mirror of
https://github.com/TheAlgorithms/JavaScript.git
synced 2025-07-06 17:50:39 +08:00
Merge pull request #88 from PatOnTheBack/master
Improved JSLint Compliance and Created Math Algorithms
This commit is contained in:
@ -1,25 +1,25 @@
|
|||||||
function euclideanGCDRecursive (first, second) {
|
function euclideanGCDRecursive(first, second) {
|
||||||
/*
|
/*
|
||||||
Calculates GCD of two numbers using Euclidean Recursive Algorithm
|
Calculates GCD of two numbers using Euclidean Recursive Algorithm
|
||||||
:param first: First number
|
:param first: First number
|
||||||
:param second: Second number
|
:param second: Second number
|
||||||
:return: GCD of the numbers
|
:return: GCD of the numbers
|
||||||
*/
|
*/
|
||||||
if (second == 0) {
|
if (second === 0) {
|
||||||
return first;
|
return first;
|
||||||
} else {
|
} else {
|
||||||
return euclideanGCDRecursive(second, (first % second));
|
return euclideanGCDRecursive(second, (first % second));
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
function euclideanGCDIterative (first, second) {
|
function euclideanGCDIterative(first, second) {
|
||||||
/*
|
/*
|
||||||
Calculates GCD of two numbers using Euclidean Iterative Algorithm
|
Calculates GCD of two numbers using Euclidean Iterative Algorithm
|
||||||
:param first: First number
|
:param first: First number
|
||||||
:param second: Second number
|
:param second: Second number
|
||||||
:return: GCD of the numbers
|
:return: GCD of the numbers
|
||||||
*/
|
*/
|
||||||
while (second != 0) {
|
while (second !== 0) {
|
||||||
let temp = second;
|
let temp = second;
|
||||||
second = first % second;
|
second = first % second;
|
||||||
first = temp;
|
first = temp;
|
||||||
@ -27,7 +27,7 @@ function euclideanGCDIterative (first, second) {
|
|||||||
return first;
|
return first;
|
||||||
}
|
}
|
||||||
|
|
||||||
function main () {
|
function main() {
|
||||||
let first = 20;
|
let first = 20;
|
||||||
let second = 30;
|
let second = 30;
|
||||||
console.log('Recursive GCD for %d and %d is %d', first, second, euclideanGCDRecursive(first, second));
|
console.log('Recursive GCD for %d and %d is %d', first, second, euclideanGCDRecursive(first, second));
|
||||||
|
@ -1,4 +1,4 @@
|
|||||||
function sieveOfEratosthenes (n) {
|
function sieveOfEratosthenes(n) {
|
||||||
/*
|
/*
|
||||||
* Calculates prime numbers till a number n
|
* Calculates prime numbers till a number n
|
||||||
* :param n: Number upto which to calculate primes
|
* :param n: Number upto which to calculate primes
|
||||||
@ -18,7 +18,7 @@ function sieveOfEratosthenes (n) {
|
|||||||
return primes;
|
return primes;
|
||||||
}
|
}
|
||||||
|
|
||||||
function main () {
|
function main() {
|
||||||
let n = 69; // number till where we wish to find primes
|
let n = 69; // number till where we wish to find primes
|
||||||
let primes = sieveOfEratosthenes(n);
|
let primes = sieveOfEratosthenes(n);
|
||||||
for (let i = 2; i <= n; i++) {
|
for (let i = 2; i <= n; i++) {
|
||||||
|
@ -15,24 +15,24 @@ function rot13(str) {
|
|||||||
let response = [];
|
let response = [];
|
||||||
let strLength = str.length;
|
let strLength = str.length;
|
||||||
|
|
||||||
for (let i =0; i < strLength; i++) {
|
for (let i = 0; i < strLength; i++) {
|
||||||
const char = str.charCodeAt(i);
|
const char = str.charCodeAt(i);
|
||||||
|
|
||||||
if (char < 65 || (char > 90 && char < 97) || char > 122) {
|
if (char < 65 || (char > 90 && char < 97) || char > 122) {
|
||||||
response.push(str.charAt(i));
|
response.push(str.charAt(i));
|
||||||
} else if ((char > 77 && char <= 90 ) || (char > 109 && char <= 122)) {
|
} else if ((char > 77 && char <= 90) || (char > 109 && char <= 122)) {
|
||||||
response.push(String.fromCharCode(str.charCodeAt(i) - 13));
|
response.push(String.fromCharCode(str.charCodeAt(i) - 13));
|
||||||
} else {
|
} else {
|
||||||
response.push(String.fromCharCode(str.charCodeAt(i) + 13));
|
response.push(String.fromCharCode(str.charCodeAt(i) + 13));
|
||||||
}
|
}
|
||||||
|
|
||||||
}
|
}
|
||||||
return response.join('');
|
return response.join("");
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
// Caesars Cipher Example
|
// Caesars Cipher Example
|
||||||
const encryptedString = 'Uryyb Jbeyq';
|
const encryptedString = "Uryyb Jbeyq";
|
||||||
const decryptedString = rot13(encryptedString);
|
const decryptedString = rot13(encryptedString);
|
||||||
|
|
||||||
console.log(decryptedString); // Hello World
|
console.log(decryptedString); // Hello World
|
@ -4,7 +4,7 @@ function decimalToBinary(num) {
|
|||||||
bin.unshift(num % 2);
|
bin.unshift(num % 2);
|
||||||
num >>= 1; // basically /= 2 without remainder if any
|
num >>= 1; // basically /= 2 without remainder if any
|
||||||
}
|
}
|
||||||
console.log("The decimal in binary is " + bin.join(''));
|
console.log("The decimal in binary is " + bin.join(""));
|
||||||
}
|
}
|
||||||
|
|
||||||
decimalToBinary(2);
|
decimalToBinary(2);
|
||||||
|
@ -1,27 +1,27 @@
|
|||||||
/*Binary Search-Search a sorted array by repeatedly dividing the search interval
|
/*Binary Search-Search a sorted array by repeatedly dividing the search interval
|
||||||
* in half. Begin with an interval covering the whole array. If the value of the
|
* in half. Begin with an interval covering the whole array. If the value of the
|
||||||
* search key is less than the item in the middle of the interval, narrow the interval
|
* search key is less than the item in the middle of the interval, narrow the interval
|
||||||
* to the lower half. Otherwise narrow it to the upper half. Repeatedly check until the
|
* to the lower half. Otherwise narrow it to the upper half. Repeatedly check until the
|
||||||
* value is found or the interval is empty.
|
* value is found or the interval is empty.
|
||||||
*/
|
*/
|
||||||
|
|
||||||
function binarySearch(arr, i) {
|
function binarySearch(arr, i) {
|
||||||
var mid = Math.floor(arr.length / 2);
|
var mid = Math.floor(arr.length / 2);
|
||||||
if (arr[mid] === i) {
|
if (arr[mid] === i) {
|
||||||
console.log('match', arr[mid], i);
|
console.log("match", arr[mid], i);
|
||||||
return arr[mid];
|
return arr[mid];
|
||||||
} else if (arr[mid] < i && arr.length > 1) {
|
} else if (arr[mid] < i && arr.length > 1) {
|
||||||
binarySearch(arr.splice(mid, Number.MAX_VALUE), i);
|
binarySearch(arr.splice(mid, Number.MAX_VALUE), i);
|
||||||
} else if (arr[mid] > i && arr.length > 1) {
|
} else if (arr[mid] > i && arr.length > 1) {
|
||||||
binarySearch(arr.splice(0, mid), i);
|
binarySearch(arr.splice(0, mid), i);
|
||||||
} else {
|
} else {
|
||||||
console.log('not found', i);
|
console.log("not found", i);
|
||||||
return -1;
|
return -1;
|
||||||
}
|
}
|
||||||
|
|
||||||
}
|
}
|
||||||
|
|
||||||
var ar=[1,2,3,4,5,6,7,8,9,10];
|
var ar = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10];
|
||||||
binarySearch(ar,3);
|
binarySearch(ar, 3);
|
||||||
binarySearch(ar,7);
|
binarySearch(ar, 7);
|
||||||
binarySearch(ar,13);
|
binarySearch(ar, 13);
|
||||||
|
@ -1,9 +1,9 @@
|
|||||||
/*
|
/*
|
||||||
* Linear search or sequential search is a method for finding a target
|
* Linear search or sequential search is a method for finding a target
|
||||||
* value within a list. It sequentially checks each element of the list
|
* value within a list. It sequentially checks each element of the list
|
||||||
* for the target value until a match is found or until all the elements
|
* for the target value until a match is found or until all the elements
|
||||||
* have been searched.
|
* have been searched.
|
||||||
*/
|
*/
|
||||||
function SearchArray(searchNum, ar) {
|
function SearchArray(searchNum, ar) {
|
||||||
var position = Search(ar, searchNum);
|
var position = Search(ar, searchNum);
|
||||||
if (position != -1) {
|
if (position != -1) {
|
||||||
|
@ -1,8 +1,8 @@
|
|||||||
/*
|
/*
|
||||||
* A simple helper function that checks, if the array is
|
* A simple helper function that checks, if the array is
|
||||||
* sorted in ascending order.
|
* sorted in ascending order.
|
||||||
*/
|
*/
|
||||||
Array.prototype.isSorted = function() {
|
Array.prototype.isSorted = function () {
|
||||||
|
|
||||||
let length = this.length;
|
let length = this.length;
|
||||||
|
|
||||||
@ -19,11 +19,11 @@ Array.prototype.isSorted = function() {
|
|||||||
};
|
};
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* A simple helper function to shuffle the array randomly in place.
|
* A simple helper function to shuffle the array randomly in place.
|
||||||
*/
|
*/
|
||||||
Array.prototype.shuffle = function() {
|
Array.prototype.shuffle = function () {
|
||||||
|
|
||||||
for (let i = this.length -1; i; i--) {
|
for (let i = this.length - 1; i; i--) {
|
||||||
let m = Math.floor(Math.random() * i);
|
let m = Math.floor(Math.random() * i);
|
||||||
let n = this[i - 1];
|
let n = this[i - 1];
|
||||||
this[i - 1] = this[m];
|
this[i - 1] = this[m];
|
||||||
@ -33,13 +33,13 @@ Array.prototype.shuffle = function() {
|
|||||||
};
|
};
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Implementation of the bogosort algorithm. This sorting algorithm randomly
|
* Implementation of the bogosort algorithm. This sorting algorithm randomly
|
||||||
* rearranges the array until it is sorted.
|
* rearranges the array until it is sorted.
|
||||||
* For more information see: https://en.wikipedia.org/wiki/Bogosort
|
* For more information see: https://en.wikipedia.org/wiki/Bogosort
|
||||||
*/
|
*/
|
||||||
function bogoSort(items) {
|
function bogoSort(items) {
|
||||||
|
|
||||||
while(!items.isSorted()){
|
while (!items.isSorted()) {
|
||||||
items.shuffle()
|
items.shuffle()
|
||||||
}
|
}
|
||||||
return items;
|
return items;
|
||||||
|
@ -1,10 +1,10 @@
|
|||||||
/*
|
/*
|
||||||
* Wiggle sort sorts the array into a wave like array.
|
* Wiggle sort sorts the array into a wave like array.
|
||||||
* An array ‘arr[0..n-1]’ is sorted in wave form if arr[0] >= arr[1] <= arr[2] >= arr[3] <= arr[4] >= …..
|
* An array ‘arr[0..n-1]’ is sorted in wave form if arr[0] >= arr[1] <= arr[2] >= arr[3] <= arr[4] >= …..
|
||||||
*
|
*
|
||||||
*/
|
*/
|
||||||
|
|
||||||
Array.prototype.wiggleSort = function() {
|
Array.prototype.wiggleSort = function () {
|
||||||
for (let i = 0; i < this.length; ++i) {
|
for (let i = 0; i < this.length; ++i) {
|
||||||
const shouldNotBeLessThan = i % 2;
|
const shouldNotBeLessThan = i % 2;
|
||||||
const isLessThan = this[i] < this[i + 1];
|
const isLessThan = this[i] < this[i + 1];
|
||||||
|
26
maths/abs.js
Normal file
26
maths/abs.js
Normal file
@ -0,0 +1,26 @@
|
|||||||
|
/*
|
||||||
|
author: PatOnTheBack
|
||||||
|
license: GPL-3.0 or later
|
||||||
|
|
||||||
|
Modified from:
|
||||||
|
https://github.com/TheAlgorithms/Python/blob/master/maths/abs.py
|
||||||
|
|
||||||
|
This script will find the absolute value of a number.
|
||||||
|
|
||||||
|
More about absolute values:
|
||||||
|
https://en.wikipedia.org/wiki/Absolute_value
|
||||||
|
*/
|
||||||
|
|
||||||
|
function abs_val(num) {
|
||||||
|
// Find absolute value of `num`.
|
||||||
|
"use strict";
|
||||||
|
if (num < 0) {
|
||||||
|
return -num
|
||||||
|
}
|
||||||
|
// Executes if condition is not met.
|
||||||
|
return num
|
||||||
|
}
|
||||||
|
|
||||||
|
// Run `abs` function to find absolute value of two numbers.
|
||||||
|
console.log("The absolute value of -34 is " + abs_val(-34));
|
||||||
|
console.log("The absolute value of 34 is " + abs_val(34));
|
30
maths/average_mean.js
Normal file
30
maths/average_mean.js
Normal file
@ -0,0 +1,30 @@
|
|||||||
|
/*
|
||||||
|
author: PatOnTheBack
|
||||||
|
license: GPL-3.0 or later
|
||||||
|
|
||||||
|
Modified from:
|
||||||
|
https://github.com/TheAlgorithms/Python/blob/master/maths/average.py
|
||||||
|
|
||||||
|
This script will find the average (mean) of an array of numbers.
|
||||||
|
|
||||||
|
More about mean:
|
||||||
|
https://en.wikipedia.org/wiki/Mean
|
||||||
|
*/
|
||||||
|
|
||||||
|
function mean(nums) {
|
||||||
|
"use strict";
|
||||||
|
var sum = 0;
|
||||||
|
var avg;
|
||||||
|
|
||||||
|
// This loop sums all values in the 'nums' array.
|
||||||
|
nums.forEach(function (current) {
|
||||||
|
sum += current;
|
||||||
|
});
|
||||||
|
|
||||||
|
// Divide sum by the length of the 'nums' array.
|
||||||
|
avg = sum / nums.length;
|
||||||
|
return avg;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Run `mean` Function to find average of a list of numbers.
|
||||||
|
console.log(mean([2, 4, 6, 8, 20, 50, 70]));
|
52
maths/factorial.js
Normal file
52
maths/factorial.js
Normal file
@ -0,0 +1,52 @@
|
|||||||
|
/*
|
||||||
|
author: PatOnTheBack
|
||||||
|
license: GPL-3.0 or later
|
||||||
|
|
||||||
|
Modified from:
|
||||||
|
https://github.com/TheAlgorithms/Python/blob/master/maths/factorial_python.py
|
||||||
|
|
||||||
|
This script will find the factorial of a number provided by the user.
|
||||||
|
|
||||||
|
More about factorials:
|
||||||
|
https://en.wikipedia.org/wiki/factorial
|
||||||
|
*/
|
||||||
|
|
||||||
|
"use strict";
|
||||||
|
|
||||||
|
function calc_range(num) {
|
||||||
|
// Generate a range of numbers from 1 to `num`.
|
||||||
|
var i = 1;
|
||||||
|
var range = [];
|
||||||
|
while (i <= num) {
|
||||||
|
range.push(i);
|
||||||
|
i += 1;
|
||||||
|
}
|
||||||
|
return range;
|
||||||
|
}
|
||||||
|
|
||||||
|
function calc_factorial(num) {
|
||||||
|
var factorial;
|
||||||
|
var range = calc_range(num);
|
||||||
|
|
||||||
|
// Check if the number is negative, positive, null, undefined, or zero
|
||||||
|
if (num < 0) {
|
||||||
|
return "Sorry, factorial does not exist for negative numbers.";
|
||||||
|
}
|
||||||
|
if (num === null || num === undefined) {
|
||||||
|
return "Sorry, factorial does not exist for null or undefined numbers.";
|
||||||
|
}
|
||||||
|
if (num === 0) {
|
||||||
|
return "The factorial of 0 is 1.";
|
||||||
|
}
|
||||||
|
if (num > 0) {
|
||||||
|
factorial = 1;
|
||||||
|
range.forEach(function (i) {
|
||||||
|
factorial = factorial * i;
|
||||||
|
});
|
||||||
|
return "The factorial of " + num + " is " + factorial;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// Run `factorial` Function to find average of a list of numbers.
|
||||||
|
var num = prompt("Enter a number: ");
|
||||||
|
alert(calc_factorial(num));
|
38
maths/find_lcm.js
Normal file
38
maths/find_lcm.js
Normal file
@ -0,0 +1,38 @@
|
|||||||
|
/*
|
||||||
|
author: PatOnTheBack
|
||||||
|
license: GPL-3.0 or later
|
||||||
|
|
||||||
|
Modified from:
|
||||||
|
https://github.com/TheAlgorithms/Python/blob/master/maths/find_lcm.py
|
||||||
|
|
||||||
|
More about LCM:
|
||||||
|
https://en.wikipedia.org/wiki/Least_common_multiple
|
||||||
|
*/
|
||||||
|
|
||||||
|
"use strict";
|
||||||
|
|
||||||
|
// Find the LCM of two numbers.
|
||||||
|
function find_lcm(num_1, num_2) {
|
||||||
|
var max_num;
|
||||||
|
var lcm;
|
||||||
|
// Check to see whether num_1 or num_2 is larger.
|
||||||
|
if (num_1 > num_2) {
|
||||||
|
max_num = num_1;
|
||||||
|
} else {
|
||||||
|
max_num = num_2;
|
||||||
|
}
|
||||||
|
lcm = max_num;
|
||||||
|
|
||||||
|
while (true) {
|
||||||
|
if ((lcm % num_1 === 0) && (lcm % num_2 === 0)) {
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
lcm += max_num;
|
||||||
|
}
|
||||||
|
return lcm;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Run `find_lcm` Function
|
||||||
|
var num_1 = 12;
|
||||||
|
var num_2 = 76;
|
||||||
|
console.log(find_lcm(num_1, num_2));
|
Reference in New Issue
Block a user