C++經典的7種排序演算法
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#include <iostream> #include <cstdio> using namespace std; //C++經典的7種排序演算法 /* 參考網頁:: http://www.caogenit.com/caogenxueyuan/yingyongfangxiang/rengongzhineng/1724.html */ ////////////////////////////////////// void SelectSort(int* array, int size); void InsertSort(int* array, int size); void BubbleSort(int* array, int size); void MergeSort(int* array, int left, int right); void Merge(int* array, int left, int mid, int right); void HeapSort(int *array, int size); void HeapAjust(int *array, int toAjust, int size); void QuickSort(int *array, int left, int right); void TreeSort(int *array, int size); void TreeMidRetrival(int* array, int* temp, int pos, int* lChild, int* rChild); void Swap(int* array, int x, int y); ///////////////////////////////////////// void Swap(int* array, int x, int y) { int temp = array[x]; array[x] = array[y]; array[y] = temp; } //選擇排序 void SelectSort(int* array, int size) { int minIndex; for(int i = 0; i < size; i++) { minIndex = i; for(int j = i + 1; j < size; j++) { if(array[minIndex] > array[j]) { minIndex = j; } } if(minIndex != i) { Swap(array, i, minIndex); } } } //氣泡排序 void BubbleSort(int* array, int size) { for(int i = 0; i < size; i++) { for(int j = 1; j < size - i; j++) { if(array[j] < array[j - 1]) { Swap(array, j, j - 1); } } } } //插入排序 void InsertSort(int* array, int size) { for(int i = 1; i < size; i++) { for(int j = i; j > 0; j--) { if(array[j] < array[j - 1]) { Swap(array, j, j-1); } } } } //快速排序 void QuickSort(int* array, int left, int right) { if(left < right) { int i = left -1, j = right + 1; int mid = array[(left + right) / 2]; while(true) { while(array[++i] < mid); while(array[--j] > mid); if(i >= j) { break; } Swap(array, i, j); } QuickSort(array, left, i - 1); QuickSort(array, j + 1, right); } } void Merge(int* array, int left, int mid, int right) { int* temp = new int[right - left + 1]; int i = left, j = mid + 1, m = 0; while(i <= mid && j <= right) { if(array[i] < array[j]) { temp[m++] = array[i++]; } else { temp[m++] = array[j++]; } } while(i <= mid) { temp[m++] = array[i++]; } while(j <= right) { temp[m++] = array[j++];
} for(int n = left, m = 0; n <= right; n++, m++) { array[n] = temp[m]; } delete temp; } //歸併排序 void MergeSort(int* array, int left, int right) { if(left < right) { int mid = (left + right) / 2; MergeSort(array, left, mid); MergeSort(array, mid + 1, right); Merge(array, left, mid, right); } } //調整堆 void HeapAjust(int *array, int toAjust, int size) { int pos = toAjust; while((pos * 2 + 1) < size) { int lChild = pos * 2 + 1; if(array[lChild] > array[pos]) { pos = lChild;//左孩子大 } int rChild = lChild + 1; if(rChild < size && array[rChild] > array[pos]) { pos = rChild;//右孩子更大 } if(pos != toAjust) //父結點比其中一個孩子小 { Swap(array, toAjust, pos); toAjust = pos; } else { break; } } } //堆排序 void HeapSort(int* array, int size) { int lastP = size / 2; //從最後一個有孩子的結點開始建初始堆 for(int i = lastP - 1; i >= 0; i--) { HeapAjust(array, i, size); } int j = size; //將堆頂元素和無序區間的最後一個元素交換,再調整堆 while(j > 0) { Swap(array, 0, j - 1); j--; HeapAjust(array, 0, j); } } //樹排序 void TreeSort(int* array, int size) { int *parent = new int[size];//父結點子針 int *lChild = new int[size];//左孩子子針 int *rChild = new int[size];//右孩子子針 //將各結點左右子結點指標均置為-1,表示沒有左右子結點 for(int i = 0; i < size; i++) { lChild[i] = -1; rChild[i] = -1; } parent[0] = -1; //將第一個元素作為根結點,其父結點置為-1 //從第2個數開始構造樹 for(int i = 1; i < size; i++) { int last = 0; while(true) { int compare = array[i] - array[last]; if(compare > 0) //比當前值大,進入右子樹 { if(rChild[last] == -1) { rChild[last] = i; parent[i] = last; break; } else { last = rChild[last]; } } else //比當前值小,進入左子樹 { if(lChild[last] == -1) { lChild[last] = i; parent[i] = last; break; } else { last = lChild[last]; } } } } //保存排序樹的中序遍歷結果 int* midRetrival = new int[size]; TreeMidRetrival(array, midRetrival, 0, lChild, rChild); //將排好序的中序數組複製到原陣列 for(int i = 0; i < size; i++) { array[i] = midRetrival[i]; } } //中序遍歷 void TreeMidRetrival(int *array, int* temp, int pos, int* lChild, int* rChild) { static int i = 0; if(pos != -1) { TreeMidRetrival(array, temp, lChild[pos], lChild, rChild);//遍歷左子樹 temp[i++] = array[pos];//保存當前值 TreeMidRetrival(array, temp, rChild[pos], lChild, rChild);//遍歷右子樹 } else { return; } } int main() { int i; int intdata[5]={5,3,1,2,4}; printf("before: "); for(i=0;i<5;i++) { printf("%d\t",intdata[i]); } printf("\n"); //SelectSort(intdata, 5); //InsertSort(intdata, 5); BubbleSort(intdata, 5); //MergeSort(intdata, 0, 4); //HeapSort(intdata, 5); //QuickSort(intdata, 0, 4); //TreeSort(intdata, 5); printf("after: "); for(i=0;i<5;i++) { printf("%d\t",intdata[i]); } printf("\n"); cout << "Hello world!" << endl; return 0; }
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