On 2011-09-15 21:55, Poul-Henning Kamp wrote:
Actually, the _really_ interesting thing is that they resort to using
a cos() function to herd the NTPD pll's in their system, but that
is more a testimony to how bogus that PLL code really is.

   The correction term is (1 - cos(t))/2 = sin(t/2)^2,
   hence Google's modification of UTC is four times
   continuously differentiable.

   The minimal rate is
      d(TAI)*(1 - pi/2/(window length in seconds))
   hence the slowdown is 57 % larger than with the
   piecewise linear method (as used by Markus Kuhn's
   SLS) over the same window. The piecewise linear
   method gives a time scale that is continuous but
   not differentiable.

   Michael Deckers.


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