#define _CRT_SECURE_NO_WARNINGS 1
#include"Sort.h"
#include "stack.h"
void Print(int* pa, int n)
{
for (int i = 0; i < n; i++)
{
printf("%d ", pa[i]);
}
printf("\n");
}
void Swap(int* x, int* y)
{
int tmp = *x;
*x = *y;
*y = tmp;
}
//插入排序
void InsertSort(int* pa, int n)
{
for (int i = 1; i < n; i++)
{
int end = i - 1;
int tmp = pa[i];
while (end >= 0)
{
if (tmp < pa[end])
{
pa[end + 1] = pa[end];
}
else
{
break;
}
end--;
}
pa[end + 1] = tmp;
}
}
//希尔排序
void ShellSort(int* pa, int n)
{
for (int gap = n / 2; gap > 0; gap /= 2)
{
for (int i = 0; i < n - gap; i++)
{
int end = i;
int tmp = pa[i + gap];
while (end >= 0)
{
if (tmp < pa[end])
{
pa[end + gap] = pa[end];
}
else
{
break;
}
end -= gap;
}
pa[end + gap] = tmp;
}
}
}
//选择排序
void SelectSort(int* pa, int n)
{
//第一种方法
/*for (int i = 0; i < n - 1; i++)
{
int min = i;
int tmp = pa[i];
for (int j = i + 1; j < n; j++)
{
if (pa[j] < tmp)
{
tmp = pa[j];
min = j;
}
}
Swap(&pa[i], &pa[min]);
}*/
//优化之后的第二种方法
int lefti = 0, righti = n - 1;
while (lefti < righti)
{
int mini = lefti, maxi = lefti;
for (int i = lefti + 1; i <= righti; i++)
{
if (pa[i] < pa[mini])
{
mini = i;
}
if (pa[i] > pa[maxi])
{
maxi = i;
}
}
Swap(&pa[mini], &pa[lefti]);
if (lefti == maxi)
{
maxi = mini;
}
Swap(&pa[maxi], &pa[righti]);
lefti++;
righti--;
}
}
//向下调整 - 建大堆
void Adjusedown(int* pa, int size, int parent)
{
int child = parent * 2 + 1;
while (child < size)
{
if (child + 1 < size && pa[child + 1] > pa[child])
{
child++;
}
if (pa[child] > pa[parent])
{
Swap(&pa[child], &pa[parent]);
parent = child;
child = parent * 2 + 1;
}
else
{
break;
}
}
}
//堆排序
void HeapSort(int* pa, int n)
{
//建大堆
for (int i = (n - 1 - 1) / 2; i >= 0; i--)
{
Adjusedown(pa, n, i);
}
int end = n - 1;
while (end > 0)
{
Swap(&pa[0], &pa[end]);
Adjusedown(pa, end, 0);//调整堆
end--;
}
}
//冒泡排序
void BubbleSort(int* pa, int n)
{
for (int i = 0; i < n - 1; i++)
{
int falg = 0;
for (int j = 1; j < n - i; j++)
{
if (pa[j - 1] > pa[j])
{
falg = 1;
Swap(&pa[j - 1], &pa[j]);
}
}
if (falg == 0)
{
break;
}
}
}
//三数取中: 三个数比较大小取中间值
int GetMidNumi(int* pa, int lefti, int righti)
{
int midi = (lefti + righti) / 2;
if (pa[lefti] < pa[midi])
{
if (pa[midi] < pa[righti])
{
return midi;
}
else if(pa[righti] > pa[lefti])
{
return lefti;
}
else
{
return righti;
}
}
else
{
if (pa[midi] > pa[righti])
{
return midi;
}
else if(pa[righti] > pa[lefti])
{
return lefti;
}
else
{
return righti;
}
}
}
//快速排序
//Hoare版本
void HoareQuickSort(int* pa, int lefti, int righti)
{
if (lefti >= righti)
return;
int begin = lefti, end = righti;
//随机选keyi
/*int randi = lefti + (rand() % (righti - lefti));
if (randi != lefti)
Swap(&pa[lefti], &pa[randi]);*/
//三数取中
int midi = GetMidNumi(pa, lefti, righti);
if (midi != lefti)
Swap(&pa[midi], &pa[lefti]);
int keyi = lefti;
while (lefti < righti)
{
//找小
while (lefti < righti && pa[righti] >= pa[keyi])
righti--;
//找大
while (lefti < righti && pa[lefti] <= pa[keyi])
lefti++;
Swap(&pa[lefti], &pa[righti]);
}
Swap(&pa[keyi], &pa[lefti]);
//小区间优化
if (end - begin + 1 > 10)
{
HoareQuickSort(pa, begin, lefti - 1);
HoareQuickSort(pa, righti + 1, end);
}
else
{
InsertSort(pa + begin, end - begin + 1);
}
}
//挖坑法
void HoleQuickSort(int* pa, int lefti, int righti)
{
if (lefti >= righti)
return;
int begin = lefti, end = righti;
//三数取中
int midi = GetMidNumi(pa, lefti, righti);
if (midi != lefti)
Swap(&pa[midi], &pa[lefti]);
int key = pa[lefti];
while (lefti < righti)
{
//找小
while (lefti < righti && pa[righti] >= key)
righti--;
pa[lefti] = pa[righti];
//找大
while (lefti < righti && pa[lefti] <= key)
lefti++;
pa[righti] = pa[lefti];
}
pa[lefti] = key;
//小区间优化
if (end - begin + 1 > 10)
{
HoareQuickSort(pa, begin, lefti - 1);
HoareQuickSort(pa, righti + 1, end);
}
else
{
InsertSort(pa + begin, end - begin + 1);
}
}
//前后指针法
void pointerQuickSort(int* pa, int lefti, int righti)
{
if (lefti >= righti)
return;
//三数取中
int midi = GetMidNumi(pa, lefti, righti);
if (midi != lefti)
Swap(&pa[midi], &pa[lefti]);
int keyi = lefti;
int prev = lefti;
int cur = lefti + 1;
while (cur <= righti)
{
if (pa[cur] < pa[keyi] && ++prev != cur)
{
Swap(&pa[cur], &pa[prev]);
}
cur++;
}
Swap(&pa[prev], &pa[keyi]);
keyi = prev;
//小区间优化
if (righti - lefti + 1 > 10)
{
pointerQuickSort(pa, lefti, keyi - 1);
pointerQuickSort(pa, keyi + 1, righti);
}
else
{
InsertSort(pa + lefti, righti - lefti + 1);
}
}
//非递归快排
void QuickSortNonR(int* pa, int lefti, int righti)
{
ST st;
StackInit(&st);
StackPush(&st, righti);
StackPush(&st, lefti);
while (!StackEmpty(&st))
{
int begin = StackTop(&st);
StackPop(&st);
int end = StackTop(&st);
StackPop(&st);
//三数取中
int midi = GetMidNumi(pa, begin, end);
if (midi != begin)
Swap(&pa[midi], &pa[begin]);
int keyi = begin;
int prev = begin;
int cur = begin + 1;
while (cur <= end)
{
if (pa[cur] < pa[keyi] && ++prev != cur)
{
Swap(&pa[cur], &pa[prev]);
}
cur++;
}
Swap(&pa[prev], &pa[keyi]);
keyi = prev;
if (keyi + 1 < end)
{
StackPush(&st, end);
StackPush(&st, keyi + 1);
}
if (begin < keyi - 1)
{
StackPush(&st, keyi - 1);
StackPush(&st, begin);
}
}
StackDestory(&st);
}
void _MergeSort(int* pa, int begin, int end, int* tmp)
{
if (begin >= end)
return;
int mid = (begin + end) / 2;
_MergeSort(pa, begin, mid, tmp);
_MergeSort(pa, mid + 1, end, tmp);
int begin1 = begin, end1 = mid;
int begin2 = mid + 1, end2 = end;
int i = begin;
while (begin1 <= end1 && begin2 <= end2)
{
if (pa[begin1] < pa[begin2])
{
tmp[i++] = pa[begin1++];
}
else
{
tmp[i++] = pa[begin2++];
}
}
while (begin1 <= end1)
{
tmp[i++] = pa[begin1++];
}
while (begin2 <= end2)
{
tmp[i++] = pa[begin2++];
}
memcpy(pa + begin, tmp + begin, sizeof(int) * (end - begin + 1));
}
//归并排序
void MergeSort(int* a, int n)
{
int* tmp = (int*)malloc(sizeof(int) * n);
if (tmp == NULL)
{
perror("malloc fail\n");
return;
}
_MergeSort(a, 0, n - 1, tmp);
free(tmp);
}
////非递归归并排序
////第一种写法
//void MergeSortNonR(int* pa, int n)
//{
// int* tmp = (int*)malloc(sizeof(int) * n);
// if (tmp == NULL)
// {
// perror("malloc fail\n");
// return;
// }
//
// int gap = 1;
// while (gap < n)
// {
// for (int i = 0; i < n; i += 2 * gap)
// {
// int begin1 = i, end1 = i + gap - 1;
// int begin2 = i + gap, end2 = i + gap * 2 - 1;
// int j = i;
//
// //修正下标
// if (end1 >= n)
// {
// end1 = n - 1;
// begin2 = n;
// end2 = n - 1;
// }
// if (begin2 >= n)
// {
// begin2 = n;
// end2 = n - 1;
// }
// else if (end2 >= n)
// {
// end2 = n - 1;
// }
//
// while (begin1 <= end1 && begin2 <= end2)
// {
// if (pa[begin1] < pa[begin2])
// {
// tmp[j++] = pa[begin1++];
// }
// else
// {
// tmp[j++] = pa[begin2++];
// }
// }
//
// while (begin1 <= end1)
// {
// tmp[j++] = pa[begin1++];
// }
//
// while (begin2 <= end2)
// {
// tmp[j++] = pa[begin2++];
// }
// }
// memcpy(pa, tmp, sizeof(int) * n);
// gap *= 2;
// }
//
// free(tmp);
//}
//第二种写法
void MergeSortNonR(int* pa, int n)
{
int* tmp = (int*)malloc(sizeof(int) * n);
if (tmp == NULL)
{
perror("malloc fail\n");
return;
}
int gap = 1;
while (gap < n)
{
for (int i = 0; i < n; i += 2 * gap)
{
int begin1 = i, end1 = i + gap - 1;
int begin2 = i + gap, end2 = i + gap * 2 - 1;
int j = i;
if (end1 >= n || begi
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