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So structured programming is great; that is, until you have to exit from a set of deeply nested while loops. That s when pure structured programming leads to pathologically convoluted logic because you have to litter your program with Boolean variables and conditionals to achieve the flow of control you need. This is when being a little impure and allowing the use of unstructured flow control elements (including the infamous goto statement) is useful. Now, PowerShell doesn t actually have a goto statement. Instead, it has break and continue statements and labeled loops. Let s look at some simple examples. Here s a while loop that stops counting at 5.



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Notice in this example that the while loop condition is simply $true. Obviously, this loop would run forever were it not for the break statement. As soon as $i hits 5, the break statement is executed and the loop terminates. Now let s look at the continue statement. In this example, we have a foreach loop that loops over the numbers from 1 to 10.

d i dz i i = 2 = = 24 8 cos 4 z 6 z + 1 4 2 2 8 2 cos mx f ( x) dx sin mx

(1) > foreach ($i in 1..10) { if ($i % 2) { continue } $i }





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If the number is not evenly divisible by two then the continue statement is executed. Where the break statement immediately terminates the loop, the continue statement causes the flow of execution to jump back to the beginning of the loop and move on to the next iteration. The end result is that only even numbers are emitted. The continue statement skips the line that would have printed the odd numbers. So the basic break and continue statements can handle flow control in a single loop. But what about nested loops, which was the real problem we wanted to address This is where labels come in. Before the initial keyword on any of PowerShell s loop statements, you can add a label naming that statement. Then you can use the break and continue keywords to jump to that statement. Here s a simple example:

(718)

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:outer while (1) { while(1) { break outer; } }

In this example, without the break statement, the loop would repeat forever. Instead, the break will take you out of both the inner and outer loops.

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To obtain the desired result, we take the real or imaginary part of Eq (718) depending on whether or not a cos or sin function is found in the original integral A useful tool when evaluating integrals of the form in Eq (718) is called Jordan s lemma Imagine that we choose to be a semicircle located at the origin and in the upper half plane, as illustrated in Fig 75 Jordan s lemma states that lim f ( z ) e mz dz = 0

In PowerShell, the break and continue statements have one rather strange but useful characteristic. They will continue to search up the calling stack until a matching label is found. This search will even cross script and function call boundaries. This means that a break inside a function inside a script can transfer control to an enclosing loop in the calling script. This allows for wide-ranging transfer of control. This will make more sense when we get to the chapter on scripts and functions.

One last thing to know about the break and continue statements the name of the loop to jump to is actually an expression, not a constant value. You could, for example,

113 114

use a variable to name the target of the statement. Let s try this out. First we set up a variable to hold the target name:

(719)

PS (1) > $target = "foo"

Now we ll use it in a loop. In this loop, if the least significant bit in the value stored in $i is 1 (yet another way to test for odd numbers), we skip to the next iteration of the loop named by $target as we see in the following:

Jordan s lemma does not hold in all cases To use Eq (719), if m > 0 then it must be the case that f ( z) 0 as R We can also apply it in the following case: lim f ( z) dz = 0

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