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Transcript of JavaYDL5
![Page 1: JavaYDL5](https://reader036.fdocuments.us/reader036/viewer/2022062513/555c3d2bd8b42a2c068b4b0a/html5/thumbnails/1.jpg)
1Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Chapter 5 Methods
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2Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Opening Problem
Find the sum of integers from 1 to 10, from 20 to 30, and from 35 to 45, respectively.
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3Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Problem
int sum = 0;for (int i = 1; i <= 10; i++) sum += i;System.out.println("Sum from 1 to 10 is " + sum);
sum = 0;for (int i = 20; i <= 30; i++) sum += i;System.out.println("Sum from 20 to 30 is " + sum);
sum = 0;for (int i = 35; i <= 45; i++) sum += i;System.out.println("Sum from 35 to 45 is " + sum);
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4Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Problem
int sum = 0;for (int i = 1; i <= 10; i++) sum += i;System.out.println("Sum from 1 to 10 is " + sum);
sum = 0;for (int i = 20; i <= 30; i++) sum += i;System.out.println("Sum from 20 to 30 is " + sum);
sum = 0;for (int i = 35; i <= 45; i++) sum += i;System.out.println("Sum from 35 to 45 is " + sum);
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5Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Solution
public static int sum(int i1, int i2) { int sum = 0; for (int i = i1; i <= i2; i++) sum += i; return sum;}
public static void main(String[] args) { System.out.println("Sum from 1 to 10 is " + sum(1, 10)); System.out.println("Sum from 20 to 30 is " + sum(20, 30)); System.out.println("Sum from 35 to 45 is " + sum(35, 45));}
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6Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Objectives To define methods with formal parameters (§5.2). To invoke methods with actual parameters (i.e., arguments) (§5.2). To define methods with a return value (§5.3). To define methods without a return value (§5.4). To pass arguments by value (§5.5). To develop reusable code that is modular, easy to read, easy to debug, and
easy to maintain (§5.6). To write a method that converts decimals to hexadecimals (§5.7). To use method overloading and understand ambiguous overloading (§5.8). To determine the scope of variables (§5.9). To solve mathematics problems using the methods in the Math class
(§§5.10–5.11). To apply the concept of method abstraction in software development (§5.12). To design and implement methods using stepwise refinement (§5.12).
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7Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Defining Methods
A method is a collection of statements that are grouped together to perform an operation.
public static int max(int num1, int num2) {
int result; if (num1 > num2) result = num1; else result = num2; return result;
}
modifier return value
type method name
formal parameters
return value
method body
method header
parameter list
Define a method Invoke a method
int z = max(x, y);
actual parameters (arguments)
method signature
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8Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Method Signature
Method signature is the combination of the method name and the parameter list.
public static int max(int num1, int num2) {
int result; if (num1 > num2) result = num1; else result = num2; return result;
}
modifier return value
type method name
formal parameters
return value
method body
method header
parameter list
Define a method Invoke a method
int z = max(x, y);
actual parameters (arguments)
method signature
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9Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Formal Parameters
The variables defined in the method header are known as formal parameters.
public static int max(int num1, int num2) {
int result; if (num1 > num2) result = num1; else result = num2; return result;
}
modifier return value
type method name
formal parameters
return value
method body
method header
parameter list
Define a method Invoke a method
int z = max(x, y);
actual parameters (arguments)
method signature
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10Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Actual Parameters
When a method is invoked, you pass a value to the parameter. This value is referred to as actual parameter or argument.
public static int max(int num1, int num2) {
int result; if (num1 > num2) result = num1; else result = num2; return result;
}
modifier return value
type method name
formal parameters
return value
method body
method header
parameter list
Define a method Invoke a method
int z = max(x, y);
actual parameters (arguments)
method signature
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11Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Return Value TypeA method may return a value. The returnValueType is the data type of the value the method returns. If the method does not return a value, the returnValueType is the keyword void. For example, the returnValueType in the main method is void.
public static int max(int num1, int num2) {
int result; if (num1 > num2) result = num1; else result = num2; return result;
}
modifier return value
type method name
formal parameters
return value
method body
method header
parameter list
Define a method Invoke a method
int z = max(x, y);
actual parameters (arguments)
method signature
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12Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Calling MethodsTesting the max method
This program demonstrates calling a method max to return the largest of the int values
TestMaxTestMax Run
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13Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Calling Methods, cont.
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
pass the value of i pass the value of j
animation
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14Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
i is now 5
animation
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15Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
j is now 2
animation
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16Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
invoke max(i, j)
animation
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17Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
invoke max(i, j)Pass the value of i to num1Pass the value of j to num2
animation
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18Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
declare variable result
animation
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19Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
(num1 > num2) is true since num1 is 5 and num2 is 2
animation
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20Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
result is now 5
animation
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21Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
return result, which is 5
animation
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22Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
return max(i, j) and assign the return value to k
animation
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23Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Method Invocation
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
Execute the print statement
animation
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24Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
CAUTIONA return statement is required for a value-returning method. The method shown below in (a) is logically correct, but it has a compilation error because the Java compiler thinks it possible that this method does not return any value.
To fix this problem, delete if (n < 0) in (a), so that the compiler will see a return statement to be reached regardless of how the if statement is evaluated.
public static int sign(int n) { if (n > 0) return 1; else if (n == 0) return 0; else if (n < 0) return –1; }
(a)
Should be
(b)
public static int sign(int n) { if (n > 0) return 1; else if (n == 0) return 0; else return –1; }
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25Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Reuse Methods from Other Classes
NOTE: One of the benefits of methods is for reuse. The max method can be invoked from any class besides TestMax. If you create a new class Test, you can invoke the max method using ClassName.methodName (e.g., TestMax.max).
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26Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Call Stacks
(a) The main method is invoked.
Space required for the main method k: j: 2 i: 5
(b) The max method is invoked.
Space required for the max method num2: 2 num1: 5
(d) The max method is finished and the return value is sent to k.
(e) The main method is finished.
Stack is empty
Space required for the main method k: j: 2 i: 5
Space required for the main method k: 5 j: 2 i: 5
(c) The max method is being executed.
Space required for the max method result: 5 num2: 2 num1: 5
Space required for the main method k: j: 2 i: 5
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27Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
i is declared and initialized
The main method is invoked.
i: 5
animation
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28Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
j is declared and initialized
The main method is invoked.
j: 2 i: 5
animation
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29Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
Declare k
The main method is invoked.
Space required for the main method
k: j: 2 i: 5
animation
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30Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
Invoke max(i, j)
The main method is invoked.
Space required for the main method
k: j: 2 i: 5
animation
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31Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
pass the values of i and j to num1 and num2
The max method is invoked.
num2: 2 num1: 5
Space required for the main method
k: j: 2 i: 5
animation
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32Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
Declare result
The max method is invoked.
result:
num2: 2 num1: 5
Space required for the main method
k: j: 2 i: 5
animation
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33Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
(num1 > num2) is true
The max method is invoked.
result:
num2: 2 num1: 5
Space required for the main method
k: j: 2 i: 5
animation
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34Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
Assign num1 to result
The max method is invoked.
Space required for the max method result: 5
num2: 2 num1: 5
Space required for the main method
k: j: 2 i: 5
animation
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35Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
Return result and assign it to k
The max method is invoked.
Space required for the max method result: 5
num2: 2 num1: 5
Space required for the main method k:5
j: 2 i: 5
animation
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36Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trace Call Stack
public static void main(String[] args) { int i = 5; int j = 2; int k = max(i, j); System.out.println( "The maximum between " + i + " and " + j + " is " + k); }
public static int max(int num1, int num2) { int result; if (num1 > num2) result = num1; else result = num2; return result; }
Execute print statement
The main method is invoked.
Space required for the main method k:5
j: 2 i: 5
animation
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37Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
void Method Example
This type of method does not return a value. The method performs some actions.
TestVoidMethodTestVoidMethod Run
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38Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Passing Parameterspublic static void nPrintln(String message, int n) { for (int i = 0; i < n; i++) System.out.println(message);}
Suppose you invoke the method using nPrintln(“Welcome to Java”, 5);
What is the output?
Suppose you invoke the method using nPrintln(“Computer Science”, 15);
What is the output?
Can you invoke the method using nPrintln(15, “Computer Science”);
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39Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Pass by Value
This program demonstrates passing values to the methods.
IncrementIncrement Run
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40Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Pass by Value
Testing Pass by value
This program demonstrates passing values to the methods.
TestPassByValueTestPassByValue Run
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41Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Pass by Value, cont.
The main method is invoked
The values of num1 and num2 are passed to n1 and n2. Executing swap does not affect num1 and num2.
Space required for the main method
num2: 2 num1: 1
The swap method is invoked
Space required for the main method
num2: 2 num1: 1
Space required for the swap method temp:
n2: 2 n1: 1
The swap method is finished
Space required for the main method
num2: 2 num1: 1
The main method is finished
Stack is empty
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42Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Modularizing Code
Methods can be used to reduce redundant coding and enable code reuse. Methods can also be used to modularize code and improve the quality of the program.
GreatestCommonDivisorMethodGreatestCommonDivisorMethod
Run
PrimeNumberMethodPrimeNumberMethod
Run
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43Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Problem: Converting Decimals to Hexadecimals
Write a method that converts a decimal integer to a hexadecimal.
Decimal2HexConversionDecimal2HexConversion Run
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44Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Overloading Methods
Overloading the max Method
public static double max(double num1, double num2) {
if (num1 > num2) return num1; else return num2;}
TestMethodOverloadingTestMethodOverloading Run
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45Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Ambiguous Invocation
Sometimes there may be two or more possible matches for an invocation of a method, but the compiler cannot determine the most specific match. This is referred to as ambiguous invocation. Ambiguous invocation is a compilation error.
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46Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Ambiguous Invocationpublic class AmbiguousOverloading { public static void main(String[] args) { System.out.println(max(1, 2)); } public static double max(int num1, double num2) { if (num1 > num2) return num1; else return num2; } public static double max(double num1, int num2) { if (num1 > num2) return num1; else return num2; }}
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47Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Scope of Local Variables
A local variable: a variable defined inside a method.
Scope: the part of the program where the variable can be referenced.
The scope of a local variable starts from its declaration and continues to the end of the block that contains the variable. A local variable must be declared before it can be used.
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48Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Scope of Local Variables, cont.
You can declare a local variable with the same name multiple times in different non-nesting blocks in a method, but you cannot declare a local variable twice in nested blocks.
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49Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Scope of Local Variables, cont.A variable declared in the initial action part of a for loop header has its scope in the entire loop. But a variable declared inside a for loop body has its scope limited in the loop body from its declaration and to the end of the block that contains the variable.
public static void method1() { . . for (int i = 1; i < 10; i++) { . . int j; . . . } }
The scope of j
The scope of i
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50Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Scope of Local Variables, cont.
public static void method1() { int x = 1; int y = 1;
for (int i = 1; i < 10; i++) {
x += i; }
for (int i = 1; i < 10; i++) {
y += i; } }
It is fine to declare i in two non-nesting blocks
public static void method2() { int i = 1; int sum = 0;
for (int i = 1; i < 10; i++) {
sum += i; } }
It is wrong to declare i in two nesting blocks
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51Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Scope of Local Variables, cont.// Fine with no errorspublic static void correctMethod() { int x = 1; int y = 1; // i is declared for (int i = 1; i < 10; i++) { x += i; } // i is declared again for (int i = 1; i < 10; i++) { y += i; }}
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52Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Scope of Local Variables, cont.
// With errorspublic static void incorrectMethod() { int x = 1; int y = 1; for (int i = 1; i < 10; i++) { int x = 0; x += i; }}
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53Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Method Abstraction
You can think of the method body as a black box that contains the detailed implementation for the method.
Method Header
Method body
Black Box
Optional arguments for Input
Optional return value
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54Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Benefits of Methods
• Write a method once and reuse it anywhere.
• Information hiding. Hide the implementation from the user.
• Reduce complexity.
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55Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
The Math Class Class constants:
– PI– E
Class methods: – Trigonometric Methods – Exponent Methods– Rounding Methods– min, max, abs, and random Methods
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56Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Trigonometric Methods sin(double a)
cos(double a)
tan(double a)
acos(double a)
asin(double a)
atan(double a)
Radians
toRadians(90)
Examples:
Math.sin(0) returns 0.0
Math.sin(Math.PI / 6) returns 0.5
Math.sin(Math.PI / 2) returns 1.0
Math.cos(0) returns 1.0
Math.cos(Math.PI / 6) returns 0.866
Math.cos(Math.PI / 2) returns 0
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57Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Exponent Methods exp(double a)
Returns e raised to the power of a.
log(double a)
Returns the natural logarithm of a.
log10(double a)
Returns the 10-based logarithm of a.
pow(double a, double b)
Returns a raised to the power of b.
sqrt(double a)
Returns the square root of a.
Examples:
Math.exp(1) returns 2.71
Math.log(2.71) returns 1.0
Math.pow(2, 3) returns 8.0
Math.pow(3, 2) returns 9.0
Math.pow(3.5, 2.5) returns 22.91765
Math.sqrt(4) returns 2.0
Math.sqrt(10.5) returns 3.24
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58Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Rounding Methods double ceil(double x)
x rounded up to its nearest integer. This integer is returned as a double value.
double floor(double x)x is rounded down to its nearest integer. This integer is returned as a
double value.
double rint(double x)x is rounded to its nearest integer. If x is equally close to two integers,
the even one is returned as a double.
int round(float x)Return (int)Math.floor(x+0.5).
long round(double x)Return (long)Math.floor(x+0.5).
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59Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Rounding Methods ExamplesMath.ceil(2.1) returns 3.0 Math.ceil(2.0) returns 2.0Math.ceil(-2.0) returns –2.0Math.ceil(-2.1) returns -2.0Math.floor(2.1) returns 2.0Math.floor(2.0) returns 2.0Math.floor(-2.0) returns –2.0Math.floor(-2.1) returns -3.0Math.rint(2.1) returns 2.0Math.rint(2.0) returns 2.0Math.rint(-2.0) returns –2.0Math.rint(-2.1) returns -2.0Math.rint(2.5) returns 2.0Math.rint(-2.5) returns -2.0Math.round(2.6f) returns 3 Math.round(2.0) returns 2 Math.round(-2.0f) returns -2
Math.round(-2.6) returns -3
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60Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
min, max, and abs max(a, b)and min(a, b)
Returns the maximum or minimum of two parameters.
abs(a)Returns the absolute value of the parameter.
random()Returns a random double valuein the range [0.0, 1.0).
Examples:
Math.max(2, 3) returns 3
Math.max(2.5, 3) returns 3.0
Math.min(2.5, 3.6) returns 2.5
Math.abs(-2) returns 2
Math.abs(-2.1) returns 2.1
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61Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
The random MethodGenerates a random double value greater than or equal to 0.0 and less than 1.0 (0 <= Math.random() < 1.0).
Examples:
(int)(Math.random() * 10) Returns a random integer
between 0 and 9.
50 + (int)(Math.random() * 50) Returns a random integer between 50 and 99.
In general,
a + Math.random() * b Returns a random number between
a and a + b, excluding a + b.
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62Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Case Study: Generating Random Characters
Computer programs process numerical data and characters. You have seen many examples that involve numerical data. It is also important to understand characters and how to process them. As introduced in Section 2.9, each character has a unique Unicode between 0 and FFFF in hexadecimal (65535 in decimal). To generate a random character is to generate a random integer between 0 and 65535 using the following expression: (note that since 0 <= Math.random() < 1.0, you have to add 1 to 65535.)
(int)(Math.random() * (65535 + 1))
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63Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Case Study: Generating Random Characters, cont.
Now let us consider how to generate a random lowercase letter. The Unicode for lowercase letters are consecutive integers starting from the Unicode for 'a', then for 'b', 'c', ..., and 'z'. The Unicode for 'a' is
(int)'a'
So, a random integer between (int)'a' and (int)'z' is(int)((int)'a' + Math.random() * ((int)'z' - (int)'a' + 1)
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64Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Case Study: Generating Random Characters, cont.
Now let us consider how to generate a random lowercase letter. The Unicode for lowercase letters are consecutive integers starting from the Unicode for 'a', then for 'b', 'c', ..., and 'z'. The Unicode for 'a' is
(int)'a'
So, a random integer between (int)'a' and (int)'z' is(int)((int)'a' + Math.random() * ((int)'z' - (int)'a' + 1)
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65Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Case Study: Generating Random Characters, cont.
As discussed in Chapter 2., all numeric operators can be applied to the char operands. The char operand is cast into a number if the other operand is a number or a character. So, the preceding expression can be simplified as follows:
'a' + Math.random() * ('z' - 'a' + 1)
So a random lowercase letter is(char)('a' + Math.random() * ('z' - 'a' + 1))
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66Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Case Study: Generating Random Characters, cont.
To generalize the foregoing discussion, a random character between any two characters ch1 and ch2 with ch1 < ch2 can be generated as follows:
(char)(ch1 + Math.random() * (ch2 – ch1 + 1))
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67Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
The RandomCharacter Class// RandomCharacter.java: Generate random characterspublic class RandomCharacter { /** Generate a random character between ch1 and ch2 */ public static char getRandomCharacter(char ch1, char ch2) { return (char)(ch1 + Math.random() * (ch2 - ch1 + 1)); } /** Generate a random lowercase letter */ public static char getRandomLowerCaseLetter() { return getRandomCharacter('a', 'z'); } /** Generate a random uppercase letter */ public static char getRandomUpperCaseLetter() { return getRandomCharacter('A', 'Z'); } /** Generate a random digit character */ public static char getRandomDigitCharacter() { return getRandomCharacter('0', '9'); } /** Generate a random character */ public static char getRandomCharacter() { return getRandomCharacter('\u0000', '\uFFFF'); }}
TestRandomCharacterTestRandomCharacter
Run
RandomCharacterRandomCharacter
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68Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Stepwise Refinement (Optional)
The concept of method abstraction can be applied to the process of developing programs. When writing a large program, you can use the “divide and conquer” strategy, also known as stepwise refinement, to decompose it into subproblems. The subproblems can be further decomposed into smaller, more manageable problems.
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69Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
PrintCalender Case Study Let us use the PrintCalendar example to demonstrate the stepwise refinement approach.
PrintCalendarPrintCalendar Run
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70Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Design Diagram
printCalendar (main)
readInput printMonth
getStartDay
printMonthTitle printMonthBody
getTotalNumOfDays
getNumOfDaysInMonth
getMonthName
isLeapYear
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71Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Design Diagram
printCalendar (main)
readInput printMonth
getStartDay
printMonthTitle printMonthBody
getTotalNumOfDays
getNumOfDaysInMonth
getMonthName
isLeapYear
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72Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Design Diagram
printCalendar (main)
readInput printMonth
getStartDay
printMonthTitle printMonthBody
getTotalNumOfDays
getNumOfDaysInMonth
getMonthName
isLeapYear
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73Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Design Diagram
printCalendar (main)
readInput printMonth
getStartDay
printMonthTitle printMonthBody
getTotalNumOfDays
getNumOfDaysInMonth
getMonthName
isLeapYear
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74Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Design Diagram
printCalendar (main)
readInput printMonth
getStartDay
printMonthTitle printMonthBody
getTotalNumOfDays
getNumOfDaysInMonth
getMonthName
isLeapYear
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75Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Design Diagram
printCalendar (main)
readInput printMonth
getStartDay
printMonthTitle printMonthBody
getTotalNumOfDays
getNumOfDaysInMonth
getMonthName
isLeapYear
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76Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Implementation: Top-Down
A Skeleton for printCalendarA Skeleton for printCalendar
Top-down approach is to implement one method in the structure chart at a time from the top to the bottom. Stubs can be used for the methods waiting to be implemented. A stub is a simple but incomplete version of a method. The use of stubs enables you to test invoking the method from a caller. Implement the main method first and then use a stub for the printMonth method. For example, let printMonth display the year and the month in the stub. Thus, your program may begin like this:
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77Liang, Introduction to Java Programming, Ninth Edition, (c) 2013 Pearson Education, Inc. All rights reserved.
Implementation: Bottom-UpBottom-up approach is to implement one method in the structure chart at a time from the bottom to the top. For each method implemented, write a test program to test it. Both top-down and bottom-up methods are fine. Both approaches implement the methods incrementally and help to isolate programming errors and makes debugging easy. Sometimes, they can be used together.