1. 10/25: Methods & templates Return to concepts: methods Math class methods 1 st Program of the day About DrawLine.java modifications Method definitions Math.random()

2. Methods recall: a method is an action; something to do. terminology: Java API, Java class library programmer-defined methods instance (global) versus local variables methods are invoked by calling a method. methods return a result. Methods bear a conceptual resemblance to functions in equations and to templates.

3. Methods: what they look like general format of methods: methodname ( argument ) methodname ( arg, arg ) Classname.methodname ( argument ) Classname.methodname ( arg, arg ) Names of methods look similar to names of variables & objects: they don’t start with capital letter or numbers. Methods can have one or more arguments. Multiple arguments are separated by commas. Methods retrieved from libraries have the name of the class that they are associated with in front separated by a period.

4. Method headers: what they look like general format of methods: privacy returntype methodname ( type parameter ) privacy returntype methodname (type prm, type prm) optional: public or private? Can this method be used outside this class or not? Parameters are templates for the arguments that the method will use as input. Parameter types specify the kind of arguments that the method will accept as input. Return types specify the kind of variables that the method will return (or output).

5. Sample Program public class DrawLine extends JApplet { public void paint ( Graphics g ) { int y; for ( int x = 0 ; x < 150 ; x++ ) { y = drawDot ( x ); g.drawString ( ".", x, y ); } int drawDot ( int a ) { int b; b = 2 * a + 10 ; return b; }

6. Math Class Methods Math class methods provide mathematical functions for us to use. A few: abs ( x ) absolute value of x exp ( x ) exponential of x; e x max ( x, y ) returns larger value ( x or y ) min ( x, y ) returns smaller value pow ( x, y ) x y, x to the y th power sqrt ( x ) square root of x

7. Sample Program public class CallMe extends JApplet { public void paint ( Graphics g ) { g.drawString ( " My phone number is ", 25, 25 ); for ( int x = 0 ; x < 8 ; x++ ) { if ( x == 3 ) { g.drawString ( " - ", 50 + x * 7, 40 ); continue; } g.drawString ( " " + randomNumber( 9 ), 50 + x*7, 40 ); } public int randomNumber ( int a ) { int b = 0; b = (int)( Math.random() * a + 1 ); return b; }

8. 1 st Program of the day Modify DrawLine to allow user input for the slope (coefficient of x) and the y-intercept. y = 2x + 10 Modify DrawLine to draw a curved line instead of a straight line (think of parabolas and x 2 functions).

9. Math.random, more methods About DrawLine.java modifications –allow user input –draw a curve Method definitions Math.random()

10. Allow User Input (1 of 2) Add in an init method for two input dialog boxes. double coeff;//note that I declared these double yInt; //two variables as global. public void init () { cText = JOptionPane.showInputDialog (“Coefficient, please.”); yText = JOptionPane.showInputDialog (“Y-intercept, please.”); coeff = Double.parseDouble ( cText ); yInt = Double.parseDouble ( yText ); }

11. Allow User Input (2 of 2) Use coeff & yInt in the drawDot method int drawDot ( int a ) { int b; //must cast to int below b = (int) (coeff * a + yInt) ; return b; }

12. Draw a Curve Change the formula in the drawDot method from: int drawDot ( int a ) { int b; b = 2 * a + 10 ; return b; } to: int drawDot ( int a ) { int b; b = 2 * ( a * a ) + 10 ; return b; }

13. Method Definitions in SquareInt.java (simple version below), we see a method called square: public void paint ( Graphics g ) { g.drawString(square(x) + “ “,25,25); } public int square ( int y ) { return y * y ; }

14. Method Definitions public void paint ( Graphics g ) { g.drawString(square(x) + “ “,25,25); } public int square ( int y ) { return y * y ; } the method square is called in this line. Because it is in parentheses, x is the value to use as the input.

15. Method Definitions public void paint ( Graphics g ) { g.drawString(square(x) + “ “,25,25); } public int square ( int y ) { return y * y ; } x fits the requirement that it must be an integer.

16. Method Definitions public void paint ( Graphics g ) { g.drawString(square(x) + “ “,25,25); } public int square ( int y ) { return y * y ; } using x as the input, the method calculates a return value.

17. Method Definitions public void paint ( Graphics g ) { g.drawString(square(x) + “ “,25,25); } public int square ( int y ) { return y * y ; } the returned value is what replaces the square(x). This value is of type int. x * x

18. Example: Maximum.java (p. 212) public void init () { (stuff left out…) double max = maximum ( num1, num2, num3 ); outputArea.setText ( “Max is “ + max ); } public double maximum ( double x, double y, double z ) { return Math.max ( x, Math.max ( y, z ) ); }

19. Important: Coercion of Arguments Java will automatically promote variables to larger types when necessary; EX: int to double. In Math.pow, the requested types of input are double. However, Java will create a double version of an int variable to use in that method automatically. go to Java class index for Math. pow Math. pow read p. 213-214 carefully

20. Math.random() generates a random double number in the range 0.0 <= x < 1.0 To utilize this function, we use scaling & shifting. scaling: multiplying the function by a number to get the range we want. shifting: adding a number to the function to get the beginning point of the range that we want.

21. Math.random() EX: Math.random () shift it by 1: Math.random() + 1 makes 1 to <2 scale it by 6: Math.random()* 6 makes 0 to <5 to simulate rolling a die, we want 6 possibilities (or a range of 6), from 1 to 6. They have to be integers. (int) ( Math.random() * 6 + 1 );

22. 2 nd Program of the day pg. 220 RollDie.java Modify the program to allow the user to input how many times to roll the die.