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arbenede avatar arbenede commented on August 30, 2024

I made a few more tests:

  1. I run the same problem with the MATLAB code by Cousins and Vempala, obtaining a very similar value for the volume (0.0204) (???)
  2. I ran vol only on the base of the prism, getting as expected the same value (height=1)
  3. I ran vol in sampling mode on the base of the prism and verified that it is sampling correctly (at least in this 2D subproblem)
  4. I have re-scaled all the coordinates (this is easy to do since the base of the prism is the Voronoi cell of a lattice centered at the origin and the prism extends symmetrically in the Z dimension). The estimated volumes scales expected but the result is still off by a factor of 2.

It looks like sampling is working, so maybe there is some problem with the rounding/sandwiching steps of the algorithms?

from volesti.

vissarion avatar vissarion commented on August 30, 2024

You probably computed the exact volume incorrectly or you have some typo in you input file. Using vinci with your ine file I computed 2.037424855427e-02 with is pretty close to the numbers you computed above with our package. So if you agree I am closing the issue.

from volesti.

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