So far as beginners we’ve only written short programs that have a single class and a single method (main). Now I’ll show you how to organize longer programs into multiple methods and classes and also present the Math class, which provides methods for common mathematical operations.
Math Methods
In mathematics, you have probably seen functions like sin and log, and you have
learned to evaluate expressions like sin(π/2) and log(1/x) .
First we evaluate the argument of the innermost function, then evaluate the function itself, and so on.
The Java library includes a Math class that provides common mathematical operations. Math is in the java.lang package, so you don’t have to import it. You can use, or invoke, Math methods like this:
The first line sets root to the square root of 17. The third line finds the sine of 1.5
(the value of angle).
Arguments of the trigonometric functions—sin, cos, and tan—should be in radians.
Another useful method is round, which rounds a floating-point value(double) to the nearest integer and returns a long. A long is like an int, but bigger.
The result is 63 (rounded up from 62.8319).
Take a minute to read the documentation for these and other methods in the Math class.
Composition Revisited
Just as with mathematical functions, Java methods can be composed. That means you can use one expression as part of another. For example, you can use any expression as an argument to a method:
This statement divides Math.PI by two, adds the result to angle, and computes the cosine of the sum.
You can also take the result of one method and pass it as an argument to another:
In Java, the log method always uses base e. So this statement finds the log base e of 10, and then raises e to that power. The result gets assigned to x.
Some math methods take more than one argument. For example, Math.pow takes two arguments and raises the first to the power of the second. This line of code assigns the value 1024.0 to the variable x:
When using Math methods, it is a common error to forget the Math. For example, if you try to invoke pow(2.0, 10.0), you get an error message like:
Adding New Methods
You have probably guessed by now that you can define more than one method in a class. Here’s an example:
The name of the class is NewLine. By Java's convention, class names begin with a capital letter. NewLine contains two methods, newLine() and main().
invoked in main. And because newLine is in the same class as main, we don’t have to specify the class name.
The output of this program is:
Or we could write a new method that displays three blank lines:
Beginners often wonder why it is worth the trouble to create new methods. There are many reasons, but this example demonstrates a few of them:
Flow of Execution
Pulling together the code from the previous section, the complete program looks like this:
When you look at a class definition that contains several methods, it is tempting to read it from top to bottom. But that is likely to be confusing, because that is not the flow of execution of the program.
In the middle of main(),
Parameters and Arguments
Some of the methods we have used require arguments, which are the values you provide when you invoke the method. For example,
The parameter list indicates what arguments are required. The following class shows an example:
The value you provide as an argument must have the same(or a compatible) type as the parameter. For example, if you try:
You will get an error message like this:
For example, Math.sqrt() requires a double, but if you invoke Math.sqrt(25), the integer value 25 is automatically converted to the floating-point value 25.0. But in the case of printTwice(), Java can’t (or won’t) convert the integer 17 to a String.
Parameters(they're also considered as local variables) and other variables only exist inside their own methods. Inside main(), there is no such thing as s. If you try to use it there, you’ll get a compiler error. Similarly, inside printTwice() there is no such thing as argument. That variable belongs to main().
Because variables only exist inside the methods where they are defined, they are often called local variables.
Multiple Parameters
Here is an example of a method that takes two parameters:
In the parameter list, it may be tempting to write:
But that format (without the second int) is only legal for variable declarations. In
parameter lists, you need to specify the type of each variable separately.
To invoke this method, we have to provide two integers as arguments:
A common error is to declare the types of the arguments, like this:
That’s a syntax error; the compiler sees int hour and int minute as variable declarations, not expressions.
You wouldn’t declare the types of the arguments if they were simply integers:
Stack Diagrams
Pulling together the code fragments from the previous section, here is a complete class definition:
printTime() has two parameters, named hour and minute. And main() has two variables, also named hour and minute.
For example, you could invoke printTime() like this:
Before the method is invoked, Java evaluates the arguments; in this example, the
results are 12 and 0. Then it assigns those values to the parameters. Inside printTime(), the value of hour is 12, not 11, and the value of minute is 0, not 59. Furthermore, if printTime() modifies one of its parameters, that change has no effect on the variables in main.
One way to keep track of everything is to draw a stack diagram, which is a state diagram that shows method invocations. For each method there is a box called a frame that contains the method’s parameters and variables. The name of the method appears outside the frame; the variables and parameters appear inside.
As with state diagrams, stack diagrams show variables and methods at a particular point in time. Figure below is a stack diagram at the beginning of the printTime() method.
Writing Documentation
As you benefit from reading good documentation, you should “pay it forward” by
writing good documentation.
Javadoc scans your source files looking for specially-formatted documentation comments, also known as “Javadoc comments”. They begin with /** (two stars) and end with */ (one star). Anything in between is considered part of the documentation.
Here’s a class definition with two Javadoc comments, one for the class and one for the main method:
The class comment explains the purpose of the class. The method comment explains what the method does.
Notice that this example also includes an inline comment, beginning with //. In general, inline comments are short phrases that help explain complex parts of a program.
They are intended for other programmers reading and maintaining the source code.
In contrast, Javadoc comments are longer, usually complete sentences. They explain what each method does, but they omit details about how the method works. And they are intended for people who will use the methods without looking at the source code.
Appropriate comments and documentation are essential for making source code
readable.
Exercises
Exercise 4-1.
The point of this exercise is to practice reading code and to make sure that you
understand the flow of execution through a program with multiple methods.
Exercise 4-2.
The point of this exercise is to make sure you understand how to write and invoke methods that take parameters.
Exercise 4-3.
The purpose of this exercise is to take code from a previous exercise and encapsulate it in a method that takes parameters. You should start with a working solution to Exercise 2-2.
Math Methods
In mathematics, you have probably seen functions like sin and log, and you have
learned to evaluate expressions like sin(π/2) and log(1/x) .
- First, you evaluate the expression in parentheses, which is called the argument of the function.
- Then you can evaluate the function itself, maybe by punching it into a calculator.
First we evaluate the argument of the innermost function, then evaluate the function itself, and so on.
The Java library includes a Math class that provides common mathematical operations. Math is in the java.lang package, so you don’t have to import it. You can use, or invoke, Math methods like this:
double root = Math.sqrt(17.0); double angle = 1.5; double height = Math.sin(angle);
The first line sets root to the square root of 17. The third line finds the sine of 1.5
(the value of angle).
Arguments of the trigonometric functions—sin, cos, and tan—should be in radians.
To convert from degrees to radians, you can divide by 180 and multiply by π.Conveniently, the Math class provides a constant double named PI that contains an approximation of π:
double degrees = 90; double angle = degrees / 180.0 * Math.PI;
- Notice that PI is in capital letters (as all constants per convention in Java). Java(is case sensitive) does not recognize Pi, pi, or pie.
- Also, PI is the name of a variable(constant), not a method, so it doesn’t have parentheses.
- The same is true for the constant Math.E, which approximates Euler’s number.
double radians = Math.toRadians(180.0); double degrees = Math.toDegrees(Math.PI);
Another useful method is round, which rounds a floating-point value(double) to the nearest integer and returns a long. A long is like an int, but bigger.
- More specifically, an int uses 32 bits(4 bytes); the largest value it can hold is 2^31 − 1, which is about 2 billion.
- A long uses 64 bits(8 bytes), so the largest value is 2^63 − 1, which is about 9 quintillion.
long x = Math.round(Math.PI * 20.0);
The result is 63 (rounded up from 62.8319).
Take a minute to read the documentation for these and other methods in the Math class.
The easiest way to find documentation for Java classes is to do a web search for “Java” and the name of the class.
Composition Revisited
Just as with mathematical functions, Java methods can be composed. That means you can use one expression as part of another. For example, you can use any expression as an argument to a method:
double x = Math.cos(angle + Math.PI / 2.0);
This statement divides Math.PI by two, adds the result to angle, and computes the cosine of the sum.
You can also take the result of one method and pass it as an argument to another:
double x = Math.exp(Math.log(10.0));
In Java, the log method always uses base e. So this statement finds the log base e of 10, and then raises e to that power. The result gets assigned to x.
Some math methods take more than one argument. For example, Math.pow takes two arguments and raises the first to the power of the second. This line of code assigns the value 1024.0 to the variable x:
double x = Math.pow(2.0, 10.0);
When using Math methods, it is a common error to forget the Math. For example, if you try to invoke pow(2.0, 10.0), you get an error message like:
File: Test.java [line: 5]The message “cannot find symbol” is confusing, but the last line provides a useful hint. The compiler is looking for pow (definition) in the same class where it is used, which is Test. If you don’t specify a class name, the compiler looks in the current class.
Error: cannot find symbol
symbol: method pow(double,double)
location: class Test
Adding New Methods
You have probably guessed by now that you can define more than one method in a class. Here’s an example:
public class NewLine { public static void newLine() { System.out.println(); } public static void main(String[] args) { System.out.println("First line."); newLine(); System.out.println("Second line."); } }
The name of the class is NewLine. By Java's convention, class names begin with a capital letter. NewLine contains two methods, newLine() and main().
Remember that Java is case-sensitive, so NewLine and newLine are not the same.Method names should begin with a lowercase letter and use “camel case”, which is a cute name for jammingWordsTogetherLikeThis. You can use any name you want for methods, except main or any of the Java keywords.
- newLine and main are public, which means they can be invoked from other classes.
- They are both static, but we can’t explain what that means yet.
- And they are both void, which means that they don’t yield a result (unlike the Math methods, for example).
- The parentheses after the method name contain a list of variables, called parameters,where the method stores its arguments. main has a single parameter, called args, which has type String[]. That means that whoever invokes main must provide an array of strings
invoked in main. And because newLine is in the same class as main, we don’t have to specify the class name.
The output of this program is:
First line.
Second line.Notice the extra space between the lines. If we wanted more space between them, we could invoke the same method repeatedly:
public static void main(String[] args) { System.out.println("First line."); newLine(); newLine(); newLine(); System.out.println("Second line."); }
Or we could write a new method that displays three blank lines:
public static void threeLine() { newLine(); newLine(); newLine(); }
public static void main(String[] args) { System.out.println("First line."); threeLine(); System.out.println("Second line."); }
- You can invoke the same method more than once, and
- you can have one method invoke another.
Beginners often wonder why it is worth the trouble to create new methods. There are many reasons, but this example demonstrates a few of them:
- Creating a new method gives you an opportunity to give a name to a group of statements, which makes code easier to read and understand.
- Introducing new methods can make a program smaller by eliminating repetitive code. For example, to display nine consecutive new lines, you could invoke threeLine three times.
- A common problem solving technique is to break tasks down into sub-problems. Methods allow you to focus on each sub-problem in isolation, and then compose them into a complete solution.
Flow of Execution
Pulling together the code from the previous section, the complete program looks like this:
public class NewLine { public static void newLine() { System.out.println(); } public static void threeLine() { newLine(); newLine(); newLine(); } public static void main(String[] args) { System.out.println("First line."); threeLine(); System.out.println("Second line."); } }
When you look at a class definition that contains several methods, it is tempting to read it from top to bottom. But that is likely to be confusing, because that is not the flow of execution of the program.
Execution always begins at the first statement of main(), regardless of where it is in the source file.Statements are executed
- one at a time, in order, until you reach a method invocation, which you can think of as a detour.
- Instead of going to the next main()'s statement, you jump to the first line of the invoked method,
- execute all the statements there, and then come back in main() and pick up exactly where you left off.
In the middle of main(),
- we go off to execute the statements in threeLine. While we are executing threeLine,
- we go off to execute newLine().
- Then newLine() invokes println(), which causes yet another detour. Fortunately, Java is good at keeping track of which methods are running. So when println() completes,
- it picks up where it left off in newLine(); when newLine completes,
- it goes back to threeLine, and when threeLine completes,
- it gets back to main().
Parameters and Arguments
Some of the methods we have used require arguments, which are the values you provide when you invoke the method. For example,
- to find the sine of a number, you have to provide the number, so the methode sin takes a double as an argument.
- To display a message, you have to provide the message, so the methode println takes a String.
The parameter list indicates what arguments are required. The following class shows an example:
public class PrintTwice { public static void printTwice(String s) { System.out.println(s); System.out.println(s); } public static void main(String[] args) { printTwice("Don't make me say this twice!"); } }
- printTwice() has a parameter named s with type String.
- When we invoke(call) printTwice(), we have to provide an argument with type String.
- Before the method executes, the argument gets assigned to the parameter. In this example, the argument "Don't make me say this twice!" gets assigned to the parameter s. This process is called parameter passing because the value gets passed from outside the method to the inside.
String argument = "Never say never."; printTwice(argument);
The value you provide as an argument must have the same(or a compatible) type as the parameter. For example, if you try:
printTwice(17); // syntax error
You will get an error message like this:
File: Test.java [line: 10]Sometimes Java can convert an argument from one type to another automatically(that's called implicit conversion).
Error: method printTwice in class Test cannot be applied
to given types;
required: java.lang.String
found: int
reason: actual argument int cannot be converted to
java.lang.String by method invocation conversion
For example, Math.sqrt() requires a double, but if you invoke Math.sqrt(25), the integer value 25 is automatically converted to the floating-point value 25.0. But in the case of printTwice(), Java can’t (or won’t) convert the integer 17 to a String.
Parameters(they're also considered as local variables) and other variables only exist inside their own methods. Inside main(), there is no such thing as s. If you try to use it there, you’ll get a compiler error. Similarly, inside printTwice() there is no such thing as argument. That variable belongs to main().
Because variables only exist inside the methods where they are defined, they are often called local variables.
Multiple Parameters
Here is an example of a method that takes two parameters:
public static void printTime(int hour, int minute) { System.out.print(hour); System.out.print(":"); System.out.println(minute); }
In the parameter list, it may be tempting to write:
public static void printTime(int hour, minute) { ...
But that format (without the second int) is only legal for variable declarations. In
parameter lists, you need to specify the type of each variable separately.
To invoke this method, we have to provide two integers as arguments:
int hour = 11; int minute = 59; printTime(hour, minute);
A common error is to declare the types of the arguments, like this:
int hour = 11; int minute = 59; printTime(int hour, int minute);
That’s a syntax error; the compiler sees int hour and int minute as variable declarations, not expressions.
You wouldn’t declare the types of the arguments if they were simply integers:
printTime(int 11, int 59); // syntax error
Stack Diagrams
Pulling together the code fragments from the previous section, here is a complete class definition:
public class PrintTime { public static void printTime(int hour, int minute) { System.out.print(hour); System.out.print(":"); System.out.println(minute); } public static void main(String[] args) { int hour = 11; int minute = 59; printTime(hour, minute); } }
printTime() has two parameters, named hour and minute. And main() has two variables, also named hour and minute.
Although they have the same names, these variables are not the same.hour in printTime() and hour in main() refer to different storage locations, and they can have different values.
For example, you could invoke printTime() like this:
int hour = 11; int minute = 59; printTime(hour + 1, 0);
Before the method is invoked, Java evaluates the arguments; in this example, the
results are 12 and 0. Then it assigns those values to the parameters. Inside printTime(), the value of hour is 12, not 11, and the value of minute is 0, not 59. Furthermore, if printTime() modifies one of its parameters, that change has no effect on the variables in main.
One way to keep track of everything is to draw a stack diagram, which is a state diagram that shows method invocations. For each method there is a box called a frame that contains the method’s parameters and variables. The name of the method appears outside the frame; the variables and parameters appear inside.
As with state diagrams, stack diagrams show variables and methods at a particular point in time. Figure below is a stack diagram at the beginning of the printTime() method.
Writing Documentation
As you benefit from reading good documentation, you should “pay it forward” by
writing good documentation.
A nice feature of the Java language is the ability to embed documentation in your source code. That way, you can write it as you go, and as things change, it is easier to keep the documentation consistent with the code.If you include documentation in your source code, you can extract it automatically, and generate well-formatted HTML, using a tool called Javadoc. This tool is included in standard Java development environments, and it is widely used. In fact, the online documentation of the Java libraries is generated by Javadoc.
Javadoc scans your source files looking for specially-formatted documentation comments, also known as “Javadoc comments”. They begin with /** (two stars) and end with */ (one star). Anything in between is considered part of the documentation.
Here’s a class definition with two Javadoc comments, one for the class and one for the main method:
/** * Example program that demonstrates print vs println. */ public class Goodbye { /** * Prints a greeting. */ public static void main(String[] args) { System.out.print("Goodbye, "); // note the space System.out.println("cruel world"); } }
The class comment explains the purpose of the class. The method comment explains what the method does.
Notice that this example also includes an inline comment, beginning with //. In general, inline comments are short phrases that help explain complex parts of a program.
They are intended for other programmers reading and maintaining the source code.
In contrast, Javadoc comments are longer, usually complete sentences. They explain what each method does, but they omit details about how the method works. And they are intended for people who will use the methods without looking at the source code.
Appropriate comments and documentation are essential for making source code
readable.
And remember that the person most likely to read your code in the future, and appreciate good documentation, is you.
Exercises
Exercise 4-1.
The point of this exercise is to practice reading code and to make sure that you
understand the flow of execution through a program with multiple methods.
- What is the output of the following program? Be precise about where there are spaces and where there are newlines.Hint: Start by describing in words what ping and baffle do when they are invoked.
- Draw a stack diagram that shows the state of the program the first time ping is invoked.
- What happens if you invoke baffle(); at the end of the ping method? (We will see why in the next post.)
public static void zoop() { baffle(); System.out.print("You wugga "); baffle(); } public static void main(String[] args) { System.out.print("No, I "); zoop(); System.out.print("I "); baffle(); }
public static void baffle() { System.out.print("wug"); ping(); } public static void ping() { System.out.println("."); }
Exercise 4-2.
The point of this exercise is to make sure you understand how to write and invoke methods that take parameters.
- Write the first line of a method named zool that takes three parameters: an int and two Strings.
- Write a line of code that calls zool, passing as arguments the value 11, the name of your first pet, and the name of the street you grew up on.
Exercise 4-3.
The purpose of this exercise is to take code from a previous exercise and encapsulate it in a method that takes parameters. You should start with a working solution to Exercise 2-2.
- Write a method called printAmerican that takes the day, date, month and year as parameters and that displays them in American format.
- Test your method by invoking it from main and passing appropriate arguments. The output should look something like this (except that the date might be different): Saturday, July 22, 2015
- Once you have debugged printAmerican, write another method called printEuropean that displays the date in European format.
Resources
- Think Java: How to Think Like a Computer Scientist by Allen B. Downey
- Tools (code formatter, code syntax color)
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