Chapter One: Methods, Arrays

1. Chapter One: Methods, Arrays

2. Introducing Methods • A method is a collection of statements that are grouped together to perform an operation.

3. Introducing Methods…… • Method signature is the combination of the method name and the parameter list. • The variables defined in the method header are known as formal parameters or simply parameter. • You need to declare a separate data type for each parameter. For instance, int num1,num2 should be replaced by int num1, int num2. • When a method is invoked, you pass a value to the parameter. This value is referred to asactual parameter or argument.

4. Introducing Methods…… A method may return a value. • ThereturnValueTypeis the data type of the value the method returns. • If the method does not return a value, the returnValueTypeis the keyword void. • For example, thereturnValueTypein themainmethod is void.

5. Calling a method • This program demonstrates calling a method max to return the largest of theintvalues

6. Calling a method….. • public class TestMax { • /** Main method */ • 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); • } • /** Return the max between two numbers */ • public static int max(int num1, int num2) { • int result; • if (num1 > num2) • result = num1; • else • result = num2; • return result; • } • }

7. Calling a method…..

8. Trace Method Invocation i is now 5

9. Trace Method Invocation…. j is now 2

10. Trace Method Invocation…. invoke max(i, j)

11. Trace Method Invocation…. invoke max(i, j) Pass the value of i to num1 Pass the value of j to num2

12. Trace Method Invocation…. declare variable result

13. animation Trace Method Invocation…. Trace Method Invocation (num1 > num2) is true since num1 is 5 and num2 is 2

14. animation Trace Method Invocation…. Trace Method Invocation result is now 5

15. animation Trace Method Invocation…. Trace Method Invocation return result, which is 5

16. animation Trace Method Invocation…. Trace Method Invocation return max(i, j) and assign the return value to k

17. animation Trace Method Invocation…. Trace Method Invocation Execute the print statement

18. Reuse Methods from Other Classes • One of the benefits of methods is for reuse. • The max method can be invoked from any(as it is declared public) class besides TestMax. • If you create a new class Test, you can invoke the max method using ClassName.methodName(…) (because it is declared static). Example: • Math.sqrt(900.0) • TestMax.max

19. Reuse Methods from Other Classes • If it were not declared static the method is accessed using instance of the class, object. ClassNamecn = new ClassName(…); cn.methodName(…);

20. Call Stacks

21. animation Trace Call Stack i is declared and initialized

22. animation Trace Call Stack j is declared and initialized

23. animation Trace Call Stack Declare k

24. animation Trace Call Stack Invoke max(i, j)

25. Trace Call Stack pass the values of i and j to num1 and num2

26. animation Trace Call Stack pass the values of i and j to num1 and num2

27. animation Trace Call Stack (num1 > num2) is true

28. animation Trace Call Stack Assign num1 to result

29. animation Trace Call Stack Return result and assign it to k

30. animation Trace Call Stack Execute print statement

31. Passing Parameters • There are two ways to pass a variable to the called function: pass by value and pass by reference • Example (C++ code)

32. Passing Parameters…… • Pass by value (how it works) • The contents of memory of   i   and   j   don't change • Pass by reference (how it works) • The contents of memory of   i   and  j   don't change Java is strictly pass by value

33. Overloading Methods • Defining more than one methods with the same name but different parameter lists within one class. • The Java compiler determines which method is used based on the method signature.

34. Overloading Methods……

35. 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. Example: max(1,2); • Ambiguous invocation is a compilation error.

36. Ambiguous Invocation…. public 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; } }

37. Benefits of Methods • Write a method once and reuse it anywhere. Avoids “reinventing a wheel” • Information hiding. Hide the implementation from the user. • You can think of the method body as a black box that contains the detailed implementation for the method. • Reduce complexity.

38. Methods defined in the Math Class • Class constants: • PI • E (base of natural logarithm) • Class methods: • Trigonometric Methods • Exponent Methods • Rounding Methods • min, max, abs, and random Methods

39. Trigonometric Methods • public static double sin(double redians) • public static double cos(double redians) • public static double tan(double redians) • public static double asin(double redians) • public static double acos(double redians) • public static double atan(double redians) • public static double toRadians(double degree) • public static double toDegrees(double degree)

40. Trigonometric Methods ……. 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

41. Exponent Methods • public static double exp(double a) Returns e raised to the power ofa. • public static double log(double a) Returns the natural logarithm of a. (ln(x) = loge(x)) • public static double log10(double a) Returns the 10-based logarithm of a. • public static double pow(double a, double b) Returnsaraised to the power of b. • public static double sqrt(double a) Returns the square root of a.

42. Exponent Methods ….. 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

43. Rounding Methods • public static double ceil(double x) x rounded up to its nearest integer. This integer is returned as a double value. • public static double floor(double x) x is rounded down to its nearest integer. This integer is returned as a double value. • public static 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. • public static intround(float x) Return (int)Math.floor(x+0.5). • public static long round(double x) Return (long)Math.floor(x+0.5).

44. Rounding Methods, example Math.ceil(2.1) returns 3.0 Math.ceil(2.0) returns 2.0 Math.ceil(-2.0) returns –2.0 Math.ceil(-2.1) returns -2.0 Math.floor(2.1) returns 2.0 Math.floor(2.0) returns 2.0 Math.floor(-2.0) returns –2.0 Math.floor(-2.1) returns -3.0 Math.rint(2.1) returns 2.0 Math.rint(2.0) returns 2.0 Math.rint(-2.0) returns –2.0 Math.rint(-2.1) returns -2.0 Math.rint(2.5) returns 2.0 Math.rint(-2.5) returns -2.0 Math.round(2.6f) returns 3 Math.round(2.0) returns 2 Math.round(-2.0f) returns -2 Math.round(-2.6) returns -3

45. min, max, and abs 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 • 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 value in the range [0.0, 1.0).

46. The random Method • Generates a random double value greater than or equal to 0.0 and less than 1.0 ( 0.0 <= Math.random() < 1.0). Examples: In general,