Sounds like a fine solution 

  Barry


> On Jul 15, 2019, at 3:09 AM, Patrick Sanan <[email protected]> wrote:
> 
> This continues to be annoying/confusing to users, so here's a current idea to 
> fix:
> 
> When you call DMLocalToGlobal with INSERT_VALUES, the library needs to choose 
> which local dof get inserted, when multiple local dof map to a global dof. 
> Usually this is done by ignoring off-process communication, leaving an 
> injective map. That doesn't work for a single-rank-periodic dimension with a 
> non-zero stencil width. So, I propose to add logic to 
> DMLocalToGlobal{Begin,End}_Stag() which checks to see if a special 
> ltog_injective map has been defined, and if so, uses it. During 
> DMSetUp_Stag(), this map is only created in the problematic case.
> 
> Pros: Only affects DMStag. Doesn't affect the API and behaves as users expect.
> Cons: Have to store another scatter. A little bit more logic to maintain.
> 
> Am Di., 18. Juni 2019 um 21:44 Uhr schrieb Smith, Barry F. 
> <[email protected]>:
> 
>   Ah
> 
> 
> > On Jun 18, 2019, at 2:24 PM, Patrick Sanan <[email protected]> wrote:
> > 
> > It's for domains of any width on one processor + periodic boundary 
> > conditions in a given direction.
> > 
> > Am Di., 18. Juni 2019 um 21:19 Uhr schrieb Smith, Barry F. 
> > <[email protected]>:
> > 
> >   Is it only for super skinny domains when periodic or any size domain when 
> > periodic? If only super skinny you can still develop and run with one 
> > processor right, just not super skinny. 
> > 
> >   I don't think it is worth the time and extra code but that's, of course, 
> > up to you.
> > 
> >    Barry
> > 
> >   DMDA actually had an entire other scatter for doing the local to global 
> > that worked for all cases but I threw it away a few years ago figuring the 
> > small failed special case as not important enough to keep around all that 
> > extra infrastructure.
> > 
> > 
> > > On Jun 18, 2019, at 2:05 PM, Patrick Sanan <[email protected]> 
> > > wrote:
> > > 
> > > 
> > > 
> > > Am Di., 18. Juni 2019 um 20:30 Uhr schrieb Smith, Barry F. 
> > > <[email protected]>:
> > > 
> > >   Patrick,
> > > 
> > >     I understand the problem with DMDA and periodicity with only a single 
> > >  skinny processor in one direction, local to global won't work without 
> > > lots of additional code. I don't care because PETSc is for big problems 
> > > and that problem is not big. 
> > > 
> > > Agreed, as far as performance is concerned, but I also very much value 
> > > being able to run and debug small problems, in serial at first, on my 
> > > laptop. This skinny-periodic case doesn't matter much for DMDA, because 
> > > you don't really need to do a lot of local->global scatters with 
> > > INSERT_VALUES (just access the global vector directly). The way DMStag is 
> > > right now, I use this to construct coordinates and to do data migration, 
> > > because of the regular blocking of the local vectors.
> > > 
> > >     Could you please explain to me the problem with Stag unrelated to a 
> > > skinny domain with one processor and periodic boundary conditions? 
> > > 
> > >     Each unknown in the global vector presumably has an unknown on the 
> > > local vector that "lives" at the same point. For insert why can't the 
> > > local to global just use the value from that location? Meanwhile for 
> > > ADD_VALUES why can't you just use the reverse of the global to local?
> > > I don't think there's a way to know (from the point of view of the 
> > > VecScatter) which of several local unknowns is the right one to map to a 
> > > given global unknown. Usually you saying "it's the one coming from this 
> > > rank", but that breaks down for the skinny periodic case. 
> > > 
> > > 
> > >     If the problem is just with skinny domain periodic one process in 
> > > that direction just generate the error and remove any test cases for that 
> > > situation. It seems absurd to me to waste time worrying about a totally 
> > > irrelevant special case and introducing all kinds of special constructs 
> > > for it is just making a mountain out of a mole hill.
> > > Potential users have noticed and complained, so I need to fix it somehow 
> > > : ( Sounds like playing with higher-level DM stuff isn't worth the churn, 
> > > so I should focus on solutions internal to DMStag.
> > > 
> > > 
> > >    Barry
> > > 
> > > 
> > > > On Jun 18, 2019, at 10:51 AM, Patrick Sanan via petsc-dev 
> > > > <[email protected]> wrote:
> > > > 
> > > > Sorry about the delay on this - I'm still trying to decide on what's an 
> > > > elegant solution. I'll attempt to describe the issue and potential 
> > > > solutions, in case anyone has interest/ideas:
> > > > 
> > > > My understanding of the way things work now
> > > > - DMLocalToGlobal() sends data from "local" vectors to "global" 
> > > > vectors. 
> > > > - This "l2g" map is in general surjective (onto) but not injective 
> > > > (into) because local subdomains can overlap.
> > > > - When DMLocalToGlobal() is called with INSERT_VALUES, there needs to 
> > > > be some mechanism to resolve this non-injectivity.
> > > > - The mechanism is to ignore the parts of the l2g map that aren't 
> > > > rank-local. 
> > > > - This usually works very well because "local" vectors can usually be 
> > > > constructed to consist of degrees of freedom consisting of rank-local 
> > > > dof in the global representation (I like to call these "native"), plus 
> > > > additional dof corresponding to other dof, which are either on other 
> > > > ranks or not part of the global representation at all (ghosted 
> > > > boundaries).
> > > > - This breaks down for a DMDA with a single rank in a given coordinate 
> > > > direction, and periodic boundary conditions. You'll get an error trying 
> > > > due to the non-injectivity of the map, even after excluding off-rank 
> > > > communication (since the ghost region maps to native dof, which never 
> > > > happens otherwise)
> > > > - However, this isn't an issue in practice, because with DMDA you can 
> > > > just operate directly on a global vector. Local-to-global inserts 
> > > > aren't very useful in general.
> > > > 
> > > > Issue related to DMStag
> > > > - With DMStag, the same issue occurs as with DMDA (and this is the 
> > > > topic of this thread).
> > > > - However, operating directly on a global vector isn't currently 
> > > > convenient with DMStag, because global vectors aren't regularly 
> > > > blocked, while local vectors are. 
> > > > - This is perhaps a design flaw to be addressed with DMStag, because 
> > > > the local representation is being used for two orthogonal purposes: 
> > > > padding out to obtain regular blocking, and padding out to include 
> > > > ghost regions.
> > > > 
> > > > Potential solutions
> > > > I can think of a few avenues to pursue, including
> > > > 1. Whenever this could potentially arise, pad all local vectors with 
> > > > the necessary 0's and use ADD_VALUES [gross]
> > > > 2. Add a dedicated "padded global" representation for DMStag, and tools 
> > > > for working with it. [elegant in that it resolves the design flaw 
> > > > above, but adds quite a lot of code]
> > > > 
> > > > but here's the idea  that I'm also intrigued by:
> > > > - It's an abuse of notation to use INSERT_VALUES for DMLocalToGlobal() 
> > > > in the first place
> > > > - Rather, it'd be more meaningful to use a new InsertMode value, 
> > > > INSERT_VALUES_LOCAL, deprecating the use of INSERT_VALUES for 
> > > > DMLocalToGlobal()*
> > > > - This name corresponds to SCATTER_REVERSE_LOCAL which gets called in 
> > > > e.g. DMLocalToGlobalBegin_DA(), or the equivalent logic in 
> > > > DMLocalToGlobalBegin() using PetscSection
> > > > - In most cases, this works just as before, but now the error message 
> > > > is more accurate - you can't use INSERT_VALUES_LOCAL when the l2g map 
> > > > isn't injective, even when ignoring parallel communication
> > > > - Add another new InsertMode value, INSERT_VALUES_INJECTIVE, which asks 
> > > > the DM implementation to resolve the non-injectivity of the l2g map
> > > > - In most cases, this would behave just like INSERT_VALUES_LOCAL and 
> > > > most users wouldn't know or care
> > > > - However, for the case of interest here, the implementation would be 
> > > > free to use its implementation-dependent data to "do the right thing"
> > > > - For DMStag, the right thing would be to behave consistently with the 
> > > > case with 2 or more ranks in the periodic direction (ignoring dof on 
> > > > ghost elements).
> > > > - This could be done by setting up another VecScatter during 
> > > > DMSetUp_Stag(), and using it with INSERT_VALUES_INJECTIVE
> > > > 
> > > > * eventually this could become an error if the l2g map was 
> > > > non-injective, but probably not for a long time if ever
> > > > 
> > > > Am Do., 13. Juni 2019 um 15:09 Uhr schrieb Patrick Sanan 
> > > > <[email protected]>:
> > > > I will attempt to just fix the underlying issue here, that is allow 
> > > > DMStagSetUniformCoordinates() to work for period boundary conditions 
> > > > with a single rank in the corresponding dimension.
> > > > 
> > > > Am Mi., 12. Juni 2019 um 19:10 Uhr schrieb Patrick Sanan 
> > > > <[email protected]>:
> > > > Ah, okay, so unless something weird is going on, that probably should 
> > > > never have passed (if it's asking for periodic BCs with one rank in a 
> > > > given direction, and INSERT_VALUES, so it's not well-defined which of 
> > > > the multiple local dof mapping to a given global dof should be used). 
> > > > I'll try to reproduce and fix it and/or talk to Chris.
> > > > 
> > > > Am Mi., 12. Juni 2019 um 18:27 Uhr schrieb Balay, Satish via petsc-dev 
> > > > <[email protected]>:
> > > > On Wed, 12 Jun 2019, Lisandro Dalcin via petsc-dev wrote:
> > > > 
> > > > > $ python test/runtests.py -v -i dmstag TestDMStag_2D_PXY
> > > > > [0@kl-18232] Python 2.7 (/usr/local/opt/python@2/bin/python2.7)
> > > > > [0@kl-18232] PETSc 3.11.2 development (conf: 'arch-darwin-c-debug')
> > > > > [0@kl-18232] petsc4py 3.11.0 
> > > > > (build/lib.macosx-10.14-x86_64-2.7/petsc4py)
> > > > > testCoordinates (test_dmstag.TestDMStag_2D_PXY) ... ERROR
> > > > > testDMDAInterface (test_dmstag.TestDMStag_2D_PXY) ... ERROR
> > > > > testDof (test_dmstag.TestDMStag_2D_PXY) ... ok
> > > > > testGetOther (test_dmstag.TestDMStag_2D_PXY) ... ok
> > > > > testGetVec (test_dmstag.TestDMStag_2D_PXY) ... ERROR
> > > > > testMigrateVec (test_dmstag.TestDMStag_2D_PXY) ... ERROR
> > > > 
> > > > I get:
> > > > 
> > > > ======================================================================
> > > > ERROR: testCoordinates (test_dmstag.TestDMStag_2D_PXY)
> > > > ----------------------------------------------------------------------
> > > > Traceback (most recent call last):
> > > >   File "test/test_dmstag.py", line 39, in testCoordinates
> > > >     self.da.setUniformCoordinates(0,1,0,1,0,1)
> > > >   File "PETSc/DMStag.pyx", line 255, in 
> > > > petsc4py.PETSc.DMStag.setUniformCoordinates
> > > > Error: error code 56
> > > > [0] DMStagSetUniformCoordinates() line 1077 in 
> > > > /home/balay/petsc.z/src/dm/impls/stag/stagutils.c
> > > > [0] DMStagSetUniformCoordinatesExplicit() line 1118 in 
> > > > /home/balay/petsc.z/src/dm/impls/stag/stagutils.c
> > > > [0] DMStagSetUniformCoordinatesExplicit_2d() line 135 in 
> > > > /home/balay/petsc.z/src/dm/impls/stag/stag2d.c
> > > > [0] DMLocalToGlobalBegin() line 2614 in 
> > > > /home/balay/petsc.z/src/dm/interface/dm.c
> > > > [0] DMLocalToGlobalBegin_Stag() line 230 in 
> > > > /home/balay/petsc.z/src/dm/impls/stag/stag.c
> > > > [0] No support for this operation for this object type
> > > > [0] Local to Global scattering with INSERT_VALUES is not supported for 
> > > > single rank in a direction with boundary conditions (e.g. periodic) 
> > > > inducing a non-injective local->global map. Either change the boundary 
> > > > conditions, use a stencil width of zero, or use more than one rank in 
> > > > the relevant direction (e.g. -stag_ranks_x 2)
> > > > 
> > > > Satish
> > > > 
> > > 
> > 
> 

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