]> https://gitweb.dealii.org/ - dealii.git/log
dealii.git
3 years agoUpdate examples/step-82/step-82.cc 12794/head
Matthias Maier [Fri, 8 Oct 2021 04:19:36 +0000 (23:19 -0500)]
Update examples/step-82/step-82.cc

Co-authored-by: dianeguignard <78985256+dianeguignard@users.noreply.github.com>
3 years agoUpdate examples/step-82/step-82.cc
Matthias Maier [Fri, 8 Oct 2021 04:19:29 +0000 (23:19 -0500)]
Update examples/step-82/step-82.cc

Co-authored-by: dianeguignard <78985256+dianeguignard@users.noreply.github.com>
3 years agoSimplify code in step-82 a little bit.
Wolfgang Bangerth [Wed, 6 Oct 2021 04:18:02 +0000 (22:18 -0600)]
Simplify code in step-82 a little bit.

3 years agoMerge pull request #12448 from dianeguignard/added-step-82
Wolfgang Bangerth [Wed, 6 Oct 2021 04:02:51 +0000 (22:02 -0600)]
Merge pull request #12448 from dianeguignard/added-step-82

Add tutorial program step-82

3 years agoMerge pull request #12792 from peterrum/create_right_hand_side_compress
Daniel Arndt [Tue, 5 Oct 2021 13:04:53 +0000 (09:04 -0400)]
Merge pull request #12792 from peterrum/create_right_hand_side_compress

3 years agoAdd missing compress() to VectorTools::create_right_hand_side() 12792/head
Peter Munch [Tue, 5 Oct 2021 07:13:27 +0000 (09:13 +0200)]
Add missing compress() to VectorTools::create_right_hand_side()

3 years agoMerge pull request #12790 from drwells/simplex-convert-refined
Martin Kronbichler [Tue, 5 Oct 2021 06:59:35 +0000 (08:59 +0200)]
Merge pull request #12790 from drwells/simplex-convert-refined

Permit conversion of multi-level triangulations to simplices.

3 years agoMerge pull request #12789 from sebproell/prm-parse-mandatory
David Wells [Mon, 4 Oct 2021 21:32:47 +0000 (17:32 -0400)]
Merge pull request #12789 from sebproell/prm-parse-mandatory

Fix bug in ParameterHandler::parse_input for .prm

3 years agoMerge pull request #12788 from sebproell/add-parameter-map-tuple
David Wells [Mon, 4 Oct 2021 21:32:33 +0000 (17:32 -0400)]
Merge pull request #12788 from sebproell/add-parameter-map-tuple

Test custom separators for Patterns::Map

3 years agoPermit conversion of multi-level triangulations to simplices. 12790/head
David Wells [Mon, 4 Oct 2021 19:26:14 +0000 (15:26 -0400)]
Permit conversion of multi-level triangulations to simplices.

3 years agoFix bug in ParameterHandler::parse_input for .prm 12789/head
Sebastian Proell [Mon, 4 Oct 2021 13:28:26 +0000 (15:28 +0200)]
Fix bug in ParameterHandler::parse_input for .prm

The entries_set_status was not updated when parsing from .prm files.

3 years agoMerge pull request #12785 from kronbichler/mapping_cartesian_internal_data
Martin Kronbichler [Mon, 4 Oct 2021 13:03:06 +0000 (15:03 +0200)]
Merge pull request #12785 from kronbichler/mapping_cartesian_internal_data

Mapping classes: Unify public/private properties

3 years agoTest custom separators for Patterns::Map 12788/head
Sebastian Proell [Sat, 19 Jun 2021 16:34:12 +0000 (18:34 +0200)]
Test custom separators for Patterns::Map

3 years agoMerge pull request #12786 from gassmoeller/fix_fepointevaluation_middle_component
Martin Kronbichler [Sun, 3 Oct 2021 18:36:46 +0000 (20:36 +0200)]
Merge pull request #12786 from gassmoeller/fix_fepointevaluation_middle_component

Fix FEPointEvaluation for non-zero starting component

3 years agoFix FEPointEvaluation for non-zero starting component 12786/head
Rene Gassmoeller [Fri, 1 Oct 2021 19:43:08 +0000 (15:43 -0400)]
Fix FEPointEvaluation for non-zero starting component

3 years agoMappingManifold: Do not expose the fill_fe_*values functions as public 12785/head
Martin Kronbichler [Fri, 1 Oct 2021 13:32:25 +0000 (15:32 +0200)]
MappingManifold: Do not expose the fill_fe_*values functions as public

3 years agoMappingQ: Make fill_fe_*values protected as in other mapping classes
Martin Kronbichler [Fri, 1 Oct 2021 13:27:04 +0000 (15:27 +0200)]
MappingQ: Make fill_fe_*values protected as in other mapping classes

3 years agoMake MappingCartesian::InternalData public
Martin Kronbichler [Fri, 1 Oct 2021 13:25:57 +0000 (15:25 +0200)]
Make MappingCartesian::InternalData public

3 years agoMerge pull request #12784 from gfcas/doc_typo
Daniel Arndt [Thu, 30 Sep 2021 13:30:46 +0000 (09:30 -0400)]
Merge pull request #12784 from gfcas/doc_typo

3 years agoFix typo in ScratchData doc 12784/head
Fabian Castelli [Thu, 30 Sep 2021 12:59:38 +0000 (14:59 +0200)]
Fix typo in ScratchData doc

3 years agoMerge pull request #12783 from peterrum/apply_hanging_node_constraints_protected
Peter Munch [Wed, 29 Sep 2021 13:38:51 +0000 (15:38 +0200)]
Merge pull request #12783 from peterrum/apply_hanging_node_constraints_protected

Make FEEvaluationBase::apply_hanging_node_constraints protected

3 years agofixed indent 12448/head
Diane Guignard [Tue, 28 Sep 2021 21:51:10 +0000 (17:51 -0400)]
fixed indent

3 years agoIncluded other suggestions from P. Munch
Diane Guignard [Thu, 23 Sep 2021 15:36:20 +0000 (11:36 -0400)]
Included other suggestions from P. Munch

3 years agoFixed typo intro and updated references
Diane Guignard [Thu, 23 Sep 2021 15:15:10 +0000 (11:15 -0400)]
Fixed typo intro and updated references

3 years agoRemove second DoFHandler
Peter Munch [Thu, 23 Sep 2021 05:01:23 +0000 (07:01 +0200)]
Remove second DoFHandler

3 years agoUrl references and fixed error
Diane Guignard [Fri, 17 Sep 2021 22:29:53 +0000 (18:29 -0400)]
Url references and fixed error

3 years agoMinor updates in intro and results
Diane Guignard [Sat, 11 Sep 2021 22:09:12 +0000 (18:09 -0400)]
Minor updates in intro and results

3 years agoSmall adjustments to the step-82.cc file.
Wolfgang Bangerth [Fri, 3 Sep 2021 21:20:11 +0000 (15:20 -0600)]
Small adjustments to the step-82.cc file.

3 years agoAdd table for k=3 to the results section.
Wolfgang Bangerth [Fri, 3 Sep 2021 19:26:59 +0000 (13:26 -0600)]
Add table for k=3 to the results section.

3 years agoAdjust whitespace at the end of lines.
Wolfgang Bangerth [Fri, 3 Sep 2021 19:19:44 +0000 (13:19 -0600)]
Adjust whitespace at the end of lines.

3 years agoMinor edits to the conclusions section of step-82.
Wolfgang Bangerth [Fri, 3 Sep 2021 04:23:01 +0000 (22:23 -0600)]
Minor edits to the conclusions section of step-82.

3 years agoUse the usual style in main().
Wolfgang Bangerth [Fri, 3 Sep 2021 04:20:24 +0000 (22:20 -0600)]
Use the usual style in main().

3 years agoMinor edits to the introduction of step-82.
Wolfgang Bangerth [Fri, 3 Sep 2021 03:58:40 +0000 (21:58 -0600)]
Minor edits to the introduction of step-82.

3 years agoAdded tutorial program step-82
Diane Guignard [Mon, 28 Jun 2021 18:41:51 +0000 (14:41 -0400)]
Added tutorial program step-82

3 years agoMake FEEvaluationBase::apply_hanging_node_constraints protected 12783/head
Peter Munch [Wed, 29 Sep 2021 08:25:49 +0000 (10:25 +0200)]
Make FEEvaluationBase::apply_hanging_node_constraints protected

3 years agoMerge pull request #12782 from kronbichler/master
Peter Munch [Tue, 28 Sep 2021 21:11:58 +0000 (23:11 +0200)]
Merge pull request #12782 from kronbichler/master

Avoid set but unused variable

3 years agoAvoid set but unused variable 12782/head
Martin Kronbichler [Tue, 28 Sep 2021 19:12:41 +0000 (21:12 +0200)]
Avoid set but unused variable

3 years agoMerge pull request #12779 from peterrum/use_fast_hanging_node_algorithm
Martin Kronbichler [Tue, 28 Sep 2021 18:29:35 +0000 (20:29 +0200)]
Merge pull request #12779 from peterrum/use_fast_hanging_node_algorithm

Allow to disable fast matrix-free hanging-node algorithm

3 years agoMerge pull request #12761 from masterleinad/instantiate_local_apply_boundary_values_c...
Daniel Arndt [Tue, 28 Sep 2021 18:09:17 +0000 (14:09 -0400)]
Merge pull request #12761 from masterleinad/instantiate_local_apply_boundary_values_complex_values

Instantiate MatrixTools::apply_boundary_values also for complex values

3 years agoMerge pull request #12778 from peterrum/evaluation_template_factory_split
Peter Munch [Tue, 28 Sep 2021 14:28:52 +0000 (16:28 +0200)]
Merge pull request #12778 from peterrum/evaluation_template_factory_split

Split up evaluation_template_factory

3 years agoAdd test 12761/head
Daniel Arndt [Mon, 20 Sep 2021 14:28:53 +0000 (10:28 -0400)]
Add test

3 years agoAllow to disable fast matrix-free hanging-node algorithm 12779/head
Peter Munch [Tue, 28 Sep 2021 13:05:09 +0000 (15:05 +0200)]
Allow to disable fast matrix-free hanging-node algorithm

3 years agoSplit up evaluation_template_factory 12778/head
Peter Munch [Tue, 28 Sep 2021 10:51:56 +0000 (12:51 +0200)]
Split up evaluation_template_factory

3 years agoMerge pull request #12776 from peterrum/ide_comment
Martin Kronbichler [Sat, 25 Sep 2021 16:07:42 +0000 (18:07 +0200)]
Merge pull request #12776 from peterrum/ide_comment

Remove an IDE comment

3 years agoRemove an IDE comment 12776/head
Peter Munch [Sat, 25 Sep 2021 12:14:52 +0000 (14:14 +0200)]
Remove an IDE comment

3 years agoMerge pull request #12773 from gassmoeller/add_mappingcartesian_fepointevaluation
Martin Kronbichler [Fri, 24 Sep 2021 09:21:02 +0000 (11:21 +0200)]
Merge pull request #12773 from gassmoeller/add_mappingcartesian_fepointevaluation

Support MappingCartesian in FEPointEvaluation

3 years agoSupport MappingCartesian in FEPointEvaluation 12773/head
Rene Gassmoeller [Wed, 22 Sep 2021 22:35:42 +0000 (18:35 -0400)]
Support MappingCartesian in FEPointEvaluation

3 years agoMerge pull request #12772 from peterrum/subface_interpolation_matrices
Peter Munch [Thu, 23 Sep 2021 11:43:41 +0000 (13:43 +0200)]
Merge pull request #12772 from peterrum/subface_interpolation_matrices

ShapeInfo: store both subface interpolation matrices

3 years agoShapeInfo: store both subface interpolation matrices 12772/head
Peter Munch [Thu, 23 Sep 2021 07:03:43 +0000 (09:03 +0200)]
ShapeInfo: store both subface interpolation matrices

3 years agoMerge pull request #12770 from bangerth/ref
Marc Fehling [Tue, 21 Sep 2021 20:55:10 +0000 (14:55 -0600)]
Merge pull request #12770 from bangerth/ref

Fix two bibtex entries.

3 years agoFix two bibtex entries. 12770/head
Wolfgang Bangerth [Mon, 20 Sep 2021 03:46:40 +0000 (21:46 -0600)]
Fix two bibtex entries.

For one, add a DOI. For the other, remove the 'type' field: There is no
reason why this shouldn't just be printed as a 'PhD thesis'.

3 years agoMerge pull request #12769 from zjiaqi2018/matrix-free-documentation
Martin Kronbichler [Mon, 20 Sep 2021 06:55:16 +0000 (08:55 +0200)]
Merge pull request #12769 from zjiaqi2018/matrix-free-documentation

matrix-free documentation

3 years agoMerge pull request #12767 from peterrum/HangingNodes_artificial_neighbors
Martin Kronbichler [Mon, 20 Sep 2021 06:54:32 +0000 (08:54 +0200)]
Merge pull request #12767 from peterrum/HangingNodes_artificial_neighbors

HangingNodes: ignore artificial neighbors

3 years agoHangingNodes: ignore artificial neighbors 12767/head
Peter Munch [Sat, 18 Sep 2021 18:11:32 +0000 (20:11 +0200)]
HangingNodes: ignore artificial neighbors

3 years agoMerge pull request #12768 from kronbichler/mf_no_inner_faces
Peter Munch [Sun, 19 Sep 2021 06:52:09 +0000 (08:52 +0200)]
Merge pull request #12768 from kronbichler/mf_no_inner_faces

MatrixFree: Do not build inner face data if not requested

3 years agoimprove documentation 12769/head
Jiaqi Zhang [Sun, 19 Sep 2021 00:45:57 +0000 (00:45 +0000)]
improve documentation

3 years agoNew test case 12768/head
Martin Kronbichler [Sat, 18 Sep 2021 19:58:34 +0000 (21:58 +0200)]
New test case

3 years agoDo not build inner face data if not requested
Martin Kronbichler [Sat, 18 Sep 2021 19:58:18 +0000 (21:58 +0200)]
Do not build inner face data if not requested

3 years agoMerge pull request #12765 from bangerth/references
Martin Kronbichler [Sat, 18 Sep 2021 18:44:09 +0000 (20:44 +0200)]
Merge pull request #12765 from bangerth/references

Add a few references to the FE_Q_iso_Q1 element documentation.

3 years agoMerge pull request #12764 from Rombur/cuda_hanging_node
Peter Munch [Fri, 17 Sep 2021 20:46:48 +0000 (22:46 +0200)]
Merge pull request #12764 from Rombur/cuda_hanging_node

Refactor hanging_nodes_internals.h

3 years agoAdd a few references to the FE_Q_iso_Q1 element documentation. 12765/head
Wolfgang Bangerth [Thu, 16 Sep 2021 21:40:30 +0000 (15:40 -0600)]
Add a few references to the FE_Q_iso_Q1 element documentation.

3 years agoUse explicit conversion
Daniel Arndt [Fri, 17 Sep 2021 14:47:28 +0000 (10:47 -0400)]
Use explicit conversion

3 years agoRefactor hanging_nodes_internals.h 12764/head
Bruno Turcksin [Thu, 16 Sep 2021 20:53:31 +0000 (20:53 +0000)]
Refactor hanging_nodes_internals.h

3 years agoAvoid using std::fabs
Daniel Arndt [Wed, 15 Sep 2021 17:27:50 +0000 (13:27 -0400)]
Avoid using std::fabs

3 years agoFix zero comparison
Daniel Arndt [Wed, 15 Sep 2021 16:56:05 +0000 (12:56 -0400)]
Fix zero comparison

3 years agoInstantiate MatrixTools::apply_boundary_values also for complex values
Daniel Arndt [Wed, 15 Sep 2021 16:16:28 +0000 (12:16 -0400)]
Instantiate MatrixTools::apply_boundary_values also for complex values

3 years agoMerge pull request #12755 from jppelteret/trilinos_linear_operator_01
Martin Kronbichler [Wed, 15 Sep 2021 10:22:58 +0000 (12:22 +0200)]
Merge pull request #12755 from jppelteret/trilinos_linear_operator_01

Allow TrilinosPayload to use another TrilinosPayload as an exemplar operator

3 years agoAdd changelog entry 12755/head
Jean-Paul Pelteret [Sun, 12 Sep 2021 20:43:39 +0000 (22:43 +0200)]
Add changelog entry

3 years agoAdd tests for inverse_operator() using Trilinos payload
Jean-Paul Pelteret [Sun, 12 Sep 2021 18:01:31 +0000 (20:01 +0200)]
Add tests for inverse_operator() using Trilinos payload

3 years agoAdd generic constructor for TrilinosPayload
Jean-Paul Pelteret [Tue, 14 Sep 2021 19:32:04 +0000 (21:32 +0200)]
Add generic constructor for TrilinosPayload

3 years agoPermit TrilinosPayload to use itself as an exemplar operator
Jean-Paul Pelteret [Sun, 12 Sep 2021 20:37:48 +0000 (22:37 +0200)]
Permit TrilinosPayload to use itself as an exemplar operator

3 years agoMerge pull request #12758 from peterrum/mesh_classifier_vector 12762/head
Martin Kronbichler [Tue, 14 Sep 2021 13:30:18 +0000 (15:30 +0200)]
Merge pull request #12758 from peterrum/mesh_classifier_vector

Rename VECTOR to VectorType

3 years agoRename VECTOR to VectorType 12758/head
Peter Munch [Tue, 14 Sep 2021 07:02:39 +0000 (09:02 +0200)]
Rename VECTOR to VectorType

3 years agoMerge pull request #12651 from jppelteret/scratch_data_04
Bruno Turcksin [Mon, 13 Sep 2021 21:39:54 +0000 (17:39 -0400)]
Merge pull request #12651 from jppelteret/scratch_data_04

3 years agoMerge pull request #12753 from kronbichler/reduce_test_runtime
Peter Munch [Mon, 13 Sep 2021 07:14:14 +0000 (09:14 +0200)]
Merge pull request #12753 from kronbichler/reduce_test_runtime

Reduce run time of FEEvaluation tests with Hessians

3 years agoAdd new variant of TrilinosWrappers::linear_operator()
Jean-Paul Pelteret [Sun, 12 Sep 2021 20:36:59 +0000 (22:36 +0200)]
Add new variant of TrilinosWrappers::linear_operator()

3 years agoReduce run time of FEEvaluation tests with Hessians 12753/head
Martin Kronbichler [Sat, 11 Sep 2021 09:22:26 +0000 (11:22 +0200)]
Reduce run time of FEEvaluation tests with Hessians

3 years agoMerge pull request #12751 from marcfehling/fix-line-identity
Martin Kronbichler [Sat, 11 Sep 2021 09:03:14 +0000 (11:03 +0200)]
Merge pull request #12751 from marcfehling/fix-line-identity

Bugfix: Invalid dofs on lines with similar FEs not correctly merged.

3 years agoBugfix: Invalid dofs on lines with similar FEs not correctly merged. 12751/head
Marc Fehling [Thu, 9 Sep 2021 18:14:54 +0000 (12:14 -0600)]
Bugfix: Invalid dofs on lines with similar FEs not correctly merged.

3 years agoMerge pull request #12750 from kronbichler/avoid_unused_variable
Martin Kronbichler [Thu, 9 Sep 2021 11:58:47 +0000 (13:58 +0200)]
Merge pull request #12750 from kronbichler/avoid_unused_variable

Avoid warning about unused variable

3 years agoAvoid warning about unused variable 12750/head
Martin Kronbichler [Thu, 9 Sep 2021 07:42:39 +0000 (09:42 +0200)]
Avoid warning about unused variable

3 years agoMerge pull request #12692 from drwells/to-array
Martin Kronbichler [Thu, 9 Sep 2021 07:25:39 +0000 (09:25 +0200)]
Merge pull request #12692 from drwells/to-array

Make Tensor::unroll() work with iterators.

3 years agoMerge pull request #12744 from bergbauer/hessians_on_general_cells
Martin Kronbichler [Thu, 9 Sep 2021 07:23:08 +0000 (09:23 +0200)]
Merge pull request #12744 from bergbauer/hessians_on_general_cells

Hessians on general cells and faces

3 years agoChange Tensor::unroll() to take iterator pairs. 12692/head
David Wells [Fri, 20 Aug 2021 21:08:09 +0000 (17:08 -0400)]
Change Tensor::unroll() to take iterator pairs.

3 years agoMerge pull request #12749 from bangerth/size_type
David Wells [Wed, 8 Sep 2021 13:25:20 +0000 (09:25 -0400)]
Merge pull request #12749 from bangerth/size_type

Consistently declare size_type in preconditioners derived from PreconditionRelaxation.

3 years agoConsistently declare size_type in preconditioners derived from PreconditionRelaxation. 12749/head
Wolfgang Bangerth [Wed, 8 Sep 2021 02:31:52 +0000 (20:31 -0600)]
Consistently declare size_type in preconditioners derived from PreconditionRelaxation.

The base class declares a 'size_type' typedef, but only some of the derived classes
import it. Do so consistently, and do it by inheriting the type instead of
re-inventing the wheel.

3 years agoUse iterators in Tensor::unroll_recursion().
David Wells [Tue, 24 Aug 2021 18:27:24 +0000 (14:27 -0400)]
Use iterators in Tensor::unroll_recursion().

This makes the code applicable for more linear data structures than just Vector.

3 years agoMerge pull request #12747 from Rombur/fix_warnings
Wolfgang Bangerth [Tue, 7 Sep 2021 16:02:31 +0000 (10:02 -0600)]
Merge pull request #12747 from Rombur/fix_warnings

Fix unused-but-set-variable warnings

3 years agoMerge pull request #12748 from simonsticko/read_vtk_doc
Daniel Arndt [Tue, 7 Sep 2021 13:52:07 +0000 (09:52 -0400)]
Merge pull request #12748 from simonsticko/read_vtk_doc

Avoid comment from grid_in.cc showing up in doc of read_vtk.

3 years agoAvoid comment from grid_in.cc showing up in doc of read_vtk. 12748/head
Simon Sticko [Tue, 7 Sep 2021 13:19:49 +0000 (15:19 +0200)]
Avoid comment from grid_in.cc showing up in doc of read_vtk.

By changing the /// to // in the cc-file.

3 years agoFix unused-but-set-variabel warnings 12747/head
Bruno Turcksin [Tue, 7 Sep 2021 12:16:15 +0000 (12:16 +0000)]
Fix unused-but-set-variabel warnings

3 years agoHessains on general cells and faces 12744/head
Maximilian Bergbauer [Tue, 24 Aug 2021 07:40:34 +0000 (09:40 +0200)]
Hessains on general cells and faces

3 years agoMerge pull request #12741 from bangerth/47
Martin Kronbichler [Tue, 7 Sep 2021 05:09:15 +0000 (07:09 +0200)]
Merge pull request #12741 from bangerth/47

Adjust some symbols in step-47.

3 years agoMerge pull request #12746 from peterrum/MGTransferGlobalCoarsening_elements
Martin Kronbichler [Tue, 7 Sep 2021 05:08:10 +0000 (07:08 +0200)]
Merge pull request #12746 from peterrum/MGTransferGlobalCoarsening_elements

Update documentation of MGTransferGlobalCoarsening regarding supported elements

3 years agoMerge pull request #12738 from peterrum/interpolate_to_mg
Martin Kronbichler [Tue, 7 Sep 2021 05:07:42 +0000 (07:07 +0200)]
Merge pull request #12738 from peterrum/interpolate_to_mg

Fix MGTransferMatrixFree::interpolate_to_mg() for PBC

3 years agoUpdate documentation of MGTransferGlobalCoarsening regarding supported elements 12746/head
Peter Munch [Mon, 6 Sep 2021 16:24:07 +0000 (18:24 +0200)]
Update documentation of MGTransferGlobalCoarsening regarding supported elements

3 years agoMerge pull request #12731 from peterrum/gc_memory_consumption
Martin Kronbichler [Mon, 6 Sep 2021 18:14:02 +0000 (20:14 +0200)]
Merge pull request #12731 from peterrum/gc_memory_consumption

Implement MGTransferGlobalCoarsening::memory_consumption()

3 years agoFix MGTransferMatrixFree::interpolate_to_mg() for PBC 12738/head
Peter Munch [Fri, 3 Sep 2021 08:10:47 +0000 (10:10 +0200)]
Fix MGTransferMatrixFree::interpolate_to_mg() for PBC

3 years agoMerge pull request #12745 from peterrum/copy_to_mg_fix
Peter Munch [Mon, 6 Sep 2021 17:27:40 +0000 (19:27 +0200)]
Merge pull request #12745 from peterrum/copy_to_mg_fix

Fix MGTransferGlobalCoarsening::copy_to_mg()

3 years agoFix MGTransferGlobalCoarsening::copy_to_mg() 12745/head
Peter Munch [Mon, 6 Sep 2021 13:58:05 +0000 (15:58 +0200)]
Fix MGTransferGlobalCoarsening::copy_to_mg()


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