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{{Sorting Algorithm}}
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[[Category:Encyclopedia]]


'''Sorting''' is a way of arranging a group of things in a specified order. Normally, the order is a "natural order." Examples of natural orders are counting order or alphabetical order.
Sort an Array of Strings, from large to small and lexicographic for Strings of equal length


In computing, time and memory usage are of concern when sorting. Some algorithms are very fast, but use a lot of memory, or vice versa. Usually, speed has higher priority.
==[[Perl]]==
'''Interpeter:''' Perl


The speed of an algorithm is often determined by the number of compares and/or swaps required. This is denoted as its "order" and is shown in [[Big O]] notation.
===Numeric sort===
my @sorted = sort {$a<=>$b} (3, 6, 4, 5, 2, 7, 1);


For example, a [[Quicksort]] is usually noted for being of "order n log n" (where n is the size of the group). This shown in Big O notation as "O(''n log(n)'')."
===Alpha-Numeric sort===
my @sorted = sort ('this', 'that', 'and', 'the', 'other');


Sorting algorithms often have different orders depending on characteristics of the group being sorted.
Numeric sort or Alpha-Numeric sort if a numeric sort cannot be done


For example, the Quicksort will perform at O(''n^2'') when the group is already ordered. A sort which "swaps" elements within the group is called an "in-place sort." A sort which moves elements to another group, destroys, or simply ignores the original group is sometimes called an "out-of-place sort" or a "not-in-place sort." An example of an out-of-place sort is the [http://en.wikipedia.org/wiki/Counting_sort counting sort].
# note, this can be a oneliner
my @sorted = sort {
($a =~ /^\-?\d+\.?\d*$/ and $b =~ /^\-?\d+\.?\d*$/) ? $a <=> $b : $a cmp $b
} ('this', 'that', 'and', 'the', 'other', 3, 6, 4, 5, 2, 7, 1);


For complete implementations of various sorting algorithms, see [[:Category:Sorting Algorithms]].
==[[Python]]==


For examples of how to use sorting functionality provided by a language, see:
'''Interpreter:''' Python 2.5
* [[Sort an array of composite structures]]

* [[Sorting an Array of Integers]]
Python's lists have a method for in-place sorting; there's also a built-in <tt>sorted()</tt> method that
* [[Sorting Using a Custom Comparator]]
can sort any iterable.

# create a sample list
words = ['Long', 'words', 'are', 'more', 'interesting', 'than', 'short', 'ones']
# order it and keep the result on another variable
sorted_words = sorted(words, key = lambda word: (-len(word), word))
# sorted_words: ['interesting', 'short', 'words', 'Long', 'more', 'ones', 'than', 'are']

==[[Ruby]]==
#create a test array
ary=['Long','words','are','more','interesting','than','short','ones']
ary.sort_by {|a| [-a.size,a]}
# => ["interesting", "short", "words", "Long", "more", "ones", "than", "are"]

==[[UNIX Shell]]==

words='Long words are more interesting than short ones'
sorted_words="$(
for word in $words # doesn't work with ZSH since it won't do field splitting here
do echo "$word"
done | sort | \
while read word
do echo -n "$word "
done
echo
)"
echo "$sorted_words"

==[[C plus plus|C++]]==
sort an array
#include <algorithm>
int arr[] = { 3, 8, 5, 2, 9 };
int arr_length = sizeof(arr)/sizeof(arr[0]);
std::sort(arr, arr+arr_length);
sort a std-vector
#include <algorithm>
#include <vector>
std::vector<int> vec;
vec.push_back(5);
vec.push_back(4);
vec.push_back(7);
vec.push_back(1);
std::sort(vec.begin(), vec.end());

Sort an array in a custom way with a function.
This also works on std-vectors.
Note: of course the function is_bigger should be outside our function.
#include <algorithm>
bool is_bigger(int a, int b)
{
// note: for equal elements it should return false
return a>b;
}
std::sort(arr, arr+arr_length, is_bigger);

Sort an array in a custom way with a function object.
This has the advantage that you can give a state to the sorting object.
This also works on std-vectors.
Note: the struct compare_modulo should be outside our function.
#include <algorithm>
struct compare_modulo
{
int mod;
compare_modulo(int m): mod(m) {}
bool operator()(int a, int b) const
{
// note: for equal elements it should return false
return (a%mod)<(b%mod);
}
}
std::sort(arr, arr+arr_length, compare_modulo(3));

Sort an array in a stable way. This is different from the other sort in that equal elements stay in the same order as they were before sorting. This is a little slower. This has no use on int's of course, but it may be important with objects. You can also use this with std-vectors, and there is also a version that takes a third argument as the compare object, as above with std::sort.
#include <algorithm>
int arr[] = { 3, 2, 9, 2, 9 };
int arr_length = sizeof(arr)/sizeof(arr[0]);
std::stable_sort(arr, arr+arr_length);

Latest revision as of 08:31, 15 July 2020

Sorting is a way of arranging a group of things in a specified order. Normally, the order is a "natural order." Examples of natural orders are counting order or alphabetical order.

In computing, time and memory usage are of concern when sorting. Some algorithms are very fast, but use a lot of memory, or vice versa. Usually, speed has higher priority.

The speed of an algorithm is often determined by the number of compares and/or swaps required. This is denoted as its "order" and is shown in Big O notation.

For example, a Quicksort is usually noted for being of "order n log n" (where n is the size of the group). This shown in Big O notation as "O(n log(n))."

Sorting algorithms often have different orders depending on characteristics of the group being sorted.

For example, the Quicksort will perform at O(n^2) when the group is already ordered. A sort which "swaps" elements within the group is called an "in-place sort." A sort which moves elements to another group, destroys, or simply ignores the original group is sometimes called an "out-of-place sort" or a "not-in-place sort." An example of an out-of-place sort is the counting sort.

For complete implementations of various sorting algorithms, see Category:Sorting Algorithms.

For examples of how to use sorting functionality provided by a language, see: