Programming Fundamental Instructor Name: Lecture-7 Today’s Lecture Repetition Structure (Loops) 2 Repetition Structure Programs are not limited to a linear sequence of statements. During its process, a program may repeat segments of code, or take decisions and bifurcate. To add a list of numbers a variable for each number and one for the total would need to be declared. For a different number of values, recoding would be required. . For that purpose, C++ provides flow control statements that serve to specify what has to be done by our program, when, and under which circumstances. C++ has three repetition structures that repeat statements over and over until certain conditions are met 3 Repetition Structure In our day to day life, most of the things are repeated. Days and nights repeat themselves 30 times a month. Four seasons replace each other every year. We can see similar phenomenon in the practical life. For example, in the payroll system, some procedures are same for all the employees. These are repeatedly applied while dealing with the employees. 4 Repetition Structure So repetition is very useful structure in the programming. Programming languages provide various control structures that allow for more complicated execution paths. What are Loops? A Repetition Structure (loop) statement allows us to execute a statement or group of statements multiple times Loops repeat a statement a certain number of times, or while a condition is fulfilled. 5 Repetition Structure Problem Statement Print the sum of first 10 whole numbers. Solution Following statement may be the one way to do it cout<<“Sum of First 10 Whole Number is:”<<1+2+3+4+5+6+7+8+9+10; This method is perfectly fine as the syntax is correct. And you can apply the same method for calculating sum of 20,30,40,50 or even 100 whole numbers. What if you have to calculate sum of first 1000 numbers or more? 6 Repetition Structure Problem Statement Print the sum of first 10 whole numbers. Solution Following statement may be the one way to do it cout<<“Sum of First 10 Whole Number is:”<<1+2+3+4+5+6+7+8+9+10; This method is perfectly fine as the syntax is correct. And you can apply the same method for calculating sum of 20,30,40,50 or even 100 whole numbers. What if you have to calculate sum of first 1000 numbers or more? 7 Repetition Structure Analyze the Problem We have to calculate sum of first 1000 numbers We will start from 1 and end at 1000. so our first integer is 1 How will you find the next integer? You have to simply add 1 to the integer and find the next which is 2 To Find the next integer what you need to do? You have to simply add 1 to the previous integer (2) and find the next which is 3 So whenever we have to find out the next integer, we have to add 1 to the previous integer. 8 Repetition Structure Solution of Problem We have to calculate the sum of first 100 numbers. What you need to store sum value? We will take a variable sum of type int Initialize the variable with some valid value. What would be that valid value? int sum=0; For sum always initialize with zero For product always initialize with one Start with 1 and add it to sum (sum would become 0+1=1) Get next integer by adding 1 to previous integer i.e. 2 and add it to sum (sum would become 1+2=3) Repeat previous step until you reach 100 9 Repetition Structure Solution of Problem Have you noticed any thing in the solution different? ? We are adding 1 to previous integer and the new integer to sum and we are repeating this procedure again and again. This is what we call as REPETITION. C++ provides many looping constructs We will start with while loop structure 10 Repetition Structure While Loop Structure A while loop statement repeatedly executes a target statement as long as a given condition is true. Sysntax of While Loop is while(condition) { statement(s); } Here, statement(s) may be a single statement or a block of statements. The condition may be any expression, and true is any non-zero value. The loop iterates while the condition is true. When the condition becomes false, program control passes to the line immediately following the loop. 11 · In C++, while is a reserved word. · The expression acts as a decision maker. It is called the loop condition. · The statement can be either a simple or compound statement. It is called the body of the loop. Explanations: (Step 1) If logical Expression evaluates to true, the statement executes. (Step 2) The logical Expression is reevaluated. The body of the loop continues to execute until the logical Expression is false. Repetition Structure using namespace std; #include<iostream> main() { int sum, number; sum = 0; number = 1; while(number <= 100) { sum = sum + number; number = number + 1; } cout << "The sum of first 100 integers starting from 1 is " << sum; } 14 Repetition Structure Counter Control Repetition The example code on previous slides prints sum of first 100 numbers The declaration at start names the control variable (number), declares it to be an integer, reserves space for it in memory and sets it to an initial value of 1. Declarations that require initialization are, in effect, executable statements. The declaration and initialization of number also could have been accomplished with the statement int number=1; We use both methods of initialization 15 Repetition Structure Counter Control Repetition The statement number = number + 1; increments the loop counter by 1 each time the loop's body is performed The statement sum = sum + number; adds next number to previous value of sum The loop-continuation condition in the while statement determines whether the value of the control variable is less than or equal to 100 (the final value for which the condition is TRUE). 16 Repetition Structure Counter Control Repetition The body of this while executes even when the control variable is 100. The loop terminates when the control variable is greater than 100 (i.e., when number becomes 101). The while condition can be made more concise by initializing number to 0 and by replacing the while statement with while ( ++number <= 100 ) sum=sum + number; By using ++ in condition we will no longer required to use statement number=number+1 to increment value of number. Leave more discussion on ++ for upcoming lectures. 17 Repetition Structure Infinite Loop A loop becomes infinite loop if a condition never becomes false. Simply if the loop increment statement number=number+1; Changes to number=number-1; The loop will become infinite, because the loop condition will never be false. It means the value of number will always remain less than the upperlimit. 18 Problem • Write a program for sum of numbers by prompting upper limit • Write a program for sum of even number by prompting upper limit Repetition Structure Infinite Loop A loop becomes infinite loop if a condition never becomes false. Simply if the loop increment statement number=number+1; Changes to number=number-1; The loop will become infinite, because the loop condition will never be false. It means the value of number will always remain less than the upperlimit. 21 While loop Cases Case 1: Counter-controlled while loop Case 2:Sentinel Controlled While Loop Case 3:Flag-controlled while loops Case 4: EOF-controlled while loop Case 1- Counter-controlled while loop Infinite loop - a loop that continues to execute endlessly is called an. An infinite loop just never ends - loops and loops forever, because the stopping condition is never met. Case 1: Counter-controlled while loop The exact number of pieces of data is known – for example it is N The counter is initialized to 0, then is evaluated to be <= N, then incremented in the body of the loop. Case 1- Counter-controlled while loop Example: int i, sum; sum = 0; i = 1; while (i <= 100) { sum = sum + i; i=i+1; } cout << "The sum of the first 100 numbers is " << sum << endl; Case 2-Sentinel Controlled While Loop · Case 2: Sentinel-controlled while loop The exact number of pieces of data is not know, but the last entry is a special value, called a sentinel The first item is read before the while statement if it does not equal the sentinel, the body of the while statement executes Each additional item is read within the while statement. Case 2-Sentinel Controlled While Loop Example: int N, sum; cout << "Enter the numbers to be added (for a sentinel enter 0):" << endl; sum = 0; cin >> N; while (N != 0) { sum = sum + N; cin >> N; } cout << "The sum of the entered numbers is " << sum << endl; Telephone Digits Write a program reads the letter codes A to Z and prints the corresponding telephone digit. Program will terminate when user press # button. int main() { char letter; cout << "Program to convert uppercase \n letters to their corresponding \n telephone digits. \n To stop the program enter #." << endl; cout << "Enter a letter: "; cin >> letter; cout << endl; while (letter != '#') { cout << "The letter you entered is: " << letter << endl; cout << "The corresponding telephone \n digit is: "; if (letter >= 'A' && letter <= 'Z') switch (letter) { case 'A': case 'B': case 'C': cout << "2" break; case 'D': case 'E': case 'F': cout << "3" break; case 'G': case 'H': case 'I': cout << "4" break; case 'J': case 'K': case 'L': cout << "5" break; case 'M': case 'N': case 'O': cout << "6" break; <<endl; << endl; << endl; << endl; << endl; case 'P': case 'Q': case 'R': case 'S': cout << "7" << endl; break; case 'T': case 'U': case 'V': cout << "8" << endl; break; case 'W': case 'X': case 'Y': case 'Z': cout << "9" << endl; } else cout << "Invalid input." << endl; cout << "\n Enter another uppercase " << "letter to find its " << "corresponding telephone digit." << endl; cout << "To stop the program enter #." << endl; cout << "Enter a letter: "; cin >> letter; cout << endl; } Getch(); } Case-3Flag-controlled while loops Case 3: Flag-controlled while loops uses a Boolean variable to control the loop The Boolean variable is set to either true or false while the expression evaluates to true, the loop statement continues The Boolean variable must be set/reset within the while statement. Number Guessing Game Generate a random number between 0 and 1000. If the user guesses the number correctly, the program outputs an appropriate message. Otherwise, the program checks whether the guessed number is less than the random number. And display message accordingly. uses the function rand of the header file cstdlib to generate a random number. rand() returns an int value using namespace std; #include<iostream> #include <conio.h> #include <cstdlib> main() { int i=rand(); cout<<i; getch(); } Number Guessing Game To convert it to an integer greater than or equal to 0 and less than 100. rand() % 100 It is possible that every time you run your program, the function rand gives the same random number. In this case, you can use the function time, of the header file ctime, to include the time. The function time returns time as a long value. The following expression uses both the functions rand and time to generate a random integer greater than or equal to 0 and less than 100: (rand() + time(0)) % 100; #include <iostream > #include <cstdlib > #include <conio.h > using namespace std; int main() { int num; int guess; bool done; num = (rand() + time(0)) % 100; done = false; while (!done) { cout << "Enter an integer greater" << " than or equal to 0 and " << "less than 100: " <<endl; cin >> guess; cout << endl; if (guess == num) { cout << "You guessed the correct " << "number." << endl; done = true; } else if (guess < num) cout << "Your guess is lower " << "than the number.\n" << "Guess again!" << endl; else cout << "Your guess is higher " << "than the number.\n" << "Guess again!" << endl; } getch(); } Case 4: EOF-controlled while loop Case 4: EOF-controlled while loop The while statement executes until there are no more data items If the program has reached the end of the input data or enters into the fail state, the input stream variable returns false; in other cases, the input stream variable returns true The first item is read before the while statement and if the input stream variable is true, the while statement is entered; additional items are read within the while statement. Note. In the DOS environment, the end-of-file marker is entered using ctrl+z. Case 4: EOF-controlled while loop Until now, we have used an input stream variable, such as cin, and the extraction operator, >>, to read and store data into variables. However, the input stream variable can also return a value after reading data. If the program has reached the end of the input data, the input stream variable returns the logical value false Case 4: EOF-controlled while loop Example: int N, sum; cout << "Enter the numbers to be added (for end enter ctrl+z):" << endl; sum = 0; cin >> N; while (cin) { sum = sum + N; cin >> N; } cout << "The sum of the entered numbers is " << sum << endl; Sample Program 3 Problem statement: Calculate the factorial of a given number. Solution: The factorial of a number N is defined as: N(N-1)(N-2)………….3.2.1 Practice Problem Problem-1 Write a program that determine whether given number is prime or not? (without using break statement) Problem-2 Write a program for Counting Digits and displaying their total count at the end of the program. 8713105 - 7 digits 156 - 3 digits - 1 digit Problem-3 Write a program of Euclid’s for gcd. Read the properties first and then start your coding. Properties 1. gcd(a,a)=a 2. If a > b, then gcd(a,b) = gcd(a‐b,b) Repetition Structure Home Activities Calculate the sum of odd integers for a given upper limit. Also draw flow chart of the program. Calculate the sum of even and odd integers separately for a given upper limit using only one loop structure. Also draw flow chart of the program. Find the Factorial for the number input by the user. Flow Chart Must be practiced at home 42 43
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