Skip to content

added fibonacci using formula along with test cases #1358

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.

Sign up for GitHub

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 9 commits into from
Sep 19, 2023
Merged

added fibonacci using formula along with test cases #1358

Show file tree
Hide file tree
Changes from all commits
Commits
Show all changes
9 commits
Select commit Hold shift + click to select a range
186dcb7
added fibonacci using formula along with test cases
Sep 11, 2023
29ca348
updated the changes
Sep 11, 2023
8ee41dc
added jest's each in test cases
Sep 11, 2023
dad7ad2
added jest's each for testing
Sep 11, 2023
31e2b38
returned inline value
Sep 11, 2023
363cffe
removed redundant comment
Sep 11, 2023
c0a2057
hoisted the variables
Sep 11, 2023
cc93a8b
Use shorthand
appgurueu Sep 11, 2023
998e02e
considered adding resource of the formula
Sep 19, 2023
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
11 changes: 11 additions & 0 deletions Maths/Fibonacci.js
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -187,9 +187,20 @@ const FibonacciMatrixExpo = (num) => {
return F[0][0] * (isNeg ? (-ONE) ** (num + ONE) : ONE)
}

/*
Resource : https://math.hmc.edu/funfacts/fibonacci-number-formula/
*/

const sqrt5 = Math.sqrt(5)
const phi = (1 + sqrt5) / 2
const psi = (1 - sqrt5) / 2

const FibonacciUsingFormula = n => Math.round((phi ** n - psi ** n) / sqrt5)

export { FibonacciDpWithoutRecursion }
export { FibonacciIterative }
export { FibonacciGenerator }
export { FibonacciRecursive }
export { FibonacciRecursiveDP }
export { FibonacciMatrixExpo }
export { FibonacciUsingFormula }
10 changes: 9 additions & 1 deletion Maths/test/Fibonacci.test.js
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -4,7 +4,8 @@ import {
FibonacciIterative,
FibonacciGenerator,
FibonacciRecursive,
FibonacciMatrixExpo
FibonacciMatrixExpo,
FibonacciUsingFormula
} from '../Fibonacci'

describe('Fibonacci', () => {
Expand Down Expand Up @@ -95,4 +96,11 @@ describe('Fibonacci', () => {
expect(FibonacciMatrixExpo(-5n)).toBe(5n)
expect(FibonacciMatrixExpo(-6n)).toBe(-8n)
})
it.each([
[0, 0],
[1, 1],
[15, 610]
])('should calculate the correct Fibonacci number for n = %i', (n, expected) => {
expect(FibonacciUsingFormula(n)).toBe(expected)
})
})