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Schwartzian transform : ウィキペディア英語版
Schwartzian transform

The Schwartzian transform is a computer science programming idiom used to improve the efficiency of sorting a list of items. This idiom is appropriate for comparison-based sorting when the ordering is actually based on the ordering of a certain property (the ''key'') of the elements, where computing that property is an intensive operation that should be performed a minimal number of times. The Schwartzian transform is notable in that it does not use named temporary arrays.
The idiom is named after Randal L. Schwartz, who first demonstrated it in Perl shortly after the release of Perl 5 in 1994. The term "Schwartzian transform" applied solely to Perl programming for a number of years, but it has later been adopted by some users of other languages, such as Python, to refer to similar idioms in those languages. However, the algorithm was already in use in other languages (under no specific name) before it was popularized among the Perl community in the form of that particular idiom by Schwartz. The term "Schwartzian transform" indicates a specific idiom, and not the algorithm in general.
For example, to sort the word list ("aaaa","a","aa") according to word length: first build the list ((),(),()), then sort it according to the numeric values getting ((),(),()), then strip off the numbers and you get ("a","aa","aaaa"). That was the algorithm in general, so it does not count as a transform. To make it a true Schwartzian transform, it would be done in Perl like this:

@sorted = map
sort # use numeric comparison
map # calculate the length of the string
@unsorted;

The Schwartzian transform is a version of a Lisp idiom known as ''decorate-sort-undecorate'', which avoids recomputing the sort keys by temporarily associating them with the input items. This approach is similar to memoization, which avoids repeating the calculation of the key corresponding to a specific input value. By comparison, this idiom assures that each input item's key is calculated exactly once, which may still result in repeating some calculations if the input data contains duplicate items.
==The Perl idiom==
The general form of the Schwartzian Transform is:

@sorted = map
sort
map
@unsorted;

Where foo($_) represents an expression that takes $_ (each item of the list in turn) and produces the corresponding value that is to be compared in its stead.
Reading from right to left (or from the bottom to the top):
* the original list @unsorted is fed into a map operation that wraps each item into a (reference to an anonymous 2-element) array consisting of itself and the calculated value that will determine its sort order (list of item becomes a list of (value ));
* then the list of lists produced by map is fed into sort, which sorts it according to the values previously calculated (list of (value ) ⇒ sorted list of (value ));
* finally, another map operation unwraps the values (from the anonymous array) used for the sorting, producing the items of the original list in the sorted order (sorted list of (value ) ⇒ sorted list of item).
The use of anonymous arrays ensures that memory will be reclaimed by the Perl garbage collector immediately after the sorting is done.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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