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    Golden Section Search

    A line search technique to help you find the minimum or maximum of a function. I've adapted the version from wikipedia to support async functions as well as synchronous ones :)

    How to use

    npm install gss

    The arguments are a bit bad, but here's how you'd use it:

    gss(asyncFunctionToMinimize, lowerBound, middleNumber, upperBound, precision, callback(err, min))
    • asyncFunctionToMinimize(x, cb): takes one argument, x, for which you are finding the argmax, and a callback that it calls when finished. It should call its callback like this: cb(null, result).
    • lowerBound: a number you think makes a lower bound to the solution
    • middleNumber: any number between the upper and lower bounds
    • upperBound: a number you think makes an upper bound to the solution
    • callback(err, min): a function to receive the results of the line search

    The synchronous version takes a function that returns the result, and when it finishes it returns the result, so you don't need a callback. See the example below.

    Async example:

    var gss = require('gss').gss
    // f(x) = x^2
    var f = function(x, cb) { cb(null, Math.pow(x, 2)); } 
    gss(f, -10, -7, 1, Math.sqrt(1e-10), function(err, min) {
      // Now we have the min!
      console.log(min, 'this should be prettty close to zero.');

    Sync example (you bad bad noder ;):

      var gssSync = require('gss').gssSync
      var f = function(x) { return Math.pow(x, 2); } // f(x) = x^2
      var min = gssSync(_.memoize(f), -100, -50, 100, Math.sqrt(1e-10))
      console.log(min, 'should be pretty darn close to zero.');


    I recommend you use _.memoize to make the minimization go as quickly as possible. If you'd like to maximize instead, have your function multiply by -1 before returning.


    • tests
    • automatically choose the middleNumber, to simplify API




    npm i gss

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