| In Chapter 4, we saw how to make logical decisions using conditional expressions and Boolean values. The decisions were based on single factors: if a movie hasn't loaded, don't start playing; if a spaceship has double-shot power, increase the damage its shots inflict; and so on. Not all programming logic is so simple. We'll often want to consider multiple factors in our branching (i.e., decision-making) logic. Suppose, for example, that we are making a personalized Flash site that requires users to log in. If a user logs in as a guest, the content he can see is limited. When a registered user logs into the site, we set a variable that indicates, for the duration of our movie, that the user is allowed to see privileged content: var userStatus = "registered"; To decide whether to allow access to a restricted area, we use a Boolean check like this: if (userStatus = = "registered") { // It's okay, let 'em in... } Suppose we want to demonstrate the site to prospective investors without forcing them to register and without showing them material reserved for registered users. We can invent a new user category, "specialGuest", that allows investors to see more than a guest but not as much as a registered user. When we want to identify someone as a special guest, we set userStatus to "specialGuest". How do we perform a Boolean check now that there are two categories of users? We could do things the brutish, painful way by duplicating portions of our code: if (userStatus = = "registered") { // Execute legal-user code... } if (userStatus = = "specialGuest") { // Execute exact same legal-user code... } Obviously, that's going to turn into a real headache to maintain, because we have to duplicate our code changes in two places. We'd prefer to perform a single Boolean check that says, "If the user is registered or if the user is a special guest, then grant access." We can produce compound logical phrases such as this with Boolean logical operators. Here, the logical OR operator (||) lets us check the status of multiple Boolean operations in a single expression. I've included extra parentheses to make the order of operation more obvious: if ( (userStatus = = "registered") || (userStatus = = "specialGuest") ) { // Execute legal-user code... } Nice, huh? Sometimes programming is so elegant. Such distinctive vertical lines . . . such supple parentheses . . . 5.8.1 Logical Expressions and Data Values Using logical operators to calculate a Boolean result is analogous to using arithmetic operators to calculate a numeric result. For example, the following four operands and three operators are used to calculate a single result: (userStatus = = "registered") || (userStatus = = "specialGuest") If the user is not registered, but is a special guest, this expression reduces to: false || true which in turn reduces to the Boolean result true. Here is an analogous arithmetic operation that reduces to a single number: (1 + 2) * (3 + 4) // Four values (1, 2, 3, 4), which become... 3 * 7 // two values (3, 7), which become... 21 // a single value (21) Remember, a complex expression that reduces to a Boolean can be used anywhere a single Boolean value is required (such as the test expression of a conditional statement). 5.8.2 Logical OR The logical OR operator is most commonly used to initiate some action when at least one of two conditions is met. For example, "If I am hungry or I am thirsty, I'll go to the kitchen." The symbol for logical OR is made using two vertical line characters (||). Typically, the | character is accessible using the Shift key and the Backslash (\) key in the upper right of most Western keyboards, where it may be depicted as a dashed vertical line. Logical OR takes the general form: operand1 || operand2 When both operands are Boolean expressions, logical OR returns true if either operand is true and returns false only if both operands are false. In summary: true || false // true because first operand is true false || true // true because second operand is true true || true // true (however, either operand being true is sufficient) false || false // false because both operands are false This is a simplified case in which both operands are Booleans, but the operands can be any valid expression, including non-Boolean ones. In that case, the return value of a logical OR operation is not necessarily a Boolean (true or false). Technically, the first step in evaluating a logical OR is to convert operand1 to a Boolean; if the result of such a conversion is true, logical OR returns operand1's resolved value. Otherwise, logical OR returns operand2's resolved value. Here's some code to demonstrate: null || "hi there!" // Operand1 does not convert to true, so the // operation returns operand2's value: "hi there!" true || false // Operand1 is true, so the operation returns // operand1's value: true. "hey" || "dude" // Operand1 is a nonempty string, so it converts to // false and the operation returns // operand2's value: "dude". false || 5 + 5 // Operand1 does not convert to true, so the // value of operand2 (namely 10) is returned. In practice, we rarely make use of non-Boolean values returned by a logical OR expression. Instead, we normally use the result in a conditional statement where it is used to make a Boolean decision. Consider Example 5-3. Example 5-3. A logical OR operation as a conditional test expression var x = 10; var y = 15; if (x || y) { trace("One of either x or y is not zero"); } On line 3, we see a logical OR operation (x || y) being used where a Boolean is expected as the test expression of an if statement. Our first step in determining the value of x || y is to convert 10 (the value of the first operand, x) to a Boolean. As Table 3-3 shows, any nonzero finite number converts to the Boolean true. When the first operand converts to true, the logical OR returns the value of the first operand, in this case, 10. So, to the interpreter, our if statement looks like this: if (10) { trace("One of either x or y is not zero"); } But 10 is a number, not a Boolean. So what happens? The if statement converts the return value of the logical OR operation to a Boolean. In this case, 10 is converted to the Boolean value true (again, according to the rules in Table 3-3), and the interpreter sees our code as: if (true) { trace("One of either x or y is not zero"); } And there you have it. The test expression is true, so the trace( ) statement between the curly braces is executed. Note that if the first operand in a logical OR operation resolves to true, it is unnecessary, and therefore inefficient, to evaluate the second operand. Therefore, ActionScript evaluates the second operand only if the first operand resolves to false. This fact is useful in cases in which you don't want to resolve the second operand unless the first operand resolves to false. In the following example, we check if a number is out of range. If the number is too small, there is no need to perform the second test, in which we check whether it is too large. if (xPos < 0 || xPos > 100) { trace ("xPos is not between 0 and 100 inclusive."); } Note that the variable xPos must be included in each comparison. The following code shows a common mistaken attempt to check xPos's value twice: // Oops! Forgot xPos in the comparison with 100 if (xPos < 0 || > 100) { trace ("xPos is not between 0 and 100 inclusive."); } 5.8.3 Logical AND Like the logical OR operator, logical AND is used primarily to execute a block of code conditionally in this case, only when both of two conditions are met. The logical AND operator takes the general form: operand1 && operand2 Both operand1 and operand2 can be any valid expression. In the simplest case, in which both operands are Boolean expressions, logical AND returns false if either operand is false and returns true only if both operands are true. In summary: true && false // false because second operand is false false && true // false because first operand is false true && true // true because both operands are true false && false // false because both operands are false (either is sufficient) Let's see how the logical AND operator is used in two examples. In Example 5-4, we execute a trace( ) statement only when two variables are both greater than 50. Example 5-4. A logical AND operation as a conditional test expression x = 100; y = 51; if (x>50 && y>50) { trace("Both x and y are greater than 50"); } Because the expressions x>50 and y>50 are both true, the trace( ) statement is executed. In Example 5-5, we return to our web site example, in which access was restricted to registered users and special guests. But this time we'll let users in only if the date is not January 1. We combine expressions using the logical OR operator (to check the two allowed userStatus values) and the logical AND operator (to check the date). Note the parentheses that ensure the logical OR statement evaluates the userStatus before performing the logical AND with the date check. We determine the current date via the Date class, whose getMonth( ) method returns 0 to indicate January. Example 5-5. Compound logical expressions userStatus = "registered"; now = new Date( ); // Create a new Date object day = now.getDate( ); // Returns an integer between 1 and 31 month = now.getMonth( ); // Returns an integer between 0 and 11 // Note the indentation style and parentheses...if statements may span // multiple lines for the sake of readability if ( ((userStatus = = "registered") || (userStatus = = "specialGuest")) && (month + day) > 1) { // Let the user in... } The technical behavior of the logical AND operator is quite similar to that of the logical OR operator. First, operand1 is converted to a Boolean. If the result of that conversion is false, the value of operand1 is returned. If the result of that conversion is true, the value of operand2 is returned. If the first operand in a logical AND operation resolves to false, it is unnecessary, and therefore inefficient, to evaluate the second operand. Therefore, ActionScript evaluates the second operand only if the first operand resolves to true. This fact is useful in cases in which you don't want to resolve the second operand unless the first operand resolves to true. In this example, we perform the division only if the divisor is nonzero: if (numItems != 0 && total / numItems > 3) { trace("You've averaged more than 3 dollars per transaction"); } 5.8.4 Logical NOT The logical NOT operator (!) returns the Boolean opposite of its single operand. It takes the general form: !operand where operand can be any legal expression. If operand is true, logical NOT returns false. If operand is false, logical NOT returns true. If operand is not a Boolean, its value is converted to a Boolean for the sake of the operation and its opposite is returned. Like the does-not-equal operator (!=), the logical NOT operator is convenient for testing what something isn't rather than what it is. Recall Example 5-5, in which we wanted to perform an action only if the date was not January 1. At first impression, this attempt might seem correct: month != 0 && day != 1 We find, however, that month != 0 is true anytime the month is not January (so far so good), but day != 1 is actually false on the first day of every month. So the expression month != 0 && day != 1 would exclude our users on the first day of any month, not just January 1. This is hardly what we intended. It's much easier to check if today is January 1: month = = 0 && day = = 1 This expression yields true only on the first day of January. Once we've gotten that far, all we need is the NOT operator to determine when today is not January 1: !(month= =0 && day= =1) Obviously, this code's intent is much clearer than the month + day > 1 test used in Example 5-5. Another typical usage of the NOT operator is to toggle a variable from true to false and vice versa. For example, suppose you have a single button that is used to turn the sound on and off. You might use code like this: soundState = !soundState // Reverse the current sound state if (soundState) { // If sound is turned on, make sure sounds are audible } else { // If the sound is off, set the volume to 0 to mute it } Notice that ! is also used in the inequality operator (!=). As a programming token (i.e., symbol), the ! character usually means not, or opposite. It is unrelated to the ! symbol used to indicate "factorial" in common mathematical notation. | 
