package class05; public class Code02_PartitionAndQuickSort { public static void swap(int[] arr, int i, int j) { int tmp = arr[i]; arr[i] = arr[j]; arr[j] = tmp; } // arr[L..R]上,以arr[R]位置的数做划分值 // <= X > X // <= X X public static int partition(int[] arr, int L, int R) { if (L > R) { return -1; } if (L == R) { return L; } int lessEqual = L - 1; int index = L; while (index < R) { if (arr[index] <= arr[R]) { swap(arr, index, ++lessEqual); } index++; } swap(arr, ++lessEqual, R); return lessEqual; } // arr[L...R] 玩荷兰国旗问题的划分,以arr[R]做划分值 // arr[R] public static int[] netherlandsFlag(int[] arr, int L, int R) { if (L > R) { // L...R L>R return new int[] { -1, -1 }; } if (L == R) { return new int[] { L, R }; } int less = L - 1; // < 区 右边界 int more = R; // > 区 左边界 int index = L; while (index < more) { // 当前位置,不能和 >区的左边界撞上 if (arr[index] == arr[R]) { index++; } else if (arr[index] < arr[R]) { // swap(arr, less + 1, index); // less++; // index++; swap(arr, index++, ++less); } else { // > swap(arr, index, --more); } } swap(arr, more, R); // <[R] =[R] >[R] return new int[] { less + 1, more }; } public static void quickSort1(int[] arr) { if (arr == null || arr.length < 2) { return; } process1(arr, 0, arr.length - 1); } public static void process1(int[] arr, int L, int R) { if (L >= R) { return; } // L..R partition arr[R] [ <=arr[R] arr[R] >arr[R] ] int M = partition(arr, L, R); process1(arr, L, M - 1); process1(arr, M + 1, R); } public static void quickSort2(int[] arr) { if (arr == null || arr.length < 2) { return; } process2(arr, 0, arr.length - 1); } // arr[L...R] 排有序,快排2.0方式 public static void process2(int[] arr, int L, int R) { if (L >= R) { return; } // [ equalArea[0] , equalArea[0]] int[] equalArea = netherlandsFlag(arr, L, R); process2(arr, L, equalArea[0] - 1); process2(arr, equalArea[1] + 1, R); } public static void quickSort3(int[] arr) { if (arr == null || arr.length < 2) { return; } process3(arr, 0, arr.length - 1); } public static void process3(int[] arr, int L, int R) { if (L >= R) { return; } swap(arr, L + (int) (Math.random() * (R - L + 1)), R); int[] equalArea = netherlandsFlag(arr, L, R); process3(arr, L, equalArea[0] - 1); process3(arr, equalArea[1] + 1, R); } // for test public static int[] generateRandomArray(int maxSize, int maxValue) { int[] arr = new int[(int) ((maxSize + 1) * Math.random())]; for (int i = 0; i < arr.length; i++) { arr[i] = (int) ((maxValue + 1) * Math.random()) - (int) (maxValue * Math.random()); } return arr; } // for test public static int[] copyArray(int[] arr) { if (arr == null) { return null; } int[] res = new int[arr.length]; for (int i = 0; i < arr.length; i++) { res[i] = arr[i]; } return res; } // for test public static boolean isEqual(int[] arr1, int[] arr2) { if ((arr1 == null && arr2 != null) || (arr1 != null && arr2 == null)) { return false; } if (arr1 == null && arr2 == null) { return true; } if (arr1.length != arr2.length) { return false; } for (int i = 0; i < arr1.length; i++) { if (arr1[i] != arr2[i]) { return false; } } return true; } // for test public static void printArray(int[] arr) { if (arr == null) { return; } for (int i = 0; i < arr.length; i++) { System.out.print(arr[i] + " "); } System.out.println(); } // for test public static void main(String[] args) { int testTime = 500000; int maxSize = 100; int maxValue = 100; boolean succeed = true; for (int i = 0; i < testTime; i++) { int[] arr1 = generateRandomArray(maxSize, maxValue); int[] arr2 = copyArray(arr1); int[] arr3 = copyArray(arr1); quickSort1(arr1); quickSort2(arr2); quickSort3(arr3); if (!isEqual(arr1, arr2) || !isEqual(arr2, arr3)) { succeed = false; break; } } System.out.println(succeed ? "Nice!" : "Oops!"); } }