Zoltan: HSFC curve options #13880

lkotipal · 2025-03-13T16:24:35Z

@trilinos/Zoltan @egboman

Motivation

Zoltan’s “Octree” Hilbert curve is an implementation of a three-dimensional curve canonized in most implementations. However, it is not unique among space filling curves; Haverkort (2017) describes up to ten million depending on desired properties. Of particular interest to load balancing is Lp-dilation, measuring the maximum Lp-distance between points in space divided by the difference between their Hilbert coordinates. Two particular curves known as the hyperorthogonal curves have optimal locality: Alfa has optimal L∞-dilation, while Beta has optimal L1- and L2-dilation.

This PR implements several curves with the base pattern Ca00 shared with the Octree curve, with state tables calculated adapting the method described by Lawder & King (2001). These include Butz (should effectively be a re-implementation of Octree), Harmonious, Sasburg, Base Camp, and the hyperorthogonal curves. The Z-curve is also implemented in two and three dimensions, mostly as a control. The choice of curve is controlled by the user parameter CURVE, defaulting to the Hilbert curve in two dimensions and the Octree curve in three dimensions, preserving previous behavior. The generation code and state tables (as C arrays) can be found here.

Addresses issue #13879

Testing

Default behaviour (Hilbert curve and Octree partitioning in 2D and 3D respectively) should be exercised by existing tests.

No tests for different curve implementations yet, but functionality and performance have been tested on Vlasiator with promising results; a production scale simulation shows around a 14% improvement on the best curve found (Beta) over the original Octree curve in spatial translation for a 4% improvement in overall simulation time (shown on the two box plots below). We expect these results to be applicable for similar workloads, i.e. Eulerian grids where data needs to be communicated along coordinate axes. In general we expect one of the hyperorthogonal curves to typically be optimal for any workload depending on the communication patterns of the program.

Additional Information

Sources cited:

Lawder, J. K., & King, P. J. H. (2001). Using state diagrams for hilbert curve mappings. International Journal of Computer Mathematics, 78(3), 327–342. https://doi.org/10.1080/00207160108805115
Haverkort, H. (2017). How many three-dimensional Hilbert curves are there? Journal of Computational Geometry, 8(1), 206–281. https://doi.org/10.20382/jocg.v8i1a10

Signed-off-by: Leo Kotipalo <leo.kotipalo@helsinki.fi>

trilinos-autotester · 2025-03-13T16:44:21Z

Status Flag 'Pre-Test Inspection' - - This Pull Request Requires Inspection... The code must be inspected by a member of the Team before Testing/Merging
NO INSPECTION HAS BEEN PERFORMED ON THIS PULL REQUEST! - This PR must be inspected by setting label 'AT: PRE-TEST INSPECTED'.

cgcgcg · 2025-03-13T17:00:50Z

@egboman

egboman · 2025-03-13T21:55:17Z

@lkotipal : Thanks for the PR and the very detailed explanation! There has not been any development in the Zoltan space-filling curves for many years. This looks like a nice addition! I have a couple questions:

Does this PR break backwards compatibility? It looks like the default values of CURVE have been chosen to preserve backwards compatibility, correct?
Does Vlasiator actually use Zoltan with these modifications? Or you developed the space-filling curves in Vlasiator and then decided to contribute to Zoltan?

lkotipal · 2025-03-13T22:41:43Z

@lkotipal : Thanks for the PR and the very detailed explanation! There has not been any development in the Zoltan space-filling curves for many years. This looks like a nice addition! I have a couple questions:
1. Does this PR break backwards compatibility? It looks like the default values of CURVE have been chosen to preserve backwards compatibility, correct?

2. Does Vlasiator actually use Zoltan with these modifications? Or you developed the space-filling curves in Vlasiator and then decided to contribute to Zoltan?

Yep, it defaults to the original state tables when CURVE is not set so behaviour should be unchanged.
We use Zoltan, and the tests were done using the branch on this PR.

egboman

Thanks, this looks great! The new options will be useful. In particular, the "beta" curve seems to give better results (at least in some cases). We appreciate you contributing this code to Zoltan.

egboman · 2025-03-15T19:14:53Z

The failing tests do not seem to be related to this PR. Trying to run them again.

trilinos-autotester · 2025-03-15T19:23:20Z

Status Flag 'Pull Request AutoTester' - User Requested Retest - Label AT: RETEST will be reset after testing.

trilinos-autotester · 2025-03-16T19:23:22Z

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trilinos-autotester · 2025-03-17T19:27:00Z

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trilinos-autotester · 2025-03-18T19:43:09Z

Status Flag 'Pull Request AutoTester' - User Requested Retest - Label AT: RETEST will be reset after testing.

trilinos-autotester · 2025-03-19T20:02:52Z

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trilinos-autotester · 2025-03-20T20:07:18Z

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trilinos-autotester · 2025-03-21T20:22:58Z

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trilinos-autotester · 2025-03-22T20:42:57Z

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trilinos-autotester · 2025-03-23T21:02:56Z

Status Flag 'Pull Request AutoTester' - User Requested Retest - Label AT: RETEST will be reset after testing.

lkotipal · 2025-03-24T10:27:20Z

[2025-03-13T16:25:09Z ERROR verification::job_approver] Initiating User lkotipal is not approved to run jobs on this machine.
[2025-03-13T16:25:09Z INFO verification::job_approver] AT2: Please have someone from Pretest-Inspectors trigger this workflow

Looks like a permissions issue?

trilinos-autotester · 2025-03-24T15:03:25Z

Status Flag 'Pre-Test Inspection' - SUCCESS: The last commit to this Pull Request has been INSPECTED by label AT: PRE-TEST INSPECTED! Autotester is Removing Label; this inspection will remain valid until a new commit to source branch is performed.

trilinos-autotester · 2025-03-24T15:08:11Z

Status Flag 'Pull Request AutoTester' - Testing Jenkins Projects:

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Pull Request Author: lkotipal

ccober6 · 2025-03-24T15:11:18Z

FYI, there is a limited list of who can do the Pretest-Inspections. @egboman should be on the list but I went ahead and added the Pretest-Inspection label.

egboman · 2025-03-24T15:19:00Z

Thanks, @ccober6 . I didn't realize I should do that.

ccober6 · 2025-03-24T15:26:03Z

Yeah, there are times when Pretest-Inspected label needs to be added, when the contributor is not on the pretest inspection list.

trilinos-autotester · 2025-03-24T15:59:55Z

Status Flag 'Pull Request AutoTester' - Jenkins Testing: 1 or more Jobs FAILED

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CDash Test Results for PR# 13880.

Wiki: How to Reproduce PR Testing Builds and Errors.

egboman · 2025-03-24T18:52:15Z

Not sure why some tests failed, looks like they didn't even build correctly?

ccober6 · 2025-03-24T19:15:50Z

Maybe DevOps folks can help. @trilinos/framework

sebrowne · 2025-03-24T19:43:24Z

@ccober6 @egboman the code needs to be "approved" prior to the AT2 system testing changes from outside contributors (via the "review" tab). Then you can go and re-run the GitHub action.

ccober6

lgtm

trilinos-autotester · 2025-03-24T20:23:04Z

Status Flag 'Pull Request AutoTester' - User Requested Retest - Label AT: RETEST will be reset after testing.

trilinos-autotester · 2025-03-24T20:27:28Z

Status Flag 'Pull Request AutoTester' - Testing Jenkins Projects:

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Pull Request Author: lkotipal

egboman · 2025-03-24T21:03:40Z

Sorry, I don't understand. What kind of approval is needed? There is still a checkmark by my code review, so I believe it is still valid. Same for Curt.

cgcgcg · 2025-03-24T21:08:44Z

In kicked off all AT2 jobs again. Let's see if that does it.

trilinos-autotester · 2025-03-24T21:23:03Z

Status Flag 'Pull Request AutoTester' - Jenkins Testing: 1 or more Jobs FAILED

Note: Testing will normally be attempted again in approx. 2 Hrs 30 Mins. If a change to the PR source branch occurs, the testing will be attempted again on next available autotester run.

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PR_LABELS	pkg: Zoltan;AT: RETEST;AT: PRE-TEST INSPECTED
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CDash Test Results for PR# 13880.

Wiki: How to Reproduce PR Testing Builds and Errors.

egboman · 2025-03-25T16:30:20Z

Failed again... Will keep trying!

trilinos-autotester · 2025-03-25T16:43:19Z

Status Flag 'Pull Request AutoTester' - User Requested Retest - Label AT: RETEST will be reset after testing.

trilinos-autotester · 2025-03-25T16:47:52Z

Status Flag 'Pull Request AutoTester' - Testing Jenkins Projects:

Pull Request Auto Testing STARTING (click to expand)

Build Information

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Build Num: 1298
Status: STARTED

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Build Num: 1265
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Build Num: 1344
Status: STARTED

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TRILINOS_TARGET_SHA	`1acf4a2`

Using Repos:

Repo: TRILINOS (lkotipal/Trilinos)

Pull Request Author: lkotipal

sebrowne · 2025-03-25T16:58:32Z

It appears to be valid build errors in the Intel and Clang configurations. Here's a link to the Intel failures: https://trilinos-cdash.sandia.gov/viewBuildError.php?buildid=2171929

trilinos-autotester · 2025-03-25T17:39:05Z

Status Flag 'Pull Request AutoTester' - Jenkins Testing: 1 or more Jobs FAILED

Note: Testing will normally be attempted again in approx. 2 Hrs 30 Mins. If a change to the PR source branch occurs, the testing will be attempted again on next available autotester run.

Pull Request Auto Testing has FAILED (click to expand)

Build Information

Test Name: PR_gcc-openmpi-openmp

Build Num: 1298
Status: PASSED

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CDash Test Results for PR# 13880.

Wiki: How to Reproduce PR Testing Builds and Errors.

egboman · 2025-03-26T17:41:35Z

After looking at the latest test failures, there are some issues that need to be fixed. Turns out clang and the Intel compilers are more picky than gcc. Unfortunately, the cdash output is internal to Sandia. I will copy-paste some output below. @lkotipal , looks like minor errors so I hope you have a chance to fix this and update the PR. Thanks!

Failing tests (clang):

Zoltan | Error building packages/zoltan/src/CMakeFiles/zoltan.dir/hsfc/hsfc_hilbert.c.o
Zoltan | Error building packages/zoltan/src/CMakeFiles/zoltan.dir/hsfc/hsfc_box_assign.c.o
Zoltan | Error building packages/zoltan/src/CMakeFiles/zoltan.dir/hsfc/hsfc.c.o
Zoltan | Error building packages/zoltan/src/CMakeFiles/zoltan.dir/hsfc/hsfc_point_assign.c.o
Zoltan | Error building packages/zoltan/src/CMakeFiles/zoltan.dir/order/hsfcOrder.c.o
Zoltan | Error building packages/zoltan/src/CMakeFiles/zoltan.dir/zz/zz_coord.c.o
Zoltan | Error building packages/zoltan/src/CMakeFiles/zoltan.dir/reftree/reftree_coarse_path.c.o

Source: packages/zoltan/src/hsfc/hsfc_hilbert.c
In file included from ../Trilinos/packages/zoltanhsfc/hsfc_hilbert.c:19:
../Trilinos/packages/zoltanhsfc/hsfc_hilbert_const.h:118:51: error: initializer element is not a compile-time constant
static const struct Tables tables2d[N_CURVE2D] = {z2d, hilbert};
^~~
../Trilinos/packages/zoltanhsfc/hsfc_hilbert_const.h:1333:51: error: initializer element is not a compile-time constant
static const struct Tables tables3d[N_CURVE3D] = {z3d, octree, butz, alfa, harmonious, sasburg, base_camp, beta};
^~~
2 errors generated.

Source: packages/zoltan/src/hsfc/hsfc_box_assign.c
In file included from ../Trilinos/packages/zoltanhsfc/hsfc_box_assign.c:15:
In file included from ../Trilinos/packages/zoltanhsfc/hsfc.h:24:
../Trilinos/packages/zoltanhsfc/hsfc_hilbert_const.h:118:51: error: initializer element is not a compile-time constant
static const struct Tables tables2d[N_CURVE2D] = {z2d, hilbert};
^~~
../Trilinos/packages/zoltanhsfc/hsfc_hilbert_const.h:1333:51: error: initializer element is not a compile-time constant
static const struct Tables tables3d[N_CURVE3D] = {z3d, octree, butz, alfa, harmonious, sasburg, base_camp, beta};
^~~
2 errors generated.

Source: packages/zoltan/src/hsfc/hsfc.c
In file included from ../Trilinos/packages/zoltanhsfc/hsfc.c:26:
In file included from ../Trilinos/packages/zoltanhsfc/hsfc.h:24:
../Trilinos/packages/zoltanhsfc/hsfc_hilbert_const.h:118:51: error: initializer element is not a compile-time constant
static const struct Tables tables2d[N_CURVE2D] = {z2d, hilbert};
^~~
../Trilinos/packages/zoltanhsfc/hsfc_hilbert_const.h:1333:51: error: initializer element is not a compile-time constant
static const struct Tables tables3d[N_CURVE3D] = {z3d, octree, butz, alfa, harmonious, sasburg, base_camp, beta};
^~~
2 errors generated.

Implement alternative Hilbert curves from Haverkort (2017)

edab773

Signed-off-by: Leo Kotipalo <leo.kotipalo@helsinki.fi>

lkotipal requested a review from a team as a code owner March 13, 2025 16:24

cgcgcg added the pkg: Zoltan label Mar 13, 2025

egboman self-assigned this Mar 13, 2025

egboman approved these changes Mar 14, 2025

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egboman added the AT: RETEST Causes the PR autotester to run a new round of PR tests on the next iteration label Mar 15, 2025

ccober6 added the AT: PRE-TEST INSPECTED Required to test outside contributions. This label alone will not allow a PR to merge. label Mar 24, 2025

trilinos-autotester removed the AT: PRE-TEST INSPECTED Required to test outside contributions. This label alone will not allow a PR to merge. label Mar 24, 2025

trilinos-autotester removed the AT: RETEST Causes the PR autotester to run a new round of PR tests on the next iteration label Mar 24, 2025

ccober6 self-requested a review March 24, 2025 20:14

ccober6 approved these changes Mar 24, 2025

View reviewed changes

ccober6 added AT: PRE-TEST INSPECTED Required to test outside contributions. This label alone will not allow a PR to merge. AT: RETEST Causes the PR autotester to run a new round of PR tests on the next iteration labels Mar 24, 2025

trilinos-autotester removed the AT: RETEST Causes the PR autotester to run a new round of PR tests on the next iteration label Mar 24, 2025

egboman added the AT: RETEST Causes the PR autotester to run a new round of PR tests on the next iteration label Mar 25, 2025

trilinos-autotester removed the AT: RETEST Causes the PR autotester to run a new round of PR tests on the next iteration label Mar 25, 2025

cgcgcg added the AT: WIP Causes the PR autotester to not test the PR. (Remove to allow testing to occur.) label Mar 25, 2025

Zoltan: HSFC curve options #13880

Are you sure you want to change the base?

Zoltan: HSFC curve options #13880

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lkotipal commented Mar 13, 2025

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Test Name: PR_gcc-openmpi-openmp

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Test Name: PR_clang

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Test Name: PR_cuda

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Test Name: PR_intel

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Using Repos:

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Test Name: PR_gcc-openmpi-openmp

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Test Name: PR_clang

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Test Name: PR_cuda

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Test Name: PR_intel

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Test Name: PR_gcc-openmpi-openmp

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Test Name: PR_clang

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Test Name: PR_cuda

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Test Name: PR_intel