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直接插入排序
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void InsertSort( int r[]) { int n = sizeof (r) / sizeof (r[0]); for ( int i = 1; i < n; ++i) { for ( int j = i - 1; j >= 0; --j) { if (r[j+1] < r[j]) { int s = r[j+1]; r[j+1] = r[j]; r[j] = s; } } } } |
折半插入排序
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void BinInsertSort( int r[]) { int n = sizeof (r) / sizeof (r[0]); for ( int i = 1; i < n; ++i) { int s = r[i]; int low = 0; int high = i - 1; while (low <= high) { int mid = (low + high) / 2; //mid位置为要找的数 if (s < r[mid]) high = mid - 1; else low = mid + 1; } for ( int j = i - 1; j >= high + 1; --j) //high+1即mid,执行数的后移,直到mid的数后移 r[j+1] = r[j]; r[high+1] = s; //mid位置就存放本身 } } |
希尔排序
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void ShellSort( int r[]) { int n = sizeof (r) / sizeof (r[0]); int step = n / 2; while (step >= 1) { for ( int i = step; i < n; ++i) { for ( int j = i - step; j >= 0; j -= step) { if (r[j+step] < r[j]) { int s = r[j+step]; r[j+step] = r[j]; r[j] = s; } } } step /= 2; } } |
直接选择排序
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void SelectSort( int r[]) { int n = sizeof (r) / sizeof (r[0]); for ( int i = 0; i < n - 1; ++i) { int samll = i; for ( int j = i + 1; j < n; ++j) { if (r[small] > r[j]) samll = j; } if (small != i) { int s = r[i]; r[i] = r[small]; r[small] = s; } } } |
堆排序
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void HeapAdjust( int r[]; int i; int j) //调整堆 { int child = 2 * i; int s = r[i]; //s临时存放结点数据 while (child <= j) { if (child < j && r[child+1] > r[child]) //比较2个子树 ++child; if (s >= r[child]) //结点与大子树比较 break ; r[child/2] = r[child]; //如果大子树比结点大,互换 child = 2 * child; //继续向子树检索 } r[child/2] = s; //结点的数为最大的数 } void HeapSort( int r[]) //建堆 { int n = sizeof (r) / sizeof (r[0]); for ( int i = n / 2 - 1; i >= 0; --i) //只有n/2-1前的下标才有子树 { HeapAdjust(r, i, n - 1); //构造大顶堆,结点都比子树大,最后根节点为最大的数 } for ( int i = n - 1; i > 0; --i) { //将当前堆顶元素与当前堆尾元素互换,即将最大的数移到末尾 int s = r[0]; r[0] = r[i]; r[i] = s; HeapAdjust(r, 0, i -1); //将剩下的元素继续调整,最后变成由小到大的顺序 } } |
冒泡排序
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void BubbleSort( int r[]) { int n = sizeof (r) / sizeof (r[0]); for ( int i = 0; i < n - 1; ++i) { for ( int j = 0; j < n - 1 - i; ++j) { if (r[j] > r[j+1]) { int s = r[j]; r[j] = r[j+1]; r[j+1] = s; } } } } |
快速排序
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int Partition( int r[], int low, int high) { int pivotkey = r[low]; int i = low; int j = high; while (i < j) { while (i < j && r[j] > pivotkey) //从j往前找,找出第一个比pivotkey小的数 --j; if (i < j) { r[i] = r[j]; ++i; } while (i < j && r[i] < pivotkey) //从i往后找,找出第一个比pivotkey大的数 ++i; if (i < j) { r[j] = r[i]; --j; } } r[j] = pivotkey; //完成最终交换 return j; //返回分界点,前面的数都比pivotkey小,后面的数都比pivokey大 } void QuickSort( int r[], int low, int high) // 传数组、0和长度-1 { if (low < high) { int pivot = Partition(r, low, high); QuickSort(r, low, pivot - 1); //递归,前半部分继续进行快速排序 QuickSort(r, pivot + 1; high); //递归,后半部分继续进行快速排序 } } |
归并排序
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void copyArray( int source[], int dest[], int len, int first) { int i; int j = first; for (i = 0; i < len; ++i) { dest[j] = source[i]; ++j; } } void merge( int a[], int left, int right) { int begin1 = left; int mid = (left + right) / 2; int begin2 = mid + 1; int newArrayLen = right - left + 1; int *b = ( int *) malloc (newArrayLen * sizeof ( int )); int k = 0; while (begin1 <= mid && begin2 <= right) //找出2组中比较后小的那个数按顺序放进b空间 { if (a[begin1] <= a[begin2]) b[k++] = a[begin1++]; else b[k++] = a[begin2++]; } //把剩下的数放进b空间 while (begin1 <= mid) b[k++] = a[begin1++]; while (begin2 <= right) b[k++] = a[begin2++]; copyArray(b, a, newArrayLen, left); //把b空间的数写回原数组 free (b); } void MergeSort( int r[], int left, int right) //传数组、0和长度-1 { int i; //至少有两个元素才进行排序 if (left < right) { i = (left + right) / 2; MergeSort(r, left, i); //前半部分递归 MergeSort(r, i + 1, right); //后半部分递归 merge(r, left, right); //10个数的比较顺序为[0,1][0,2][3,4][0,4][5,6][5,7][8,9][5,9][0,9] } } |
桶排序
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void insert(list< int > &bucket, int val) { auto iter = bucket.begin(); while (iter != bucket.end() && val >= *iter) ++iter; //insert会在iter之前插入数据,这样可以稳定排序 bucket.insert(iter, val); } void BuckdeSort(vector< int > &arr) { int len = arr.size(); if (len <= 1) return ; int min = arr[0], max = min; for ( int i = 1; i < len; ++i) //找出最小值和最大值 { if (min > arr[i]) min = arr[i]; if (max < arr[i]) max = arr[i]; } int k = 10; //桶的大小 //向上取整,例如[0,9]有10个数,就有(9-0)/k+1=1个桶 int bucketsNum = (max - min) / k + 1; //桶的个数 vector<list< int >> buckets(bucketsNum); for ( int i = 0; i < len; ++i) { int value = arr[i]; //(value-min)/k就是在哪个桶里面 insert(buckets[(value-min)/k], value); //将数据放到各个桶里并排序 } int index = 0; for ( int i = 0; i < bucketsNum; ++i) { if (buckets[i].size()) { for (auto &value : buckets[i]) arr[index++] = value; } } } |
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原文链接:https://segmentfault.com/a/1190000022297110