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added fibonacci using formula along with test cases (#1358)

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* added fibonacci using formula along with test cases

* updated the changes

* added jest's each in test cases

* added jest's each for testing

* returned inline value

* removed redundant comment

* hoisted the variables

* Use shorthand

* considered adding resource of the formula

---------

Co-authored-by: madhuredra <madhuredra.tiwari@zemosolabs.com>
Co-authored-by: Lars Müller <34514239+appgurueu@users.noreply.github.com>
This commit is contained in:
Madhurendra Nath Tiwari
2023-09-19 20:29:34 +05:30
committed by GitHub
parent 9757e2bee3
commit 268796b0e8
2 changed files with 20 additions and 1 deletions
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11
Maths/Fibonacci.js
View File

@ -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
Maths/test/Fibonacci.test.js
View File

@ -4,7 +4,8 @@ import {
FibonacciIterative,
FibonacciGenerator,
FibonacciRecursive,
FibonacciMatrixExpo
FibonacciMatrixExpo,
FibonacciUsingFormula
} from '../Fibonacci'
describe('Fibonacci', () => {
@ -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)
})
})