Wishlist.txt

* Upgrade to newgem 1.5.3 and improve the website generated by 'rake website'

* Exclude zero (null) polynomials from Polynomial#derivatives
  * change tests accordingly

* Multivariate class
  * document it better
  * make its interface more clear and intuitive
  * extend its functionality to make it rivals Polynomial (#to_s, etc)
    * see commented test stuff in test_multivariate.rb

* Allow Polynomial#to_s order to be reversed (e.g., x^2+1 instead of 1+x^2)

* Let the user specify a precision in substitute in case of BigDecimal argument.

* Extend .parse_term so that it can handle:
  * rational numbers in Rational#to_s notation (e.g. '(1/2)')
  * complex numbers in Complex#to_s notation (e.g. '(1+1i)' and '(2 + 3i)')
  * scientific notated numbers automatically outside the Float range, parsing them as BigDecimal.

* Write comments/RDoc examples with BigDecimal coefficients polynomials

* Make .from_string and #to_s more compatible (such that that p=Polynomial.from_string(q.to_s) always verify p.equal_in_epsilon(q, eps).
  - Currently there is an issue when one or more of the coefficients are BigDecimal, because BigDecimal#to_s uses scientific notation.
  - Possible solution: let .from_string digest numbers in scientific notation.

* Newton method root finding (also for non-polynomial functions, using numerical derivative)

* Compare to poly-ruby, in terms of features, precision, speed and interface

* FFT-based polynomial multiplication

* Update comments/documentation so that Chebyshev/Legendre/Ultraspherical time complexity is dependent on polynomial multiplication complexity (FFT multiplication will thus make them faster)