Iteration.

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Presentation transcript:

Iteration

Java looping Options while do-while for Allow programs to control how many times a statement list is executed

Averaging Problem Extract a list of positive numbers from standard input and produce their average Numbers are one per line A negative number acts as a sentinel to indicate that there are no more numbers to process Observations Cannot supply sufficient code using just assignments and conditional constructs to solve the problem Don’t how big of a list to process Need ability to repeat code as needed

Averaging Problem Extract a list of positive numbers from standard input and produce their average Numbers are one per line A negative number acts as a sentinel to indicate that there are no more numbers to process Algorithm Prepare for processing Get first input While there is an input to process do { Process current input Get the next input } Perform final processing

Averaging Problem Extract a list of positive numbers from standard input and produce their average Numbers are one per line A negative number acts as a sentinel to indicate that there are no more numbers to process Sample run Enter positive numbers one per line. Indicate end of list with a negative number. 4.5 0.5 1.3 -1 Average 2.1

public class NumberAverage { // main(): application entry point public static void main(String[] args) throws IOException { // set up the list processing // prompt user for values // get first value // process values one-by-one while (value >= 0) { // add value to running total // processed another value // prepare next iteration - get next value } // display result if (valuesProcessed > 0) // compute and display average else // indicate no average to display Roadmap for program

System.out.println("Enter positive numbers 1 per line.\n" + "Indicate end of the list with a negative number."); Scanner stdin = new Scanner(System.in); int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); The role of valuesProcessed is to indicate how many values have been processed. Because no values have been processed yet, valuesProcessed is initialized to 0. Variable valueSum maintains the running total of the input values processed so far. Therefore, it is initialized to 0. By properly updating variables valuesProcessed and valueSum whenever an input value is extracted, the average of the inputs can be computed. The average will be equal to valueSum / valuesProcessed. The program next issues a prompt that tells the user both how to supply the values and how to indicate that there are no more values to consider. In particular, the user is told that positive numbers are to be entered, one per line. The user is also told that a negative number means that the list is complete. In programming parlance, this end of list value is called a sentinel. The first value is extracted before the loop. The value is extracted before the while loop because the statements that make up the action of a loop have been designed to process a list value. They are not intended for dealing with the sentinel.

While syntax and semantics When a while statement is executed, its test expression is evaluated first. If the expression evaluates true, its body is executed, where the body is the action of the while statement. The evaluation process then is repeated. If the expression reevaluates to true, the body is executed again. This process is called looping, and it continues until the test expression evaluates to false. At that point, execution continues with the next statement in the program.

While semantics for averaging problem When a while statement is executed, its test expression is evaluated first. If the expression evaluates true, its body is executed, where the body is the action of the while statement. The evaluation process then is repeated. If the expression reevaluates to true, the body is executed again. This process is called looping, and it continues until the test expression evaluates to false. At that point, execution continues with the next statement in the program.

While Semantics

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); The tracing of the execution of a method by hand is an important program debugging technique. Hand-checking code can give insight into how a method works.

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); The tracing of the execution of a method by hand is an important program debugging technique. Hand-checking code can give insight into how a method works.

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum value 4.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum value 4.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 4.5 value 4.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 4.5 value 4.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 4.5 value 0.5 4.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 4.5 value 0.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 5.0 4.5 value 0.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed 2 1 int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 5.0 value 0.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed 2 int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 5.0 value 1.3 0.5

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed 2 int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 5.0 value 1.3

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed 2 int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 6.3 5.0 value 1.3

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed 2 int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 6.3 value 1.3

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 6.3 value -1 1.3

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 6.3 value -1

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 6.3 value -1

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 6.3 value -1 average 2.1

Execution Trace Suppose input contains: 4.5 0.5 1.3 -1 valuesProcessed int valuesProcessed = 0; double valueSum = 0; double value = stdin.nextDouble()); while (value >= 0) { valueSum += value; ++valuesProcessed; value = stdin.nextDouble()); } if (valuesProcessed > 0) { double average = valueSum / valuesProcessed; System.out.println("Average: " + average); else { System.out.println("No list to average"); valueSum 6.3 value -1 average 2.1

Converting text to strictly lowercase public static void main(String[] args) { Scanner stdin = new Scanner(System.in); System.out.println("Enter input to be converted:"); String converted = ""; while (stdin.hasNext()) { String currentLine = stdin.nextLine(); String currentConversion = currentLine.toLowerCase(); converted += (currentConversion + "\n"); } System.out.println("\nConversion is:\n" + converted); An empty line is not an indication that no text is being provided. Instead, an empty line corresponds to an empty string. To indicate that no more text is being provided, the user must enter an operating system-dependent escape sequence (sentinel). The Windows sentinel value is Ctrl+z and for most other operating systems it is Ctrl+d. For historic reasons regarding earlier programming languages, software developers commonly refer to the sentinel value as end-of-file.

Sample run

Program trace public static void main(String[] args) { Scanner stdin = new Scanner(System.in); System.out.println("Enter input to be converted:"); String converted = ""; while (stdin.hasNext()) { String currentLine = stdin.nextLine(); String currentConversion = currentLine.toLowerCase(); converted += (currentConversion + "\n"); } System.out.println("\nConversion is:\n" + converted); If the user provides text, then currentLine is initialized with the first line from the standard input stream. If instead, the user indicates that they are not providing an input, then currentLine is initialized with the value null

Program trace public static void main(String[] args) { Scanner stdin = new Scanner(System.in); System.out.println("Enter input to be converted:"); String converted = ""; while (stdin.hasNext()) { String currentLine = stdin.nextLine(); String currentConversion = currentLine.toLowerCase(); converted += (currentConversion + "\n"); } System.out.println("\nConversion is:\n" + converted);

Program trace public static void main(String[] args) { Scanner stdin = new Scanner(System.in); System.out.println("Enter input to be converted:"); String converted = ""; while (stdin.hasNext()) { String currentLine = stdin.nextLine(); String currentConversion = currentLine.toLowerCase(); converted += (currentConversion + "\n"); } System.out.println("\nConversion is:\n" + converted);

Program trace public static void main(String[] args) { Scanner stdin = new Scanner(System.in); System.out.println("Enter input to be converted:"); String converted = ""; while (stdin.hasNext()) { String currentLine = stdin.nextLine(); String currentConversion = currentLine.toLowerCase(); converted += (currentConversion + "\n"); } System.out.println("\nConversion is:\n" + converted); The append assignment completes the processing of the current line. To prepare for the next iteration of the loop, another input stream extraction is attempted.     

Program trace

Converting text to strictly lowercase public static void main(String[] args) { Scanner stdin = new Scanner(System.in); System.out.println("Enter input to be converted:"); String converted = ""; while (stdin.hasNext()) { String currentLine = stdin.nextLine(); String currentConversion = currentLine.toLowerCase(); converted += (currentConversion + "\n"); } System.out.println("\nConversion is:\n" + converted);

Loop design Questions to consider in loop design and analysis What initialization is necessary for the loop’s test expression? What initialization is necessary for the loop’s processing? What causes the loop to terminate? What actions should the loop perform? What actions are necessary to prepare for the next iteration of the loop? What conditions are true and what conditions are false when the loop is terminated? When the loop completes what actions are need to prepare for subsequent program processing?

Reading a file Background

Reading a file Class File Provides a system-independent way of representing a file name Constructor File(String s) Creates a File with name s Name can be either an absolute pathname or a pathname relative to the current working folder

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close();

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Set up standard input stream

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Determine file name

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Determine the associated file

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Set up file stream

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Process lines one by one

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Is there any text

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Get the next line of text

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Display current line

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Make sure there is another to process If not, loop is done

Reading a file Scanner stdin = new Scanner(System.in); System.out.print("Filename: "); String filename = stdin.next(); File file = new File(filename); Scanner fileIn = new Scanner(file); while (fileIn.hasNext()) { String currentLine = fileIn.nextLine(); System.out.println(currentLine); } fileIn.close(); Close the stream

The For Statement

The For Statement

The For Statement

The For Statement

The For Statement

For statement syntax

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println(“i is " + i); } System.out.println(“all done"); i is 0 i

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i 1

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i 1

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i 1

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i 1

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i 2

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i 2

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i is 2 i 2

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i is 2 i 2

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i is 2 i 3

Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i is 2 i 3

Variable i has gone out of scope – it Execution Trace for (int i = 0; i < 3; ++i) { System.out.println("i is " + i); } System.out.println("all done"); i is 0 i is 1 i is 2 all done 3 i is undefined – its scope is limited to the loop Variable i has gone out of scope – it is local to the loop

Nested loops int m = 2; int n = 3; for (int i = 0; i < n; ++i) { System.out.println("i is " + i); for (int j = 0; j < m; ++j) { System.out.println(" j is " + j); } is part of the action associated with the for loop that begins on the third line of the segment. We say that this loop is the outer loop. The expression i < n that controls the iteration of the loop evaluates to true three times with i taking on in turn the values 0, 1, and 2. Thus, there are three lines of output that begin with “i is ”. Each time there is such a display, the for loop beginning on the fifth line of the segment is executed. We say this loop is an inner or nested loop. It is important to realize that an inner loop starts up once per iteration of its outer loop. For our example, each time the inner loop is executed, the expression j < m evaluates to true two times with j taking on in turn the values 0 and 1. Nesting one loop in another loop produces a multiplicative effect in terms of the number of statements that are executed. For our example, the outer for loop action is executed n times. Each one of those times, the inner for loop action is executed m times. As a result, the inner for loop action is performed a total of m  n times.

Nested loops int m = 2; int n = 3; for (int i = 0; i < n; ++i) { System.out.println("i is " + i); for (int j = 0; j < m; ++j) { System.out.println(" j is " + j); } i is 0 j is 0 j is 1 i is 1 i is 2 is part of the action associated with the for loop that begins on the third line of the segment. We say that this loop is the outer loop. The expression i < n that controls the iteration of the loop evaluates to true three times with i taking on in turn the values 0, 1, and 2. Thus, there are three lines of output that begin with “i is ”. Each time there is such a display, the for loop beginning on the fifth line of the segment is executed. We say this loop is an inner or nested loop. It is important to realize that an inner loop starts up once per iteration of its outer loop. For our example, each time the inner loop is executed, the expression j < m evaluates to true two times with j taking on in turn the values 0 and 1. Nesting one loop in another loop produces a multiplicative effect in terms of the number of statements that are executed. For our example, the outer for loop action is executed n times. Each one of those times, the inner for loop action is executed m times. As a result, the inner for loop action is performed a total of m  n times.

The do-while statement Syntax do Action while (Expression) Semantics Execute Action If Expression is true then execute Action again Repeat this process until Expression evaluates to false Action is either a single statement or a group of statements within braces Action true Expression false

Picking off digits Consider System.out.print("Enter a positive number: "); int number = stdin.nextInt()); do { int digit = number % 10; System.out.println(digit); number = number / 10; } while (number != 0); Sample behavior Enter a positive number: 1129 9 2 1 There is always at least one digit to display. A segment with a while loop would be either awkward or have repeated code

Problem solving

Internet per 100 people for 189 entities 0.09 0.16 8.97 0.23 6.52 6.75 1.42 13.65 34.45 0.16 4.32 5.84 0.08 3.74 1.78 22.89 6.24 0.25 1.44 1.01 1.54 2.94 9.14 5.28 0.08 0.07 0.05 41.3 1.84 0.04 0.04 16.58 1.74 38.64 13.7 2.07 5.67 0.27 5.59 0.54 17.88 9.71 0.01 36.59 0.22 1.86 1.42 0.71 0.8 0.15 0.13 27.21 73.4 1.47 14.43 6.43 1.22 0.92 0.42 29.18 0.15 9.47 4.36 0.7 0.1 0.25 6.04 0.25 0.62 7.15 59.79 0.54 0.39 20.7 20.26 23.04 3.11 29.31 2.53 0.62 0.65 40.25 7.84 1.06 0.11 6.19 8.58 0.19 0.02 0.18 22.66 0.19 0.15 15.9 2.23 0.17 13.08 1.17 0.19 2.74 39.71 1.26 0.71 0.06 0.01 1.71 0.22 24.39 21.67 0.99 0.04 0.18 49.05 25.05 3.55 0.09 1.1 2.81 0.73 9.74 2.01 7.25 24.94 10.22 5.01 1.2 3.57 0.06 4.79 3.09 0.56 48.7 4.36 0.93 0.42 0.1 29.87 12.03 15.08 0.46 0.01 5.49 13.43 0.64 2.7 0.99 45.58 29.62 0.19 28.1 0.05 3.79 2.47 7.73 2.61 3.06 0.13 0.18 0.69 28.2 30.12 0.33 11.09 0.49 2.03 3.93 0.25 0.08 3.76 0.19 0.37 25.86 0.22 0.27 7.78 37.23 1.75 0.94 1.8 6.09 3.17 18.6 7.4 0.1 0.86 45.07 11.15 7.29

Data set manipulation Often five values of particular interest Minimum Maximum Mean Standard deviation Size of data set Let’s design a data set representation Together the minimum and maximum let us know the range of the values; the mean is the average data set value, which often gives insight on what is a typical value; and the standard deviation gives insight on how clustered the data set values are around the average. (Our implementation of a data set representation DataSet.java leaves the computing of a standard deviation to the exercises.)

What facilitators are needed?

Implication on facilitators public double getMinimum() Returns the minimum value in the data set. If the data set is empty, then Double.NaN is returned, where Double.NaN is the Java double value representing the status not-a-number public double getMaximum() Returns the maximum value in the data set. If the data set is empty, then Double.NaN is returned

Implication on facilitators public double getAverage() Returns the average value in the data set. If the data set is empty, then Double.NaN is returned public double getStandardDeviation() Returns the standard deviation value of the data set. If the data set is empty, then Double.NaN is returned Left to the interested student public int getSize() Returns the number of values in the data set being represented

What constructors are needed?

Constructors public DataSet() Initializes a representation of an empty data set public DataSet(String s) Initializes the data set using the values from the file with name s public DataSet(File file) Initializes the data set using the values from the file Left to interested student

Other methods public void addValue(double x) Adds the value x to the data set being represented public void clear() Sets the representation to that of an empty data set public void load(String s) Adds the vales from the file with name s to the data set being represented public void load(File file) Adds the vales from the file to the data set being represented Left to interested student

What instance variables are needed?

Instance variables private int n Number of values in the data set being represented private double minimumValue Minimum value in the data set being represented private double maximumValue Maximum value in the data set being represented private double xSum The sum of values in the data set being represented

Example usage DataSet dataset = new DataSet("age.txt"); System.out.println(); System.out.println("Minimum: " + dataset.getMinimum()); System.out.println("Maximum: " + dataset.getMaximum()); System.out.println("Mean: " + dataset.getAverage()); System.out.println("Size: " + dataset.getSize()); dataset.clear(); dataset.load("stature.txt");

Example usage dataset.load("foot-length.txt"); System.out.println("Minimum: " + dataset.getMinimum()); System.out.println("Maximum: " + dataset.getMaximum()); System.out.println("Mean: " + dataset.getAverage()); System.out.println("Size: " + dataset.getSize()); System.out.println(); dataset.clear();

Example usage

Methods getMinimum() and getMaximum() Straightforward implementations given correct setting of instance variables public double getMinimum() { return minimumValue; } public double getMaximum() { return maximumValue;

Method getSize() Straightforward implementations given correct setting of instance variables public int getSize() { return n; }

Method getAverage() Need to take into account that data set might be empty public double getAverage() { if (n == 0) { return Double.NaN; } else { return xSum / n;

DataSet constructors Straightforward using clear() and load() public DataSet() { clear(); } public DataSet(String s) throws IOException { load(s);

Facilitator clear() public void clear() { n = 0; xSum = 0; minimumValue = Double.NaN; maximumValue = Double.NaN; }

Facilitator add() public void addValue(double x) { xSum += x; ++n; if (n == 1) { minimumValue = maximumValue = x; } else if (x < minimumValue) { minimumValue = x; else if (x > maximumValue) { maximumValue = x;

Facilitator load() public void load(String s) throws IOException { // get a reader for the file Scanner fileIn = new Scanner( new File(s) ); // add values one by one while (fileIn.hasNext()) { double x = fileIn.nextDouble); addValue(x); } // close up file fileIn.close();