Sort.h
#pragma once
#include<cassert>
#include<iostream>
template<class T>
class Sort
{
public:
Sort(T* a,size_t size);
public:
//插入排序
void InsertSort();
void ShellSort();
//选择排序
void SelectSort();
void HeapSort();
//交换排序
void BubbleSort();
void QuickSort();
//归并排序
void MergeSort();
//基数排序
void LSDSort();
void MSDSort();
//计数排序
void CountSort();
protected:
//建堆
void _CreateHeap()
{
int root = (_size - 2) / 2;
for (int i = root; i >= 0; --i){
AdjustDown(i,_size);
}
}
//向下调整
void AdjustDown(int root, size_t size)
{
int child = root * 2 + 1;
while (child<size){
if (child + 1 < size&&_array[child] > _array[child + 1]){
child++;
}
if (_array[root] > _array[child]){
std::swap(_array[root], _array[child]);
root = child;
child = root * 2 + 1;
}
else{
break;
}
}
}
//快排 递归
size_t _PartQuickSort(size_t l,size_t r)
{
size_t key = l;
if (l == r)
return key;
T tmp = _array[l];
size_t i = l;
size_t j = r;
while (i < j){
while (i < j && _array[j] >= tmp){
j--;
}
if (i <j){
std::swap(_array[i],_array[j]);
key = j;
}
while (i < j && _array[i] <= tmp){
i++;
}
if (i < j){
std::swap(_array[i],_array[j]);
key = i;
}
}
return key;
}
void _QuickSort(size_t left, size_t right)
{
if (left < right){
size_t mid = _PartQuickSort(left, right);
_QuickSort(left,mid-1);
_QuickSort(mid+1,right);
}
}
//归并 递归
void _Merge(size_t first,size_t last,size_t mid)
{ //2^1-1 2^2-1 2^3-1
T one = first;
T two = mid+1;
if (first == last)
two = mid;
T* NewArray = new T[last - first + 1];
size_t k = 0;
while(one<=mid && two<=last){
if (_array[one] < _array[two]){
NewArray[k] = _array[one];
one++;
}
else{
NewArray[k] = _array[two];
two++;
}
k++;
}
while (two<=last){
NewArray[k] = _array[two];
++k;
++two;
}
while (one<=mid){
NewArray[k] = _array[one];
++k;
++one;
}
for (size_t i = first,j = 0; i <= last; ++i,++j){
std::swap(NewArray[j],_array[i]);
}
}
void _MergeSort(size_t first,size_t last,size_t mid)
{
if (first < last){
_MergeSort(first, mid, first + ((mid - first) >> 1));
_MergeSort(mid + 1, last, ( mid + 1 + ((last - mid - 1)>> 1)));
}
_Merge(first, last, mid);
}
size_t _Digit()//元素中最大的位数
{
if (_size==0)
return 0;
int max = _array[0];
for (size_t i = 0; i < _size;++i)
{
if (_array[i]>max)
max = _array[i];
}
size_t i = 1;
if (max%10!=0){
i++;
max /= 10;
}
return i;
}
protected:
T* _array;
size_t _size;
};
template<class T>
Sort<T>::Sort(T* a, size_t size)
:_array(a)
, _size(size)
{}
template<class T>
void Sort<T>::InsertSort()
{
assert(_array);
if (_size == 1)
return;
for (size_t i = 0; i <= _size - 2; ++i){
int end = i;
T tmp = _array[i + 1];
while (end>=0){
if (_array[end]>tmp){
_array[end + 1] = _array[end];
end--;
}
else
break;
}
_array[end + 1] = tmp;
}
}
template<class T>
void Sort<T>::ShellSort()
{
size_t gap = _size/3+1;//gap为增量，随意给
while (gap > 0){
for (size_t i = 0; i < _size - gap; ++i){
int j = i;
while (j>=0){
if (_array[j]>_array[j + gap]){
std::swap(_array[j],_array[j + gap ]);
j -= gap;
}
else
break;
}
}
gap--;
}
}
template<class T>
void Sort<T>::SelectSort()
{
for (size_t i = 0; i < _size - 1; ++i){
size_t j = i + 1;
while (j <= _size-1){
if (_array[i]>_array[j]){
std::swap(_array[i], _array[j]);
}
j++;
}
}
}
template<class T>
void Sort<T>::HeapSort()
{
_CreateHeap();
size_t size = _size;
for (size_t i = _size - 1; i > 0; --i){
std::swap(_array[0], _array[i]);
AdjustDown(0,--size);
}
}
template<class T>
void Sort<T>::BubbleSort()
{
for (size_t i = _size-1; i > 0; --i){
for (size_t j = 0; j < i; ++j){
if (_array[j] > _array[j + 1]){
std::swap(_array[j],_array[j+1]);
}
}
}
}
template<class T>
void Sort<T>::QuickSort()
{
size_t left = 0;
size_t right = _size - 1;
_QuickSort(left,right);
}
template<class T>
void Sort<T>::MergeSort()
{
size_t first = 0;
size_t last = _size-1;
//size_t mid = (first+last) / 2;
size_t mid = first + ((last - first) >> 1);
_MergeSort(first,last,mid);
}
template<class T>
void Sort<T>::LSDSort()//基数排序（从小到大）
{
int Digit = _Digit();
int digit = 1;
int bit = 1;
int* tmp = new int[_size];
while (digit<=Digit){
int Counts[10] = { 0 };
int Start[10] = { 0 };
for (size_t i = 0; i < _size; ++i){
Counts[(_array[i]/bit )% 10]++;
}
for (size_t i = 1; i < 10; ++i){
Start[i] = Start[i - 1] + Counts[i - 1];
}
for (size_t i = 0; i < _size; ++i){
size_t index = (_array[i] / bit ) % 10;
tmp[Start[index]++] = _array[i];
}
std::swap(tmp, _array);
digit++;
bit *= 10;
}
delete[] tmp;
}
template<class T>
void Sort<T>::CountSort()//计数排序
{
int max = _array[0];
int min = _array[0];
for (size_t i = 0; i < _size; ++i){
if (_array[i]>max)
max = _array[i];
if (_array[i] < min)
min = _array[i];
}
int* count = new int[max-min+1];
memset(count, 0, sizeof(int)*(max-min+1));
for (size_t i = 0; i <_size; ++i){
count[_array[i] - min]++;
}
for (size_t i = 0,j=0; i < max - min + 1; ++i){
while (count[i])
{
_array[j++] = i+min;
/*std::cout << i;*/
count[i]--;
}
}
std::cout << std::endl;
}Test.cpp
#include<iostream>
#include"Sort.h"
#include<string>
#include<string.h>
void InsertSortTest()
{
char str[] = "qassdsf";
//std::cout << str << std::endl;
//int a = 0;
//int& b = a;
//char* p = str;
//char*&q = str;
Sort<char> s1(str,strlen(str));
s1.InsertSort();
std::cout << str << std::endl;
}
void ShellSortTest()
{
int a[] = {9,1,5,8,3,7,4,6,2};
Sort<int> s1(a, sizeof(a)/sizeof(a[0]));
/*s1.InsertSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;*/
s1.ShellSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;
}
void SelectSortTest()
{
int a[] = { 9, 1, 5, 8, 3, 7, 4, 6, 2 };
Sort<int> s1(a, sizeof(a) / sizeof(a[0]));
s1.SelectSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;
}
void HeapSortTest()
{
int a[] = { 9, 1, 5, 8, 3, 7, 4, 6, 2 };
Sort<int> s1(a, sizeof(a) / sizeof(a[0]));
s1.HeapSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;
}
void BubbleSortTest()
{
int a[] = { 9, 1, 5, 8, 3, 7, 4, 6, 2 };
Sort<int> s1(a, sizeof(a) / sizeof(a[0]));
s1.BubbleSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;
}
void QuickSortTest()
{
int a[] = { 3, 1, 5, 8, 9, 7, 4, 6, 2 };
Sort<int> s1(a, sizeof(a) / sizeof(a[0]));
s1.QuickSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;
}
void MergeSortTest()
{
int a[] = { 1, 3, 5, 8, 9, 2, 4, 6, 7 };
Sort<int> s1(a, sizeof(a) / sizeof(a[0]));
s1.MergeSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;
}
void LSDSortTest()
{
int a[] = { 73, 22, 93, 43, 5598, 14, 28, 65, 39, 81 };
Sort<int> s1(a, sizeof(a) / sizeof(a[0]));
s1.LSDSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;
}
void CountsSortTest()
{
int a[] = { 73, 22, 93, 43, 55, 14, 28, 65, 39, 81 };
Sort<int> s1(a, sizeof(a) / sizeof(a[0]));
s1.CountSort();
for (size_t i = 0; i < sizeof(a) / sizeof(a[0]); ++i){
std::cout << a[i] << " ";
}
std::cout << std::endl;
}
int main()
{
//InsertSortTest();
//ShellSortTest();
//SelectSortTest();
//HeapSortTest();
//BubbleSortTest();
//QuickSortTest();
//MergeSortTest();
//LSDSortTest();
CountsSortTest();
system("pause");
return 0;
}
