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Comments (34)

  • emil-lp
    I read your arxiv paper yesterday (or was it the day before).Do you think this can be used to speed up the algebraic method for k-path?If so, you should enter next years PACE challenge.
  • pvillano
    This is super cool. I learned a lot playing with the demo. I only knew Horner and Estrin, but I think I've gotten a grasp on most of them.One small change I'd recommend is for the graph visualization, have a separate source node for each x, x^2, x^4 used. A single x source clutters the graph and hides the structure.
  • IsTom
    Pretty cool, especially in finite fields. Though coefficients seem to blow up pretty quick in Q?
  • voxelghost
    It keeps flipping back to 'monic' from e.g. 'ln(1+x)' when switching between algorithms, and then seems to lock to 'monic'? (Am I missing something?)Also I am curious, in your version vs. horner , how do both algorithms map onto number of fmadd operations?
  • huhtenberg
    * "monic" = the leading coefficient is 1
  • throwaway81523
    If you're going to preprocess the polynomial, maybe you want to evaluate it at many different points. But then why not use the FFT?
  • anon
    undefined
  • vlovich123
    Would this be applicable to fast hashes like WyHash and xxh3 or are those not using polynomials? Is this mainly for faster cryptographic hashes?
  • aetherspawn
    I guess it’s not faster than using a table for CRC8?
  • thomasahle
    See also discussions here https://www.reddit.com/r/programming/comments/1wbgcke/commen... on how the actual math works out.
  • gowld
    From the abstract, a name that many on HN would recognize:> We also give an injective polynomial construction for universal hashing that uses N multiplications to hash 2N values with a single random key. This improves the best previous construction by Daniel J. Bernstein (this http URL).
  • gowld
    What is the tradeoff between multiplication and addition?
  • devenquan
    [flagged]