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Chapter 5 Loops Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807.

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Presentation on theme: "Chapter 5 Loops Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved. 0132130807."— Presentation transcript:

1 Chapter 5 Loops Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved

2 Objectives To write programs for executing statements repeatedly using a while loop (§5.2). To develop a program for GuessNumber and SubtractionQuizLoop (§5.2.1). To follow the loop design strategy to develop loops (§5.2.2). To develop a program for SubtractionQuizLoop (§5.2.3). To control a loop with a sentinel value (§5.2.3). To obtain large input from a file using input redirection rather than typing from the keyboard (§5.2.4). To write loops using do-while statements (§5.3). To write loops using for statements (§5.4). To discover the similarities and differences of three types of loop statements (§5.5). To write nested loops (§5.6). To learn the techniques for minimizing numerical errors (§5.7). To learn loops from a variety of examples (GCD, FutureTuition, MonteCarloSimulation) (§5.8). To implement program control with break and continue (§5.9). (GUI) To control a loop with a confirmation dialog (§5.10). Liang, Introduction to Java Programming, Eighth Edition, (c) 2011 Pearson Education, Inc. All rights reserved

3 Motivations Suppose that you need to print a string
(e.g., "Welcome to Java!") a hundred times. It would be tedious to have to write the following statement a hundred times: System.out.println("Welcome to Java!"); So, how do you solve this problem?

4 Java Loops – while, do…While, & for
There may be a situation when we need to execute a block of code several number of times, and is often referred to as a loop. Java has very flexible three looping mechanisms. You can use one of the following three loops: while Loop do...while Loop for Loop

5 Opening Problem Problem: … System.out.println("Welcome to Java!");
100 times

6 while Loop pseudocode syntax
Use a loop statement if you need to do the same thing repeatedly. pseudocode syntax while <condition> <statement(s)> Java syntax while (<condition>) { <statement(s)> } The condition is at the bottom of the loop (in contrast to the while loop, where the condition is at the top of the loop). The compiler requires putting a ";" at the very end, after the do loop's condition. Proper style dictates putting the "while" part on the same line as the "}" 1. Here's a pseudocode vs. Java syntax comparison for the while loop. 2. What are the differences? The Java while loop has: a) parentheses around the condition b) braces 3. Use braces for statements that are logically inside something else. For example, use braces to surround the statements that are inside the main method. Use braces to surround the statements that are inside the if. Use braces to surround the statements that are inside the switch. 4. As before, don't include the <>'s in your program. They are my classroom notation to indicate that the enclosed text is a description of something.

7 while Loop Flow Chart while (loop-continuation-condition) {
int count = 0; while (count < 100) { System.out.println("Welcome to Java!"); count++; } // end of while while (loop-continuation-condition) { // loop-body; Statement(s); } // end of while

8 while Loop A while loop is a control structure that allows you to repeat a task a certain number of times. Using loop statement means tell the computer to print a string a hundred times without coding: int count = 0; while (count < 100) { System.out.println("Welcome to Java"); count++; } // end of while public class Welcome { public static void main (String [ ] args){ int count = 0; while (count < 100) { System.out.println("Welcome to Java"); count++; } // end of while } // end of main method } // end of class

9 while(Boolean_expression) { //Statements }
Here key point of the while loop is that the loop might not ever run. When the expression is tested and the result is false, the loop body will be skipped and the first statement after the while loop will be executed. Syntax while(Boolean_expression) { //Statements } Example: public class Test1 { public static void main(String args[]){ int x= 10; while( x < 20 ){ System.out.print("value of x :" + x); x++; System.out.print("\n"); } //end of while } // end of main } //end of class

10 while Loop Write a main method that finds the sum of user-entered integers where is a sentinel value. public static void main(String[] args) { Scanner stdIn = new Scanner(System.in); int sum = 0; // sum of user-entered values int x; // a user-entered value System.out.print("Enter an integer ( to quit): "); x = stdIn.nextInt(); while (x != ) sum = sum + x; } // end of while System.out.println("The sum is " + sum); } // end main 1. Note that the while loop format does match the pattern on the previous slide – ()'s and braces. 2. Note that the sum variable must be initialized to 0. 3. Note that the same prompt statements appear above the loop and also at the bottom of the loop – that's very common! 4. Does anyone see an improvement we can make in terms of style? I change sum = sum + x to this: sum += x; Also, you should insert a blank line between the three variable declarations and the rest of the program. Why? Because you should separate logical chunks of code, and variable declarations are always considered to be a logical chunk of code. 10

11 import java.util.Scanner; public class SentinelValue { /** Main method */ public static void main(String[] args) { // Create a Scanner Scanner input = new Scanner(System.in); // Read an initial data System.out.print( "Enter an int value (the program exits if the input is 0): "); int data = input.nextInt(); // Keep reading data until the input is int sum = 0; while (data != 0) { sum += data; // Read the next data System.out.print( "Enter an int value (the program exits if the input is 0): "); data = input.nextInt(); } //end of while System.out.println("The sum is " + sum); } //end of main } //end of class Run Enter an int value (the program exits if the input is 0): 2 Enter an int value (the program exits if the input is 0): 3 Enter an int value (the program exits if the input is 0): 4 Enter an int value (the program exits if the input is 0): 0 The sum is 9

12 Trace while Loop int count = 0; while (count < 2) {
animation Trace while Loop Initialize count int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

13 Trace while Loop, cont. int count = 0; while (count < 2) {
animation Trace while Loop, cont. (count < 2) is true int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

14 Trace while Loop, cont. int count = 0; while (count < 2) {
animation Trace while Loop, cont. Print Welcome to Java int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

15 Trace while Loop, cont. int count = 0; while (count < 2) {
animation Trace while Loop, cont. Increase count by 1 count is 1 now int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

16 (count < 2) is still true since count is 1
animation Trace while Loop, cont. (count < 2) is still true since count is 1 int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

17 Trace while Loop, cont. int count = 0; while (count < 2) {
animation Trace while Loop, cont. Print Welcome to Java int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

18 Trace while Loop, cont. int count = 0; while (count < 2) {
animation Trace while Loop, cont. Increase count by 1 count is 2 now int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

19 (count < 2) is false since count is 2 now
animation Trace while Loop, cont. (count < 2) is false since count is 2 now int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

20 The loop exits. Execute the next statement after the loop.
animation Trace while Loop The loop exits. Execute the next statement after the loop. int count = 0; while (count < 2) { System.out.println("Welcome to Java!"); count++; }

21 Caution Don’t use floating-point values for equality checking in a loop control. Since floating-point values are approximations for some values, using them could result in imprecise counter values and inaccurate results. Consider the following code for computing : double item = 1; double sum = 0; while (item != 0) { // No guarantee item will be 0 sum += item; item -= 0.1; } System.out.println(sum); Variable item starts with 1 and is reduced by 0.1 every time the loop body is executed. The loop should terminate when item becomes 0. However, there is no guarantee that item will be exactly 0, because the floating-point arithmetic is approximated. This loop seems OK on the surface, but it is actually an infinite loop.

22 do-while Loop The do-while loop is a variation of the while loop.
The syntax below: do { // Loop body; Statement(s); } while (loop-continuation-condition);

23 do While Loop When to use a do loop:
If you know that the repeated thing will always have to be done at least one time. Syntax: do { <statement(s)> } while (<condition>); Note: The condition is at the bottom of the loop (in contrast to the while loop, where the condition is at the top of the loop). The compiler requires putting a ";" at the very end, after the do loop's condition. Proper style dictates putting the "while" part on the same line as the "}" 1. We talked about only one type of loop in pseudocode – the while loop. There are three types of loops in Java – while loops, do loops, and for loops Let's now talk about do loops … 2. By testing the condition at the bottom, it means that you're always guaranteed to execute the body of the loop at least one time. 3. Why is this an important style rule? Because if you put the while part on a separate line, then it will look like the start of a while loop. Even though in reality, it's the end of a do loop!

24 The do...while Loop If the Boolean expression is true, the flow of control jumps back up to do, and the statements in the loop execute again. This process repeats until the Boolean expression is false. public class Test2 { public static void main(String args[]){ int x= 10; do { System.out.print("value of x : " + x ); x++; System.out.print("\n"); } while( x < 20 ); } // end of main } //end of class

25 do while Loop // FloorSpace.java – Calculates total floor space in a house import java.util.Scanner; public class FloorSpace { public static void main(String[] args) { Scanner stdIn = new Scanner(System.in); double length, width; // room dimensions double floorSpace = 0; // house's total floor space String response; // user's y/n response do System.out.print("Enter the length: "); length = stdIn.nextDouble(); System.out.print("Enter the width: "); width = stdIn.nextDouble(); floorSpace += length * width; System.out.print("Any more rooms? (y/n): "); response = stdIn.next(); } while (response.equalsIgnoreCase("y")); System.out.println("The total floor space is " + floorSpace); } // end main } // end class 1. Why must next() be used instead of nextLine()? You might recall from the end of Chapter 3 that the nextLine method doesn’t work well with the other next methods. nextInt, nextDouble, and next all skip leading whitespace before reading their int, double, or string value. nextLine does not skip leading whitespace, so in this program, if nextLine were used for the ”Any more rooms?” response, it would read the leftover newline character (from the prior call to nextDouble) as the input and not read the next line. 2. Proper style dictates separating logical chunks of code with blank lines. Since loops are considered a logical chunk of code, surround all your loops with blank lines unless they're very short loops.

26 for Loops for (initial-action; loop-continuation-condition; action-after-each-iteration) { // loop body; Statement(s); } int i; for (i = 0; i < 100; i++) { System.out.println( "Welcome to Java!"); }

27 for Loop When to use a for loop: For example, use a for loop to:
If you know the exact number of loop iterations before the loop begins. For example, use a for loop to: Print this countdown from 10. Sample session: Liftoff! Find the factorial of a user-entered number. Enter a whole number: 4 4! = 24 1. Let's now talk about the third type of loop - the for loop … 2. In your program, you'll need to print ten numbers, and you should print each number with the help of a print statement inside a loop. Since the print statement should execute ten times, you know the exact number of iterations for the loop, 10. Therefore, you should use a for loop. I'll show a for loop solution for this problem on the next slide. 3. How many loop iterations for this problem? For 4 factorial, you need to multiply the values 1 through 4: 1 * 2 * 3 * 4 = 24 (I write on the board). The three *'s indicate that three multiplications are necessary. So 4 factorial requires three loop iterations. For the general case, where you need to find the factorial for a user-entered number, store the user-entered number in a count variable. Then multiply the values 1 through count like this: 1 * 2 * 3 * … * count The *'s indicate that count - 1 multiplications are necessary. So count factorial requires count – 1 loop iterations. Since you know the number of iterations for the loop (count - 1), use a for loop.

28 for Loop for loop example for loop syntax for loop semantics:
for (<initialization>; <condition>; <update>) { <statement(s)> } for loop example for (int i=10; i>0; i--) { System.out.print(i + " "); } System.out.println("Liftoff!"); for loop semantics: Before the start of the first loop iteration, execute the initialization component. At the top of each loop iteration, evaluate the condition component: If the condition is true, execute the body of the loop. If the condition is false, terminate the loop (jump to the statement below the loop's closing brace). At the bottom of each loop iteration, execute the update component and then jump to the top of the loop. 1. Here's for loop syntax, for loop semantics, and a for loop example. 2. As with the while loop, use ()'s in the for loop heading and surround the body with braces. 3. Note the three components in the for loop heading. I'll explain the 3 components by reading the semantics bullets and referring to the example code. By the way, the example code implements the first example mentioned on the previous slide - it counts down from 10 to 1. 4. I read the semantics bullets and, for each item, I point out the associated syntax and example code. 5. I verbally trace the code: i starts at 10. Is i > 0 ? Yes, so print 10 (because i is 10). Decrement i from 10 to 9. Is i > 0 ? Yes, so print 9. Decrement i from 9 to 8. etc. Thus, you'll print 10 down to 1, and then print “Liftoff” after the loop. 6. Note that as an alternative, we could have implemented this solution using a while loop or a do loop. Why is the for loop preferable? With a while loop or a do loop, we'd need an extra statement to increment a count variable. That would work OK, but using a for loop is more elegant! 7. How would you know to use a for loop for this implementation instead of a while loop or do loop? I reread the previous slide's bullet item: If you know the exact number of loop iterations (before the loop begins), use a for loop. For this example, we knew the exact number of loop iterations in advance – ten!

29 for Loop Trace this code fragment with an input value of 3.
Scanner stdIn = new Scanner(System.in); int number; // user entered number double factorial = 1.0; // factorial of user entry System.out.print("Enter a whole number: "); number = stdIn.nextInt(); for (int i=2; i<=number; i++) { factorial *= i; } System.out.println(number + "! = " + factorial); for loop index variables are often, but not always, named i for “index.” Declare for loop index variables within the for loop heading. 1. Let's make sure you really understand how the for loop works by doing a trace … 2. I read the first callout. 3. I read the second callout. With all other variable declarations, proper style suggests that you put variable declarations at the top of the method. The exception is with for loop index variables. It's legal to declare them at the top of the method along with all the other variable declarations, but most programmers declare them within the for loop heading. 4. Why use a double for factorial instead of an int? Because factorials can get pretty big and doubles can handle bigger numbers than ints (Integer.MAX_VALUE ≈ 2 billion, Double.MAX_VALUE ≈ 1.8*10308). [To increase the number of significant digits stored, we could have used long (18 significant digits) as opposed to double (15 significant digits), but we wanted to be able to handle numbers larger than the maximum long value, 9 x 1018. With a long, if there’s an attempt to store a value larger than the maximum, then a horribly inaccurate result occurs, due to overflow. With a double, if there’s an attempt to store a value larger than the maximum, then a slightly inaccurate result occurs, due to rounding.] [5. I don't mention default variable values for traces until Chapter 5 when I discuss default values in depth for local variables vs. instance variables.] 6. Trace: input number factorial i output Enter a whole number: ! = 6

30 The for loop A for loop is a repetition control structure that allows you to efficiently write a loop that needs to execute a specific number of times. A for loop is useful when you know how many times a task is to be repeated. public class Test3 { public static void main(String args[]) { for(int x = 10; x < 20; x = x+1){ System.out.print("value of x : " + x ); System.out.print("\n"); } //end of for loop } //end of main method } // end of class

31 Here is the flow of control in a for loop:
The initialization step is executed first, and only once. This step allows you to declare and initialize any loop control variables. for(int x = 10; x<20; x = x + 1); Next, the Boolean expression is evaluated. If it is true, the body of the loop is executed. x < 20; // true, then System.out.print("value of x : " + x ); // body of the loop System.out.print("\n"); //body of the for loop // increment the statement and back to checking the condition If it is false, the body of the loop does not execute and flow of control jumps to the next statement past the for loop. After the body of the for loop executes, the flow of control jumps back up to the update statement. The Boolean expression is now evaluated again. If it is true, the loop executes and the process repeats itself (body of loop, then update step,then Boolean expression). After the Boolean expression is false, the for loop terminates.

32 For Loop vs. While Loop The only thing that can make it faster would be to have less nesting of loops, and looping over less values. The only difference between a for loop and a while loop is the syntax for defining them. There is no performance difference at all. int i = 0;  while (i < 20){      // do stuff      i++;  }  Is the same as: for (int i = 0; i < 20; i++){      // do Stuff  }  (Actually the for-loop is a little better because the i will be out of scope after the loop while the i will stick around in the while loop case.) A for loop is just a syntactically prettier way of looping

33 Problem: Guessing Numbers
Write a program that randomly generates an integer between 0 and 100, inclusive. The program prompts the user to enter a number continuously until the number matches the randomly generated number. For each user input, the program tells the user whether the input is too low or too high, so the user can choose the next input intelligently. Here is a video and sample run: Video Link: Problem Guessing Numbers GuessNumber

34 import java.util.Scanner; public class GuessNumber { public static void main(String[] args) { // Generate a random number to be guessed int number = (int)(Math.random() * 101); // static double, random() Returns a double value with a positive sign, greater than or Scanner input = new Scanner(System.in); // scanner breakdown formatting/allocate input and their data type System.out.println("Guess a magic number between 0 and 100"); int guess = -1; while (guess != number) { // Prompt the user to guess the number System.out.print("\nEnter your guess: "); guess = input.nextInt(); if (guess == number) System.out.println("Yes, the number is " + number); else if (guess > number) System.out.println("Your guess is too high"); else System.out.println("Your guess is too low"); } // End of loop } }

35 Problem: An Advanced Math Learning Tool
The Math subtraction learning tool program generates just one question for each run. You can use a loop to generate questions repeatedly. This example gives a program that generates five questions and reports the number of the correct answers after a student answers all five questions. Video Link: Problem SubtractionQuizLoop

36 import java.util.Scanner; public class SubtractionQuizLoop { public static void main(String[] args) { final int NUMBER_OF_QUESTIONS = 5; // Number of questions int correctCount = 0; // Count the number of correct answers int count = 0; // Count the number of questions long startTime = System.currentTimeMillis(); String output = ""; // output string is initially empty Scanner input = new Scanner(System.in); while (count < NUMBER_OF_QUESTIONS) { // 1. Generate two random single-digit integers int number1 = (int)(Math.random() * 10); int number2 = (int)(Math.random() * 10); // 2. If number1 < number2, swap number1 with number if (number1 < number2) { int temp = number1; number1 = number2; number2 = temp; } // 3. Prompt the student to answer “What is number1 – number2?” System.out.print( "What is " + number1 + " - " + number2 + "? "); int answer = input.nextInt(); // 4. Grade the answer and display the result if (number1 - number2 == answer) { System.out.println("You are correct!"); correctCount++; } else System.out.println("Your answer is wrong.\n" + number " - " + number2 + " should be " + (number1 - number2)); // Increase the count count++; output += "\n" + number1 + "-" + number2 + "=" + answer ((number1 - number2 == answer) ? " correct" : " wrong"); } long endTime = System.currentTimeMillis(); long testTime = endTime - startTime; System.out.println("Correct count is " + correctCount "\nTest time is " + testTime / " seconds\n" + output); } } SubtractionQuizLoop

37 Ending a Loop with a Sentinel Value
Another technique for lop control is to designate a special value. Often the number of times a loop is executed is not predetermined. You may use an input value to signify the end of the loop. Such a special input values is known as a sentinel value. Write a program that reads and calculates the sum of an unspecified number of integers. The input 0 signifies the end of the input. SentinelValue

38 Trace for Loop int i; for (i = 0; i < 2; i++) { System.out.println(
animation Trace for Loop Declare i int i; for (i = 0; i < 2; i++) { System.out.println( "Welcome to Java!"); }

39 Trace for Loop, cont. int i; for (i = 0; i < 2; i++) {
animation Trace for Loop, cont. Execute initializer i is now 0 int i; for (i = 0; i < 2; i++) { System.out.println( "Welcome to Java!"); }

40 Trace for Loop, cont. int i; for (i = 0; i < 2; i++) {
animation Trace for Loop, cont. (i < 2) is true since i is 0 int i; for (i = 0; i < 2; i++) { System.out.println( "Welcome to Java!"); }

41 Trace for Loop, cont. int i; for (i = 0; i < 2; i++) {
animation Trace for Loop, cont. Print Welcome to Java int i; for (i = 0; i < 2; i++) { System.out.println("Welcome to Java!"); }

42 Execute adjustment statement
animation Trace for Loop, cont. Execute adjustment statement i now is 1 int i; for (i = 0; i < 2; i++) { System.out.println("Welcome to Java!"); }

43 Trace for Loop, cont. int i; for (i = 0; i < 2; i++) {
animation Trace for Loop, cont. (i < 2) is still true since i is 1 int i; for (i = 0; i < 2; i++) { System.out.println("Welcome to Java!"); }

44 Trace for Loop, cont. int i; for (i = 0; i < 2; i++) {
animation Trace for Loop, cont. Print Welcome to Java int i; for (i = 0; i < 2; i++) { System.out.println("Welcome to Java!"); }

45 Execute adjustment statement
animation Trace for Loop, cont. Execute adjustment statement i now is 2 int i; for (i = 0; i < 2; i++) { System.out.println("Welcome to Java!"); }

46 Trace for Loop, cont. int i; for (i = 0; i < 2; i++) {
animation Trace for Loop, cont. (i < 2) is false since i is 2 int i; for (i = 0; i < 2; i++) { System.out.println("Welcome to Java!"); }

47 Exit the loop. Execute the next statement after the loop
animation Trace for Loop, cont. Exit the loop. Execute the next statement after the loop int i; for (i = 0; i < 2; i++) { System.out.println("Welcome to Java!"); }

48 Note The initial-action in a for loop can be a list of zero or more comma-separated expressions. The action-after-each-iteration in a for loop can be a list of zero or more comma-separated statements. Therefore, the following two for loops are correct. They are rarely used in practice, however. for (int i = 1; i < 100; System.out.println(i++)); for (int i = 0, j = 0; (i + j < 10); i++, j++) { // Do something }

49 Note If the loop-continuation-condition in a for loop is omitted, it is implicitly true. Thus the statement given below in (a), which is an infinite loop, is correct. Nevertheless, it is better to use the equivalent loop in (b) to avoid confusion:

50 Caution Adding a semicolon at the end of the for clause before the loop body is a common mistake, as shown below: Logic Error for (int i=0; i<10; i++); { System.out.println("i is " + i); }

51 Caution, cont. Similarly, the following loop is also wrong:
int i=0; while (i < 10); { System.out.println("i is " + i); i++; } In the case of the do loop, the following semicolon is needed to end the loop. do { } while (i<10); Logic Error Correct

52 For Loop vs. While Loop The only thing that can make it faster would be to have less nesting of loops, and looping over less values. The only difference between a for loop and a while loop is the syntax for defining them. There is no performance difference at all. int i = 0;  while (i < 20){      // do stuff      i++;  }  Is the same as: for (int i = 0; i < 20; i++){      // do Stuff  }  (Actually the for-loop is a little better because the i will be out of scope after the loop while the i will stick around in the while loop case.) A for loop is just a syntactically prettier way of looping

53 Which Loop to Use? The three forms of loop statements, while, do-while, and for, are expressively equivalent; that is, you can write a loop in any of these three forms. For example, a while loop in (a) in the following figure can always be converted into the following for loop in (b): A for loop in (a) in the following figure can generally be converted into the following while loop in (b) except in certain special cases (see Review Question 3.19 for one of them):

54 Recommendations Use the one that is most intuitive and comfortable for you. In general, a for loop may be used if the number of repetitions is known, as, for example, when you need to print a message 100 times. A while loop may be used if the number of repetitions is not known, as in the case of reading the numbers until the input is 0 (use counter). A do-while loop can be used to replace a while loop if the loop body has to be executed before testing the continuation condition.

55 Loop Comparison for loop: do loop: while loop: When to use Template
If you know, prior to the start of loop, how many times you want to repeat the loop. If you always need to do the repeated thing at least one time. If you can't use a for loop or a do loop. Template for (int i=0; i<max; i++) { <statement(s)> } do <prompt - do it again (y/n)?> } while (<response == 'y'>); <prompt - do it (y/n)?> while (<response == 'y'>) 1. With programming, there's usually lots of different ways to accomplish the same thing. For example, for a problem that requires repetition, you can actually use any of the three loops to solve any repetition problem. Even though that's the case, you should strive to make your programs elegant and that means choosing the most appropriate loop even though any loop could be made to work. 2. All that flexibility makes programming fun if you like to be creative. But if you're just starting out, that flexibility can lead to confusion. Here's my attempt at alleviating some of that confusion. The table explains how to choose the right loop and how to get started with the loop's code. 3. When figuring out which loop to use, it's best to think about the loops in the order that they appear here. Why? Note how the for loop uses the fewest lines, the do loop uses the next fewest lines, and the while loop uses the most lines. Using fewer lines is one characteristic of elegance, and so from that perspective, the for loop is the most elegant and the do loop is the next most elegant. But that does not mean that you should try to use for loops or do loops for all your programs. Use the loop that's most appropriate for your particular problem! 4. In upcoming examples, you'll have to pick the loop that's the most appropriate.

56 Nested Loops Nested loops = a loop within a loop.
Example – Write a program that prints a rectangle of characters where the user specifies the rectangle's height, the rectangle's width, and the character's value. Sample session: Enter height: 4 Enter width: 3 Enter character: < <<<

57 Nested Loops import java.util.Scanner; public class RecAngle1 {
public static void main(String[] args) Scanner stdIn = new Scanner(System.in); int height, width; // rectangle's dimensions char printCharacter; // this character forms the rectangle System.out.print("Enter height: "); height = stdIn.nextInt(); System.out.print("Enter width: "); width = stdIn.nextInt(); System.out.print("Enter character: "); printCharacter = stdIn.next().charAt(0); for (int row=1; row<=height; row++) for (int col=1; col<=width; col++) System.out.print(printCharacter); } //end of nested for System.out.println(); } //end of for } // end main } // end class Rectangle 1. To make sure you really understand how this works, trace it on your own tonight! 2. For most problems where you're dealing with a two-dimensional picture like this rectangle example, you'll want to use nested for loops with row and column indices. As an alternative to using row and column for your index variable names, i and j are also common names for the index variables for nested for loops. 3. The homework extra credit program prints a triangle, which is a two-dimensional picture. Thus, you'll want to use nested for loops. The triangle program is similar to this rectangle program, but it's got a few twists ... 4. In this program, the inner for loop's col variable goes from 1 up to a specified width value. In the triangle program, it goes from 1 up to a value that you need to figure out. I draw the triangle program's triangle on the board and note how the number of columns is different for different rows: Hollow version of this:  5. In the triangle program, instead of printing the same character every time, you need to print either the specified character or a blank space. How can you determine which to print, the specified character or a blank space? Use an if statement! 6. The bottom line of the triangle is a special case where you print the specified character at every position. Since it's a special case, don't include it in the nested for loops. Instead, put that code below and outside of your nested for loops.

58 Boolean Variables Programs often need to keep track of the state of some condition. For example, if you're writing a program that simulates the operations of a garage door opener, you'll need to keep track of the state of the garage door's direction and the direction up or down? You need to keep track of the direction "state" because the direction determines what happens when the garage door opener's button is pressed. If the direction state is up, then pressing the garage door button causes the direction to switch to down. If the direction state is down, then pressing the garage door button causes the direction to switch to up. To implement the state of some condition, use a boolean variable. 1. We've been talking about loops for a while now. Sometimes within a loop, you'll want to change the truth or falsity of some condition. boolean variables, our next topic, help you to keep track of the truth or falsity of some condition.

59 Nested Loops Problem: Write a program that uses nested for loops to print a multiplication table. MultiplicationTable public class MultiTable { /** Main method */ public static void main(String[] args) { // Display the table heading System.out.println(" Multiplication Table"); // table title – display a title on the first line in the output // Display the number title System.out.print(" "); for (int j = 1; j <= 9; j++) //this for loop display the numbers 1 through 9 on the second line System.out.print(" " + j); System.out.println("\n "); // the dash (-) line displayed on the third line // Print table body for (int i = 1; i <= 9; i++) { //outer loop with the control variable i in the outer loop System.out.print(i + " | "); for (int j = 1; j <= 9; j++) { // Display the product and align properly //inner loop with the control variable j in the inner loop System.out.printf("%4d", i * j); // for each I, the product I * j is displayed on a line in the inner loop } //with j begin 1, 2, 3, … System.out.println(); } } }

60 Minimizing Numerical Errors
Numeric errors involving floating-point numbers are expected. This section discusses how to minimize such errors through an example. Listing 4.7. Here is an example that sums a series that starts with 0.01 and ends with 1.0. The numbers in the series will increment by 0.01, as follows: and so on. public class TestSum { public static void main(String[] args) { // Initialize sum float sum = 0; // Add 0.01, 0.02, ..., 0.99, 1 to sum for (float i = 0.01f; i <= 1.0f; i = i f) sum += i; // Display result System.out.println("The sum is " + sum); } } Video Link: Problem TestSum TestSum

61 Problem: Finding the Greatest Common Divisor
Problem: Write a program that prompts the user to enter two positive integers and finds their greatest common divisor. Solution: Suppose you enter two integers 4 and 2, their greatest common divisor is 2. Suppose you enter two integers 16 and 24, their greatest common divisor is 8. So, how do you find the greatest common divisor? Let the two input integers be n1 and n2. You know number 1 is a common divisor, but it may not be the greatest commons divisor. So you can check whether k (for k = 2, 3, 4, and so on) is a common divisor for n1 and n2, until k is greater than n1 or n2. GreatestCommonDivisor Run

62 import java. util. Scanner; public class GreatestCommonDivisor { /
import java.util.Scanner; public class GreatestCommonDivisor { /** Main method */ public static void main(String[] args) { // Create a Scanner Scanner input = new Scanner(System.in); // Prompt the user to enter two integers System.out.print("Enter first integer: "); int n1 = input.nextInt(); System.out.print("Enter second integer: "); int n2 = input.nextInt(); int gcd = 1; int k = 2; while (k <= n1 && k <= n2) { if (n1 % k == 0 && n2 % k == 0) gcd = k; k++; } System.out.println("The greatest common divisor for " + n " and " + n2 + " is " + gcd); } }

63 Problem: Predicating the Future Tuition- Listing 4.9
double tuition = 10000; int year = 1 // Year 1 tuition = tuition * 1.07; year++; // Year 2 tuition = tuition * 1.07; year++; // Year 3 tuition = tuition * 1.07; year++; // Year 4 ... FutureTuition Run

64 Problem: Predicating the Future Tuition
Problem: Suppose that the tuition for a university is $10,000 this year and tuition increases 7% every year. In how many years will the tuition be doubled? Before you write this program try to solve this problem first by hand. public class FutureTuition { public static void main(String[] args) { double tuition = 10000; // Year int year = 1; while (tuition < 20000) { tuition = tuition * 1.07; year++; } System.out.println("Tuition will be doubled in " year + " years"); } } FutureTuition Run

65 Problem: Monte Carlo Simulation
The Monte Carlo simulation refers to a technique that uses random numbers and probability to solve problems. This method has a wide range of applications in computational mathematics, physics, chemistry, and finance. This section gives an example of using the Monte Carlo simulation for estimating . Assume the radius of the Circle is 1, area is  and the square area is 4. circleArea / squareArea =  / 4.  can be approximated as 4 * numberOfHits / MonteCarloSimulation Run

66 Problem: Monte Carlo Simulation
Web Link: About Monte Carlo Simulation - Introduction public class MonteCarloSimulation { public static void main(String[] args) { final int NUMBER_OF_TRIALS = ; int numberOfHits = 0; for (int i = 0; i < NUMBER_OF_TRIALS; i++) { double x = Math.random() * ; double y = Math.random() * ; if (x * x + y * y <= 1) numberOfHits++; } //end of while double pi = 4.0 * numberOfHits / NUMBER_OF_TRIALS; System.out.println("PI is " + pi); } // end of main method } //end of class Web link: Class Math

67 Using break and continue
Examples for using the break and continue keywords that can be used in loop statements to provide additional controls. TestBreak.java // you have to used the keyword break in a switch statement // you can use break in a loop to immediately terminate the loop. TestBreak TestContinue.java TestContinue

68 Guessing Number Problem Revisited
Here is a program for guessing a number. You can rewrite it using a break statement. Listing 4.11 public class TestBreak { public static void main(String[] args) { int sum = 0; int number = 0; while (number < 20) { number++; sum += number; if (sum >= 100) break; // goes to println } System.out.println("The number is " + number); System.out.println("The sum is " + sum); } } GuessNumberUsingBreak

69 Guessing Number Problem Revisited
Here is a program for guessing a number. You can rewrite it using a continue statement. Listing 4.12 public class TestContinue { public static void main(String[] args) { int sum = 0; int number = 0; while (number < 20) { number++; if (number == 10 || number == 11) continue; sum += number; } //end of while System.out.println("The sum is " + sum); } //end of main method } //end of class TestContinue

70 Problem: Displaying Prime Numbers
Problem: Write a program that displays the first 50 prime numbers in five lines, each of which contains 10 numbers. An integer greater than 1 is prime if its only positive divisor is 1 or itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Solution: The problem can be broken into the following tasks: For number = 2, 3, 4, 5, 6, ..., test whether the number is prime. Determine whether a given number is prime. Count the prime numbers. Print each prime number, and print 10 numbers per line. PrimeNumber Run

71 Exercise 4_22 Financial application: Loan repayment schedule
Please refer to companion website for the program. Video Link: Exercise 4_22

72 (GUI) Controlling a Loop with a Confirmation Dialog
A sentinel-controlled loop can be implemented using a confirmation dialog. The answers Yes or No to continue or terminate the loop. The template of the loop may look as follows: int option = 0; while (option == JOptionPane.YES_OPTION) { System.out.println("continue loop"); option = JOptionPane.showConfirmDialog(null, "Continue?"); } SentinelValueUsingConfirmationDialog Run


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