<div dir="ltr"><div dir="ltr">On Wed, Nov 10, 2021 at 3:08 PM Eric Chamberland <<a href="mailto:Eric.Chamberland@giref.ulaval.ca">Eric.Chamberland@giref.ulaval.ca</a>> wrote:<br></div><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
  
    
  
  <div>
    <p>Hi Matthew,</p>
    <p>we are continuing our developments around the overlap (funny to
      say... ) and we have a question about the "adjacency" used.</p>
    <p>It is said into the documentation of DMPlexDistributeOverlap
      that:</p>
    <p>"The user can control the definition of adjacency for the mesh
      using DMSetAdjacency(). They should choose the combination
      appropriate for the function representation on the mesh."</p>
    <p>We expected that this could influence whether the overlap
      computed includes cells that touch a domain by only one vertex for
      example.<br>
    </p>
    <p>But we tried "all" combinations of useCone and useClosure on each
      DM we create in for the computation of the overlap (as in ex44.c
      we shared with you) but the computed overlap is always the same!</p>
    <p>However, we have not understood which "field" number to pass, so
      we used both PETSC_DEFAULT and DMSetBasicAdjacency but it makes no
      differences...</p>
    <p>Any clue what's wrong?</p></div></blockquote><div>Okay, so the PETSC_DEFAULT one is what is used for topology. There  are two separate uses for adjacency info.</div><div>First, for this kind of topological extension, and the second is for calculating Jacobians. You should be able to see</div><div>the difference between FEM and FVM in just the case of a 2x2 mesh where each process gets 1 cell. With FEM,</div><div>the overlap is the whole mesh, whereas with FVM it leaves out the diagonal partner.</div><div><br></div><div>  Thanks,</div><div><br></div><div>     Matt</div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div>
    <p>Thanks,</p>
    <p>Eric</p>
    <p><br>
    </p>
    <div>On 2021-11-03 7:41 a.m., Matthew
      Knepley wrote:<br>
    </div>
    <blockquote type="cite">
      
      <div dir="ltr">
        <div dir="ltr">On Tue, Nov 2, 2021 at 10:27 PM Eric Chamberland
          <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
          wrote:<br>
        </div>
        <div class="gmail_quote">
          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
            <div>
              <p>Hi Matthew,</p>
              <p>yes, it all works now!</p>
              <p>I modified the example to do a NaturalToGlobal then a
                GlobalToNatural and test if we have the good result...</p>
              <p>The test would just need that we "force" the computed
                partition to a given result, then we could check the
                result of the NaturalToGlobal independently of the
                partitioner...</p>
              <p>Thanks a lot!</p>
            </div>
          </blockquote>
          <div>No problem. Thanks for generating a great test. I will
            get this into the CI tonight.</div>
          <div><br>
          </div>
          <div>  Thanks,</div>
          <div><br>
          </div>
          <div>     Matt </div>
          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
            <div>
              <p>Eric</p>
              <p><br>
              </p>
              <div>On 2021-11-02 5:16 a.m., Matthew Knepley wrote:<br>
              </div>
              <blockquote type="cite">
                <div dir="ltr">
                  <div dir="ltr">On Mon, Nov 1, 2021 at 5:24 PM Eric
                    Chamberland <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
                    wrote:<br>
                  </div>
                  <div class="gmail_quote">
                    <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                      <div>
                        <p>Hi Matthew,</p>
                        <p>ok, good news then! :)<br>
                        </p>
                        <p>Meanwhile, I tested it the "other way" with
                          DMPlexGlobalToNaturalBegin/End and it does not
                          give a "sensed" result neither.  <br>
                        </p>
                        <p>Probably it does something like
                          "GlobalToSequential" too?</p>
                      </div>
                    </blockquote>
                    <div>I am not sure how it worked before, but I think
                      I have it fixed. I get the output you expect for
                      the test. I force-pushed the branch<br>
                    </div>
                    <div>so you will have to check it out again.</div>
                    <div><br>
                    </div>
                    <div>  Thanks!</div>
                    <div><br>
                    </div>
                    <div>     Matt</div>
                    <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                      <div>
                        <p>Thanks!</p>
                        <p>Eric</p>
                        <p><br>
                        </p>
                        <div>On 2021-11-01 3:25 p.m., Matthew Knepley
                          wrote:<br>
                        </div>
                        <blockquote type="cite">
                          <div dir="ltr">
                            <div dir="ltr">On Sun, Oct 31, 2021 at 10:07
                              AM Eric Chamberland <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
                              wrote:<br>
                            </div>
                            <div class="gmail_quote">
                              <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                <div>
                                  <p>Hi Matthew,</p>
                                  <p>we do not know if
                                    DMPlexNaturalToGlobalBegin/End is
                                    buggy or if it is our comprehension
                                    of what it should do that is
                                    wrong...<br>
                                  </p>
                                  <p>Would you just check if what we try
                                    to do from line 313 to 356 is good
                                    or wrong?</p>
                                  <p>The expected result is that the
                                    global vector "lGlobalVec" contains
                                    the element numbers from the initial
                                    partition that have been put into
                                    "lNatVec".<br>
                                  </p>
                                  <p>Thanks a lot for any insights!!</p>
                                </div>
                              </blockquote>
                              <div>Okay, I have found the problem.I
                                confess to not actually looking very
                                closely at the implementation before.
                                GlobalToNatural was assuming that</div>
                              <div>the "natural" was also sequential,
                                and looking at it all the tests are
                                eq-to-parallel distribution. I need to
                                fix it for a parallel natural state.
                                Hopefully</div>
                              <div>it will not take me long.</div>
                              <div><br>
                              </div>
                              <div>  Thanks,</div>
                              <div><br>
                              </div>
                              <div>     Matt </div>
                              <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                <div>
                                  <p>Eric<br>
                                  </p>
                                  <p><br>
                                  </p>
                                  <div>On 2021-10-27 2:32 p.m., Eric
                                    Chamberland wrote:<br>
                                  </div>
                                  <blockquote type="cite">
                                    <p>Hi Matthew,</p>
                                    <p>we continued the example.  Now it
                                      must be our misuse of PETSc that
                                      produced the wrong result.</p>
                                    <p>As stated into the code:</p>
                                    <p>// The call to
                                      DMPlexNaturalToGlobalBegin/End
                                      does not produce our expected
                                      result...<br>
                                        // In lGlobalVec, we expect to
                                      have:<br>
                                        /*<br>
                                         * Process [0]<br>
                                         * 2.<br>
                                         * 4.<br>
                                         * 8.<br>
                                         * 3.<br>
                                         * 9.<br>
                                         * Process [1]<br>
                                         * 1.<br>
                                         * 5.<br>
                                         * 7.<br>
                                         * 0.<br>
                                         * 6.<br>
                                         *<br>
                                         * but we obtained:<br>
                                         *<br>
                                         * Process [0]<br>
                                         * 2.<br>
                                         * 4.<br>
                                         * 8.<br>
                                         * 0.<br>
                                         * 0.<br>
                                         * Process [1]<br>
                                         * 0.<br>
                                         * 0.<br>
                                         * 0.<br>
                                         * 0.<br>
                                         * 0.<br>
                                         */</p>
                                    <p>(see attached ex44.c)</p>
                                    <p>Thanks,</p>
                                    <p>Eric<br>
                                    </p>
                                    <div>On 2021-10-27 1:25 p.m., Eric
                                      Chamberland wrote:<br>
                                    </div>
                                    <blockquote type="cite">
                                      <p>Great!</p>
                                      <p>Thanks Matthew, it is working
                                        for me up to that point!</p>
                                      <p>We are continuing the ex44.c
                                        and forward it to you at the
                                        next blocking point...</p>
                                      <p>Eric<br>
                                      </p>
                                      <div>On 2021-10-27 11:14 a.m.,
                                        Matthew Knepley wrote:<br>
                                      </div>
                                      <blockquote type="cite">
                                        <div dir="ltr">
                                          <div dir="ltr">On Wed, Oct 27,
                                            2021 at 8:29 AM Eric
                                            Chamberland <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
                                            wrote:<br>
                                          </div>
                                          <div class="gmail_quote">
                                            <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                              <div>
                                                <p>Hi Matthew,</p>
                                                <p>the smallest mesh
                                                  which crashes the code
                                                  is a 2x5 mesh:</p>
                                                <p><img src="cid:17d0b85c094931bce1a1" alt=""></p>
                                                <p>See the modified
                                                  ex44.c</p>
                                                <p>With smaller
                                                  meshes(2x2, 2x4, etc),
                                                  it passes...  But it
                                                  bugs latter when I try
                                                  to use
                                                  DMPlexNaturalToGlobalBegin
                                                  but let's keep that
                                                  other problem for
                                                  later...</p>
                                                <p>Thanks a lot for
                                                  helping digging into
                                                  this! :)</p>
                                              </div>
                                            </blockquote>
                                            <div>I have made a small fix
                                              in this branch</div>
                                            <div><br>
                                            </div>
                                            <div>  <a href="https://gitlab.com/petsc/petsc/-/commits/knepley/fix-plex-g2n" target="_blank">https://gitlab.com/petsc/petsc/-/commits/knepley/fix-plex-g2n</a></div>
                                            <div><br>
                                            </div>
                                            <div>It seems to run for me.
                                              Can you check it?</div>
                                            <div><br>
                                            </div>
                                            <div>  Thanks,</div>
                                            <div><br>
                                            </div>
                                            <div>     Matt</div>
                                            <div> </div>
                                            <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                              <div>
                                                <p>Eric</p>
                                                <p>(sorry if you
                                                  received this for a 
                                                  2nd times, I have
                                                  trouble with my mail)<br>
                                                </p>
                                                <div>On 2021-10-26 4:35
                                                  p.m., Matthew Knepley
                                                  wrote:<br>
                                                </div>
                                                <blockquote type="cite">
                                                  <div dir="ltr">
                                                    <div dir="ltr">On
                                                      Tue, Oct 26, 2021
                                                      at 1:35 PM Eric
                                                      Chamberland <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
                                                      wrote:<br>
                                                    </div>
                                                    <div class="gmail_quote">
                                                      <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                        <div>
                                                          <p>Here is a
                                                          screenshot of
                                                          the partition
                                                          I hard coded
                                                          (top) and
                                                          vertices/element
                                                          numbers
                                                          (down):<br>
                                                          </p>
                                                          <p><img src="cid:17d0b85c094a83f4cb82" alt=""></p>
                                                          <p>I have not
                                                          yet modified
                                                          the ex44.c
                                                          example to
                                                          properly
                                                          assign the
                                                          coordinates...
                                                          <br>
                                                          </p>
                                                          <p>(but I
                                                          would not have
                                                          done it like
                                                          it is in the
                                                          last version
                                                          because the
                                                          sCoords array
                                                          is the global
                                                          array with
                                                          global
                                                          vertices
                                                          number)</p>
                                                          <p>I will have
                                                          time to do
                                                          this
                                                          tomorrow...</p>
                                                          <p>Maybe I can
                                                          first try to
                                                          reproduce all
                                                          this with a
                                                          smaller mesh?<br>
                                                          </p>
                                                        </div>
                                                      </blockquote>
                                                      <div><br>
                                                      </div>
                                                      <div>That might
                                                        make it easier
                                                        to find a
                                                        problem.</div>
                                                      <div><br>
                                                      </div>
                                                      <div>  Thanks!</div>
                                                      <div><br>
                                                      </div>
                                                      <div>     Matt</div>
                                                      <div> </div>
                                                      <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                        <div>
                                                          <p> </p>
                                                          <p>Eric<br>
                                                          </p>
                                                          <div>On
                                                          2021-10-26
                                                          9:46 a.m.,
                                                          Matthew
                                                          Knepley wrote:<br>
                                                          </div>
                                                          <blockquote type="cite">
                                                          <div dir="ltr">Okay,
                                                          I ran it.
                                                          Something
                                                          seems off with
                                                          the mesh.
                                                          First, I
                                                          cannot simply
                                                          explain the
                                                          partition. The
                                                          number of
                                                          shared
                                                          vertices and
                                                          edges
                                                          <div>does not
                                                          seem to come
                                                          from a
                                                          straight cut.
                                                          Second, the
                                                          mesh look
                                                          scrambled on
                                                          output.</div>
                                                          <div><br>
                                                          </div>
                                                          <div>  Thanks,</div>
                                                          <div><br>
                                                          </div>
                                                          <div>    Matt</div>
                                                          </div>
                                                          <br>
                                                          <div class="gmail_quote">
                                                          <div dir="ltr" class="gmail_attr">On Sun, Oct 24, 2021 at 11:49 PM Eric Chamberland
                                                          <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
                                                          wrote:<br>
                                                          </div>
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p>Hi Matthew,</p>
                                                          <p>ok, I
                                                          started back
                                                          from your
                                                          ex44.c example
                                                          and added the
                                                          global array
                                                          of
                                                          coordinates. 
                                                          I just have to
                                                          code the
                                                          creation of
                                                          the local
                                                          coordinates
                                                          now.</p>
                                                          <p>Eric<br>
                                                          </p>
                                                          <div>On
                                                          2021-10-20
                                                          6:55 p.m.,
                                                          Matthew
                                                          Knepley wrote:<br>
                                                          </div>
                                                          <blockquote type="cite">
                                                          <div dir="ltr">
                                                          <div dir="ltr">On
                                                          Wed, Oct 20,
                                                          2021 at 3:06
                                                          PM Eric
                                                          Chamberland
                                                          <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
                                                          wrote:<br>
                                                          </div>
                                                          <div class="gmail_quote">
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p>Hi Matthew,</p>
                                                          <p>we tried to
                                                          reproduce the
                                                          error in a
                                                          simple
                                                          example.</p>
                                                          <p>The context
                                                          is the
                                                          following: We
                                                          hard coded the
                                                          mesh and
                                                          initial
                                                          partition into
                                                          the code (see
                                                          sConnectivity
                                                          and
                                                          sInitialPartition)
                                                          for 2 ranks
                                                          and try to
                                                          create a
                                                          section in
                                                          order to use
                                                          the
                                                          DMPlexNaturalToGlobalBegin
                                                          function to
                                                          retreive our
                                                          initial
                                                          element
                                                          numbers.</p>
                                                          <p>Now the
                                                          call to
                                                          DMPlexDistribute
                                                          give different
                                                          errors
                                                          depending on
                                                          what type of
                                                          component we
                                                          ask the field
                                                          to be
                                                          created.  For
                                                          our objective,
                                                          we would like
                                                          a global field
                                                          to be created
                                                          on elements
                                                          only (like a
                                                          P0
                                                          interpolation).<br>
                                                          </p>
                                                          <p>We now have
                                                          the following
                                                          error
                                                          generated:</p>
                                                          <p>[0]PETSC
                                                          ERROR:
                                                          ---------------------
                                                          Error Message
--------------------------------------------------------------<br>
                                                          [0]PETSC
                                                          ERROR: Petsc
                                                          has generated
                                                          inconsistent
                                                          data<br>
                                                          [0]PETSC
                                                          ERROR:
                                                          Inconsistency
                                                          in indices, 18
                                                          should be 17<br>
                                                          [0]PETSC
                                                          ERROR: See <a href="https://www.mcs.anl.gov/petsc/documentation/faq.html" target="_blank">https://www.mcs.anl.gov/petsc/documentation/faq.html</a>
                                                          for trouble
                                                          shooting.<br>
                                                          [0]PETSC
                                                          ERROR: Petsc
                                                          Release
                                                          Version
                                                          3.15.0, Mar
                                                          30, 2021 <br>
                                                          [0]PETSC
                                                          ERROR: ./bug
                                                          on a  named
                                                          rohan by ericc
                                                          Wed Oct 20
                                                          14:52:36 2021<br>
                                                          [0]PETSC
                                                          ERROR:
                                                          Configure
                                                          options
                                                          --prefix=/opt/petsc-3.15.0_debug_openmpi-4.1.0_gcc7
--with-mpi-compilers=1 --with-mpi-dir=/opt/openmpi-4.1.0_gcc7
                                                          --with-cxx-dialect=C++14
--with-make-np=12 --with-shared-libraries=1 --with-debugging=yes
                                                          --with-memalign=64
--with-visibility=0 --with-64-bit-indices=0 --download-ml=yes
                                                          --download-mumps=yes
--download-superlu=yes --download-hpddm=yes --download-slepc=yes
                                                          --download-superlu_dist=yes
--download-parmetis=yes --download-ptscotch=yes --download-metis=yes
                                                          --download-strumpack=yes
--download-suitesparse=yes --download-hypre=yes
--with-blaslapack-dir=/opt/intel/oneapi/mkl/2021.1.1/env/../lib/intel64
--with-mkl_pardiso-dir=/opt/intel/oneapi/mkl/2021.1.1/env/..
                                                          --with-mkl_cpardiso-dir=/opt/intel/oneapi/mkl/2021.1.1/env/..
--with-scalapack=1
                                                          --with-scalapack-include=/opt/intel/oneapi/mkl/2021.1.1/env/../include
--with-scalapack-lib="-L/opt/intel/oneapi/mkl/2021.1.1/env/../lib/intel64
-lmkl_scalapack_lp64 -lmkl_blacs_openmpi_lp64"<br>
                                                          [0]PETSC
                                                          ERROR: #1
                                                          PetscSFCreateSectionSF()
                                                          at
/tmp/ompi-opt/petsc-3.15.0-debug/src/vec/is/sf/utils/sfutils.c:409<br>
                                                          [0]PETSC
                                                          ERROR: #2
                                                          DMPlexCreateGlobalToNaturalSF()
                                                          at
                                                          /tmp/ompi-opt/petsc-3.15.0-debug/src/dm/impls/plex/plexnatural.c:184<br>
                                                          [0]PETSC
                                                          ERROR: #3
                                                          DMPlexDistribute()
                                                          at
                                                          /tmp/ompi-opt/petsc-3.15.0-debug/src/dm/impls/plex/plexdistribute.c:1733<br>
                                                          [0]PETSC
                                                          ERROR: #4
                                                          main() at
                                                          bug_section.cc:159<br>
                                                          [0]PETSC
                                                          ERROR: No
                                                          PETSc Option
                                                          Table entries<br>
                                                          [0]PETSC
                                                          ERROR:
                                                          ----------------End
                                                          of Error
                                                          Message
                                                          -------send
                                                          entire error
                                                          message to <a href="mailto:petsc-maint@mcs.anl.gov" target="_blank">petsc-maint@mcs.anl.gov</a>----------<br>
                                                          <br>
                                                          </p>
                                                          <p>Hope the
                                                          attached code
                                                          is
                                                          self-explaining,
                                                          note that to
                                                          make it short,
                                                          we have not
                                                          included the
                                                          final part of
                                                          it, just the
                                                          buggy part we
                                                          are
                                                          encountering
                                                          right now...</p>
                                                          <p>Thanks for
                                                          your insights,</p>
                                                          </div>
                                                          </blockquote>
                                                          <div>Thanks
                                                          for making the
                                                          example. I
                                                          tweaked it
                                                          slightly. I
                                                          put in a test
                                                          case that just
                                                          makes a
                                                          parallel 7 x
                                                          10 quad mesh.
                                                          This works</div>
                                                          <div>fine.
                                                          Thus I think
                                                          it must be
                                                          something
                                                          connected with
                                                          the original
                                                          mesh. It is
                                                          hard to get a
                                                          handle on it
                                                          without the
                                                          coordinates.</div>
                                                          <div>Do you
                                                          think you
                                                          could put the
                                                          coordinate
                                                          array in? I
                                                          have added the
                                                          code to load
                                                          them (see
                                                          attached
                                                          file).</div>
                                                          <div><br>
                                                          </div>
                                                          <div>  Thanks,</div>
                                                          <div><br>
                                                          </div>
                                                          <div>   
                                                           Matt </div>
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p>Eric<br>
                                                          </p>
                                                          <div>On
                                                          2021-10-06
                                                          9:23 p.m.,
                                                          Matthew
                                                          Knepley wrote:<br>
                                                          </div>
                                                          <blockquote type="cite">
                                                          <div dir="ltr">
                                                          <div dir="ltr">On
                                                          Wed, Oct 6,
                                                          2021 at 5:43
                                                          PM Eric
                                                          Chamberland
                                                          <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
                                                          wrote:<br>
                                                          </div>
                                                          <div class="gmail_quote">
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p>Hi Matthew,</p>
                                                          <p>we tried to
                                                          use that. 
                                                          Now, we
                                                          discovered
                                                          that:</p>
                                                          <p>1- even if
                                                          we "ask" for
                                                          sfNatural
                                                          creation with
DMSetUseNatural, it is not created because
DMPlexCreateGlobalToNaturalSF looks for a "section": this is not
                                                          documented in
DMSetUseNaturalso we are asking ourselfs: "is this a permanent feature
                                                          or a temporary
                                                          situation?"<br>
                                                          </p>
                                                          </div>
                                                          </blockquote>
                                                          <div>I think
                                                          explaining
                                                          this will help
                                                          clear up a
                                                          lot.</div>
                                                          <div><br>
                                                          </div>
                                                          <div>What the
Natural2Global map does is permute a solution vector into the ordering
                                                          that it would
                                                          have had prior
                                                          to mesh
                                                          distribution.</div>
                                                          <div>Now, in
                                                          order to do
                                                          this
                                                          permutation, I
                                                          need to know
                                                          the original
                                                          (global) data
                                                          layout. If it
                                                          is not
                                                          specified
                                                          _before_
                                                          distribution,
                                                          we</div>
                                                          <div>cannot
                                                          build the
                                                          permutation. 
                                                          The section
                                                          describes the
                                                          data layout,
                                                          so I need it
                                                          before
                                                          distribution.</div>
                                                          <div><br>
                                                          </div>
                                                          <div>I cannot
                                                          think of
                                                          another way
                                                          that you would
                                                          implement
                                                          this, but if
                                                          you want
                                                          something
                                                          else, let me
                                                          know.</div>
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p>2- We then
                                                          tried to
                                                          create a
                                                          "section" in
                                                          different
                                                          manners: we
                                                          took the code
                                                          into the
                                                          example
                                                          petsc/src/dm/impls/plex/tests/ex15.c. 
                                                          However, we
                                                          ended up with
                                                          a segfault:</p>
                                                          <p>corrupted
                                                          size vs.
                                                          prev_size<br>
                                                          [rohan:07297]
                                                          *** Process
                                                          received
                                                          signal ***<br>
                                                          [rohan:07297]
                                                          Signal:
                                                          Aborted (6)<br>
                                                          [rohan:07297]
                                                          Signal code: 
                                                          (-6)<br>
                                                          [rohan:07297]
                                                          [ 0]
/lib64/libpthread.so.0(+0x13f80)[0x7f6f13be3f80]<br>
                                                          [rohan:07297]
                                                          [ 1]
/lib64/libc.so.6(gsignal+0x10b)[0x7f6f109b718b]<br>
                                                          [rohan:07297]
                                                          [ 2]
/lib64/libc.so.6(abort+0x175)[0x7f6f109b8585]<br>
                                                          [rohan:07297]
                                                          [ 3]
/lib64/libc.so.6(+0x7e2f7)[0x7f6f109fb2f7]<br>
                                                          [rohan:07297]
                                                          [ 4]
/lib64/libc.so.6(+0x857ea)[0x7f6f10a027ea]<br>
                                                          [rohan:07297]
                                                          [ 5]
/lib64/libc.so.6(+0x86036)[0x7f6f10a03036]<br>
                                                          [rohan:07297]
                                                          [ 6]
/lib64/libc.so.6(+0x861a3)[0x7f6f10a031a3]<br>
                                                          [rohan:07297]
                                                          [ 7]
/lib64/libc.so.6(+0x88740)[0x7f6f10a05740]<br>
                                                          [rohan:07297]
                                                          [ 8]
/lib64/libc.so.6(__libc_malloc+0x1b8)[0x7f6f10a070c8]<br>
                                                          [rohan:07297]
                                                          [ 9]
/lib64/libc.so.6(__backtrace_symbols+0x134)[0x7f6f10a8b064]<br>
                                                          [rohan:07297]
                                                          [10]
/home/mefpp_ericc/GIREF/bin/MEF++.dev(_Z12reqBacktraceRNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE+0x4e)[0x4538ce]<br>
                                                          [rohan:07297]
                                                          [11]
/home/mefpp_ericc/GIREF/bin/MEF++.dev(_Z15attacheDebuggerv+0x120)[0x4523c0]<br>
                                                          [rohan:07297]
                                                          [12]
/home/mefpp_ericc/GIREF/lib/libgiref_dev_Util.so(traitementSignal+0x612)[0x7f6f28f503a2]<br>
                                                          [rohan:07297]
                                                          [13]
/lib64/libc.so.6(+0x3a210)[0x7f6f109b7210]</p>
                                                          <p>[rohan:07297]
                                                          [14]
/opt/petsc-3.15.0_debug_openmpi-4.1.0_gcc7/lib/libpetsc.so.3.15(PetscTrMallocDefault+0x6fd)[0x7f6f22f1b8ed]<br>
                                                          [rohan:07297]
                                                          [15]
/opt/petsc-3.15.0_debug_openmpi-4.1.0_gcc7/lib/libpetsc.so.3.15(PetscMallocA+0x5cd)[0x7f6f22f19c2d]<br>
                                                          [rohan:07297]
                                                          [16]
/opt/petsc-3.15.0_debug_openmpi-4.1.0_gcc7/lib/libpetsc.so.3.15(PetscSFCreateSectionSF+0xb48)[0x7f6f23268e18]<br>
                                                          [rohan:07297]
                                                          [17]
/opt/petsc-3.15.0_debug_openmpi-4.1.0_gcc7/lib/libpetsc.so.3.15(DMPlexCreateGlobalToNaturalSF+0x13b2)[0x7f6f241a5602]<br>
                                                          [rohan:07297]
                                                          [18]
/opt/petsc-3.15.0_debug_openmpi-4.1.0_gcc7/lib/libpetsc.so.3.15(DMPlexDistribute+0x39b1)[0x7f6f23fdca21]<br>
                                                          </p>
                                                          </div>
                                                          </blockquote>
                                                          <div>I am not
                                                          sure what
                                                          happened here,
                                                          but if you
                                                          could send a
                                                          sample code, I
                                                          will figure it
                                                          out. </div>
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p>If we do
                                                          not create a
                                                          section, the
                                                          call to
                                                          DMPlexDistribute
                                                          is successful,
                                                          but
DMPlexGetGlobalToNaturalSF return a null SF pointer...<br>
                                                          </p>
                                                          </div>
                                                          </blockquote>
                                                          <div>Yes, it
                                                          just ignores
                                                          it in this
                                                          case because
                                                          it does not
                                                          have a global
                                                          layout. </div>
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p> </p>
                                                          <p>Here are
                                                          the operations
                                                          we are calling
                                                          ( this is
                                                          almost the
                                                          code we are
                                                          using, I just
                                                          removed
                                                          verifications
                                                          and creation
                                                          of the
                                                          connectivity
                                                          which use our
                                                          parallel
                                                          structure and
                                                          code):<br>
                                                          </p>
                                                          <p>===========</p>
                                                          <p>  PetscInt*
                                                          lCells      =
                                                          0;<br>
                                                            PetscInt 
                                                          lNumCorners =
                                                          0;<br>
                                                            PetscInt 
                                                          lDimMail    =
                                                          0;<br>
                                                            PetscInt 
                                                          lnumCells   =
                                                          0;<br>
                                                          <br>
                                                            //At this
                                                          point we
                                                          create the
                                                          cells for
                                                          PETSc expected
                                                          input for
DMPlexBuildFromCellListParallel and set lNumCorners, lDimMail and
                                                          lnumCells to
                                                          correct
                                                          values.<br>
                                                            ...<br>
                                                            <br>
                                                            DM      
                                                          lDMBete = 0<br>
                                                           
                                                          DMPlexCreate(lMPIComm,&lDMBete);<br>
                                                          <br>
                                                           
                                                          DMSetDimension(lDMBete,
                                                          lDimMail);<br>
                                                          <br>
                                                           
                                                          DMPlexBuildFromCellListParallel(lDMBete,<br>
                                  lnumCells,<br>
                                  PETSC_DECIDE,<br>
                                 
                                                          pLectureElementsLocaux.reqNbTotalSommets(),<br>
                                  lNumCorners,<br>
                                  lCells,<br>
                                  PETSC_NULL);<br>
                                                          <br>
                                                            DM
                                                          lDMBeteInterp
                                                          = 0;<br>
                                                           
                                                          DMPlexInterpolate(lDMBete,
&lDMBeteInterp);<br>
                                                           
                                                          DMDestroy(&lDMBete);<br>
                                                            lDMBete =
                                                          lDMBeteInterp;<br>
                                                          <br>
                                                           
                                                          DMSetUseNatural(lDMBete,PETSC_TRUE);<br>
                                                          <br>
                                                            PetscSF
                                                          lSFMigrationSansOvl
                                                          = 0;<br>
                                                            PetscSF
                                                          lSFMigrationOvl
                                                          = 0;<br>
                                                            DM
                                                          lDMDistribueSansOvl
                                                          = 0;<br>
                                                            DM
                                                          lDMAvecOverlap
                                                          = 0;<br>
                                                          <br>
                                                           
                                                          PetscPartitioner
                                                          lPart;<br>
                                                           
                                                          DMPlexGetPartitioner(lDMBete,
                                                          &lPart);<br>
                                                           
                                                          PetscPartitionerSetFromOptions(lPart);<br>
                                                          <br>
                                                           
                                                          PetscSection  
                                                          section;<br>
                                                           
                                                          PetscInt      
                                                          numFields   =
                                                          1;<br>
                                                           
                                                          PetscInt      
                                                          numBC       =
                                                          0;<br>
                                                           
                                                          PetscInt      
                                                          numComp[1]  =
                                                          {1};<br>
                                                           
                                                          PetscInt      
                                                          numDof[4]   =
                                                          {1, 0, 0, 0};<br>
                                                           
                                                          PetscInt      
                                                          bcFields[1] =
                                                          {0};<br>
                                                           
                                                          IS            
                                                          bcPoints[1] =
                                                          {NULL};<br>
                                                          <br>
                                                           
                                                          DMSetNumFields(lDMBete,
                                                          numFields);<br>
                                                          <br>
                                                           
                                                          DMPlexCreateSection(lDMBete,
                                                          NULL, numComp,
                                                          numDof, numBC,
                                                          bcFields,
                                                          bcPoints,
                                                          NULL, NULL,
                                                          &section);<br>
                                                           
                                                          DMSetLocalSection(lDMBete,
                                                          section);<br>
                                                          <br>
                                                           
                                                          DMPlexDistribute(lDMBete,
                                                          0,
                                                          &lSFMigrationSansOvl,
&lDMDistribueSansOvl); // segfault!<br>
                                                          </p>
                                                          <p>===========<br>
                                                          </p>
                                                          <p>So we have
                                                          other
                                                          question/remarks:</p>
                                                          <p>3- Maybe
                                                          PETSc expect
                                                          something
                                                          specific that
                                                          is missing/not
                                                          verified: for
                                                          example, we
                                                          didn't gave
                                                          any
                                                          coordinates
                                                          since we just
                                                          want to
                                                          partition and
                                                          compute
                                                          overlap for
                                                          the mesh...
                                                          and then
                                                          recover our
                                                          element
                                                          numbers in a
                                                          "simple way"</p>
                                                          <p>4- We are
                                                          telling
                                                          ourselves it
                                                          is somewhat a
                                                          "big price to
                                                          pay" to have
                                                          to build an
                                                          unused section
                                                          to have the
                                                          global to
                                                          natural
                                                          ordering set
                                                          ?  Could this
                                                          requirement be
                                                          avoided?</p>
                                                          </div>
                                                          </blockquote>
                                                          <div>I don't
                                                          think so.
                                                          There would
                                                          have to be
                                                          _some_ way of
                                                          describing
                                                          your data
                                                          layout in
                                                          terms of mesh
                                                          points, and I
                                                          do not see how
                                                          you could use
                                                          less memory
                                                          doing that. </div>
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p>5- Are
                                                          there any
                                                          improvement
                                                          towards our
                                                          usages in 3.16
                                                          release?</p>
                                                          </div>
                                                          </blockquote>
                                                          <div>Let me
                                                          try and run
                                                          the code
                                                          above.</div>
                                                          <div><br>
                                                          </div>
                                                          <div>  Thanks,</div>
                                                          <div><br>
                                                          </div>
                                                          <div>   
                                                           Matt </div>
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          <div>
                                                          <p>Thanks,</p>
                                                          <p>Eric</p>
                                                          <p><br>
                                                          </p>
                                                          <div>On
                                                          2021-09-29
                                                          7:39 p.m.,
                                                          Matthew
                                                          Knepley wrote:<br>
                                                          </div>
                                                          <blockquote type="cite">
                                                          <div dir="ltr">
                                                          <div dir="ltr">On
                                                          Wed, Sep 29,
                                                          2021 at 5:18
                                                          PM Eric
                                                          Chamberland
                                                          <<a href="mailto:Eric.Chamberland@giref.ulaval.ca" target="_blank">Eric.Chamberland@giref.ulaval.ca</a>>
                                                          wrote:<br>
                                                          </div>
                                                          <div class="gmail_quote">
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">Hi,<br>
                                                          <br>
                                                          I come back
                                                          with _almost_
                                                          the original
                                                          question:<br>
                                                          <br>
                                                          I would like
                                                          to add an
                                                          integer
                                                          information
                                                          (*our*
                                                          original
                                                          element <br>
                                                          number, not
                                                          petsc one) on
                                                          each element
                                                          of the DMPlex
                                                          I create with
                                                          <br>
DMPlexBuildFromCellListParallel.<br>
                                                          <br>
                                                          I would like
                                                          this interger
                                                          to be
                                                          distribruted
                                                          by or the same
                                                          way <br>
DMPlexDistribute distribute the mesh.<br>
                                                          <br>
                                                          Is it possible
                                                          to do this?<br>
                                                          </blockquote>
                                                          <div><br>
                                                          </div>
                                                          <div>I think
                                                          we already
                                                          have support
                                                          for what you
                                                          want. If you
                                                          call</div>
                                                          <div><br>
                                                          </div>
                                                          <div>  <a href="https://petsc.org/main/docs/manualpages/DM/DMSetUseNatural.html" target="_blank">https://petsc.org/main/docs/manualpages/DM/DMSetUseNatural.html</a></div>
                                                          <div><br>
                                                          </div>
                                                          <div>before
                                                          DMPlexDistribute(),
                                                          it will
                                                          compute a
                                                          PetscSF
                                                          encoding the
                                                          global to
                                                          natural map.
                                                          You</div>
                                                          <div>can get
                                                          it with</div>
                                                          <div><br>
                                                          </div>
                                                          <div>  <a href="https://petsc.org/main/docs/manualpages/DMPLEX/DMPlexGetGlobalToNaturalSF.html" target="_blank">https://petsc.org/main/docs/manualpages/DMPLEX/DMPlexGetGlobalToNaturalSF.html</a></div>
                                                          <div><br>
                                                          </div>
                                                          <div>and use
                                                          it with</div>
                                                          <div><br>
                                                          </div>
                                                          <div>  <a href="https://petsc.org/main/docs/manualpages/DMPLEX/DMPlexGlobalToNaturalBegin.html" target="_blank">https://petsc.org/main/docs/manualpages/DMPLEX/DMPlexGlobalToNaturalBegin.html</a></div>
                                                          <div><br>
                                                          </div>
                                                          <div>Is this
                                                          sufficient?</div>
                                                          <div><br>
                                                          </div>
                                                          <div>  Thanks,</div>
                                                          <div><br>
                                                          </div>
                                                          <div>     Matt</div>
                                                          <div> </div>
                                                          <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                                                          Thanks,<br>
                                                          <br>
                                                          Eric<br>
                                                          <br>
                                                          On 2021-07-14
                                                          1:18 p.m.,
                                                          Eric
                                                          Chamberland
                                                          wrote:<br>
                                                          > Hi,<br>
                                                          ><br>
                                                          > I want to
                                                          use
                                                          DMPlexDistribute
                                                          from PETSc for
                                                          computing
                                                          overlapping <br>
                                                          > and play
                                                          with the
                                                          different
                                                          partitioners
                                                          supported.<br>
                                                          ><br>
                                                          > However,
                                                          after calling
DMPlexDistribute, I noticed the elements are <br>
                                                          >
                                                          renumbered and
                                                          then the
                                                          original
                                                          number is
                                                          lost.<br>
                                                          ><br>
                                                          > What
                                                          would be the
                                                          best way to
                                                          keep track of
                                                          the element
                                                          renumbering?<br>
                                                          ><br>
                                                          > a) Adding
                                                          an optional
                                                          parameter to
                                                          let the user
                                                          retrieve a
                                                          vector or <br>
                                                          > "IS"
                                                          giving the old
                                                          number?<br>
                                                          ><br>
                                                          > b) Adding
                                                          a DMLabel
                                                          (seems a wrong
                                                          good solution)<br>
                                                          ><br>
                                                          > c) Other
                                                          idea?<br>
                                                          ><br>
                                                          > Of
                                                          course, I
                                                          don't want to
                                                          loose
                                                          performances
                                                          with the need
                                                          of this <br>
                                                          >
                                                          "mapping"...<br>
                                                          ><br>
                                                          > Thanks,<br>
                                                          ><br>
                                                          > Eric<br>
                                                          ><br>
                                                          -- <br>
                                                          Eric
                                                          Chamberland,
                                                          ing., M. Ing<br>
                                                          Professionnel
                                                          de recherche<br>
GIREF/Université Laval<br>
                                                          (418) 656-2131
                                                          poste 41 22 42<br>
                                                          <br>
                                                          </blockquote>
                                                          </div>
                                                          <br clear="all">
                                                          <div><br>
                                                          </div>
                                                          -- <br>
                                                          <div dir="ltr">
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>What most
                                                          experimenters
                                                          take for
                                                          granted before
                                                          they begin
                                                          their
                                                          experiments is
                                                          infinitely
                                                          more
                                                          interesting
                                                          than any
                                                          results to
                                                          which their
                                                          experiments
                                                          lead.<br>
                                                          -- Norbert
                                                          Wiener</div>
                                                          <div><br>
                                                          </div>
                                                          <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </blockquote>
                                                          <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                                                          </div>
                                                          </blockquote>
                                                          </div>
                                                          <br clear="all">
                                                          <div><br>
                                                          </div>
                                                          -- <br>
                                                          <div dir="ltr">
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>What most
                                                          experimenters
                                                          take for
                                                          granted before
                                                          they begin
                                                          their
                                                          experiments is
                                                          infinitely
                                                          more
                                                          interesting
                                                          than any
                                                          results to
                                                          which their
                                                          experiments
                                                          lead.<br>
                                                          -- Norbert
                                                          Wiener</div>
                                                          <div><br>
                                                          </div>
                                                          <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </blockquote>
                                                          <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                                                          </div>
                                                          </blockquote>
                                                          </div>
                                                          <br clear="all">
                                                          <div><br>
                                                          </div>
                                                          -- <br>
                                                          <div dir="ltr">
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>What most
                                                          experimenters
                                                          take for
                                                          granted before
                                                          they begin
                                                          their
                                                          experiments is
                                                          infinitely
                                                          more
                                                          interesting
                                                          than any
                                                          results to
                                                          which their
                                                          experiments
                                                          lead.<br>
                                                          -- Norbert
                                                          Wiener</div>
                                                          <div><br>
                                                          </div>
                                                          <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </blockquote>
                                                          <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                                                          </div>
                                                          </blockquote>
                                                          </div>
                                                          <br clear="all">
                                                          <div><br>
                                                          </div>
                                                          -- <br>
                                                          <div dir="ltr">
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>What most
                                                          experimenters
                                                          take for
                                                          granted before
                                                          they begin
                                                          their
                                                          experiments is
                                                          infinitely
                                                          more
                                                          interesting
                                                          than any
                                                          results to
                                                          which their
                                                          experiments
                                                          lead.<br>
                                                          -- Norbert
                                                          Wiener</div>
                                                          <div><br>
                                                          </div>
                                                          <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </blockquote>
                                                          <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                                                        </div>
                                                      </blockquote>
                                                    </div>
                                                    <br clear="all">
                                                    <div><br>
                                                    </div>
                                                    -- <br>
                                                    <div dir="ltr">
                                                      <div dir="ltr">
                                                        <div>
                                                          <div dir="ltr">
                                                          <div>
                                                          <div dir="ltr">
                                                          <div>What most
                                                          experimenters
                                                          take for
                                                          granted before
                                                          they begin
                                                          their
                                                          experiments is
                                                          infinitely
                                                          more
                                                          interesting
                                                          than any
                                                          results to
                                                          which their
                                                          experiments
                                                          lead.<br>
                                                          -- Norbert
                                                          Wiener</div>
                                                          <div><br>
                                                          </div>
                                                          <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                        </div>
                                                      </div>
                                                    </div>
                                                  </div>
                                                </blockquote>
                                                <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                                              </div>
                                            </blockquote>
                                          </div>
                                          <br clear="all">
                                          <div><br>
                                          </div>
                                          -- <br>
                                          <div dir="ltr">
                                            <div dir="ltr">
                                              <div>
                                                <div dir="ltr">
                                                  <div>
                                                    <div dir="ltr">
                                                      <div>What most
                                                        experimenters
                                                        take for granted
                                                        before they
                                                        begin their
                                                        experiments is
                                                        infinitely more
                                                        interesting than
                                                        any results to
                                                        which their
                                                        experiments
                                                        lead.<br>
                                                        -- Norbert
                                                        Wiener</div>
                                                      <div><br>
                                                      </div>
                                                      <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                                                      </div>
                                                    </div>
                                                  </div>
                                                </div>
                                              </div>
                                            </div>
                                          </div>
                                        </div>
                                      </blockquote>
                                      <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                                    </blockquote>
                                    <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                                  </blockquote>
                                  <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                                </div>
                              </blockquote>
                            </div>
                            <br clear="all">
                            <div><br>
                            </div>
                            -- <br>
                            <div dir="ltr">
                              <div dir="ltr">
                                <div>
                                  <div dir="ltr">
                                    <div>
                                      <div dir="ltr">
                                        <div>What most experimenters
                                          take for granted before they
                                          begin their experiments is
                                          infinitely more interesting
                                          than any results to which
                                          their experiments lead.<br>
                                          -- Norbert Wiener</div>
                                        <div><br>
                                        </div>
                                        <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                                        </div>
                                      </div>
                                    </div>
                                  </div>
                                </div>
                              </div>
                            </div>
                          </div>
                        </blockquote>
                        <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
                      </div>
                    </blockquote>
                  </div>
                  <br clear="all">
                  <div><br>
                  </div>
                  -- <br>
                  <div dir="ltr">
                    <div dir="ltr">
                      <div>
                        <div dir="ltr">
                          <div>
                            <div dir="ltr">
                              <div>What most experimenters take for
                                granted before they begin their
                                experiments is infinitely more
                                interesting than any results to which
                                their experiments lead.<br>
                                -- Norbert Wiener</div>
                              <div><br>
                              </div>
                              <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                              </div>
                            </div>
                          </div>
                        </div>
                      </div>
                    </div>
                  </div>
                </div>
              </blockquote>
              <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
            </div>
          </blockquote>
        </div>
        <br clear="all">
        <div><br>
        </div>
        -- <br>
        <div dir="ltr">
          <div dir="ltr">
            <div>
              <div dir="ltr">
                <div>
                  <div dir="ltr">
                    <div>What most experimenters take for granted before
                      they begin their experiments is infinitely more
                      interesting than any results to which their
                      experiments lead.<br>
                      -- Norbert Wiener</div>
                    <div><br>
                    </div>
                    <div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
                    </div>
                  </div>
                </div>
              </div>
            </div>
          </div>
        </div>
      </div>
    </blockquote>
    <pre cols="72">-- 
Eric Chamberland, ing., M. Ing
Professionnel de recherche
GIREF/Université Laval
(418) 656-2131 poste 41 22 42</pre>
  </div>

</blockquote></div><br clear="all"><div><br></div>-- <br><div dir="ltr" class="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener</div><div><br></div><div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br></div></div></div></div></div></div></div></div>