D24972: Keep cumulated error negligible for rapidly increasing functions

[Yuri Chornoivan]

yurchor added a comment.


  Just some considerations:
  
  1. dx ~ (x_max-x_min)/viewport_width (about 0.001 for relatively low values of x).
  2. Error for Simpson's rule (Runge-Kutta method degrades to this rule in case of y'(x)=f(x) integration) is f^(4)(\xi)*dx^5/2880.
  3. To have cumulative error less than 1 for a viewport width 1000 it is enough to satisfy f^(4)(\xi)*dx^5/2880 < 0.001.
  4. If f^(4)(x) is of dy/dx^4 order so it is enough to multiply it with dx^2 to approximately satisfy 3. under the above-mentioned conditions.

REPOSITORY
  R334 KmPlot

REVISION DETAIL
  https://phabricator.kde.org/D24972

To: yurchor, #kde_edu
Cc: aacid, cfeck, kde-edu, narvaez, apol
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