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We could achieve the same thing using a plain function or lambda, but if we need to store a bit more state or perform more complex processing, a functor is often the right solution A functor s ability to capture state by using a class is very versatile and powerful, but sometimes it is more than we really need Another way to capture state is to use a closure A closure is a function or method that captures some external state For example:

If F has the form G<, Yk-1, super U, Yk+1, >, where U involves Tj, then if A has a supertype that is one of:

def make_strip_function(characters): def strip_function(string): return stringstrip(characters) return strip_function strip_punctuation = make_strip_function(",;:! ") strip_punctuation("Land ahoy!") # returns: 'Land ahoy'

C API The C LDAP Application Program Interface (draft-ietf-ldapext-ldap-c-api-04txt)

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As usual, we consider only the case where G has a single type argument A <<F in this case means A << G< super U> As above, it must be the case that A is a subtype of some invocation of G A may now be a subtype of either G<V>, or G< extends V>, or G< super V> We examine these cases in turn The rst variation is described (generalized to multiple arguments) by the sub-bullet directly above We therefore have A = G<V> << G< super U> The rules of subtyping for wildcards imply that V >> U

The make_strip_function() function takes the characters to be stripped as its sole argument and returns a function, strip_function(), that takes a string argument and which strips the characters that were given at the time the closure was created So just as we can create as many instances of the Strip class as we want, each with its own characters to strip, we can create as many strip functions with their own characters as we like The classic use case for functors is to provide key functions for sort routines Here is a generic SortKey functor class (from le SortKeypy):

This document de nes a C language application program interface (API) to LDAP The document replaces the previous de nition of this API, de ned in RFC 1823, updating it to include support for features found in version 3 of the LDAP protocol New extended operation functions were added to support LDAPv3 features such as controls In addition, other LDAP API changes were made to support information hiding and thread safety

We have A = G< super V> << G< super U> The rules of subtyping for lowerbounded wildcards again imply that V >> U

class SortKey: def __init__(self, *attribute_names): selfattribute_names = attribute_names def __call__(self, instance): values = [] for attribute_name in selfattribute_names: valuesappend(getattr(instance, attribute_name)) return values

Here, we have A = G< extends V> << G< super U> In general, we cannot conclude anything in this case However, it is not necessarily an error It may be that U will eventually be inferred to the null type, in which case the call may indeed be valid Therefore, we simply refrain from placing any constraint on U

When a SortKey object is created it keeps a tuple of the attribute names it was initialized with When the object is called it creates a list of the attribute values for the instance it is passed in the order they were speci ed when the SortKey was initialized For example, imagine we have a Person class:

LDAP C API Extensions for Persistent Search (draft-ietf-ldapext-c-api-psearch-00txt)

If F = U[] where the type U involves Tj, then if A is an array type V[], or a type variable with an upper bound that is an array type V[], where V is a reference type, this algorithm is applied recursively to the constraint V = U

class Person: def __init__(self, forename, surname, email): selfforename = forename selfsurname = surname selfemail = email

This document de nes extensions to the LDAP C API to support the LDAP Persistent Search Simple Change Noti cation Mechanism More speci cally, this document

If F has the form G<, Yk-1, U, Yk+1, >, 1 k n where U is type expression that involves Tj, then if A is of the form G<, Xk-1, V, Xk+1,> where V is a type expression, this algorithm is applied recursively to the constraint V = U If F has the form G<, Yk-1, extends U, Yk+1, >, where U involves Tj, then if A is one of: G<, Xk-1, extends V, Xk+1, > Then this algorithm is applied recursively to the constraint V = U Otherwise, no constraint is implied on Tj

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