GUI(图形用户界面)比程序更有助于理解。在本文中,我们将使用JavaScript可视化“快速排序”。我们将看到如何将数组划分为两部分,以及如何获得最终的排序数组。我们还将可视化快速排序的时间复杂度。
参考:
- 快速排序
- 霍尔的分区
- JavaScript中的异步函数
方法:
- 首先,我们将使用Math.random()函数生成一个随机数组。
- 使用不同的颜色来指示要比较的元素,左分区和右分区。
- 由于该算法执行操作非常快,因此已使用setTimeout()函数来减慢该过程。
- 可以通过按“ Ctrl + R”键来生成新数组。
- 使用快速排序()函数使用hoare_partition进行排序()函数
例子:
下面是可视化快速排序算法的程序。
index.html
Quick Sort (Hoare's Partition)
style.css
* {
margin: 0px;
padding: 0px;
box-sizing: border-box;
}
.header {
font-size: 20px;
text-align: center;
}
#array {
background-color: white;
height: 288px;
width: 598px;
margin: auto;
position: relative;
margin-top: 64px;
}
.block {
width: 28px;
background-color: #6b5b95;
position: absolute;
bottom: 0px;
transition: 0.2s all ease;
}
.block_id {
position: absolute;
color: black;
margin-top: -20px;
width: 100%;
text-align: center;
}
.block_id2 {
position: absolute;
color: black;
margin-top: 22px;
width: 100%;
text-align: center;
}
.block2 {
width: 28px;
background-color: darkgray;
position: absolute;
transition: 0.2s all ease;
}
.block_id3 {
position: absolute;
color: black;
margin-top: 1px;
width: 100%;
text-align: center;
}
#count {
height: 20px;
width: 598px;
margin: auto;
}
script.js
var container = document.getElementById("array");
// Function to generate the array of blocks
function generatearray() {
for (var i = 0; i < 20; i++) {
// Return a value from 1 to 100 (both inclusive)
var value = Math.ceil(Math.random() * 100);
// Creating element div
var array_ele = document.createElement("div");
// Adding class 'block' to div
array_ele.classList.add("block");
// Adding style to div
array_ele.style.height =
`${value * 3}px`;
array_ele.style.transform =
`translate(${i * 30}px)`;
// Creating label element for displaying
// size of particular block
var array_ele_label =
document.createElement("label");
array_ele_label.classList.add("block_id");
array_ele_label.innerText = value;
// Appending created elements to index.html
array_ele.appendChild(array_ele_label);
container.appendChild(array_ele);
}
}
// Function to generate indexes
var count_container = document.getElementById("count");
function generate_idx() {
for (var i = 0; i < 20; i++) {
// Creating element div
var array_ele2 = document.createElement("div");
// Adding class 'block2' to div
array_ele2.classList.add("block2");
// Adding style to div
array_ele2.style.height =
`${20}px`;
array_ele2.style.transform =
`translate(${i * 30}px)`;
//adding indexes
var array_ele_label2 =
document.createElement("label");
array_ele_label2.classList.add("block_id3");
array_ele_label2.innerText = i;
// Appending created elements to index.html
array_ele2.appendChild(array_ele_label2);
count_container.appendChild(array_ele2);
}
}
async function hoare_partition(l, r, delay = 700) {
var blocks =
document.querySelectorAll(".block");
var pivot =
Number(blocks[l].childNodes[0].innerHTML);
var i = l - 1;
var j = r + 1;
while (true) {
// Find leftmost element greater than
// or equal to pivot
do {
i++;
if (i - 1 >= l) blocks[i - 1].style.backgroundColor = "red";
blocks[i].style.backgroundColor = "yellow";
//To wait for 700 milliseconds
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, delay)
);
} while (Number(blocks[i].childNodes[0].innerHTML) < pivot);
// Find rightmost element smaller than
// or equal to pivot
do {
j--;
if (j + 1 <= r) blocks[j + 1].style.backgroundColor = "green";
blocks[j].style.backgroundColor = "yellow";
//To wait for 700 milliseconds
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, delay)
);
} while (Number(blocks[j].childNodes[0].innerHTML) > pivot);
// If two pointers met.
if (i >= j) {
for (var k = 0; k < 20; k++) blocks[k].style.backgroundColor = "#6b5b95";
return j;
}
//swapping ith and jth element
var temp1 = blocks[i].style.height;
var temp2 = blocks[i].childNodes[0].innerText;
blocks[i].style.height = blocks[j].style.height;
blocks[j].style.height = temp1;
blocks[i].childNodes[0].innerText = blocks[j].childNodes[0].innerText;
blocks[j].childNodes[0].innerText = temp2;
//To wait for 700 milliseconds
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, delay)
);
}
}
// Asynchronous QuickSort function
async function QuickSort(l, r, delay = 100) {
// QuickSort Algorithm
if (l < r) {
//Storing the index of pivot element after partition
var pivot_idx = await hoare_partition(l, r);
//Recursively calling quicksort for left partition
await QuickSort(l, pivot_idx);
//Recursively calling quicksort for right partition
await QuickSort(pivot_idx + 1, r);
}
}
// Calling generatearray function
generatearray();
// Calling generate_idx function
generate_idx();
// Calling QuickSort function
QuickSort(0, 19);
style.css
* {
margin: 0px;
padding: 0px;
box-sizing: border-box;
}
.header {
font-size: 20px;
text-align: center;
}
#array {
background-color: white;
height: 288px;
width: 598px;
margin: auto;
position: relative;
margin-top: 64px;
}
.block {
width: 28px;
background-color: #6b5b95;
position: absolute;
bottom: 0px;
transition: 0.2s all ease;
}
.block_id {
position: absolute;
color: black;
margin-top: -20px;
width: 100%;
text-align: center;
}
.block_id2 {
position: absolute;
color: black;
margin-top: 22px;
width: 100%;
text-align: center;
}
.block2 {
width: 28px;
background-color: darkgray;
position: absolute;
transition: 0.2s all ease;
}
.block_id3 {
position: absolute;
color: black;
margin-top: 1px;
width: 100%;
text-align: center;
}
#count {
height: 20px;
width: 598px;
margin: auto;
}
script.js
var container = document.getElementById("array");
// Function to generate the array of blocks
function generatearray() {
for (var i = 0; i < 20; i++) {
// Return a value from 1 to 100 (both inclusive)
var value = Math.ceil(Math.random() * 100);
// Creating element div
var array_ele = document.createElement("div");
// Adding class 'block' to div
array_ele.classList.add("block");
// Adding style to div
array_ele.style.height =
`${value * 3}px`;
array_ele.style.transform =
`translate(${i * 30}px)`;
// Creating label element for displaying
// size of particular block
var array_ele_label =
document.createElement("label");
array_ele_label.classList.add("block_id");
array_ele_label.innerText = value;
// Appending created elements to index.html
array_ele.appendChild(array_ele_label);
container.appendChild(array_ele);
}
}
// Function to generate indexes
var count_container = document.getElementById("count");
function generate_idx() {
for (var i = 0; i < 20; i++) {
// Creating element div
var array_ele2 = document.createElement("div");
// Adding class 'block2' to div
array_ele2.classList.add("block2");
// Adding style to div
array_ele2.style.height =
`${20}px`;
array_ele2.style.transform =
`translate(${i * 30}px)`;
//adding indexes
var array_ele_label2 =
document.createElement("label");
array_ele_label2.classList.add("block_id3");
array_ele_label2.innerText = i;
// Appending created elements to index.html
array_ele2.appendChild(array_ele_label2);
count_container.appendChild(array_ele2);
}
}
async function hoare_partition(l, r, delay = 700) {
var blocks =
document.querySelectorAll(".block");
var pivot =
Number(blocks[l].childNodes[0].innerHTML);
var i = l - 1;
var j = r + 1;
while (true) {
// Find leftmost element greater than
// or equal to pivot
do {
i++;
if (i - 1 >= l) blocks[i - 1].style.backgroundColor = "red";
blocks[i].style.backgroundColor = "yellow";
//To wait for 700 milliseconds
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, delay)
);
} while (Number(blocks[i].childNodes[0].innerHTML) < pivot);
// Find rightmost element smaller than
// or equal to pivot
do {
j--;
if (j + 1 <= r) blocks[j + 1].style.backgroundColor = "green";
blocks[j].style.backgroundColor = "yellow";
//To wait for 700 milliseconds
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, delay)
);
} while (Number(blocks[j].childNodes[0].innerHTML) > pivot);
// If two pointers met.
if (i >= j) {
for (var k = 0; k < 20; k++) blocks[k].style.backgroundColor = "#6b5b95";
return j;
}
//swapping ith and jth element
var temp1 = blocks[i].style.height;
var temp2 = blocks[i].childNodes[0].innerText;
blocks[i].style.height = blocks[j].style.height;
blocks[j].style.height = temp1;
blocks[i].childNodes[0].innerText = blocks[j].childNodes[0].innerText;
blocks[j].childNodes[0].innerText = temp2;
//To wait for 700 milliseconds
await new Promise((resolve) =>
setTimeout(() => {
resolve();
}, delay)
);
}
}
// Asynchronous QuickSort function
async function QuickSort(l, r, delay = 100) {
// QuickSort Algorithm
if (l < r) {
//Storing the index of pivot element after partition
var pivot_idx = await hoare_partition(l, r);
//Recursively calling quicksort for left partition
await QuickSort(l, pivot_idx);
//Recursively calling quicksort for right partition
await QuickSort(pivot_idx + 1, r);
}
}
// Calling generatearray function
generatearray();
// Calling generate_idx function
generate_idx();
// Calling QuickSort function
QuickSort(0, 19);
输出: