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code: added Typescript and Javascript examples #196

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c94101a
docs: added Typescript and Javascript examples
RiverTwilight Jan 1, 2023
3f00aa3
code: added code for time complexity chapter
RiverTwilight Jan 2, 2023
2bd24e6
code: added doc code
RiverTwilight Jan 2, 2023
8c73625
code: transcribe time_complexity.js
RiverTwilight Jan 2, 2023
f83dcce
fix: doesnt return anything
RiverTwilight Jan 2, 2023
6e2412f
lint: code lint
RiverTwilight Jan 2, 2023
db2a91b
lint: remove class and main
RiverTwilight Jan 2, 2023
d3e15a8
lint: var to let
RiverTwilight Jan 2, 2023
621fcb7
lint: switch indent type
RiverTwilight Jan 2, 2023
63cd3e4
lint: added prettier config and switch indent type
RiverTwilight Jan 2, 2023
92c8d34
lint: remove extra indent
RiverTwilight Jan 2, 2023
23b4aa1
code: added scripts to the doc
RiverTwilight Jan 2, 2023
36e8335
lint: added missing comment
RiverTwilight Jan 3, 2023
b5c9db9
Update docs/chapter_computational_complexity/time_complexity.md
krahets Jan 4, 2023
abdf1f3
Update codes/javascript/chapter_computational_complexity/time_complex…
krahets Jan 4, 2023
c5a9eea
Update codes/typescript/chapter_computational_complexity/time_complex…
krahets Jan 4, 2023
a29a584
Update codes/typescript/chapter_computational_complexity/time_complex…
krahets Jan 4, 2023
d5969e4
Update docs/chapter_computational_complexity/time_complexity.md
krahets Jan 4, 2023
3906c3d
Update docs/chapter_computational_complexity/time_complexity.md
krahets Jan 4, 2023
9f7a9fd
Update codes/typescript/chapter_computational_complexity/time_complex…
krahets Jan 4, 2023
2acf85a
Update docs/chapter_computational_complexity/time_complexity.md
krahets Jan 4, 2023
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Update docs/chapter_computational_complexity/time_complexity.md
krahets Jan 4, 2023
03aeda8
Update docs/chapter_computational_complexity/time_complexity.md
krahets Jan 4, 2023
51004b8
Apply suggestions from code review
krahets Jan 4, 2023
7cd1347
code(js): worst best time complexity
RiverTwilight Jan 5, 2023
8031e0e
lint: added missing keyword
RiverTwilight Jan 5, 2023
c53f64d
code(ts): worst best time complexity
RiverTwilight Jan 5, 2023
21096c8
lint: added comments
RiverTwilight Jan 5, 2023
e96272a
Apply suggestions from code review
krahets Jan 5, 2023
52927ca
fix: change shuffle algo in the doc
RiverTwilight Jan 6, 2023
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lint
RiverTwilight Jan 6, 2023
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4 changes: 4 additions & 0 deletions .prettierrc
Original file line number Diff line number Diff line change
@@ -0,0 +1,4 @@
{
"tabWidth": 4,
"useTabs": false
}
153 changes: 153 additions & 0 deletions codes/javascript/chapter_computational_complexity/time_complexity.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,153 @@
/**
* File: time_complexity.js
* Created Time: 2023-01-02
* Author: RiverTwilight (contact@rene.wang)
*/

/* 常数阶 */
function constant(n) {
let count = 0;
const size = 100000;
for (let i = 0; i < size; i++) count++;
return count;
}

/* 线性阶 */
function linear(n) {
let count = 0;
for (let i = 0; i < n; i++) count++;
return count;
}

/* 线性阶(遍历数组) */
function arrayTraversal(nums) {
let count = 0;
// 循环次数与数组长度成正比
for (let i = 0; i < nums.length; i++) {
count++;
}
return count;
}

/* 平方阶 */
function quadratic(n) {
let count = 0;
// 循环次数与数组长度成平方关系
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
count++;
}
}
return count;
}

/* 平方阶(冒泡排序) */
function bubbleSort(nums) {
let count = 0; // 计数器
// 外循环:待排序元素数量为 n-1, n-2, ..., 1
for (let i = nums.length - 1; i > 0; i--) {
// 内循环:冒泡操作
for (let j = 0; j < i; j++) {
if (nums[j] > nums[j + 1]) {
// 交换 nums[j] 与 nums[j + 1]
let tmp = nums[j];
nums[j] = nums[j + 1];
nums[j + 1] = tmp;
count += 3; // 元素交换包含 3 个单元操作
}
}
}
return count;
}

/* 指数阶(循环实现) */
function exponential(n) {
let count = 0,
base = 1;
// cell 每轮一分为二,形成数列 1, 2, 4, 8, ..., 2^(n-1)
for (let i = 0; i < n; i++) {
for (let j = 0; j < base; j++) {
count++;
}
base *= 2;
}
// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1
return count;
}

/* 指数阶(递归实现) */
function expRecur(n) {
if (n == 1) return 1;
return expRecur(n - 1) + expRecur(n - 1) + 1;
}

/* 对数阶(循环实现) */
function logarithmic(n) {
let count = 0;
while (n > 1) {
n = n / 2;
count++;
}
return count;
}

/* 对数阶(递归实现) */
function logRecur(n) {
if (n <= 1) return 0;
return logRecur(n / 2) + 1;
}

/* 线性对数阶 */
function linearLogRecur(n) {
if (n <= 1) return 1;
let count = linearLogRecur(n / 2) + linearLogRecur(n / 2);
for (let i = 0; i < n; i++) {
count++;
}
return count;
}

/* 阶乘阶(递归实现) */
function factorialRecur(n) {
if (n == 0) return 1;
let count = 0;
// 从 1 个分裂出 n 个
for (let i = 0; i < n; i++) {
count += factorialRecur(n - 1);
}
return count;
}

const n = 8;
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console.log("输入数据大小 n = " + n);

let count = constant(n);
console.log("常数阶的计算操作数量 = " + count);

count = linear(n);
console.log("线性阶的计算操作数量 = " + count);
count = arrayTraversal(new Array(n));
console.log("线性阶(遍历数组)的计算操作数量 = " + count);

count = quadratic(n);
console.log("平方阶的计算操作数量 = " + count);
let nums = new Array(n);
for (let i = 0; i < n; i++) nums[i] = n - i; // [n,n-1,...,2,1]
count = bubbleSort(nums);
console.log("平方阶(冒泡排序)的计算操作数量 = " + count);

count = exponential(n);
console.log("指数阶(循环实现)的计算操作数量 = " + count);
count = expRecur(n);
console.log("指数阶(递归实现)的计算操作数量 = " + count);

count = logarithmic(n);
console.log("对数阶(循环实现)的计算操作数量 = " + count);
count = logRecur(n);
console.log("对数阶(递归实现)的计算操作数量 = " + count);

count = linearLogRecur(n);
console.log("线性对数阶(递归实现)的计算操作数量 = " + count);

count = factorialRecur(n);
console.log("阶乘阶(递归实现)的计算操作数量 = " + count);
153 changes: 153 additions & 0 deletions codes/typescript/chapter_computational_complexity/time_complexity.ts
Original file line number Diff line number Diff line change
@@ -0,0 +1,153 @@
/**
* File: time_complexity.ts
* Created Time: 2023-01-02
* Author: RiverTwilight (contact@rene.wang)
*/
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/* 常数阶 */
function constant(n: number): number {
let count = 0;
const size = 100000;
for (let i = 0; i < size; i++) count++;
return count;
}

/* 线性阶 */
function linear(n: number): number {
let count = 0;
for (let i = 0; i < n; i++) count++;
return count;
}

/* 线性阶(遍历数组) */
function arrayTraversal(nums: number[]) {
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let count = 0;
// 循环次数与数组长度成正比
for (let i = 0; i < nums.length; i++) {
count++;
}
return count;
}

/* 平方阶 */
function quadratic(n: number): number {
let count = 0;
// 循环次数与数组长度成平方关系
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
count++;
}
}
return count;
}

/* 平方阶(冒泡排序) */
function bubbleSort(nums: number[]): number {
let count = 0; // 计数器
// 外循环:待排序元素数量为 n-1, n-2, ..., 1
for (let i = nums.length - 1; i > 0; i--) {
// 内循环:冒泡操作
for (let j = 0; j < i; j++) {
if (nums[j] > nums[j + 1]) {
// 交换 nums[j] 与 nums[j + 1]
let tmp = nums[j];
nums[j] = nums[j + 1];
nums[j + 1] = tmp;
count += 3; // 元素交换包含 3 个单元操作
}
}
}
return count;
}

/* 指数阶(循环实现) */
function exponential(n: number): number {
let count = 0,
base = 1;
// cell 每轮一分为二,形成数列 1, 2, 4, 8, ..., 2^(n-1)
for (let i = 0; i < n; i++) {
for (let j = 0; j < base; j++) {
count++;
}
base *= 2;
}
// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1
return count;
}

/* 指数阶(递归实现) */
function expRecur(n: number): number {
if (n == 1) return 1;
return expRecur(n - 1) + expRecur(n - 1) + 1;
}

/* 对数阶(循环实现) */
function logarithmic(n: number): number {
let count = 0;
while (n > 1) {
n = n / 2;
count++;
}
return count;
}

/* 对数阶(递归实现) */
function logRecur(n: number): number {
if (n <= 1) return 0;
return logRecur(n / 2) + 1;
}

/* 线性对数阶 */
function linearLogRecur(n: number): number {
if (n <= 1) return 1;
let count = linearLogRecur(n / 2) + linearLogRecur(n / 2);
for (let i = 0; i < n; i++) {
count++;
}
return count;
}

/* 阶乘阶(递归实现) */
function factorialRecur(n: number): number {
if (n == 0) return 1;
let count = 0;
// 从 1 个分裂出 n 个
for (let i = 0; i < n; i++) {
count += factorialRecur(n - 1);
}
return count;
}

var n = 8;
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console.log("输入数据大小 n = " + n);

var count = constant(n);
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console.log("常数阶的计算操作数量 = " + count);

count = linear(n);
console.log("线性阶的计算操作数量 = " + count);
count = arrayTraversal(new Array(n));
console.log("线性阶(遍历数组)的计算操作数量 = " + count);

count = quadratic(n);
console.log("平方阶的计算操作数量 = " + count);
var nums = new Array(n);
for (let i = 0; i < n; i++) nums[i] = n - i; // [n,n-1,...,2,1]
count = bubbleSort(nums);
console.log("平方阶(冒泡排序)的计算操作数量 = " + count);

count = exponential(n);
console.log("指数阶(循环实现)的计算操作数量 = " + count);
count = expRecur(n);
console.log("指数阶(递归实现)的计算操作数量 = " + count);

count = logarithmic(n);
console.log("对数阶(循环实现)的计算操作数量 = " + count);
count = logRecur(n);
console.log("对数阶(递归实现)的计算操作数量 = " + count);

count = linearLogRecur(n);
console.log("线性对数阶(递归实现)的计算操作数量 = " + count);

count = factorialRecur(n);
console.log("阶乘阶(递归实现)的计算操作数量 = " + count);
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