This commit is contained in:
toly
2023-10-21 10:10:48 +08:00
parent 689e8d9fdb
commit bcba7ebae2
268 changed files with 83 additions and 13102 deletions

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import 'dart:async';
import 'dart:math';
import 'package:flutter/material.dart';
class SortPage extends StatefulWidget {
const SortPage({Key? key}) : super(key: key);
@override
State<SortPage> createState() => _SortPageState();
}
class _SortPageState extends State<SortPage> {
//存放随机数组
List<int> numbers = [];
//订阅流
StreamController<List<int>> streamController = StreamController();
String currentSort = 'bubble';
//柱子的数量 -> 生成排序数组的长度
double sampleSize = 0;
//是否排序
bool isSorted = false;
//是否在排序中
bool isSorting = false;
//排序动画更新的速度
int speed = 0;
static int duration = 1500;
String getTitle() {
switch (currentSort) {
case "bubble":
return "Bubble Sort";
case "coctail":
return "Coctail Sort";
case "comb":
return "Comb Sort";
case "pigeonhole":
return "Pigeonhole Sort";
case "shell":
return "Shell Sort";
case "selection":
return "Selection Sort";
case "cycle":
return "Cycle Sort";
case "heap":
return "Heap Sort";
case "insertion":
return "Insertion Sort";
case "gnome":
return "Gnome Sort";
case "oddeven":
return "OddEven Sort";
case "quick":
return "Quick Sort";
case "merge":
return "Merge Sort";
}
return "";
}
reset() {
isSorted = false;
numbers = [];
for (int i = 0; i < sampleSize; ++i) {
numbers.add(Random().nextInt(500));
}
streamController.add(numbers);
}
Duration getDuration() {
return Duration(microseconds: duration);
}
///动画时间
changeSpeed() {
if (speed >= 3) {
speed = 0;
duration = 1500;
} else {
speed++;
duration = duration ~/ 2;
}
setState(() {});
}
///冒泡排序
bubbleSort() async {
//控制需要进行排序的次数。每一轮循环都会确定一个数字的最终位置。
for (int i = 0; i < numbers.length; ++i) {
//遍历当前未排序的元素,通过相邻的元素比较并交换位置来完成排序。
for (int j = 0; j < numbers.length - i - 1; ++j) {
//如果 _numbers[j] 大于 _numbers[j + 1],则交换它们的位置,确保较大的元素移到右边。
if (numbers[j] > numbers[j + 1]) {
int temp = numbers[j];
numbers[j] = numbers[j + 1];
numbers[j + 1] = temp;
}
//实现一个延迟以便在ui上展示排序的动画效果
await Future.delayed(getDuration(), () {});
streamController.add(numbers);
}
}
}
///鸡尾酒排序(双向冒泡排序)
cocktailSort() async {
bool swapped = true; // 表示是否进行了交换
int start = 0; // 当前未排序部分的起始位置
int end = numbers.length; // 当前未排序部分的结束位置
// 开始排序循环,只有当没有进行交换时才会退出循环
while (swapped == true) {
swapped = false;
// 从左往右遍历需要排序的部分
for (int i = start; i < end - 1; ++i) {
// 对每两个相邻元素进行比较
if (numbers[i] > numbers[i + 1]) {
// 如果前面的元素大于后面的元素,则交换它们的位置
int temp = numbers[i];
numbers[i] = numbers[i + 1];
numbers[i + 1] = temp;
swapped = true; // 进行了交换
}
// 实现动画效果,延迟一段时间后更新数组状态
await Future.delayed(getDuration());
streamController.add(numbers);
}
// 如果没有进行交换,则说明已经排好序,退出循环
if (swapped == false) break;
// 重设为false准备进行下一轮排序
swapped = false;
// 将end设置为上一轮排序的最后一个元素的位置
end = end - 1;
// 从右往左遍历需要排序的部分
for (int i = end - 1; i >= start; i--) {
// 对每两个相邻元素进行比较
if (numbers[i] > numbers[i + 1]) {
// 如果前面的元素大于后面的元素,则交换它们的位置
int temp = numbers[i];
numbers[i] = numbers[i + 1];
numbers[i + 1] = temp;
swapped = true; // 进行了交换
}
// 实现动画效果,延迟一段时间后更新数组状态
await Future.delayed(getDuration());
streamController.add(numbers);
}
// 将start向右移一位准备下一轮排序
start = start + 1;
}
}
///梳排序Comb Sort
combSort() async {
int gap = numbers.length;
bool swapped = true;
// 当间隔不为1或存在交换时执行循环
while (gap != 1 || swapped == true) {
// 通过缩小间隔来逐步将元素归位
gap = getNextGap(gap);
swapped = false;
for (int i = 0; i < numbers.length - gap; i++) {
// 如果当前元素大于间隔位置上的元素,则交换它们的位置
if (numbers[i] > numbers[i + gap]) {
int temp = numbers[i];
numbers[i] = numbers[i + gap];
numbers[i + gap] = temp;
swapped = true;
}
// 实现一个延迟,以便在 UI 上展示排序的动画效果。
await Future.delayed(getDuration());
streamController.add(numbers);
}
}
}
int getNextGap(int gap) {
// 根据当前间隔值计算下一个间隔值
gap = (gap * 10) ~/ 13;
if (gap < 1) return 1;
return gap;
}
///鸽巢排序
pigeonHole() async {
int min = numbers[0];
int max = numbers[0];
int range, i, j, index;
// 找到数组中的最大值和最小值
for (int a = 0; a < numbers.length; a++) {
if (numbers[a] > max) max = numbers[a];
if (numbers[a] < min) min = numbers[a];
}
// 计算鸽巢的个数
range = max - min + 1;
List<int> p = List.generate(range, (i) => 0);
// 将数字分配到各个鸽巢中
for (i = 0; i < numbers.length; i++) {
p[numbers[i] - min]++;
}
index = 0;
// 将鸽巢中的数字取出,重新放回到数组中
for (j = 0; j < range; j++) {
while (p[j]-- > 0) {
numbers[index++] = j + min;
await Future.delayed(getDuration());
streamController.add(numbers);
}
}
}
///希尔排序
shellSort() async {
//定义变量 gap 并初始化为数组长度的一半。每次循环完成后将 gap 减半直到等于 0。
for (int gap = numbers.length ~/ 2; gap > 0; gap ~/= 2) {
//遍历每个子序列并进行插入排序。初始时从第一个子序列的第二个元素开始,即 i = gap以 gap 为步长逐个遍历每个子序列。
for (int i = gap; i < numbers.length; i += 1) {
//将当前遍历到的元素赋值给它
int temp = numbers[i];
//内部使用一个 for 循环来实现插入排序。
//循环开始时定义变量 j 并将其初始化为当前遍历到的元素的下标。通过不断比较前后相隔 gap 的元素大小并交换位置,将当前元素插入到正确的位置。
int j;
for (j = i; j >= gap && numbers[j - gap] > temp; j -= gap) {
numbers[j] = numbers[j - gap];
}
numbers[j] = temp;
await Future.delayed(getDuration());
streamController.add(numbers);
}
}
}
///选择排序
selectionSort() async {
for (int i = 0; i < numbers.length; i++) {
for (int j = i + 1; j < numbers.length; j++) {
// 遍历未排序部分,内层循环控制变量 j
if (numbers[i] > numbers[j]) {
// 判断当前元素是否比后续元素小
int temp = numbers[j];
// 交换当前元素和后续较小的元素
numbers[j] = numbers[i];
numbers[i] = temp;
}
await Future.delayed(getDuration(), () {});
streamController.add(numbers);
}
}
}
///循环排序
cycleSort() async {
int writes = 0;
for (int cycleStart = 0; cycleStart <= numbers.length - 2; cycleStart++) {
int item = numbers[cycleStart];
int pos = cycleStart;
// 在未排序部分中寻找比当前元素小的元素个数
for (int i = cycleStart + 1; i < numbers.length; i++) {
if (numbers[i] < item) pos++;
}
// 如果当前元素已经在正确位置上,则跳过此次迭代
if (pos == cycleStart) {
continue;
}
// 将当前元素放置到正确的位置上,并记录写操作次数
while (item == numbers[pos]) {
pos += 1;
}
if (pos != cycleStart) {
int temp = item;
item = numbers[pos];
numbers[pos] = temp;
writes++;
}
// 循环将位于当前位置的元素放置到正确的位置上
while (pos != cycleStart) {
pos = cycleStart;
// 继续在未排序部分中寻找比当前元素小的元素个数
for (int i = cycleStart + 1; i < numbers.length; i++) {
if (numbers[i] < item) pos += 1;
}
// 将当前元素放置到正确的位置上,并记录写操作次数
while (item == numbers[pos]) {
pos += 1;
}
if (item != numbers[pos]) {
int temp = item;
item = numbers[pos];
numbers[pos] = temp;
writes++;
}
// 添加延迟操作以展示排序过程
await Future.delayed(getDuration());
streamController.add(numbers);
}
}
}
///堆排序
heapSort() async {
// 从最后一个非叶子节点开始,构建最大堆
for (int i = numbers.length ~/ 2; i >= 0; i--) {
await heapify(numbers, numbers.length, i);
streamController.add(numbers);
}
// 依次取出最大堆的根节点(最大值),并进行堆化
for (int i = numbers.length - 1; i >= 0; i--) {
int temp = numbers[0];
numbers[0] = numbers[i];
numbers[i] = temp;
await heapify(numbers, i, 0);
streamController.add(numbers);
}
}
heapify(List<int> arr, int n, int i) async {
int largest = i;
int l = 2 * i + 1; // 左子节点索引
int r = 2 * i + 2; // 右子节点索引
// 如果左子节点存在并且大于父节点,则更新最大值索引
if (l < n && arr[l] > arr[largest]) largest = l;
// 如果右子节点存在并且大于父节点或左子节点,则更新最大值索引
if (r < n && arr[r] > arr[largest]) largest = r;
// 如果最大值索引不等于当前节点索引,则交换节点值,并递归进行堆化
if (largest != i) {
int temp = numbers[i];
numbers[i] = numbers[largest];
numbers[largest] = temp;
heapify(arr, n, largest);
}
await Future.delayed(getDuration()); // 延迟操作,用于可视化排序过程
}
///插入排序
insertionSort() async {
for (int i = 1; i < numbers.length; i++) {
int temp = numbers[i]; // 将当前元素存储到临时变量 temp 中
int j = i - 1; // j 表示已排序部分的最后一个元素的索引
// 在已排序部分从后往前查找,找到合适位置插入当前元素
while (j >= 0 && temp < numbers[j]) {
numbers[j + 1] = numbers[j]; // 当前元素比已排序部分的元素小,将元素后移一位
--j; // 向前遍历
await Future.delayed(getDuration());
streamController.add(numbers); // 更新排序结果
}
numbers[j + 1] = temp; // 插入当前元素到已排序部分的正确位置
await Future.delayed(getDuration(), () {});
streamController.add(numbers); // 更新排序结果
}
}
///地精排序 (侏儒排序)
gnomeSort() async {
int index = 0;
while (index < numbers.length) {
// 当 index 小于数组长度时执行循环
if (index == 0) index++;
if (numbers[index] >= numbers[index - 1]) {
// 如果当前元素大于等于前面的元素,则将 index 加1
index++;
} else {
// 否则,交换这两个元素,并将 index 减1使得元素可以沉到正确位置
int temp = numbers[index];
numbers[index] = numbers[index - 1];
numbers[index - 1] = temp;
index--;
}
await Future.delayed(getDuration());
streamController.add(numbers);
}
return;
}
///奇偶排序(Odd-Even Sort)
oddEvenSort() async {
bool isSorted = false;
while (!isSorted) {
// 当 isSorted 为 false 时执行循环
isSorted = true; // 先假设数组已经排好序
for (int i = 1; i <= numbers.length - 2; i = i + 2) {
// 对奇数索引位置进行比较
if (numbers[i] > numbers[i + 1]) {
// 如果当前元素大于后面的元素,则交换它们的值
int temp = numbers[i];
numbers[i] = numbers[i + 1];
numbers[i + 1] = temp;
isSorted = false; // 若发生了交换,则说明数组仍未完全排序,将 isSorted 设为 false
await Future.delayed(getDuration());
streamController.add(numbers);
}
}
for (int i = 0; i <= numbers.length - 2; i = i + 2) {
// 对偶数索引位置进行比较
if (numbers[i] > numbers[i + 1]) {
// 如果当前元素大于后面的元素,则交换它们的值
int temp = numbers[i];
numbers[i] = numbers[i + 1];
numbers[i + 1] = temp;
isSorted = false;
await Future.delayed(getDuration());
streamController.add(numbers);
}
}
}
return;
}
///快速排序
quickSort(int leftIndex, int rightIndex) async {
// 定义一个名为 _partition 的异步函数,用于划分数组,并返回划分后的基准元素的索引位置
Future<int> _partition(int left, int right) async {
// 选择中间位置的元素作为基准元素
int p = (left + (right - left) / 2).toInt();
// 交换基准元素和最右边的元素
var temp = numbers[p];
numbers[p] = numbers[right];
numbers[right] = temp;
await Future.delayed(getDuration());
streamController.add(numbers);
// 初始化游标 cursor
int cursor = left;
// 遍历数组并根据基准元素将元素交换到左侧或右侧
for (int i = left; i < right; i++) {
if (cf(numbers[i], numbers[right]) <= 0) {
// 如果当前元素小于等于基准元素,则交换它和游标位置的元素
var temp = numbers[i];
numbers[i] = numbers[cursor];
numbers[cursor] = temp;
cursor++;
await Future.delayed(getDuration());
streamController.add(numbers);
}
}
// 将基准元素放置在游标位置
temp = numbers[right];
numbers[right] = numbers[cursor];
numbers[cursor] = temp;
await Future.delayed(getDuration());
streamController.add(numbers);
return cursor; // 返回基准元素的索引位置
}
// 如果左索引小于右索引,则递归地对数组进行快速排序
if (leftIndex < rightIndex) {
int p = await _partition(leftIndex, rightIndex);
await quickSort(leftIndex, p - 1); // 对基准元素左侧的子数组进行快速排序
await quickSort(p + 1, rightIndex); // 对基准元素右侧的子数组进行快速排序
}
}
// 比较函数,用于判断两个元素的大小关系
cf(int a, int b) {
if (a < b) {
return -1; // 若 a 小于 b则返回 -1
} else if (a > b) {
return 1; // 若 a 大于 b则返回 1
} else {
return 0; // 若 a 等于 b则返回 0
}
}
///归并排序
mergeSort(int leftIndex, int rightIndex) async {
// 定义一个名为 merge 的异步函数,用于合并两个有序子数组
Future<void> merge(int leftIndex, int middleIndex, int rightIndex) async {
// 计算左侧子数组和右侧子数组的大小
int leftSize = middleIndex - leftIndex + 1;
int rightSize = rightIndex - middleIndex;
// 创建左侧子数组和右侧子数组
List leftList = List.generate(leftSize, (index) => 0);
List rightList = List.generate(rightSize, (index) => 0);
// 将原始数组中的元素分别复制到左侧子数组和右侧子数组中
for (int i = 0; i < leftSize; i++) {
leftList[i] = numbers[leftIndex + i];
}
for (int j = 0; j < rightSize; j++) {
rightList[j] = numbers[middleIndex + j + 1];
}
// 初始化游标和索引
int i = 0, j = 0;
int k = leftIndex;
// 比较左侧子数组和右侧子数组的元素,并按顺序将较小的元素放入原始数组中
while (i < leftSize && j < rightSize) {
if (leftList[i] <= rightList[j]) {
numbers[k] = leftList[i];
i++;
} else {
numbers[k] = rightList[j];
j++;
}
await Future.delayed(getDuration());
streamController.add(numbers);
k++;
}
// 将左侧子数组或右侧子数组中剩余的元素放入原始数组中
while (i < leftSize) {
numbers[k] = leftList[i];
i++;
k++;
await Future.delayed(getDuration());
streamController.add(numbers);
}
while (j < rightSize) {
numbers[k] = rightList[j];
j++;
k++;
await Future.delayed(getDuration());
streamController.add(numbers);
}
}
// 如果左索引小于右索引,则递归地对数组进行归并排序
if (leftIndex < rightIndex) {
// 计算中间索引位置
int middleIndex = (rightIndex + leftIndex) ~/ 2;
// 分别对左侧子数组和右侧子数组进行归并排序
await mergeSort(leftIndex, middleIndex);
await mergeSort(middleIndex + 1, rightIndex);
await Future.delayed(getDuration());
streamController.add(numbers);
// 合并两个有序子数组
await merge(leftIndex, middleIndex, rightIndex);
}
}
checkAndResetIfSorted() async {
if (isSorted) {
reset();
await Future.delayed(const Duration(milliseconds: 200));
}
}
sort() async {
setState(() {
isSorting = true;
});
await checkAndResetIfSorted();
Stopwatch stopwatch = Stopwatch()..start();
switch (currentSort) {
case "bubble":
await bubbleSort();
break;
case "coctail":
await cocktailSort();
break;
case "comb":
await combSort();
break;
case "pigeonhole":
await pigeonHole();
break;
case "shell":
await shellSort();
break;
case "selection":
await selectionSort();
break;
case "cycle":
await cycleSort();
break;
case "heap":
await heapSort();
break;
case "insertion":
await insertionSort();
break;
case "gnome":
await gnomeSort();
break;
case "oddeven":
await oddEvenSort();
break;
case "quick":
await quickSort(0, sampleSize.toInt() - 1);
break;
case "merge":
await mergeSort(0, sampleSize.toInt() - 1);
break;
}
stopwatch.stop();
print("Sorting completed in ${stopwatch.elapsed.inMilliseconds} ms.");
setState(() {
isSorting = false;
isSorted = true;
});
}
setSort(String type) {
setState(() {
currentSort = type;
});
}
@override
void initState() {
super.initState();
// reset();
}
@override
void didChangeDependencies() {
super.didChangeDependencies();
sampleSize = MediaQuery.of(context).size.width / 2;
for (int i = 0; i < sampleSize; ++i) {
//随机往数组中填值
numbers.add(Random().nextInt(500));
}
setState(() {});
}
@override
void dispose() {
streamController.close();
super.dispose();
}
@override
Widget build(BuildContext context) {
return Scaffold(
appBar: AppBar(
title: Text(
"当前选择的是:${getTitle()}",
style: const TextStyle(fontSize: 14),
),
actions: <Widget>[
PopupMenuButton(
initialValue: currentSort,
itemBuilder: (ctx) {
return const [
PopupMenuItem(
value: 'bubble',
child: Text("Bubble Sort — 冒泡排序"),
),
PopupMenuItem(
value: 'coctail',
child: Text("Coctail Sort — 鸡尾酒排序(双向冒泡排序)"),
),
PopupMenuItem(
value: 'comb',
child: Text("Comb Sort — 梳排序"),
),
PopupMenuItem(
value: 'pigeonhole',
child: Text("pigeonhole Sort — 鸽巢排序"),
),
PopupMenuItem(
value: 'shell',
child: Text("shell Sort — 希尔排序"),
),
PopupMenuItem(
value: 'selection',
child: Text("Selection Sort — 选择排序"),
),
PopupMenuItem(
value: 'cycle',
child: Text("CycleSort — 循环排序"),
),
PopupMenuItem(
value: 'heap',
child: Text("HeapSort — 堆排序"),
),
PopupMenuItem(
value: 'insertion',
child: Text("InsertionSort — 插入排序"),
),
PopupMenuItem(
value: 'gnome',
child: Text("GnomeSort — 地精排序 (侏儒排序)"),
),
PopupMenuItem(
value: 'oddeven',
child: Text("OddEvenSort — 奇偶排序"),
),
PopupMenuItem(
value: 'quick',
child: Text("QuickSort — 快速排序"),
),
PopupMenuItem(
value: 'merge',
child: Text("MergeSort — 归并排序"),
),
];
},
onSelected: (String value) {
reset();
setSort(value);
},
)
],
),
body: StreamBuilder<Object>(
initialData: numbers,
stream: streamController.stream,
builder: (context, snapshot) {
List<int> numbers = snapshot.data as List<int>;
int counter = 0;
return Row(
children: numbers.map((int num) {
counter++;
return CustomPaint(
painter: BarPainter(
width: MediaQuery.of(context).size.width / sampleSize,
value: num,
index: counter,
),
);
}).toList(),
);
},
),
bottomNavigationBar: BottomAppBar(
child: Row(
mainAxisAlignment: MainAxisAlignment.spaceAround,
children: <Widget>[
ElevatedButton(
onPressed: isSorting
? null
: () {
reset();
setSort(currentSort);
},
child: const Text("重置")),
ElevatedButton(
onPressed: isSorting ? null : sort, child: const Text("开始排序")),
ElevatedButton(
onPressed: isSorting ? null : changeSpeed,
child: Text(
"${speed + 1}x",
style: const TextStyle(fontSize: 20),
),
),
],
),
),
);
}
}
class BarPainter extends CustomPainter {
//宽度
final double width;
//高度(数组中对应的值)
final int value;
//位置索引
final int index;
BarPainter({required this.width, required this.value, required this.index});
@override
void paint(Canvas canvas, Size size) {
Paint paint = Paint();
if (value < 500 * .10) {
paint.color = Colors.blue.shade100;
} else if (value < 500 * .20) {
paint.color = Colors.blue.shade200;
} else if (value < 500 * .30) {
paint.color = Colors.blue.shade300;
} else if (value < 500 * .40) {
paint.color = Colors.blue.shade400;
} else if (value < 500 * .50) {
paint.color = Colors.blue.shade500;
} else if (value < 500 * .60) {
paint.color = Colors.blue.shade600;
} else if (value < 500 * .70) {
paint.color = Colors.blue.shade700;
} else if (value < 500 * .80) {
paint.color = Colors.blue.shade800;
} else if (value < 500 * .90) {
paint.color = Colors.blue.shade900;
} else {
paint.color = const Color(0xFF011E51);
}
paint.strokeWidth = width;
paint.strokeCap = StrokeCap.round;
canvas.drawLine(
Offset(index * width, 0),
Offset(
index * width,
value.ceilToDouble(),
),
paint);
}
@override
bool shouldRepaint(covariant CustomPainter oldDelegate) {
return true;
}
}