# Polynomials

## Usage

<pre><code>
require 'polynomials'
  require 'gnuplot'
  include Polynomials


  polynomial = Polynomial.parse(ARGV[0])

  points =  polynomial.roots | polynomial.local_extrema | polynomial.inflection_points

  max_x =  points.max_by(&amp;:x).x
  min_x =  points.min_by(&amp;:x).x

  start = (min_x - 0.1)
  stop = (max_x + 0.1)

  x = start
  data_x,data_y = [],[]
  while x &lt; stop
    data_x &lt;&lt; x
    data_y &lt;&lt; polynomial.(x)
    x += 0.005
  end

  Gnuplot.open do |gp|
    Gnuplot::Plot.new(gp) do |plot|
      plot.xrange &quot;[#{start}:#{stop}]&quot;
      plot.title  &quot;Polynomial&quot;
      plot.ylabel &quot;f(x)&quot;
      plot.xlabel &quot;x&quot;
      plot.grid
      plot.data &lt;&lt; Gnuplot::DataSet.new( [data_x,data_y] ) do |ds|
        ds.with = &quot;lines&quot;
        ds.linewidth = 0.1
        ds.title =  &quot;f(x) = #{polynomial}&quot;
      end

      [:inflection_point,:root, :maximum, :minimum].each do |kind_of_point|
        selected_points = points.select(&amp;:&quot;#{kind_of_point}?&quot;)
        plot.data &lt;&lt; Gnuplot::DataSet.new([selected_points.map(&amp;:x), selected_points.map(&amp;:y)]) do |ds|
          ds.with = &quot;points&quot;
          ds.linewidth = 2
          ds.title = kind_of_point.to_s.pluralize.titleize
        end
      end
    end
  end
</code></pre>

### Bash Command
<pre><code> % ruby examples/plot_only_mutual_data.rb '20.432 x^4 - 17.75 x^3 - 20x^2 + 5 x -50'</code></pre>

### Output:
<img src="https://img.skitch.com/20110515-cwgqkt2mnbeit3c9y5djsp1cjh.jpg">

## Contributing to polynomials

* Check out the latest master to make sure the feature hasn't been implemented or the bug hasn't been fixed yet
* Check out the issue tracker to make sure someone already hasn't requested it and/or contributed it
* Fork the project
* Commit and push until you are happy with your contribution
* Make sure to add tests for it. This is important so I don't break it in a future version unintentionally.
* Please try not to mess with the Rakefile, version, or history. If you want to have your own version, or is otherwise necessary, that is fine, but please isolate to its own commit so I can cherry-pick around it.

## Copyright

Copyright (c) 2011 Manuel Korfmann. See LICENSE.txt for
further details.