CSC141- Introduction to Computer
programming
Teacher:
AHMED MUMTAZ MUSTEHSAN
Lecture – 17
Thanks for Lecture Slides:
http://freedownload.is/ppt/c-programming-skills-part-4-arrays-119712.html
2003 Prentice Hall, Inc.
Arrays a Quick revision
Arrays
• Structures of related data items
• Static allocation (same size throughout program)
• Array is a consecutive allocation of memory locations.
• Each element has the same name and the same data
type such as (int, char, float or double)
How to access an element?
• Use array name and position number (index)
• Generic Format: name[ position ]
•
First element is at position 0
Concepts to remember
An array of N-Elements
a[ 0 ], a[ 1 ] … a[ n - 1 ]
Last (nth element at position n-1)
Use array elements like other variables
Example of using an integer array a
a[ 3 ] = 5;
cout << a[ 3 ];
May use expressions to replace subscript
A [ 2 + 3 ] is equal to a[5]
Pictorial form of an Arrays
Name of array a [ index]
a[0]
-76
a[1]
6
a[2]
0
a[3]
72
a[4]a
1543
a[5]
-89
a[6]
0
a[7]a
62
a[8]
-3
a[9]
1
a[10]
6453
a[11]
78
Position number of the
element within array a
Declaring Arrays
When declaring arrays, specify
• Name
• Type of array i.e. any data type
• Number of elements i.e the size of the array
type arrayName[ arraySize ];
int a [ 20 ]; // array of 20 integers
float f [ 1234 ]; // array of 1234 float elements
Declaring multiple arrays of same type by using comma
separated list, like variable declarations,
int a [ 100 ], b [ 200 ];
Initializing Arrays
Initializing arrays
• Use For loop
• Initialize each element
• Use Initializer list, Specify each element with array declaration
int a[ 5 ] = { 1, 2, 3, 4};
• If not enough initializers, rightmost elements 0
• If too many elements then syntax error
int a[ 5 ] = { 1, 2, 3, 4, 5, 6};
• To set every element to same value
int a [ 5 ] = { 0 };
• If array size omitted, initializers determine size
int a [] = { 1, 2, 3, 4, 5 };
• 5 initialization elements, therefore 5 element array
Initializing an array.
//
#include <iostream.h>
int main()
{
int n[ 10 ];
Declare a 10-element array
of integers.
// n is an array of 10 integers
Initialize array to 0 using a
for loop. Note that the
array has elements n[0]
to n[9].
// initialize elements of array n to 0
for ( int i = 0; i < 10; i++ )
n[ i ] = 0;
// set element at location i to 0
cout << “\t Element"
<< “\t Value" << endl;
// output contents of array n in tabular format
for ( int j = 0; j < 10; j++ )
cout << j << n[ j ] << endl;
return 0; // indicates successful termination
} // end main
Program Output
Element
0
1
2
3
4
5
6
7
8
9
Value
0
0
0
0
0
0
0
0
0
0
//
Initializing an array with a declaration.
#include <iostream.h>
#include <iomanip.h>
Note the use of
int main()
{
initializer list.
// use initializer list to initialize array n
int n[ 10 ] = { 32, 27, 64, 18, 95, 14, 90, 70, 60, 37 }; Program Output
Element
0
1
// output contents of array n in tabular format
2
for ( int i = 0; i < 10; i++ )
3
cout << setw( 7 ) << i << setw( 13 ) << n[ i ] << endl;
4
5
return 0; // indicates successful termination
6
7
8
} // end main
9
cout << "Element" << setw( 13 ) << "Value" << endl;
the
Value
32
27
64
18
95
14
90
70
60
37
Examples Using Arrays
Array size
• Can be specified with constant variable (const)
• const int size = 20;
•
•
•
Constants cannot be changed throughout the
execution of program
Constants must be initialized when declared
Also called named constants or read-only variables
//
Initialize array s to the even integers from 2 to 20.
#include <iostream.h>
#include <iomanip.h>
Note use of const
keyword. Only const
variables can specify array
sizes.
int main()
{
// constant variable can be used to specify array
size
The
program becomes more
const int arraySize = 10;
scalable when we set the array
int s[ arraySize ];
size using a const variable. We
can change arraySize, and
allvalues
the loops will still work
the
(otherwise, we’d have to update
every loop in the program).
// array s has 10 elements
for ( int i = 0; i < arraySize; i++ )
s[ i ] = 2 + 2 * i;
// set
cout << “\t Element" << “\t Value" << endl;
// output contents of array s in tabular format
for ( int j = 0; j < arraySize; j++ )
cout << j << s[ j ] << endl;
return 0;
} // end main
// indicates successful termination
Program Output
Element
0
1
2
3
4
5
6
7
8
9
Value
2
4
6
8
10
12
14
16
18
20
//
Compute the sum of the elements of the array.
#include <iostream.h>
int main()
{
const int arraySize = 10;
int a[ arraySize ] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 };
int total = 0;
// sum contents of array a
for ( int i = 0; i < arraySize; i++ )
total += a[ i ];
cout << "Total of array element values is " << total << endl;
return 0;
// indicates successful termination
} // end main
Total of array element values is 55
Histogram printing program.
//
#include <iostream.h>
#include <iomanip.h>
int main()
{
const int arraySize = 10;
int n[ arraySize ] = { 19, 3, 15, 7, 11, 9, 13, 5, 17, 1 };
cout << "Element" << setw( 13 ) << "Value"
<< setw( 17 ) << "Histogram" << endl;
// for each element of array n, output a bar in histogram
for ( int i = 0; i < arraySize; i++ ) {
Prints asterisks
cout << setw( 7 ) << i << setw( 13 )
corresponding to
<< n[ i ] << setw( 9 );
size of
array element, n[i].
for ( int j = 0; j < n[ i ]; j++ )
// print one bar
cout << '*';
cout << endl; // start next line of output
} // end outer for structure
return 0;
} // end main
// indicates successful termination
Output
Element
0
1
2
3
4
5
6
7
8
9
Value
19
3
15
7
11
9
13
5
17
1
Histogram
*******************
***
***************
*******
***********
*********
*************
*****
*****************
*
//
Roll a six-sided die 6000 times.
#include <iostream.h>
#include <stdlib.h>
#include <time.h>
An array is used instead of 6
regular variables, and the proper
element can be updated easily
(without needing a switch).
int main()
{
This creates a number between 1
const int arraySize = 7;
int frequency[ arraySize ] = { 0 };
and 6, which determines the
srand( time( 0 ) ); // seed random-number generator
index of frequency[] that
should be incremented.
// roll die 6000 times
for ( int roll = 1; roll <= 6000; roll++ )
++frequency[ 1 + rand() % 6 ]; // replaces 20-line switch
cout << "Face" << setw( 13 ) << "Frequency" << endl;
// output frequency elements 1-6 in tabular format
for ( int face = 1; face < arraySize; face++ )
cout << face
<< frequency[ face ] << endl;
return 0;
} // end main
// indicates successful termination
Program Output
Face
1
2
3
4
5
6
Frequency
1003
1004
999
980
1013
1001
// Finding the maximum and the minimum elements.
#include <iostream.h>
int main()
{
const int arraySize = 10;
int a[ arraySize ] = { 13, 2, -10, 13, 50, -6, 70, 8, 90, 10 };
int max, min;
max = min = a [ 0 ] ;
Notice: Multiple
// search the contents of array assignment
a
for ( int i = 1; i < arraySize; i++ )
if ( a[ i ] > max )
max = a [ i ];
else if ( a [ i ] < min )
min = a [ i ];
cout << “The minimum element value is " << min << endl;
cout << “The maximum element value is " << max << endl;
return 0; // indicates successful termination
} // end main
The minimum element value is -10
The maximum element value is 90
Sorting Arrays
Sorting data: (arranging data elements in ascending or
descending order:
•
•
Important computing application
Every organization sometimes requires to sort some
data
Bubble sort
• Several passes through the array
• Successive pairs of elements are compared
• If increasing order (or identical), no change
• If decreasing order, elements exchanged
• Repeat these steps for every element
Bubble Sort
Example:
• Go left to right, and exchange elements as
necessary
• One pass for each element
• Original: 7 3 2 4 6
• Pass 1:
3 2 4 6 7 (elements exchanged)
• Pass 2:
2 3 4 6 7
• Pass 3:
2 3 4 6 7 (no changes needed)
• Pass 4:
2 3 4 6 7
• Pass 5:
2 3 4 6 7
• Small elements "bubble" to the top
(like 2 in this example)
Bubble Sort coding guide
Swapping variables
int x = 3, y = 4;
y = x;
x = y;
What happened?
• Both x and y are 3 ?
• Need a temporary variable
Solution
int x = 3, y = 4, temp = 0;
temp = x; // temp gets 3
x = y; // x gets 4
y = temp; // y gets 3
// Bubble sort an array's values into ascending order.
#include <iostream.h>
#include <iomanip.h>
int main()
{
const int arraySize = 10; // size of array a
int a[ arraySize ] = { 2, 6, 4, 8, 10, 12, 89, 68, 45, 37 };
int temp; // temporary location used to swap array elements
cout << "Data items in original order\n";
for ( int i = 0; i < arraySize; i++ )
cout << a[ i ];
// bubble sort. loop to control number of passes
for ( int pass = 0; pass < arraySize - 1; pass++ )
for ( int j = 0; j < arraySize - 1; j++ )
if ( a[ j ] > a[ j + 1 ] ) {
temp = a[ j ];
Program Output
a[ j ] = a[ j + 1 ];
a[ j + 1 ] = temp;
} // end if
Data items in original order
2
6
4
8 10 12 89 68
cout << "\nData items in ascending order\n";
Data items in ascending order
for ( int k = 0; k < arraySize; k++ )
2
4
6
8 10 12 37 45
cout << a[ k ];
cout << endl;
return 0; // indicates successful termination
} // end main
45
37
68
89
Passing Arrays to Functions
Specify name without brackets
• To pass array myArray to myFunction
int myArray[ 24 ];
myFunction( myArray, 24 );
•
•
Array size usually passed, but not required
Useful to iterate over all elements
Passing Arrays to Functions
Arrays passed-by-reference
• Functions can modify original array data
• Name of array is address of the first element
• Function knows where the array is stored
• Can change original memory locations
Individual array elements can be passed-by-value Like
regular variables
• square( myArray[3] );
Passing Arrays to Functions
Functions taking arrays
• Function prototype
• void modifyArray( int b[], int arraySize );
• void modifyArray( int [], int );
– Names optional in prototype
• Both take an integer array and a single integer
• No need for array size between brackets
• Ignored by compiler
• If declare array parameter as const, then Array
elements cannot be modified (compiler error)
• void doNotModify( const int [] );
// Passing arrays to function and modify the elements.
#include <iostream.h>
#include <iomanip.h>
void modifyArray( int [ ], int ); // appears strange
int main()
{
const int arraySize = 5;
// size of array a
int a[ arraySize ] = { 0, 1, 2, 3, 4 }; // initialize a
cout << “Effects of passing entire array by reference:\n\n”;
cout << "\nThe values of the original array are:\n";
Pass array name (a) and
for ( int i = 0; i < arraySize; i++ )
size to function. Arrays are
cout << a[ i ];
passed-by-reference.
cout << endl;
modifyArray( a, arraySize ); // pass array a to modifyArray by reference
cout << "The values of the modified array are:\n";
for ( int j = 0; j < arraySize; j++ )
Although named b, the
cout << a[ j ];
array points to the original
return 0; // indicates successful termination
array a. It can modify a’s
} // end main
data.
void modifyArray( int b[ ], int sizeOfArray )
{
// multiply each array element by 2
for ( int k = 0; k < sizeOfArray; k++ )
b[ k ] *= 2;
} // end function modifyArray
Effects of passing entire array by
reference:
The values of
0 1 2 3
The values of
0 2 4 6
the original array are:
4
the modified array are:
8
// using function to input and to print arrays.
#include <iostream.h>
#include <iomanip.h>
void inputArray( int [ ], int );
void printArray( const int [ ], int );
int main()
{
const int arraySize = 5; // size of array a
int a[ arraySize ];
// declare array a un-initialized
inputArray( a, arraySize ); // pass array a to inputArray by reference
printArray( a, arraySize ); // pass array a to printArray by reference
return 0; // indicates successful termination
} // end main
void inputArray( int b[ ], int n )
{
cout << “Please enter “ << n << “ integer elements\n”;
for ( int k = 0; k < n; k++ )
cin >> b[ k ];
cout << endl;
} // end function inputArray
void printArray( const int b[ ], int n )
Please enter 5 integer elements
{
5 10 3 7 14
cout << “Array elements printed using function:\n”;
for ( int k = 0; k < n; k++ )
Array elements printed using
cout << setw( 3 ) << a[ k ];
function:
cout << endl;
5 10 3 7 14
} // end function printArray
Computing Mean, Median and Mode of
Arrays Using Functions
Mean
• Average (sum/number of elements)
Median
• Number in middle of sorted list
• 1, 2, 3, 4, 5 (3 is median)
• If even number of elements, take average of middle
two
Mode
• Number that occurs most often
• 1, 1, 1, 2, 3, 3, 4, 5 (1 is mode)
Computing Mean (Average)
// This function computes and returns the average of array elements
double mean( const int x[], int arraySize )
{
int sum = 0;
// sum the array values
for ( int i = 0; i < arraySize; i++ )
We cast to a double to
sum += x[ i ];
return (double ) sum / arraySize; decimal points for the
} // end function mean
average (instead of an
integer).
get
Computing Median; (Element in the Middle)
// This function determines the median element’s value
double median( int x[], int size )
{
// sort array and determine median element's value
bubbleSort( x, size ); // sort array
Sort array by passing it to
a function. This keeps the
// If the size is odd the median is x [size / 2 program
]
modular.
// If the size is even the median is the average
// of the two middle elements x[(size - 1)/2] and x[size/2]
if (size % 2 != 0) // odd size
return x [ size / 2];
else
return ( x [ (size – 1) / 2] + x [ size / 2] ) / 2.0 ;
} // end function median
Finding the Mode
(The most frequent element)
// This function returns the most frequent element in an array
// The elements’ values range between 1 and 9
int mode(int x[], int size )
{
int largestFreq = 0;
// represents largest frequency
int modeValue = 0; // represents most frequent element
int freq[ 10 ] = { 0 }; // declare and initialize frequencies to 0
// summarize frequencies
for ( int j = 0; j < size; j++ )
++freq[ x[ j ] ];
for ( int i = 1; i <= 9; i++ ) {
// keep track of mode value and largest frequency value
if ( freq[ i ] > largestFreq ) {
largestFreq = freq[ i ];
The mode is the value that
modeValue = i;
occurs most often (has the
} // end if
highest value in freq).
} // end for
// return the mode value
return modeValue;
} // end function mode
Bubble Sort Function
// This function sorts an array with bubble sort
algorithm
void bubbleSort( int a[], int size )
{
int temp; // temporary variable used to swap elements
// loop to control number of passes
for ( int pass = 1; pass < size; pass++ )
// loop to control number of comparisons per pass
for ( int j = 0; j < size – 1 ; j++ )
// swap elements if out of order
if ( a[ j ] > a[ j + 1 ] ) {
temp = a[ j ];
a[ j ] = a[ j + 1 ];
a[ j + 1 ] = temp;
} // end if
} // end function bubbleSort
To reduce the number of
comparisons, the for-loop
continuation-condition can be
written as:
j < size – pass
e.g., if size=5:
Pass 1  4
comparisons
Pass 2  3 comparisons
Pass 3  2 comparisons
Searching Arrays: Linear Search
Search array for a key value
Linear search
• Compare each element of array with key value
• Start at one end, go to other
• Useful for small and unsorted arrays
• Inefficient, if search key not present, examines every
element
Linear Search Function
// The function compares key to every element of array until location
// is found or until end of array is reached; return subscript of
// element key or -1 if key not found
int linearSearch( const int array[], int key, int sizeOfArray )
{
for ( int j = 0; j < sizeOfArray; j++ )
if ( array[ j ] == key )
return j;
return -1;
// key not found
} // end function linearSearch
// if found,
// return location of key
Multiple-Subscripted Arrays
Multiple subscripts
• a[ i ][ j ]
•
•
•
•
•
Tables with rows and columns
Specify row, then column
“Array of arrays”
a[0] is an array of 4 elements
a[0][0] is the first element of that array
Array name
Column 0
Row 0
a[ 0 ][ 0 ]
Row 1
a[ 1 ][ 0 ]
Row 2
a[ 2 ][ 0 ]
Column 1
a[ 0 ][ 1 ]
a[ 1 ][ 1 ]
a[ 2 ][ 1 ]
Row subscript
Column 2
Column 3
a[ 0 ][ 2 ]
a[ 0 ][ 3 ]
a[ 1 ][ 2 ]
a[ 1 ][ 3 ]
a[ 2 ][ 2 ]
a[ 2 ][ 3 ]
Column subscript
Two-dimensional Array: Referencing
Referenced like normal
cout << b[ 0 ][ 1 ];
1
3
0
4
•
Outputs 0
•
Cannot reference using commas, Syntax error
cout << b[ 0, 1 ];
Function prototypes
• Must specify sizes of subscripts
• First subscript not necessary, as with single-scripted
arrays
• void printArray( int [][ 3 ] );
// Initializing and printing multidimensional
arrays.
#include <iostream.h >
Note the format of the
prototype.
void printArray( int [][ 3 ] );
int main()
{
int array1[ 2 ][ 3 ] = { { 1, 2, 3 }, { 4, 5, 6 } };
int array2[ 2 ][ 3 ] = { 1, 2, 3, 4, 5 };
int array3[ 2 ][ 3 ] = { { 1, 2 }, { 4 } };
Note the various
initialization styles. The
cout << "Values in array1 by row are:" << endl; elements in array2 are
printArray( array1 );
assigned to the first row
and then the second.
cout << "Values in array2 by row are:" << endl;
printArray( array2 );
cout << "Values in array3 by row are:" << endl;
printArray( array3 );
return 0; // indicates successful termination
} // end main
// Function to output array with two rows and three columns
void printArray( int a[][ 3 ] )
{
For-loops are often used to
for ( int r = 0; r < 2; r++ ) {
// for each
row through arrays.
iterate
for ( int c = 0; c < 3; c++ )
cout << a[ r ][ c ] << ' ';
cout << endl;
Nested loops are helpful
// output column
values
with multiple-subscripted
arrays.
// start new line of output
} // end outer for structure
} // end function printArray
Values in array1 by row are:
1 2 3
4 5 6
Values in array2 by row are:
1 2 3
4 5 0
Values in array3 by row are:
1 2 0
4 0 0
Two-dimensional Array: Example
Tracking Students Grades
Program showing initialization
• Keep track of students grades
• Uses two-dimensional array (table)
• Rows are students
Quiz1
• Columns are grades
Student0
Student1
95
89
Quiz2
85
80
// Tracking Students
#include <iostream.h>
#include <iomanip>
const int students = 3;
const int exams = 4;
grades example.
// number of students
// number of exams
// function prototypes
int minimum( int [][ exams ], int, int );
int maximum( int [][ exams ], int, int );
double average( int [], int );
void printArray( int [][ exams ], int, int );
int main()
{
// initialize student grades for three students (rows)
int studentGrades[ students ][ exams ] = { { 77, 68, 86, 73 },
{ 96, 87, 89, 78 },
{ 70, 90, 86, 81 } };
// output array studentGrades
cout << "The array is:\n";
printArray( studentGrades, students, exams );
// determine smallest and largest grade values
cout << "\n\nLowest grade: " << minimum( studentGrades, students, exams )
<< "\nHighest grade: " << maximum( studentGrades, students, exams )
<< '\n';
// calculate average grade for each student
for ( int person = 0; person < students; person++ )
cout << "The average grade for student " << person
<< " is "
<< average( studentGrades[ person ], exams )
Determines
<< endl;
return 0;
// indicates successful termination
} // end main
the average for
one student. We pass the
array/row containing the
student’s grades. Note that
studentGrades[0] is
itself an array.
// The following function finds minimum grade
int minimum( int grades[][ exams ], int pupils, int tests )
{
int lowGrade = 100; // initialize to highest possible grade
for ( int i = 0; i < pupils; i++ )
for ( int j = 0; j < tests; j++ )
if ( grades[ i ][ j ] < lowGrade )
lowGrade = grades[ i ][ j ];
return lowGrade;
} // end function minimum
// The following function finds maximum grade of all grades
int maximum( int grades[][ exams ], int pupils, int tests )
{
int highGrade = 0; // initialize to lowest possible grade
for ( int i = 0; i < pupils; i++ )
for ( int j = 0; j < tests; j++ )
if ( grades[ i ][ j ] > highGrade )
highGrade = grades[ i ][ j ];
return highGrade;
} // end function maximum
// The following function determines average grade for particular
student
double average( int setOfGrades[], int tests )
{
int sum = 0;
// total all grades for one student
for ( int i = 0; i < tests; i++ )
sum += setOfGrades[ i ];
return static_cast< double >( sum ) / tests;
} // end function maximum
// average
// The following function prints the two-dimensional array of students grades
void printArray( int grades[][ exams ], int pupils, int tests )
{
// set left justification and output column heads
cout << left << "
[0] [1] [2] [3]";
// output grades in tabular format
for ( int i = 0; i < pupils; i++ ) {
// output label for row
cout << "\nstudentGrades[" << i << "] ";
// output one grades for one student
for ( int j = 0; j < tests; j++ )
cout << setw( 5 ) << grades[ i ][ j ];
} // end outer for
} // end function printArray
The array is:
[0]
studentGrades[0] 77
studentGrades[1] 96
studentGrades[2] 70
[1]
68
87
90
[2]
86
89
86
[3]
73
78
81
Lowest grade: 68
Highest grade: 96
The average grade for student 0 is 76.00
The average grade for student 1 is 87.50
The average grade for student 2 is 81.75
Examples Using Arrays
Strings
• Arrays of characters
• All strings end with null character denoted by ('\0')
•
•
Examples
char string1[] = "hello";
– Null character implicitly added
– string1 has 6 elements
•
char string1[] = { 'h', 'e', 'l', 'l',
'o', '\0’ };
•
Subscripting is the same
String1[ 0 ] is 'h'
string1[ 2 ] is 'l'
Examples Using Arrays
Input from keyboard
char string2[ 10 ];
cin >> string2;
•
•
•
Puts user input in string
Stops at first whitespace character
Adds null character
• If too much text entered, data written beyond array
Printing strings
• cout << string2 << endl;
• Does not work for other array types
• Characters printed until null found
// Treating character arrays as strings.
#include <iostream.h>
Two different ways to
declare strings. string2
is initialized, and its size
20 determined automatically .
int main()
{
char string1[ 20 ],
// reserves
characters
char string2[] = "string literal"; // reserves 15
characters
Examples of reading
strings from the keyboard
and printing them out.
// read string from user into array string2
cout << "Enter the string \"hello there\": ";
cin >> string1; // reads "hello" [space terminates input]
// output strings
cout << "string1 is: " << string1
<< "\nstring2 is: " << string2;
cout << "\nstring1 with spaces between characters is:\n";
// output characters until null character is reached
for ( int i = 0; string1[ i ] != '\0'; i++ )
Can
cout << string1[ i ] << ' ';
cin >> string1; // reads "there"
cout << "\nstring1 is: " << string1 << endl;
return 0;
// indicates successful termination
} // end main
Enter the string "hello there": hello there
string1 is: hello
string2 is: string literal
string1 with spaces between characters is:
h e l l o
string1 is: there
access the characters
in a string using array
notation. The loop ends
when the null character
is found.