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horner

1.0.0
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  • License MIT

Evaluates polynomial

Package Exports

  • horner

This package does not declare an exports field, so the exports above have been automatically detected and optimized by JSPM instead. If any package subpath is missing, it is recommended to post an issue to the original package (horner) to support the "exports" field. If that is not possible, create a JSPM override to customize the exports field for this package.

Readme

horner

Evaluates polynomials using Horner's rule.

build status

Example

Real polynomial

Evaluate the polynomial 1 + 2 * x^2 at x = 2:

var horner = require("horner")

console.log(horner([1, 0, 2], 2.0))

Output

9

Complex polynomial

Evaluate the polynomial 2 - 3i * x + (4 + 5i)*x^2 at x = 1+2i:

var horner = require("horner")

console.log(horner([[2, 0, 4]     //Real coefficients
                  , [0, -3, 5]]   //Imaginary coefficients
                  , [1, 2]))

Output

[-24,-2]

Install

Install using npm:

npm install horner

API

require("horner")(poly, z)

Evaluates the polynomial at the point z

  • poly is the coefficients of the polynomial arranged in increasing degree. If complex, is a pair of arrays, the first representing the real coefficients and the second representing the imaginary coefficients.
  • z is the point to evaluate the polynomial at. Either a scalar for a real valued function or a pair for a complex number.

Returns: A scalar for real results, a pair for complex results

Time Complexity: O(poly.length)

License

(c) 2013 Mikola Lysenko. MIT License