Package Exports
- quadratic-roots
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Readme
quadratic-roots
Compute the real roots of a quadratic equation in a numerically stable manner
Introduction
In floating point arithmetic, the naive method for determining the roots of a quadratic equation ("x equals negative b, plus or minus etc.") may lead to severe cancellation and an inaccurate result.
Sample usage:
var roots = require('quadratic-roots')
roots(0,0,0) // --> []
roots(0,0,6) // --> []
roots(0,2,6) // --> [-3]
roots(1,1,-12) // --> [-4,3]
roots(1,-4,4) // --> [2,2]
roots(1,0,1) // --> []Install
$ npm install quadratic-rootsAPI
require('quadratic-roots')( a, b, c )
Compute the roots of the polynomial ax^2 + bx + c = 0.
Returns
- If no roots, returns an empty array
[] - If a linear equation, returns one root
- If a parabola with no real roots, returns an empty array
- If a parabola with one root multiplicity 2, returns an array with the same root twice
- Otherwise returns an array with two real roots
Credits
(c) 2015 Ricky Reusser. MIT License