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Technically, you can use new Function(), but it doesn t do much except create an unde ned function.
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Part I: ActionScript 3.0 Language Basics
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You are most likely to encounter the Function class by name when working with methods that require functions as input or when creating functions by expression. For example, the method addEventListener() takes a function as a parameter. If you re not familiar with events, don t worry about it. I m going to cover them in great detail in Part IV of this book, Event-Driven Programming. For now, let s look at what arguments it s expecting.
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addEventListener(type:String, listener:Function):void
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All told, addEventListener() accepts ve arguments. I ve included only the two required ones for the sake of simplicity. As you can see, the second parameter expected by addEventListener() is a listener function. This is the function that executes when the event is detected. If you want to pass a function into another function as an argument, simply use the passed-in function name but leave off the parentheses (call operator).
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function onClick(event:MouseEvent):void { //Handle click. } addEventListener(MouseEvent.CLICK, onClick);
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Be careful here to omit the parentheses. If you had written
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addEventListener(MouseEvent.CLICK, onClick());
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the onClick() would have executed and returned void, which would be passed as your parameter (and void, of course, is not a function).
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Recursive Functions
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By now I ve covered all the essential parts of a function. But I haven t talked much about how to craft a function. Part of this is because there s really no single formula. Each function should try to do just one thing, and of course its name should re ect that thing. Your functions should do whatever is necessary to carry out their mandate, taking whatever arguments they need to do their job and returning a value when necessary. However, one particular form of function bears mentioning here. Sometimes a function needs to be self-referential, in which the result of the function actually depends on the application of the same function to a smaller part of the input. This somewhat tricky form of function design is known as recursion. Here are some instances in which you would use a recursive function: When stepping through deep data structures like trees or connected graphs When calculating mathematical functions that are fractal or recursive in their own structure
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3: Functions and Methods
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Functions that require back-stepping to previous iterations or that step through a complicated set of possible outcomes, such as a maze-solving algorithm When you can solve a problem by reducing the data down to a trivial state and then applying the results back up to the original data Let s take a look at a sample recursive function the factorial. The factorial, usually written as a positive integer followed by an exclamation point (4!), is a function that calculates the product of all the positive integers less than or equal to an integer. In other words, 3! = 3 * 2 * 1 = 6. You could write this using a recursive function, as follows:
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function factorial(i:int):int { if (i == 0) { return 1; } else { return (i * factorial(i - 1)); } } trace(factorial(3)); //6
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What happens when you run this function The original value 3 is passed in. The value 3 is greater than 0, so you skip over the rst condition to the else statement. This returns i times the factorial of i-1 (2). But before returning the value, the factorial statement kicks off for a second time, using 2 as the parameter. Then the whole process repeats. factorial(2) returns i * factorial(i-1) (or 2 * the factorial of 1). This repeats until all the integers are processed and the recursion ends, nally sending all the returned values to be multiplied together by the function. When creating a recursive function like this, be sure to ask yourself: can I do the same thing with a loop If you can replace recursion with looping without adding too much to the algorithm, you should do so. Looping is generally more ef cient and easier to debug than recursion. In the factorial example, you could use a variable to accumulate the running product, eliminating the need for a recursive call. Take a look at how the recursive call operates for a hint. If there is only one recursive call, you should be able to easily convert the function to a loop structure.
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function factorial(i:int):int { for (var product:int = 1; i > 0; i--) { product *= i; } return product; } trace(factorial(3)); //6
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While working with recursive functions, you might encounter a stack over ow issue. This problem occurs when a recursive function has no mechanism that stops it from calling itself forever. Flash Player has a built-in mechanism that limits how many active function calls it can remember. If your recursive function needs to recurse too many times, you may get an error such as this one.
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