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One common use case for local functions is when we want to use recursion In these cases, the enclosing function is called, sets things up, and then makes the rst call to a local recursive function Recursive functions (or methods) are ones that call themselves Structurally, all directly recursive functions can be seen as having two cases: the base case and the recursive case The base case is used to stop the recursion Recursive functions can be computationally expensive because for every recursive call another stack frame is used; however, some algorithms are most naturally expressed using recursion Most Python implementations have a xed limit to how many recursive calls can be made The limit is returned by sysgetrecursionlimit() and can be changed by syssetrecursionlimit(), although increasing the limit is most often a sign that the algorithm being used is inappropriate or that the implementation has a bug The classic example of a recursive function is one that is used to calculate factorials For example, factorial(5) will calculate 5! and return 120, that is, 1 2 3 4 5:

def factorial(x): if x <= 1: return 1 return x * factorial(x - 1)

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This is not an ef cient solution, but it does show the two fundamental features of recursive functions If the given number, x, is 1 or less, 1 is returned and no recursion occurs this is the base case But if x is greater than 1 the value returned is x * factorial(x - 1), and this is the recursive case because here the factorial function calls itself The function is guaranteed to terminate because if the initial x is less than or equal to 1 the base case will be used and the function will nish immediately, and if x is greater than 1, each recursive call will be on a number one less than before and so will eventually be 1 To see both local functions and recursive functions in a meaningful context we will study the indented_list_sort() function from module le IndentedListpy This function takes a list of strings that use indentation to create a hierarchy, and a string that holds one level of indent, and returns a list with the same strings but where all the strings are sorted in case-insensitive alphabetical order, with indented items sorted under their parent item, recursively, as the before and after lists shown in Figure 81 illustrate Given the before list, the after list is produced by this call: after = IndentedListindented_list_sort(before) The default indent value is four spaces, the same as the indent used in the before list, so we did not need to set it explicitly

In this chapter, we cover the common techniques for hosting services For IIS, the technique is pretty simple and is demonstrated in 1, Basics Speci cally, we ll cover the details of how the new Windows Process Activation Service (WAS) process relates to the IIS infrastructure We ll also cover self-hosting services in NT Services and client-side applications

before = ["Nonmetals", " Hydrogen", " Carbon", " Nitrogen", " Oxygen", "Inner Transitionals", " Lanthanides", " Cerium", " Europium", " Actinides", " Uranium", " Curium", " Plutonium", "Alkali Metals", " Lithium", " Sodium", " Potassium"]

after = ["Alkali Metals", " Lithium", " Potassium", " Sodium", "Inner Transitionals", " Actinides", " Curium", " Plutonium", " Uranium", " Lanthanides", " Cerium", " Europium", "Nonmetals", " Carbon", " Hydrogen", " Nitrogen", " Oxygen"]

[ Team LiB ]

We will begin by looking at the indented_list_sort() function as a whole, and then we will look at its two local functions

Windows Process Activation Services (WAS) is the hosting infrastructure built into Vista and Windows Server 2008 Features previously available only in IIS, such as process activation, recycling, and identity management, have been moved into WAS and made available to protocols other than HTTP WAS enables you to host services in a robust environment that doesn t rely on the HTTP protocol The HTTP protocol is widely deployed and understood, but there are cases when it s not the best option For example, imagine a service that receives one-way messages for the purpose of tracking and analysis, and the messages are sent by clients that

def indented_list_sort(indented_list, indent=" KEY, ITEM, CHILDREN = range(3) def add_entry(level, key, item, children): def update_indented_list(entry): entries = [] for item in indented_list: level = 0 i = 0 while itemstartswith(indent, i): i += len(indent) level += 1 key = itemstrip()lower() add_entry(level, key, item, entries) indented_list = [] for entry in sorted(entries): update_indented_list(entry) return indented_list "):

>>> 3 - 7 -4 >>> 4 * 8 32

[ Team LiB ]

Notice that - can be used both as a unary operator (negation) and as a binary operator (subtraction), as is common in most programming languages Where Python differs from the crowd is when it comes to division:

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