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{{NoteTA |G1 = IT }} {{算法信息框 |class=[[排序算法]] |image=[[File:Sorting shaker sort anim.gif]] |caption=使用鸡尾酒排序為一列数字进行排序的过程 |data=[[数组]] |time=<math> O(n^2) </math> |best-time=<math>O(n)</math> |average-time= <math> O(n^2) </math> |space= |optimal=No }} '''鸡尾酒排序'''({{lang-en|Cocktail shaker sort}}),亦為'''定向冒泡排序''','''雞尾酒攪拌排序''','''攪拌排序'''(也可以視作[[選擇排序]]的一種變形),'''漣漪排序''','''來回排序'''或'''快乐小時排序''',是[[冒泡排序]]的一種变形。此演算法与[[冒泡排序]]的不同處在於排序時是以双向在序列中進行排序。 == 伪代码 == 将一个序列由小到大进行排序: '''function''' cocktail_sort(list, list_length){ <span style="color:green">// the first element of list has index 0</span> bottom = 0; top = list_length - 1; swapped = true; '''while'''(swapped == true) <span style="color:green">// if no elements have been swapped, then the list is sorted</span> { swapped = false; '''for'''(i = bottom; i < top; i = i + 1) { '''if'''(list[i] > list[i + 1]) <span style="color:green">// test whether the two elements are in the correct order</span> { swap(list[i], list[i + 1]); <span style="color:green">// let the two elements change places</span> swapped = true; } } <span style="color:green">// decreases top the because the element with the largest value in the unsorted // part of the list is now on the position top </span> top = top - 1; '''for'''(i = top; i > bottom; i = i - 1) { '''if'''(list[i] < list[i - 1]) { swap(list[i], list[i - 1]); swapped = true; } } <span style="color:green">// increases bottom because the element with the smallest value in the unsorted // part of the list is now on the position bottom </span> bottom = bottom + 1; } } == 与冒泡排序不同的地方 == 鸡尾酒排序等於是[[冒泡排序]]的輕微變形。不同的地方在於從低到高然後從高到低,而[[冒泡排序]]則僅從低到高去比較序列裡的每個元素。他可以得到比[[冒泡排序]]稍微好一點的效能,原因是[[冒泡排序]]只從一個方向進行比對(由低到高),每次循環只移動一個項目。 以序列(2,3,4,5,1)為例,鸡尾酒排序只需要訪問一次序列就可以完成排序,但如果使用[[冒泡排序]]則需要四次。但是在亂數序列的狀態下,鸡尾酒排序與冒泡排序的效率与其他众多排序算法相比均比较低。 ==實作範例== ===C语言=== <syntaxhighlight lang="c" line="1"> void cocktail_sort(int arr[], int len) { int i, left = 0, right = len - 1; int temp; while (left < right) { for (i = left; i < right; i++) if (arr[i] > arr[i + 1]) { temp = arr[i]; arr[i] = arr[i + 1]; arr[i + 1] = temp; } right--; for (i = right; i > left; i--) if (arr[i - 1] > arr[i]) { temp = arr[i]; arr[i] = arr[i - 1]; arr[i - 1] = temp; } left++; } } </syntaxhighlight> ===C++=== <syntaxhighlight lang = "cpp"> template<typename T> //整數或浮點數皆可使用,若要使用物件(class)時必須設定大於(>)的運算子功能 void cocktail_sort(T arr[], int len) { int j, left = 0, right = len - 1; while (left < right) { for (j = left; j < right; j++) if (arr[j] > arr[j + 1]) swap(arr[j], arr[j + 1]); right--; for (j = right; j > left; j--) if (arr[j - 1] > arr[j]) swap(arr[j - 1], arr[j]); left++; } } </syntaxhighlight> ===Rust=== <syntaxhighlight lang = "Rust"> fn cocktail_sort<T: PartialOrd>(arr: &mut [T]) { let mut bottom: usize = 0; let mut top = arr.len() - 1; let mut swapped = true; while swapped { swapped = false; for i in bottom..top { if arr[i] > arr[i+1] { arr.swap(i, i+1); swapped = true; } } top -= 1; for j in ((bottom + 1)..=top).rev() { if arr[j] < arr[j - 1] { arr.swap(j, j - 1); swapped = true; } } bottom += 1; } } </syntaxhighlight> ===JAVA=== <syntaxhighlight lang="java" line="1"> public static void cocktail_sort(int[] arr) { int i, left = 0, right = arr.length - 1; int temp; while (left < right) { for (i = left; i < right; i++) if (arr[i] > arr[i + 1]) { temp = arr[i]; arr[i] = arr[i + 1]; arr[i + 1] = temp; } right--; for (i = right; i > left; i--) if (arr[i - 1] > arr[i]) { temp = arr[i]; arr[i] = arr[i - 1]; arr[i - 1] = temp; } left++; } } </syntaxhighlight> ===JavaScript=== <syntaxhighlight lang="javascript" line="1"> Array.prototype.cocktail_sort = function() { var i, left = 0, right = this.length - 1; var temp; while (left < right) { for (i = left; i < right; i++) if (this[i] > this[i + 1]) { temp = this[i]; this[i] = this[i + 1]; this[i + 1] = temp; } right--; for (i = right; i > left; i--) if (this[i - 1] > this[i]) { temp = this[i]; this[i] = this[i - 1]; this[i - 1] = temp; } left++; } }; </syntaxhighlight> ===PHP=== <syntaxhighlight lang="php" line="1"> function swap(&$x, &$y) { $t = $x; $x = $y; $y = $t; } function cocktail_sort(&$arr) {//php的陣列視為基本型別,所以必須用傳參才能修改原陣列 $left = 0; $right = count($arr) - 1; while ($left < $right) { for ($j = $left; $j < $right; $j++) if ($arr[$j] > $arr[$j + 1]) swap($arr[$j], $arr[$j + 1]); $right--; for ($j = $right; $j > $left; $j--) if ($arr[$j - 1] > $arr[$j]) swap($arr[$j - 1], $arr[$j]); $left++; } } </syntaxhighlight> ===Python 2.7=== <syntaxhighlight lang="python3" line="1"> def cocktail_sort(l): l_len = len(l) for i in range(l_len, 0, -1): rem_i_l_len = abs(i - l_len) isNeedContinue = False obverse_count = len(l[rem_i_l_len : i-1]) reverse_count = len(l[rem_i_l_len + 1 : i-1]) for j in range(obverse_count): if l[j] > l[j + 1]: l[j], l[j + 1] = l[j + 1], l[j] isNeedContinue = True # you can print this to observe the whole process # print l for j in range(reverse_count, 0, -1): if l[j] < l[j - 1]: l[j], l[j - 1] = l[j - 1], l[j] isNeedContinue = True # you can print this to observe the whole process # print l if isNeedContinue: continue else: return if __name__ == '__main__': sample_list = [6,5,4,3,2,100] cocktail_sort(sample_list) print(sample_list) </syntaxhighlight> ===Python 3.10=== <syntaxhighlight lang="python3" line="1"> def cocktail_sort(arr: list, bottom: int = None, top: int = None): if not bottom and not top: bottom, top = 0, len(arr) - 1 if bottom == top or bottom > top: return swapped: bool = False for i in range(bottom, top): if arr[i] > arr[i + 1]: arr[i + 1], arr[i] = arr[i], arr[i + 1] swapped = True for i in range(top - 1, bottom, -1): if arr[i] < arr[i - 1]: arr[i - 1], arr[i] = arr[i], arr[i - 1] swapped = True if not swapped: return cocktail_sort(arr, bottom + 1, top - 1) if __name__ == '__main__': sample_list = [3, 7, 5, 1, 6, 4, 8, 2] cocktail_sort(sample_list) print(sample_list) </syntaxhighlight> === Golang === <syntaxhighlight lang="go" line="1"> func cocktailSort(arr []int) { left := 0 right := len(arr) - 1 for left < right { for i := left; i < right; i++ { if arr[i] > arr[i+1] { arr[i], arr[i+1] = arr[i+1], arr[i] } } right-- for i := right; i > left; i-- { if arr[i-1] > arr[i] { arr[i-1], arr[i] = arr[i], arr[i-1] } } left++ } } </syntaxhighlight> ===[[Julia (程式語言)]]=== <syntaxhighlight lang="julia"> # Julia Sample : CocktailSort function CocktailSort(A) isordered, lo, hi = false, 1, length(A) while !isordered && hi > lo isordered = true for i=lo+1:hi if A[i] < A[i-1] A[i-1], A[i] = A[i], A[i-1] isordered = false end end hi -= 1 if isordered || hi ≤ lo break end for i in hi:-1:lo+1 if A[i-1] > A[i] A[i-1], A[i] = A[i], A[i-1] isordered = false end end lo += 1 end return A end # Main Code A = [16,586,1,31,354,43,3] println(A) # Original Array println(CocktailSort(A)) # Cocktail Sort Array </syntaxhighlight> == 複雜度 == 鸡尾酒排序最糟或是平均所花費的次數都是<math>O(n^2)</math>,但如果序列在一開始已經大部分排序過的話,會接近<math>O(n)</math>。 == 外部連結 == *[https://web.archive.org/web/20061008105719/http://www.cs.ubc.ca/~harrison/Java/sorting-demo.html Java source code and an animated demo of cocktail sort (called bi-directional bubble sort) and several other algorithms] *[[:wikisource:Cocktail Sort|Implementations of cocktail sort in several different programming languages]] {{排序算法表}} {{算法}} [[Category:排序算法]] [[Category:带有伪代码示例的条目]] [[Category:带有代码示例的条目]]
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