poly-mult-fft

poly-mult-fft

Multiplies two polynomials together using an FFT.

Example

Real polynomial

Compute (1 + 2*x) * (1 + x^2):

var mult = require("poly-mult-fft")
console.log(mult([1, 2], [1, 0, 1]))

Output

[1, 2, 1, 2]

Complex polynomial

Compute (i + (1+3i)*x) * (2 + 5i * x^2):

var mult = require("poly-mult-fft")
console.log(mult( [[0, 1], [1, 3]],
                  [[2, 0, 0], [0, 0, 5]] ))

Output

[[0, 2, 5, 15],
 [2, 6, 0, 5]]

Install

Install using npm:

npm install poly-mult-fft

API

require("poly-mult-fft")(a, b)

Multiplies two polynomials together.

• a is the first polynomial
• b is the second polynomial

Supports both real and complex valued polynomials. To handle complex data, you should pass in a pair of coefficients

Returns: The product of the two polynomials

Time Complexity: O((a.length + b.length) * log(a.length + b.length))

License

(c) 2013 Mikola Lysenko. MIT License