Sort

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#include <iostream>
#include <algorithm>

using namespace std;

// 对arr[l...r]范围的数组进行插入排序
template<typename T>
void insertionSort(T arr[], int l, int r){

    for( int i = l+1 ; i <= r ; i ++ ) {

        T e = arr[i];
        int j;
        for (j = i; j > l && arr[j-1] > e; j--)
            arr[j] = arr[j-1];
        arr[j] = e;
    }

    return;
}

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#include <iostream>
#include <algorithm>
#include "InsertionSort.h"

using namespace std;


template<typename  T>
void __merge(T arr[], int l, int mid, int r){

    T aux[r-l+1];
    for( int i = l ; i <= r; i ++ )
        aux[i-l] = arr[i];

    int i = l, j = mid+1;
    for( int k = l ; k <= r; k ++ ){

        if( i > mid )   { arr[k] = aux[j-l]; j ++;}
        else if( j > r ){ arr[k] = aux[i-l]; i ++;}
        else if( aux[i-l] < aux[j-l] ){ arr[k] = aux[i-l]; i ++;}
        else                          { arr[k] = aux[j-l]; j ++;}
    }
}

template<typename T>
void __mergeSort(T arr[], int l, int r){

    if( r - l <= 15 ){
        insertionSort(arr, l, r);
        return;
    }

    int mid = (l+r)/2;
    __mergeSort(arr, l, mid);
    __mergeSort(arr, mid+1, r);
    if( arr[mid] > arr[mid+1] )
        __merge(arr, l, mid, r);
}

template<typename T>
void mergeSort(T arr[], int n){

    __mergeSort( arr , 0 , n-1 );
}

template <typename T>
void mergeSortBU(T arr[], int n){

    for( int i = 0 ; i < n ; i += 16 )
        insertionSort(arr,i,min(i+15,n-1));

    for( int sz = 16; sz <= n ; sz += sz )
        for( int i = 0 ; i < n - sz ; i += sz+sz )
            if( arr[i+sz-1] > arr[i+sz] )
                __merge(arr, i, i+sz-1, min(i+sz+sz-1,n-1) );
}

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#include <iostream>
#include <ctime>
#include <algorithm>
#include "InsertionSort.h"

using namespace std;


template <typename T>
int _partition(T arr[], int l, int r){
    
    // select a rand index in arr, and swap
    swap( arr[l] , arr[rand()%(r-l+1)+l] );
    T v = arr[l];
    int i = l+1, j = r;
    while( true ){
        while( i <= r && arr[i] < v )
            i ++;

        while( j >= l+1 && arr[j] > v )
            j --;

        if( i > j )
            break;

        swap( arr[i] , arr[j] );
        i ++;
        j --;
    }

    swap( arr[l] , arr[j]);

    return j;
}

template <typename T>
void _quickSort(T arr[], int l, int r){

    if( r - l <= 15 ){
        insertionSort(arr,l,r);
        return;
    }

    int p = _partition(arr, l, r);
    _quickSort(arr, l, p-1 );
    _quickSort(arr, p+1, r);
}

template <typename T>
void quickSort(T arr[], int n){

    srand(time(NULL));
    _quickSort(arr, 0, n-1);
}


template <typename T>
void __quickSort3Ways(T arr[], int l, int r){

    if( r - l <= 15 ){
        insertionSort(arr,l,r);
        return;
    }

    swap( arr[l], arr[rand()%(r-l+1)+l ] );

    T v = arr[l];

    int lt = l;     // arr[l+1...lt] < v
    int gt = r + 1; // arr[gt...r] > v
    int i = l+1;    // arr[lt+1...i) == v
    while( i < gt ){
        if( arr[i] < v ){
            swap( arr[i], arr[lt+1]);
            i ++;
            lt ++;
        }
        else if( arr[i] > v ){
            swap( arr[i], arr[gt-1]);
            gt --;
        }
        else{ // arr[i] == v
            i ++;
        }
    }

    swap( arr[l] , arr[lt] );

    __quickSort3Ways(arr, l, lt-1);
    __quickSort3Ways(arr, gt, r);
}

template <typename T>
void quickSort3Ways(T arr[], int n){

    srand(time(NULL));
    __quickSort3Ways( arr, 0, n-1);
}

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#include "Heap.h"
using namespace std;


template<typename T>
void heapSort1(T arr[], int n){

    MaxHeap<T> maxheap = MaxHeap<T>(n);
    for( int i = 0 ; i < n ; i ++ )
        maxheap.insert(arr[i]); // heapify

    for( int i = n-1 ; i >= 0 ; i-- )
        arr[i] = maxheap.extractMax(); // get root node value

}