-
-
Notifications
You must be signed in to change notification settings - Fork 5.7k
Add an algorithm to find Taylor series approximation of exponential f… #1160
New issue
Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.
By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.
Already on GitHub? Sign in to your account
Merged
raklaptudirm
merged 7 commits into
TheAlgorithms:master
from
prashalruchiranga:prashal-5
Oct 20, 2022
Merged
Changes from all commits
Commits
Show all changes
7 commits
Select commit
Hold shift + click to select a range
f8dc85c
Add an algorithm to find Taylor series approximation of exponential f…
prashalruchiranga 7b4ff6e
Add checks for invalid inputs
prashalruchiranga 418ac6b
make exponentialFunction iterative using a for loop
prashalruchiranga 4c9a52a
Update ExponentialFunction.js
prashalruchiranga b85a2ad
Remove reusing the factorial implementation
prashalruchiranga 587a6e2
Update ExponentialFunction.js
prashalruchiranga d3e646a
Update ExponentialFunction.js
prashalruchiranga File filter
Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,25 @@ | ||
/** | ||
* @function exponentialFunction | ||
* @description Calculates the n+1 th order Taylor series approximation of exponential function e^x given n | ||
* @param {Integer} power | ||
* @param {Integer} order - 1 | ||
* @returns exponentialFunction(2,20) = 7.3890560989301735 | ||
* @url https://en.wikipedia.org/wiki/Exponential_function | ||
*/ | ||
function exponentialFunction (power, n) { | ||
let output = 0 | ||
let fac = 1 | ||
if (isNaN(power) || isNaN(n) || n < 0) { | ||
throw new TypeError('Invalid Input') | ||
} | ||
if (n === 0) { return 1 } | ||
for (let i = 0; i < n; i++) { | ||
output += (power ** i) / fac | ||
fac *= (i + 1) | ||
} | ||
return output | ||
} | ||
|
||
export { | ||
exponentialFunction | ||
} |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,16 @@ | ||
import { exponentialFunction } from '../ExponentialFunction' | ||
|
||
describe('Tests for exponential function', () => { | ||
it('should be a function', () => { | ||
expect(typeof exponentialFunction).toEqual('function') | ||
}) | ||
|
||
it('should throw error for invalid input', () => { | ||
expect(() => exponentialFunction(2, -34)).toThrow() | ||
}) | ||
|
||
it('should return the exponential function of power of 5 and order of 21', () => { | ||
const ex = exponentialFunction(5, 20) | ||
expect(ex).toBe(148.4131078683383) | ||
}) | ||
}) |
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
Uh oh!
There was an error while loading. Please reload this page.