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May 26, 2016 12:29
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Array sorting algorithms (insertion, heapsort, quicksort, introsort) implementation
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using System; | |
using System.Collections.Generic; | |
using System.Linq; | |
using System.Text; | |
using System.Threading.Tasks; | |
using System.Runtime.CompilerServices; | |
namespace ArrayAlgorithms | |
{ | |
public class Sort | |
{ | |
[MethodImpl(MethodImplOptions.AggressiveInlining)] | |
private static void Swap<T>(T[] array, int key1, int key2) | |
{ | |
T tmp = array[key1]; | |
array[key1] = array[key2]; | |
array[key2] = tmp; | |
//Swap(ref array[key1], ref array[key2]); | |
} | |
private static void HeapSort<T>(T[] array, int left, int right, IComparer<T> comparer) | |
{ | |
int i; | |
//Поднимаем выше элементы с большими значениями | |
//В корне - макс. элемент | |
for (i = left + (right - left) / 2; i >= left; --i) | |
SiftDown(array, i, right, comparer); | |
//Вытаскиваем максимум, помещаем в конец, | |
//сокращаем правую границу на 1 и просеиваем кучу | |
for (i = right; i > left; --i) | |
{ | |
Swap(array, 0, i); | |
SiftDown(array, 0, i - 1, comparer); | |
} | |
} | |
[MethodImpl(MethodImplOptions.AggressiveInlining)] | |
private static void SiftDown<T>(T[] array, int itemIndex, int right, IComparer<T> comparer) | |
{ | |
while (itemIndex * 2 + 1 <= right) | |
{ | |
int maxChild; | |
if (itemIndex * 2 + 1 >= right || comparer.Compare(array[itemIndex * 2 + 1], array[itemIndex * 2 + 2]) > 0)// array[itemIndex * 2 + 1] > array[itemIndex * 2 + 2]) | |
maxChild = itemIndex * 2 + 1; | |
else | |
maxChild = itemIndex * 2 + 2; | |
if (comparer.Compare(array[itemIndex], array[maxChild]) < 0)// array[itemIndex] < array[maxChild]) | |
{ | |
Swap(array, itemIndex, maxChild); | |
itemIndex = maxChild; | |
} | |
else break; | |
} | |
} | |
private static int Partition<T>(T[] input, int left, int right, IComparer<T> comparer) | |
{ | |
//int index = left + (right - left) / 2; | |
//SwapIfGreater(input, Comparer<int>.Default, left, index); | |
//SwapIfGreater(input, Comparer<int>.Default, left, right); | |
//SwapIfGreater(input, Comparer<int>.Default, index, right); | |
//int pivot = input[index]; | |
//Swap(input, index, right); | |
//int i = left, j = right - 1; | |
//for(;i< j;) | |
//{ | |
// do { } | |
// while (i<right-1&&input[i++] < pivot) ; | |
// do | |
// { | |
// } | |
// while (j>=left&&input[j--] >= pivot) ; | |
// if (i < j) | |
// Swap(input, i, j); | |
// else break; | |
//} | |
//if(i<right) | |
// Swap(input, i, right); | |
//return i; | |
var index = left + (right - left) / 2; | |
SwapIfGreater(input, comparer, left, right); | |
SwapIfGreater(input, comparer, left, index); | |
SwapIfGreater(input, comparer, right, index); | |
//В последний элемент блока записываем медиану первого, среднего и последнего | |
var pivot = input[right]; | |
var i = left; | |
for (var j = left; j < right; ++j) | |
{ | |
if (comparer.Compare(input[j], pivot) <= 0)// <= pivot) | |
Swap(input, i++, j); | |
} | |
input[right] = input[i]; | |
input[i] = pivot; | |
return i; | |
} | |
public static int IsSorted(int[] array) | |
{ | |
for (var i = 0; i < array.Length - 1; ++i) | |
if (array[i] > array[i + 1]) | |
return i; | |
return -1; | |
} | |
[MethodImpl(MethodImplOptions.AggressiveInlining)] | |
private static void SwapIfGreater<T>(T[] array, IComparer<T> comparer, int key1, int key2) | |
{ | |
if (comparer.Compare(array[key1], array[key2]) > 0) | |
Swap(array, key1, key2); | |
//Swap(ref array[key1], ref array[key2]); | |
} | |
[MethodImpl(MethodImplOptions.AggressiveInlining)] | |
public static void InsertionSort<T>(T[] array, int l, int r, IComparer<T> comparer) | |
{ | |
for (var i = l + 1; i <= r; ++i) | |
{ | |
int j; | |
var key = array[i]; | |
for (j = i; j > l && comparer.Compare(array[j - 1], key) > 0; --j) | |
array[j] = array[j - 1]; | |
array[j] = key; | |
} | |
} | |
private static void QuickSort<T>(T[] input, int left, int right, IComparer<T> comparer, int depth = 32) | |
{ | |
while (true) | |
{ | |
var length = right - left + 1; | |
if (length <= 16) | |
{ | |
switch (length) | |
{ | |
case 1: | |
break; | |
case 2: | |
SwapIfGreater(input, comparer, left, right); | |
break; | |
case 3: | |
SwapIfGreater(input, comparer, left, right - 1); | |
SwapIfGreater(input, comparer, left, right); | |
SwapIfGreater(input, comparer, right - 1, right); | |
break; | |
default: | |
InsertionSort(input, left, right, comparer); | |
break; | |
} | |
} | |
else if (depth == 0) | |
{ | |
HeapSort(input, left, right, comparer); | |
} | |
else | |
{ | |
--depth; | |
var q = Partition(input, left, right, comparer); | |
QuickSort(input, left, q - 1, comparer, depth); | |
left = q + 1; | |
continue; | |
} | |
break; | |
} | |
} | |
public static void QuickSort<T>(T[] array, IComparer<T> comparer) | |
{ | |
QuickSort(array, 0, array.Length - 1, Comparer<T>.Default); | |
} | |
private static void HeapSort<T>(T[] array, int left, int right) where T :IComparable<T> | |
{ | |
int i; | |
//Поднимаем выше элементы с большими значениями | |
//В корне - макс. элемент | |
for (i = left + (right - left) / 2; i >= left; --i) | |
SiftDown(array, i, right); | |
//Вытаскиваем максимум, помещаем в конец, | |
//сокращаем правую границу на 1 и просеиваем кучу | |
for (i = right; i > left; --i) | |
{ | |
Swap(array, 0, i); | |
SiftDown(array, 0, i - 1); | |
} | |
} | |
//[MethodImpl(MethodImplOptions.AggressiveInlining)] | |
private static void SiftDown<T>(T[] array, int itemIndex, int right) where T :IComparable<T> | |
{ | |
while (itemIndex * 2 + 1 <= right) | |
{ | |
int maxChild; | |
if (itemIndex * 2 + 1 >= right || array[itemIndex * 2 + 1].CompareTo(array[itemIndex * 2 + 2]) > 0)// array[itemIndex * 2 + 1] > array[itemIndex * 2 + 2]) | |
maxChild = itemIndex * 2 + 1; | |
else | |
maxChild = itemIndex * 2 + 2; | |
if (array[itemIndex].CompareTo(array[maxChild]) < 0)// array[itemIndex] < array[maxChild]) | |
{ | |
Swap(array, itemIndex, maxChild); | |
itemIndex = maxChild; | |
} | |
else break; | |
} | |
} | |
private static int Partition<T>(T[] input, int left, int right) where T :IComparable<T> | |
{ | |
//int index = left + (right - left) / 2; | |
//SwapIfGreater(input, Comparer<int>.Default, left, index); | |
//SwapIfGreater(input, Comparer<int>.Default, left, right); | |
//SwapIfGreater(input, Comparer<int>.Default, index, right); | |
//int pivot = input[index]; | |
//Swap(input, index, right); | |
//int i = left, j = right - 1; | |
//for(;i< j;) | |
//{ | |
// do { } | |
// while (i<right-1&&input[i++] < pivot) ; | |
// do | |
// { | |
// } | |
// while (j>=left&&input[j--] >= pivot) ; | |
// if (i < j) | |
// Swap(input, i, j); | |
// else break; | |
//} | |
//if(i<right) | |
// Swap(input, i, right); | |
//return i; | |
var index = left + (right - left) / 2; | |
SwapIfGreater(input, left, right); | |
SwapIfGreater(input, left, index); | |
SwapIfGreater(input, right, index); | |
//В последний элемент блока записываем медиану первого, среднего и последнего | |
var pivot = input[right]; | |
var i = left; | |
for (var j = left; j < right; ++j) | |
{ | |
if (input[j].CompareTo( pivot) <= 0)// <= pivot) | |
Swap(input, i++, j); | |
} | |
input[right] = input[i]; | |
input[i] = pivot; | |
return i; | |
} | |
public static void TestSort(Action<int[]> sort, int size) | |
{ | |
var array = new int[size]; | |
var rnd = new Random(); | |
for (var i = 0; i < size; ++i) | |
array[i] = rnd.Next(); | |
var sw = new System.Diagnostics.Stopwatch(); | |
sw.Start(); | |
sort(array); | |
sw.Stop(); | |
if (IsSorted(array) > 0) | |
Console.WriteLine("Sorting failed!"); | |
Console.WriteLine("Random test " + size + " " + sort.Method + ": " + sw.ElapsedMilliseconds); | |
for (var i = 0; i < size; ++i) | |
array[i] = i + rnd.Next(50) * (rnd.Next(2) > 0 ? -1 : 1); | |
sw.Restart(); | |
sort(array); | |
sw.Stop(); | |
Console.WriteLine("Nearly sorted test " + size + " " + sort.Method + ": " + sw.ElapsedMilliseconds); | |
for (var i = 0; i < size; ++i) | |
array[i] = size - i; | |
sw.Restart(); | |
sort(array); | |
sw.Stop(); | |
Console.WriteLine("Reversed test " + size + " " + sort.Method + ": " + sw.ElapsedMilliseconds); | |
var values = new int[100]; | |
for (int i = 0; i < 100; i++) | |
values[i] = rnd.Next(); | |
for (var i = 0; i < size; ++i) | |
array[i] = values[rnd.Next(100)];//rnd.Next((int)Math.Sqrt(size)/10); | |
sw.Restart(); | |
sort(array); | |
sw.Stop(); | |
Console.WriteLine("Few unique test " + size + " " + sort.Method + ": " + sw.ElapsedMilliseconds); | |
} | |
[MethodImpl(MethodImplOptions.AggressiveInlining)] | |
private static void SwapIfGreater<T>(T[] array, int key1, int key2)where T :IComparable<T> | |
{ | |
if (array[key1].CompareTo(array[key2]) > 0) | |
Swap(array, key1, key2); | |
//Swap(ref array[key1], ref array[key2]); | |
} | |
//[MethodImpl(MethodImplOptions.AggressiveInlining)] | |
public static void InsertionSort<T>(T[] array, int l, int r)where T :IComparable<T> | |
{ | |
for (var i = l + 1; i <= r; ++i) | |
{ | |
int j; | |
var key = array[i]; | |
for (j = i; j > l && array[j - 1].CompareTo(key) > 0; --j) | |
array[j] = array[j - 1]; | |
array[j] = key; | |
} | |
} | |
private static void QuickSort<T>(T[] input, int left, int right, int depth = 32)where T :IComparable<T> | |
{ | |
while (true) | |
{ | |
var length = right - left + 1; | |
if (length <= 16) | |
{ | |
switch (length) | |
{ | |
case 1: | |
break; | |
case 2: | |
SwapIfGreater(input, left, right); | |
break; | |
case 3: | |
SwapIfGreater(input, left, right - 1); | |
SwapIfGreater(input, left, right); | |
SwapIfGreater(input, right - 1, right); | |
break; | |
default: | |
InsertionSort(input, left, right); | |
break; | |
} | |
} | |
else if (depth == 0) | |
{ | |
HeapSort(input, left, right); | |
} | |
else | |
{ | |
--depth; | |
var q = Partition(input, left, right); | |
QuickSort(input, left, q - 1, depth); | |
left = q + 1; | |
continue; | |
} | |
break; | |
} | |
} | |
public static void QuickSort<T>(T[] array) where T :IComparable<T> | |
{ | |
//if(typeof(T).IsPrimitive) | |
//{ | |
// //NativeMethods.CppSort.CppQuickSort(array, 0, array.Length - 1); | |
//} | |
//else | |
QuickSort(array, 0, array.Length - 1);// Comparer<T>.Default); | |
} | |
} | |
} |
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