diff options
| author | Tor Aamodt <[email protected]> | 2010-10-01 08:55:28 -0800 |
|---|---|---|
| committer | Tor Aamodt <[email protected]> | 2010-10-01 08:55:28 -0800 |
| commit | 11b308e7363e937966b035b4891db32b4eece3bf (patch) | |
| tree | 50ca4c9ad6f163ac4acb2bf505e64dfebed66947 /benchmarks/CUDA/DG/3rdParty | |
| parent | bb820c116764d7a1b8e071137d32b74e7f34dd2f (diff) | |
integrating recent changes from fermi-test into fermi
(i'll use "fermi" for more disruptive changes to the pipeline model such
as updating the MSHRs and getting rid of the warp tracker, ripping out DWF, etc...)
[git-p4: depot-paths = "//depot/gpgpu_sim_research/fermi/distribution/": change = 7805]
Diffstat (limited to 'benchmarks/CUDA/DG/3rdParty')
146 files changed, 0 insertions, 51047 deletions
diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/CHANGES b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/CHANGES deleted file mode 100644 index 1b1e6d0..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/CHANGES +++ /dev/null @@ -1,144 +0,0 @@ - -Changes in version 3.1 -- The mesh partitioning and dual creation routines have changed to support mixed - element meshes. - -- The parmetis.h header file has been restructured and is now C++ friendly. - -- Fortran bindings/renamings for various routines have been added. - -- A number of bugs have been fixed. - - tpwgts are now respected for small graphs. - - fixed various divide by zero errors. - - removed dependency on the old drand48() routines. - - fixed some memory leaks. - - - -Changes in version 3.0 - -- The names and calling sequence of all the routines have changed due to expanded - functionality that has been provided in this release. However, the 2.0 API calls - have been mapped to the new routines. However, the expanded functionality provided - with this release is only available by using the new calling sequences. - -- The four adaptive repartitioning routines: - ParMETIS_RepartLDiffusion, - ParMETIS_RepartGDiffusion, - ParMETIS_RepartRemap, and - ParMETIS_RepartMLRemap, - have been replaced by a single routine called ParMETIS_V3_AdpativeRepart that - implements a unified repartitioning algorithm which combines the best features - of the previous routines. - -- Multiple vertex weights/balance constraints are supported for most of the - routines. This allows ParMETIS to be used to partition graphs for multi-phase - and multi-physics simulations. - -- In order to optimize partitionings for specific heterogeneous computing - architectures, it is now possible to specify the target sub-domain weights - for each of the sub-domains and for each balance constraint. This feature, - for example, allows the user to compute a partitioning in which one of the - sub-domains is twice the size of all of the others. - -- The number of sub-domains has been de-coupled from the number of processors - in both the static and the adaptive partitioning schemes. Hence, it is now - possible to use the parallel partitioning and repartitioning algorithms - to compute a k-way partitioning independent of the number of processors - that are used. Note that Version 2.0 provided this functionality for the - static partitioning schemes only. - -- Routines are provided for both directly partitioning a finite element mesh, - and for constructing the dual graph of a mesh in parallel. - - - -Changes in version 2.0 - -- Changed the names and calling sequences of all the routines to make it - easier to use ParMETIS with Fortran. - -- Improved the performance of the diffusive adaptive repartitioning - algorithms. - -- Added a new set of adaptive repartitioning routines that are based on the - remapping paradigm. These routines are called ParMETIS_RepartRemap and - ParMETIS_RepartMLRemap - -- The number of partitions has been de-coupled from the number of processors. - You can now use the parallel partitioning algorithms to compute a k-way - partitioning independent of the number of processors that you use. - -- The partitioning and ordering algorithms in ParMETIS now utilize various - portions of the serial METIS library. As a result of this, the quality - of the produced partitionings and orderings have been improved. - Remember to link your code with both libmetis.a and libparmetis.a - - -Changes in version 1.0 - -- Added partitioning routines that take advantage of coordinate information. - These routines are based on space-filling curves and they are used to - quickly compute a initial distribution for PARKMETIS. - A total of three routines have been added called PARGKMETIS, PARGRMETIS, - and PARGMETIS - -- Added a fill-reducing ordering routine that is based on multilevel nested - dissection. This is similar to the ordering routine in the serial Metis - with the difference that is directly computes and refines vertex - separators. The new routine is called PAROMETIS and returns the new ordering - of the local nodes plus a vector describing the sizes of the various - separators that form the elimination tree. - -- Changed the calling sequence again! I found it awkward to require that - communicators and other scalar quantities being passed by reference. - -- Fixed a number of memory leaks. - - - -Changes in version 0.3 - -- Incorporated parallel multilevel diffusion algorithms for repartitioning - adaptively refined meshes. Two routines have been added for this purpose: - PARUAMETIS that performs undirected multilevel diffusion - PARDAMETIS that performs directed multilevel diffusion - -- Changed the names and calling sequences of the parallel partitioning - and refinement algorithms. Now they are called PARKMETIS for the - k-way partitioning and PARRMETIS for the k-way refinement. - Also the calling sequence has been changed slightly to make ParMETIS - Fortran callable. - -- Added an additional option for selecting the algorithm for initial - partitioning at the coarsest graph. Now you have the choice of selecting - either a serial or a parallel algorithm. The parallel initial partitioning - speeds up the algorithm especially for large number of processors. - NOTE that the parallel initial partitioning works only for partitions that - are power of two. If you want partitions that are not power of two you must - use the old serial initial partitioning option. - -- Fixed some bugs in the initial partitioning code. - -- Made parallel k-way refinement more robust by randomly ordering the - processors at each phase - - -Changes in version 0.2 - -- A complete reworking of the primary algorithms. The performance - of the code has improved considerably. Over 30% on 128 processor - Cray T3D. Improvement should be higher on machines with high - latencies. - - Here are some performance numbers on T3D using Cray's MPI - for 2 graphs, mdual (0.25M vertices) and mdual2 (1.0M vertices) - - 16PEs 32PEs 64PEs 128PEs - mdual 4.07 2.97 2.82 - mdual2 15.02 8.89 6.12 5.75 - -- The quality of the produced partitions has been improved. -- Added options[2] to specify C or Fortran style numbering. - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/COPYRIGHT b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/COPYRIGHT deleted file mode 100644 index e6cdd3b..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/COPYRIGHT +++ /dev/null @@ -1,19 +0,0 @@ -Copyright Notice ----------------- - -The ParMETIS/METIS package is copyrighted by the Regents of the -University of Minnesota. It can be freely used for educational and -research purposes by non-profit institutions and US government agencies -only. Other organizations are allowed to use ParMETIS/METIS only for -evaluation purposes, and any further uses will require prior approval. -The software may not be sold or redistributed without prior approval. -One may make copies of the software for their use provided that the -copies, are not sold or distributed, are used under the same terms -and conditions. - -As unestablished research software, this code is provided on an -``as is'' basis without warranty of any kind, either expressed or -implied. The downloading, or executing any part of this software -constitutes an implicit agreement to these terms. These terms and -conditions are subject to change at any time without prior notice. - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Graphs/README b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Graphs/README deleted file mode 100644 index afa7e16..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Graphs/README +++ /dev/null @@ -1 +0,0 @@ -../Programs/Makefile craps out if it can't find this directory, so this dummy file is in perforce to make sure directory is added -GY diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/INSTALL b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/INSTALL deleted file mode 100644 index 8af32a4..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/INSTALL +++ /dev/null @@ -1,1961 +0,0 @@ - -INSTALLATION ------------- - - To build ParMetis you need to edit the Makefile.in and set the appropriate - parameters for 'CC'. The default is to use mpicc from MPICH. - After that just type 'make' to build the libraries (libmetis.a and - libparmetis.a). - - The header file parmetis.h can be used to provided the prototypes for - the various routines in ParMetis. - - -TESTING THE LIBRARY -------------------- - - To test the library go to the directory Graphs and execute the program - 'ptest' that is in that directory. You can test the direct mesh partitioning - routines by using the program 'meshtest'. - Sample output of these two tests have been appended in this file. - - NOTE-1: You must have at least 256MB per node in order for the test - to go through. - - NOTE-2: The results on your machine will most likely look different - because of differences in the random number generators. - Look if the test programs reports any 'incorrect' results. - If the test goes through correctly, then you have compiled - ParMetis successfully! - - - - -------------------------------------------------------------------------- -------------------------------------------------------------------------- -------------------------------------------------------------------------- -------------------------------------------------------------------------- -% mpirun -np 4 ptest rotor.graph - - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 1, Nparts: 8 - Setup: Max: 0.291, Sum: 0.789, Balance: 1.477 - Matching: Max: 0.618, Sum: 2.386, Balance: 1.035 -Contraction: Max: 0.522, Sum: 2.037, Balance: 1.026 - InitPart: Max: 0.044, Sum: 0.142, Balance: 1.248 - Project: Max: 0.024, Sum: 0.026, Balance: 3.641 - Initialize: Max: 0.212, Sum: 0.664, Balance: 1.275 - K-way: Max: 0.838, Sum: 3.210, Balance: 1.044 - Remap: Max: 0.000, Sum: -0.016, Balance: -0.021 - Total: Max: 2.476, Sum: 9.885, Balance: 1.002 -Final 8-way CUT: 14620 Balance: 1.049 avg: 1.049 -ParMETIS_V3_PartKway reported a cut of 14620 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 1, Nparts: 8 - Setup: Max: 0.244, Sum: 0.737, Balance: 1.325 - Matching: Max: 0.565, Sum: 2.201, Balance: 1.028 -Contraction: Max: 0.494, Sum: 1.967, Balance: 1.004 - InitPart: Max: 0.024, Sum: 0.089, Balance: 1.095 - Project: Max: 0.050, Sum: 0.127, Balance: 1.579 - Initialize: Max: 0.204, Sum: 0.708, Balance: 1.152 - K-way: Max: 0.783, Sum: 3.089, Balance: 1.014 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.213 - Total: Max: 2.361, Sum: 9.427, Balance: 1.002 -Final 8-way CUT: 15371 Balance: 1.046 avg: 1.046 -ParMETIS_V3_PartKway reported a cut of 15371 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 3, Nparts: 8 - Setup: Max: 0.216, Sum: 0.713, Balance: 1.212 - Matching: Max: 0.523, Sum: 2.042, Balance: 1.024 -Contraction: Max: 0.485, Sum: 1.909, Balance: 1.017 - InitPart: Max: 0.227, Sum: 0.902, Balance: 1.006 - Project: Max: 0.053, Sum: 0.141, Balance: 1.506 - Initialize: Max: 0.292, Sum: 1.058, Balance: 1.105 - K-way: Max: 0.858, Sum: 3.224, Balance: 1.065 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.016 - Total: Max: 2.601, Sum: 10.395, Balance: 1.001 -Final 8-way CUT: 24400 Balance: 1.047 1.044 1.046 avg: 1.046 -ParMETIS_V3_PartKway reported a cut of 24400 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 3, Nparts: 8 - Setup: Max: 0.224, Sum: 0.725, Balance: 1.234 - Matching: Max: 0.761, Sum: 3.014, Balance: 1.009 -Contraction: Max: 0.440, Sum: 1.732, Balance: 1.017 - InitPart: Max: 0.213, Sum: 0.847, Balance: 1.008 - Project: Max: 0.045, Sum: 0.072, Balance: 2.515 - Initialize: Max: 0.215, Sum: 0.673, Balance: 1.278 - K-way: Max: 0.857, Sum: 3.289, Balance: 1.042 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.010 - Total: Max: 2.696, Sum: 10.771, Balance: 1.001 -Final 8-way CUT: 23755 Balance: 1.050 1.047 1.048 avg: 1.048 -ParMETIS_V3_PartKway reported a cut of 23755 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 5, Nparts: 8 - Setup: Max: 0.258, Sum: 0.708, Balance: 1.455 - Matching: Max: 0.459, Sum: 1.797, Balance: 1.023 -Contraction: Max: 0.478, Sum: 1.841, Balance: 1.038 - InitPart: Max: 0.451, Sum: 1.800, Balance: 1.003 - Project: Max: 0.046, Sum: 0.123, Balance: 1.487 - Initialize: Max: 0.199, Sum: 0.699, Balance: 1.138 - K-way: Max: 0.854, Sum: 3.387, Balance: 1.009 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.039 - Total: Max: 2.725, Sum: 10.881, Balance: 1.002 -Final 8-way CUT: 25897 Balance: 1.049 1.050 1.044 1.047 1.049 avg: 1.048 -ParMETIS_V3_PartKway reported a cut of 25897 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 5, Nparts: 8 - Setup: Max: 0.225, Sum: 0.718, Balance: 1.255 - Matching: Max: 0.601, Sum: 2.350, Balance: 1.022 -Contraction: Max: 0.480, Sum: 1.885, Balance: 1.019 - InitPart: Max: 0.493, Sum: 1.967, Balance: 1.004 - Project: Max: 0.045, Sum: 0.150, Balance: 1.211 - Initialize: Max: 0.194, Sum: 0.648, Balance: 1.198 - K-way: Max: 0.857, Sum: 3.333, Balance: 1.029 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.016 - Total: Max: 2.869, Sum: 11.443, Balance: 1.003 -Final 8-way CUT: 26340 Balance: 1.049 1.043 1.044 1.050 1.050 avg: 1.047 -ParMETIS_V3_PartKway reported a cut of 26340 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 1, Nparts: 4 - Setup: Max: 0.284, Sum: 0.947, Balance: 1.198 - Matching: Max: 0.660, Sum: 2.609, Balance: 1.012 -Contraction: Max: 0.471, Sum: 1.824, Balance: 1.033 - InitPart: Max: 0.014, Sum: 0.054, Balance: 1.064 - Project: Max: 0.074, Sum: 0.183, Balance: 1.609 - Initialize: Max: 0.144, Sum: 0.491, Balance: 1.175 - K-way: Max: 0.785, Sum: 3.094, Balance: 1.014 - Remap: Max: 0.014, Sum: 0.050, Balance: 1.082 - Total: Max: 2.488, Sum: 9.937, Balance: 1.001 -Final 4-way CUT: 7782 Balance: 1.050 avg: 1.050 -ParMETIS_V3_PartKway reported a cut of 7782 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 1, Nparts: 4 - Setup: Max: 0.264, Sum: 0.883, Balance: 1.194 - Matching: Max: 0.574, Sum: 2.170, Balance: 1.057 -Contraction: Max: 0.459, Sum: 1.829, Balance: 1.004 - InitPart: Max: 0.016, Sum: 0.062, Balance: 1.060 - Project: Max: 0.048, Sum: 0.103, Balance: 1.884 - Initialize: Max: 0.148, Sum: 0.537, Balance: 1.106 - K-way: Max: 0.821, Sum: 3.186, Balance: 1.030 - Remap: Max: 0.010, Sum: 0.036, Balance: 1.138 - Total: Max: 2.348, Sum: 9.364, Balance: 1.003 -Final 4-way CUT: 8448 Balance: 1.034 avg: 1.034 -ParMETIS_V3_PartKway reported a cut of 8448 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 3, Nparts: 4 - Setup: Max: 0.278, Sum: 0.875, Balance: 1.269 - Matching: Max: 0.946, Sum: 3.670, Balance: 1.031 -Contraction: Max: 0.897, Sum: 3.577, Balance: 1.003 - InitPart: Max: 0.198, Sum: 0.790, Balance: 1.003 - Project: Max: 0.051, Sum: 0.174, Balance: 1.167 - Initialize: Max: 0.289, Sum: 1.127, Balance: 1.024 - K-way: Max: 1.475, Sum: 5.855, Balance: 1.008 - Remap: Max: 0.001, Sum: 0.001, Balance: 3.525 - Total: Max: 4.194, Sum: 16.766, Balance: 1.001 -Final 4-way CUT: 12108 Balance: 1.033 1.047 1.031 avg: 1.037 -ParMETIS_V3_PartKway reported a cut of 12108 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 3, Nparts: 4 - Setup: Max: 0.251, Sum: 0.797, Balance: 1.258 - Matching: Max: 0.669, Sum: 2.493, Balance: 1.074 -Contraction: Max: 0.601, Sum: 2.346, Balance: 1.025 - InitPart: Max: 0.102, Sum: 0.407, Balance: 1.003 - Project: Max: 0.082, Sum: 0.220, Balance: 1.499 - Initialize: Max: 0.194, Sum: 0.729, Balance: 1.067 - K-way: Max: 0.869, Sum: 3.317, Balance: 1.048 - Remap: Max: 0.012, Sum: 0.043, Balance: 1.093 - Total: Max: 2.719, Sum: 10.868, Balance: 1.001 -Final 4-way CUT: 13048 Balance: 1.049 1.048 1.035 avg: 1.044 -ParMETIS_V3_PartKway reported a cut of 13048 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 5, Nparts: 4 - Setup: Max: 0.251, Sum: 0.724, Balance: 1.388 - Matching: Max: 0.628, Sum: 2.416, Balance: 1.040 -Contraction: Max: 0.474, Sum: 1.887, Balance: 1.005 - InitPart: Max: 0.161, Sum: 0.637, Balance: 1.009 - Project: Max: 0.081, Sum: 0.236, Balance: 1.376 - Initialize: Max: 0.241, Sum: 0.789, Balance: 1.223 - K-way: Max: 1.024, Sum: 3.929, Balance: 1.043 - Remap: Max: 0.012, Sum: 0.044, Balance: 1.079 - Total: Max: 2.794, Sum: 11.162, Balance: 1.001 -Final 4-way CUT: 14978 Balance: 1.043 1.037 1.042 1.025 1.030 avg: 1.035 -ParMETIS_V3_PartKway reported a cut of 14978 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 5, Nparts: 4 - Setup: Max: 0.298, Sum: 0.779, Balance: 1.529 - Matching: Max: 0.652, Sum: 2.570, Balance: 1.015 -Contraction: Max: 0.699, Sum: 2.778, Balance: 1.007 - InitPart: Max: 0.164, Sum: 0.652, Balance: 1.005 - Project: Max: 0.056, Sum: 0.133, Balance: 1.682 - Initialize: Max: 0.202, Sum: 0.704, Balance: 1.145 - K-way: Max: 0.820, Sum: 3.143, Balance: 1.043 - Remap: Max: 0.012, Sum: 0.044, Balance: 1.063 - Total: Max: 2.855, Sum: 11.407, Balance: 1.001 -Final 4-way CUT: 14768 Balance: 1.017 1.028 1.018 1.027 1.035 avg: 1.025 -ParMETIS_V3_PartKway reported a cut of 14768 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 1, Nparts: 2 - Setup: Max: 0.251, Sum: 0.813, Balance: 1.237 - Matching: Max: 0.631, Sum: 2.385, Balance: 1.059 -Contraction: Max: 0.443, Sum: 1.757, Balance: 1.008 - InitPart: Max: 0.023, Sum: 0.086, Balance: 1.051 - Project: Max: 0.061, Sum: 0.190, Balance: 1.287 - Initialize: Max: 0.140, Sum: 0.483, Balance: 1.162 - K-way: Max: 0.618, Sum: 2.374, Balance: 1.042 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.022 - Total: Max: 2.195, Sum: 8.766, Balance: 1.001 -Final 2-way CUT: 2314 Balance: 1.048 avg: 1.048 -ParMETIS_V3_PartKway reported a cut of 2314 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 1, Nparts: 2 - Setup: Max: 0.247, Sum: 0.727, Balance: 1.362 - Matching: Max: 0.573, Sum: 2.272, Balance: 1.008 -Contraction: Max: 0.502, Sum: 1.982, Balance: 1.012 - InitPart: Max: 0.010, Sum: 0.037, Balance: 1.077 - Project: Max: 0.040, Sum: 0.149, Balance: 1.062 - Initialize: Max: 0.141, Sum: 0.527, Balance: 1.067 - K-way: Max: 0.612, Sum: 2.410, Balance: 1.015 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.078 - Total: Max: 2.150, Sum: 8.572, Balance: 1.003 -Final 2-way CUT: 2068 Balance: 1.047 avg: 1.047 -ParMETIS_V3_PartKway reported a cut of 2068 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 3, Nparts: 2 - Setup: Max: 0.268, Sum: 0.889, Balance: 1.204 - Matching: Max: 0.548, Sum: 2.108, Balance: 1.039 -Contraction: Max: 0.446, Sum: 1.775, Balance: 1.004 - InitPart: Max: 0.062, Sum: 0.243, Balance: 1.013 - Project: Max: 0.054, Sum: 0.156, Balance: 1.392 - Initialize: Max: 0.168, Sum: 0.574, Balance: 1.174 - K-way: Max: 0.791, Sum: 3.038, Balance: 1.042 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.032 - Total: Max: 2.358, Sum: 9.416, Balance: 1.002 -Final 2-way CUT: 6503 Balance: 1.028 1.035 1.041 avg: 1.035 -ParMETIS_V3_PartKway reported a cut of 6503 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 3, Nparts: 2 - Setup: Max: 0.200, Sum: 0.636, Balance: 1.258 - Matching: Max: 0.664, Sum: 2.539, Balance: 1.047 -Contraction: Max: 0.452, Sum: 1.783, Balance: 1.015 - InitPart: Max: 0.046, Sum: 0.182, Balance: 1.005 - Project: Max: 0.044, Sum: 0.129, Balance: 1.345 - Initialize: Max: 0.166, Sum: 0.558, Balance: 1.191 - K-way: Max: 0.704, Sum: 2.778, Balance: 1.014 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.013 - Total: Max: 2.317, Sum: 9.258, Balance: 1.001 -Final 2-way CUT: 5999 Balance: 1.013 1.018 1.044 avg: 1.025 -ParMETIS_V3_PartKway reported a cut of 5999 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 1}, Ncon: 5, Nparts: 2 - Setup: Max: 0.209, Sum: 0.701, Balance: 1.190 - Matching: Max: 0.503, Sum: 1.942, Balance: 1.037 -Contraction: Max: 0.567, Sum: 2.220, Balance: 1.022 - InitPart: Max: 0.066, Sum: 0.262, Balance: 1.005 - Project: Max: 0.095, Sum: 0.257, Balance: 1.473 - Initialize: Max: 0.150, Sum: 0.501, Balance: 1.201 - K-way: Max: 0.652, Sum: 2.539, Balance: 1.027 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.084 - Total: Max: 2.220, Sum: 8.872, Balance: 1.001 -Final 2-way CUT: 2482 Balance: 1.020 1.021 1.018 1.020 1.022 avg: 1.020 -ParMETIS_V3_PartKway reported a cut of 2482 - -Testing ParMETIS_V3_PartKway with options[1-2] = {3 2}, Ncon: 5, Nparts: 2 - Setup: Max: 0.286, Sum: 0.807, Balance: 1.416 - Matching: Max: 0.518, Sum: 1.977, Balance: 1.049 -Contraction: Max: 0.507, Sum: 1.978, Balance: 1.026 - InitPart: Max: 0.065, Sum: 0.254, Balance: 1.029 - Project: Max: 0.051, Sum: 0.112, Balance: 1.832 - Initialize: Max: 0.175, Sum: 0.502, Balance: 1.390 - K-way: Max: 0.721, Sum: 2.753, Balance: 1.048 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.022 - Total: Max: 2.233, Sum: 8.916, Balance: 1.002 -Final 2-way CUT: 2539 Balance: 1.005 1.005 1.006 1.006 1.005 avg: 1.005 -ParMETIS_V3_PartKway reported a cut of 2539 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 1, Nparts: 8 - Setup: Max: 0.190, Sum: 0.460, Balance: 1.651 - Total: Max: 3.549, Sum: 14.190, Balance: 1.000 -XYZ Cut: 417088 Balance: 1.000 [24905 99617 4] - Setup: Max: 4.012, Sum: 15.364, Balance: 1.044 - Matching: Max: 1.522, Sum: 6.034, Balance: 1.009 -Contraction: Max: 2.588, Sum: 10.293, Balance: 1.006 - InitPart: Max: 0.016, Sum: 0.063, Balance: 1.047 - Project: Max: 0.943, Sum: 1.055, Balance: 3.578 - Initialize: Max: 1.195, Sum: 3.759, Balance: 1.272 - K-way: Max: 0.857, Sum: 3.297, Balance: 1.040 - Move: Max: 2.255, Sum: 8.985, Balance: 1.004 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.058 - Total: Max: 13.646, Sum: 54.574, Balance: 1.000 -Final 8-way CUT: 15378 Balance: 1.049 avg: 1.049 -ParMETIS_V3_PartGeomKway reported a cut of 15378 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 1, Nparts: 8 - Setup: Max: 0.107, Sum: 0.336, Balance: 1.273 - Total: Max: 0.316, Sum: 1.259, Balance: 1.003 -XYZ Cut: 419906 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.957, Sum: 3.774, Balance: 1.014 - Matching: Max: 1.233, Sum: 4.857, Balance: 1.015 -Contraction: Max: 2.783, Sum: 11.127, Balance: 1.000 - InitPart: Max: 0.018, Sum: 0.069, Balance: 1.033 - Project: Max: 0.170, Sum: 0.235, Balance: 2.883 - Initialize: Max: 0.443, Sum: 1.365, Balance: 1.297 - K-way: Max: 0.818, Sum: 3.127, Balance: 1.047 - Move: Max: 9.035, Sum: 36.117, Balance: 1.001 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.030 - Total: Max: 6.582, Sum: 26.301, Balance: 1.001 -Final 8-way CUT: 14413 Balance: 1.046 avg: 1.046 -ParMETIS_V3_PartGeomKway reported a cut of 14413 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 3, Nparts: 8 - Setup: Max: 0.147, Sum: 0.488, Balance: 1.205 - Total: Max: 0.299, Sum: 1.192, Balance: 1.005 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.936, Sum: 3.241, Balance: 1.155 - Matching: Max: 0.680, Sum: 2.642, Balance: 1.030 -Contraction: Max: 1.163, Sum: 4.652, Balance: 1.000 - InitPart: Max: 0.234, Sum: 0.935, Balance: 1.002 - Project: Max: 0.079, Sum: 0.169, Balance: 1.874 - Initialize: Max: 0.270, Sum: 0.983, Balance: 1.100 - K-way: Max: 0.868, Sum: 3.287, Balance: 1.056 - Move: Max: 3.337, Sum: 13.333, Balance: 1.001 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.022 - Total: Max: 4.428, Sum: 17.694, Balance: 1.001 -Final 8-way CUT: 23489 Balance: 1.046 1.047 1.050 avg: 1.048 -ParMETIS_V3_PartGeomKway reported a cut of 23489 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 3, Nparts: 8 - Setup: Max: 0.215, Sum: 0.671, Balance: 1.282 - Total: Max: 0.355, Sum: 1.418, Balance: 1.002 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.834, Sum: 2.604, Balance: 1.282 - Matching: Max: 0.780, Sum: 3.046, Balance: 1.025 -Contraction: Max: 1.036, Sum: 4.131, Balance: 1.003 - InitPart: Max: 0.221, Sum: 0.884, Balance: 1.002 - Project: Max: 0.078, Sum: 0.204, Balance: 1.523 - Initialize: Max: 0.355, Sum: 1.265, Balance: 1.123 - K-way: Max: 0.870, Sum: 3.364, Balance: 1.035 - Move: Max: 1.618, Sum: 6.456, Balance: 1.002 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.043 - Total: Max: 4.332, Sum: 17.312, Balance: 1.001 -Final 8-way CUT: 23546 Balance: 1.048 1.045 1.043 avg: 1.045 -ParMETIS_V3_PartGeomKway reported a cut of 23546 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 5, Nparts: 8 - Setup: Max: 0.168, Sum: 0.486, Balance: 1.382 - Total: Max: 0.298, Sum: 1.187, Balance: 1.003 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.704, Sum: 2.160, Balance: 1.303 - Matching: Max: 0.569, Sum: 2.209, Balance: 1.031 -Contraction: Max: 1.035, Sum: 4.134, Balance: 1.001 - InitPart: Max: 0.335, Sum: 1.338, Balance: 1.002 - Project: Max: 0.073, Sum: 0.195, Balance: 1.506 - Initialize: Max: 0.303, Sum: 1.071, Balance: 1.131 - K-way: Max: 0.933, Sum: 3.528, Balance: 1.058 - Move: Max: 1.039, Sum: 4.124, Balance: 1.008 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.049 - Total: Max: 4.035, Sum: 16.114, Balance: 1.002 -Final 8-way CUT: 28349 Balance: 1.048 1.041 1.046 1.050 1.047 avg: 1.046 -ParMETIS_V3_PartGeomKway reported a cut of 28349 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 5, Nparts: 8 - Setup: Max: 0.102, Sum: 0.312, Balance: 1.309 - Total: Max: 0.193, Sum: 0.770, Balance: 1.005 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.574, Sum: 1.851, Balance: 1.241 - Matching: Max: 0.500, Sum: 1.935, Balance: 1.034 -Contraction: Max: 0.658, Sum: 2.614, Balance: 1.007 - InitPart: Max: 0.326, Sum: 1.300, Balance: 1.001 - Project: Max: 0.048, Sum: 0.157, Balance: 1.209 - Initialize: Max: 0.266, Sum: 0.931, Balance: 1.144 - K-way: Max: 0.903, Sum: 3.442, Balance: 1.049 - Move: Max: 0.580, Sum: 2.295, Balance: 1.011 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.028 - Total: Max: 3.401, Sum: 13.572, Balance: 1.002 -Final 8-way CUT: 27483 Balance: 1.044 1.050 1.037 1.045 1.045 avg: 1.044 -ParMETIS_V3_PartGeomKway reported a cut of 27483 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 1, Nparts: 4 - Setup: Max: 0.100, Sum: 0.298, Balance: 1.343 - Total: Max: 0.194, Sum: 0.738, Balance: 1.051 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.596, Sum: 1.766, Balance: 1.350 - Matching: Max: 0.555, Sum: 2.169, Balance: 1.023 -Contraction: Max: 0.641, Sum: 2.517, Balance: 1.018 - InitPart: Max: 0.014, Sum: 0.054, Balance: 1.036 - Project: Max: 0.080, Sum: 0.181, Balance: 1.775 - Initialize: Max: 0.236, Sum: 0.704, Balance: 1.339 - K-way: Max: 0.766, Sum: 2.940, Balance: 1.042 - Move: Max: 0.262, Sum: 1.031, Balance: 1.018 - Remap: Max: -0.006, Sum: -0.027, Balance: 0.973 - Total: Max: 2.949, Sum: 11.769, Balance: 1.002 -Final 4-way CUT: 8815 Balance: 1.028 avg: 1.028 -ParMETIS_V3_PartGeomKway reported a cut of 8815 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 1, Nparts: 4 - Setup: Max: 0.181, Sum: 0.472, Balance: 1.531 - Total: Max: 0.283, Sum: 1.133, Balance: 1.001 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.655, Sum: 1.957, Balance: 1.338 - Matching: Max: 0.629, Sum: 2.387, Balance: 1.054 -Contraction: Max: 0.618, Sum: 2.438, Balance: 1.013 - InitPart: Max: 0.026, Sum: 0.102, Balance: 1.019 - Project: Max: 0.074, Sum: 0.198, Balance: 1.500 - Initialize: Max: 0.205, Sum: 0.733, Balance: 1.117 - K-way: Max: 0.839, Sum: 3.283, Balance: 1.022 - Move: Max: 1.827, Sum: 7.270, Balance: 1.005 - Remap: Max: 0.012, Sum: 0.048, Balance: 1.034 - Total: Max: 3.226, Sum: 12.876, Balance: 1.002 -Final 4-way CUT: 8442 Balance: 1.046 avg: 1.046 -ParMETIS_V3_PartGeomKway reported a cut of 8442 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 3, Nparts: 4 - Setup: Max: 0.160, Sum: 0.513, Balance: 1.247 - Total: Max: 0.299, Sum: 1.194, Balance: 1.001 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.648, Sum: 2.097, Balance: 1.235 - Matching: Max: 0.507, Sum: 2.008, Balance: 1.010 -Contraction: Max: 0.647, Sum: 2.541, Balance: 1.019 - InitPart: Max: 0.104, Sum: 0.416, Balance: 1.004 - Project: Max: 0.047, Sum: 0.033, Balance: 5.662 - Initialize: Max: 0.268, Sum: 0.862, Balance: 1.244 - K-way: Max: 0.851, Sum: 3.172, Balance: 1.074 - Move: Max: 0.940, Sum: 3.739, Balance: 1.005 - Remap: Max: -0.002, Sum: -0.008, Balance: 0.964 - Total: Max: 3.187, Sum: 12.722, Balance: 1.002 -Final 4-way CUT: 12726 Balance: 1.035 1.019 1.039 avg: 1.031 -ParMETIS_V3_PartGeomKway reported a cut of 12726 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 3, Nparts: 4 - Setup: Max: 0.105, Sum: 0.288, Balance: 1.451 - Total: Max: 0.184, Sum: 0.733, Balance: 1.003 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.574, Sum: 1.709, Balance: 1.345 - Matching: Max: 0.565, Sum: 2.180, Balance: 1.037 -Contraction: Max: 0.765, Sum: 3.044, Balance: 1.005 - InitPart: Max: 0.105, Sum: 0.417, Balance: 1.005 - Project: Max: 0.086, Sum: 0.217, Balance: 1.593 - Initialize: Max: 0.288, Sum: 0.906, Balance: 1.271 - K-way: Max: 0.798, Sum: 3.034, Balance: 1.052 - Move: Max: 0.767, Sum: 3.042, Balance: 1.009 - Remap: Max: 0.010, Sum: 0.040, Balance: 1.016 - Total: Max: 3.240, Sum: 12.933, Balance: 1.002 -Final 4-way CUT: 14695 Balance: 1.034 1.012 1.018 avg: 1.021 -ParMETIS_V3_PartGeomKway reported a cut of 14695 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 5, Nparts: 4 - Setup: Max: 0.113, Sum: 0.268, Balance: 1.688 - Total: Max: 0.188, Sum: 0.749, Balance: 1.002 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.703, Sum: 1.983, Balance: 1.418 - Matching: Max: 0.620, Sum: 2.423, Balance: 1.023 -Contraction: Max: 0.669, Sum: 2.631, Balance: 1.017 - InitPart: Max: 0.169, Sum: 0.675, Balance: 1.004 - Project: Max: 0.057, Sum: 0.129, Balance: 1.770 - Initialize: Max: 0.251, Sum: 0.842, Balance: 1.190 - K-way: Max: 0.867, Sum: 3.321, Balance: 1.044 - Move: Max: 0.330, Sum: 1.303, Balance: 1.015 - Remap: Max: -0.004, Sum: -0.017, Balance: 0.879 - Total: Max: 3.364, Sum: 13.428, Balance: 1.002 -Final 4-way CUT: 14470 Balance: 1.045 1.031 1.032 1.041 1.034 avg: 1.037 -ParMETIS_V3_PartGeomKway reported a cut of 14470 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 5, Nparts: 4 - Setup: Max: 0.159, Sum: 0.354, Balance: 1.803 - Total: Max: 0.254, Sum: 1.015, Balance: 1.002 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.722, Sum: 2.256, Balance: 1.280 - Matching: Max: 0.640, Sum: 2.453, Balance: 1.043 -Contraction: Max: 0.803, Sum: 3.153, Balance: 1.019 - InitPart: Max: 0.147, Sum: 0.586, Balance: 1.003 - Project: Max: 0.065, Sum: 0.111, Balance: 2.346 - Initialize: Max: 0.231, Sum: 0.822, Balance: 1.125 - K-way: Max: 0.888, Sum: 3.417, Balance: 1.039 - Move: Max: 1.576, Sum: 6.284, Balance: 1.003 - Remap: Max: 0.013, Sum: 0.052, Balance: 1.011 - Total: Max: 3.636, Sum: 14.520, Balance: 1.002 -Final 4-way CUT: 13886 Balance: 1.039 1.044 1.030 1.040 1.013 avg: 1.033 -ParMETIS_V3_PartGeomKway reported a cut of 13886 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 1, Nparts: 2 - Setup: Max: 0.140, Sum: 0.409, Balance: 1.370 - Total: Max: 0.225, Sum: 0.894, Balance: 1.008 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.634, Sum: 1.852, Balance: 1.369 - Matching: Max: 0.560, Sum: 2.169, Balance: 1.033 -Contraction: Max: 0.652, Sum: 2.573, Balance: 1.014 - InitPart: Max: 0.016, Sum: 0.061, Balance: 1.027 - Project: Max: 0.049, Sum: 0.150, Balance: 1.301 - Initialize: Max: 0.205, Sum: 0.693, Balance: 1.183 - K-way: Max: 0.627, Sum: 2.386, Balance: 1.051 - Move: Max: 0.755, Sum: 3.006, Balance: 1.004 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.018 - Total: Max: 2.863, Sum: 11.433, Balance: 1.001 -Final 2-way CUT: 2511 Balance: 1.019 avg: 1.019 -ParMETIS_V3_PartGeomKway reported a cut of 2511 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 1, Nparts: 2 - Setup: Max: 0.271, Sum: 0.682, Balance: 1.588 - Total: Max: 0.340, Sum: 1.358, Balance: 1.001 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.745, Sum: 2.226, Balance: 1.339 - Matching: Max: 0.625, Sum: 2.355, Balance: 1.062 -Contraction: Max: 0.701, Sum: 2.619, Balance: 1.071 - InitPart: Max: 0.018, Sum: 0.071, Balance: 1.030 - Project: Max: 0.134, Sum: 0.313, Balance: 1.713 - Initialize: Max: 0.264, Sum: 0.893, Balance: 1.184 - K-way: Max: 1.009, Sum: 3.929, Balance: 1.028 - Move: Max: 2.843, Sum: 11.330, Balance: 1.004 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.019 - Total: Max: 3.507, Sum: 13.989, Balance: 1.003 -Final 2-way CUT: 2964 Balance: 1.000 avg: 1.000 -ParMETIS_V3_PartGeomKway reported a cut of 2964 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 3, Nparts: 2 - Setup: Max: 0.113, Sum: 0.373, Balance: 1.213 - Total: Max: 0.209, Sum: 0.835, Balance: 1.002 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.706, Sum: 2.162, Balance: 1.305 - Matching: Max: 0.603, Sum: 2.342, Balance: 1.030 -Contraction: Max: 0.645, Sum: 2.574, Balance: 1.003 - InitPart: Max: 0.053, Sum: 0.209, Balance: 1.012 - Project: Max: 0.056, Sum: 0.056, Balance: 4.037 - Initialize: Max: 0.229, Sum: 0.770, Balance: 1.192 - K-way: Max: 0.828, Sum: 3.080, Balance: 1.075 - Move: Max: 0.656, Sum: 2.568, Balance: 1.022 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.009 - Total: Max: 3.174, Sum: 12.646, Balance: 1.004 -Final 2-way CUT: 6395 Balance: 1.038 1.036 1.035 avg: 1.036 -ParMETIS_V3_PartGeomKway reported a cut of 6395 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 3, Nparts: 2 - Setup: Max: 0.214, Sum: 0.509, Balance: 1.683 - Total: Max: 0.324, Sum: 1.294, Balance: 1.001 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.682, Sum: 2.004, Balance: 1.362 - Matching: Max: 0.591, Sum: 2.258, Balance: 1.046 -Contraction: Max: 0.938, Sum: 3.709, Balance: 1.012 - InitPart: Max: 0.045, Sum: 0.178, Balance: 1.009 - Project: Max: 0.067, Sum: 0.183, Balance: 1.473 - Initialize: Max: 0.221, Sum: 0.762, Balance: 1.158 - K-way: Max: 0.764, Sum: 2.969, Balance: 1.030 - Move: Max: 0.710, Sum: 2.799, Balance: 1.015 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.018 - Total: Max: 3.443, Sum: 13.742, Balance: 1.002 -Final 2-way CUT: 6299 Balance: 1.003 1.003 1.004 avg: 1.003 -ParMETIS_V3_PartGeomKway reported a cut of 6299 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 1}, Ncon: 5, Nparts: 2 - Setup: Max: 0.134, Sum: 0.348, Balance: 1.539 - Total: Max: 0.221, Sum: 0.849, Balance: 1.039 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.600, Sum: 1.930, Balance: 1.243 - Matching: Max: 0.551, Sum: 2.096, Balance: 1.052 -Contraction: Max: 0.655, Sum: 2.576, Balance: 1.017 - InitPart: Max: 0.067, Sum: 0.268, Balance: 1.006 - Project: Max: 0.041, Sum: 0.048, Balance: 3.451 - Initialize: Max: 0.216, Sum: 0.684, Balance: 1.264 - K-way: Max: 0.702, Sum: 2.757, Balance: 1.018 - Move: Max: 0.803, Sum: 3.178, Balance: 1.010 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.024 - Total: Max: 2.977, Sum: 11.877, Balance: 1.003 -Final 2-way CUT: 2626 Balance: 1.022 1.029 1.029 1.030 1.038 avg: 1.029 -ParMETIS_V3_PartGeomKway reported a cut of 2626 - -Testing ParMETIS_V3_PartGeomKway with options[1-2] = {3 2}, Ncon: 5, Nparts: 2 - Setup: Max: 0.107, Sum: 0.263, Balance: 1.623 - Total: Max: 0.181, Sum: 0.723, Balance: 1.002 -XYZ Cut: 418507 Balance: 1.000 [24905 99617 4] - Setup: Max: 0.629, Sum: 1.818, Balance: 1.383 - Matching: Max: 0.567, Sum: 2.172, Balance: 1.044 -Contraction: Max: 0.663, Sum: 2.543, Balance: 1.043 - InitPart: Max: 0.066, Sum: 0.261, Balance: 1.006 - Project: Max: 0.051, Sum: 0.152, Balance: 1.341 - Initialize: Max: 0.166, Sum: 0.585, Balance: 1.137 - K-way: Max: 0.742, Sum: 2.856, Balance: 1.039 - Move: Max: 0.909, Sum: 3.611, Balance: 1.006 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.034 - Total: Max: 2.963, Sum: 11.818, Balance: 1.003 -Final 2-way CUT: 2423 Balance: 1.031 1.020 1.020 1.019 1.008 avg: 1.020 -ParMETIS_V3_PartGeomKway reported a cut of 2423 - -Testing ParMETIS_V3_PartGeom -ParMETIS_V3_PartGeom partition complete - -Testing ParMETIS_V3_RefineKway with default options (before move) - Setup: Max: 0.329, Sum: 0.914, Balance: 1.441 - Matching: Max: 0.247, Sum: 0.760, Balance: 1.301 -Contraction: Max: 0.345, Sum: 0.997, Balance: 1.383 - Project: Max: 0.011, Sum: 0.036, Balance: 1.200 - Initialize: Max: 0.302, Sum: 1.016, Balance: 1.189 - K-way: Max: 0.867, Sum: 3.290, Balance: 1.055 - Remap: Max: 0.010, Sum: 0.037, Balance: 1.112 - Total: Max: 2.032, Sum: 8.123, Balance: 1.001 -Final 4-way Cut: 20449 Balance: 1.050 -NMoved: 32025 11910 11068 22978 -ParMETIS_V3_RefineKway reported a cut of 20449 - -Testing ParMETIS_V3_RefineKway with options[1-3] = {3 1 1}, Ncon: 1, Nparts: 4 - Setup: Max: 0.075, Sum: 0.233, Balance: 1.288 - Matching: Max: 0.163, Sum: 0.622, Balance: 1.048 -Contraction: Max: 0.274, Sum: 0.767, Balance: 1.427 - Project: Max: 0.007, Sum: -0.015, Balance: -1.810 - Initialize: Max: 0.201, Sum: 0.667, Balance: 1.204 - K-way: Max: 0.435, Sum: 1.594, Balance: 1.093 - Remap: Max: -0.001, Sum: -0.011, Balance: 0.255 - Total: Max: 1.135, Sum: 4.536, Balance: 1.001 -Final 4-way Cut: 9124 Balance: 1.046 -NMoved: 140 77 91 168 -ParMETIS_V3_RefineKway reported a cut of 9124 - -Testing ParMETIS_V3_RefineKway with options[1-3] = {3 2 1}, Ncon: 1, Nparts: 4 - Setup: Max: 0.086, Sum: 0.274, Balance: 1.259 - Matching: Max: 0.089, Sum: 0.339, Balance: 1.048 -Contraction: Max: 0.338, Sum: 0.929, Balance: 1.456 - Project: Max: 0.007, Sum: 0.017, Balance: 1.758 - Initialize: Max: 0.191, Sum: 0.705, Balance: 1.083 - K-way: Max: 0.431, Sum: 1.635, Balance: 1.055 - Remap: Max: 0.010, Sum: 0.036, Balance: 1.156 - Total: Max: 1.167, Sum: 4.652, Balance: 1.003 -Final 4-way Cut: 9106 Balance: 1.045 -NMoved: 172 123 93 216 -ParMETIS_V3_RefineKway reported a cut of 9106 - -Testing ParMETIS_V3_RefineKway with options[1-3] = {3 1 1}, Ncon: 3, Nparts: 4 - Setup: Max: 0.120, Sum: 0.315, Balance: 1.526 - Matching: Max: 0.179, Sum: 0.666, Balance: 1.074 -Contraction: Max: 0.260, Sum: 0.769, Balance: 1.353 - Project: Max: 0.010, Sum: 0.033, Balance: 1.255 - Initialize: Max: 0.137, Sum: 0.487, Balance: 1.123 - K-way: Max: 0.518, Sum: 1.964, Balance: 1.056 - Remap: Max: 0.013, Sum: 0.031, Balance: 1.670 - Total: Max: 1.273, Sum: 5.088, Balance: 1.001 -Final 4-way Cut: 9018 Balance: 1.043 1.043 1.043 -NMoved: 260 135 100 235 -ParMETIS_V3_RefineKway reported a cut of 9018 - -Testing ParMETIS_V3_RefineKway with options[1-3] = {3 2 1}, Ncon: 3, Nparts: 4 - Setup: Max: 0.105, Sum: 0.347, Balance: 1.210 - Matching: Max: 0.213, Sum: 0.805, Balance: 1.058 -Contraction: Max: 0.310, Sum: 0.825, Balance: 1.504 - Project: Max: 0.009, Sum: -0.003, Balance: -12.691 - Initialize: Max: 0.135, Sum: 0.470, Balance: 1.150 - K-way: Max: 0.488, Sum: 1.774, Balance: 1.100 - Remap: Max: 0.011, Sum: 0.040, Balance: 1.107 - Total: Max: 1.304, Sum: 5.210, Balance: 1.001 -Final 4-way Cut: 9024 Balance: 1.043 1.043 1.043 -NMoved: 267 135 118 253 -ParMETIS_V3_RefineKway reported a cut of 9024 - -Testing ParMETIS_V3_RefineKway with options[1-3] = {3 1 1}, Ncon: 5, Nparts: 4 - Setup: Max: 0.113, Sum: 0.333, Balance: 1.364 - Matching: Max: 0.252, Sum: 0.916, Balance: 1.102 -Contraction: Max: 0.328, Sum: 0.814, Balance: 1.614 - Project: Max: 0.009, Sum: 0.002, Balance: 21.632 - Initialize: Max: 0.142, Sum: 0.500, Balance: 1.140 - K-way: Max: 0.557, Sum: 2.030, Balance: 1.097 - Remap: Max: 0.010, Sum: 0.035, Balance: 1.098 - Total: Max: 1.365, Sum: 5.454, Balance: 1.001 -Final 4-way Cut: 9081 Balance: 1.046 1.046 1.046 1.046 1.046 -NMoved: 192 135 100 235 -ParMETIS_V3_RefineKway reported a cut of 9081 - -Testing ParMETIS_V3_RefineKway with options[1-3] = {3 2 1}, Ncon: 5, Nparts: 4 - Setup: Max: 0.148, Sum: 0.373, Balance: 1.583 - Matching: Max: 0.226, Sum: 0.836, Balance: 1.084 -Contraction: Max: 0.330, Sum: 0.852, Balance: 1.549 - Project: Max: 0.011, Sum: 0.019, Balance: 2.309 - Initialize: Max: 0.134, Sum: 0.472, Balance: 1.137 - K-way: Max: 0.555, Sum: 2.154, Balance: 1.031 - Remap: Max: -0.006, Sum: -0.028, Balance: 0.854 - Total: Max: 1.408, Sum: 5.630, Balance: 1.001 -Final 4-way Cut: 9090 Balance: 1.045 1.045 1.045 1.045 1.045 -NMoved: 200 138 121 259 -ParMETIS_V3_RefineKway reported a cut of 9090 -Initial Load Imbalance: 1.3148, [26344 47967 145931] for afactor: 4 -Initial Load Imbalance: 1.6407, [35080 135843 331187] for afactor: 4 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1000.000, Ncon: 1, Nparts: 8 -[ 99617 1324862 23436 26023][400] -[ 51520 769504 12144 13427][400] -[ 26858 411494 6350 6981][400] -[ 14060 218252 3344 3633][400] -[ 7404 115538 1780 1896][400] -[ 3912 60528 960 993][400] -[ 2101 31812 521 530][400] -[ 1146 16602 283 291][400] -[ 641 8632 157 167][400] -[ 365 4570 88 96][400] -nvtxs: 365, balance: 1.019 -nvtxs: 641, cut: 23753, balance: 1.050 -nvtxs: 1146, cut: 23103, balance: 1.052 -nvtxs: 2101, cut: 22312, balance: 1.049 -nvtxs: 3912, cut: 21159, balance: 1.050 -nvtxs: 7404, cut: 20171, balance: 1.050 -nvtxs: 14060, cut: 19304, balance: 1.050 -nvtxs: 26858, cut: 18461, balance: 1.050 -nvtxs: 51520, cut: 17456, balance: 1.050 -nvtxs: 99617, cut: 16161, balance: 1.050 - Setup: Max: 0.097, Sum: 0.252, Balance: 1.544 - Matching: Max: 0.281, Sum: 1.081, Balance: 1.040 -Contraction: Max: 0.457, Sum: 1.793, Balance: 1.020 - InitPart: Max: 0.032, Sum: 0.124, Balance: 1.049 - Project: Max: 0.022, Sum: 0.044, Balance: 2.022 - Initialize: Max: 0.177, Sum: 0.590, Balance: 1.200 - K-way: Max: 0.743, Sum: 2.885, Balance: 1.031 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.292 - Total: Max: 1.964, Sum: 7.851, Balance: 1.001 -Final 8-way Cut: 16161 Balance: 1.050 -NMoved: 27541 7332 7369 14701 -ParMETIS_V3_AdaptiveRepart reported a cut of 16161 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1000.000, Ncon: 1, Nparts: 8 -[ 99617 1324862 23436 26023][400] -[ 51526 769238 12122 13433][400] -[ 26833 410954 6315 6981][400] -[ 14029 218176 3309 3638][400] -[ 7393 115482 1741 1919][400] -[ 3925 60784 921 1014][400] -[ 2098 31932 494 538][400] -[ 1137 16642 269 292][400] -[ 627 8640 149 161][400] -[ 355 4468 85 90][400] -nvtxs: 355, balance: 1.017 -nvtxs: 627, cut: 24572, balance: 1.048 -nvtxs: 1137, cut: 23125, balance: 1.046 -nvtxs: 2098, cut: 22008, balance: 1.049 -nvtxs: 3925, cut: 21385, balance: 1.051 -nvtxs: 7393, cut: 20507, balance: 1.050 -nvtxs: 14029, cut: 19749, balance: 1.050 -nvtxs: 26833, cut: 18945, balance: 1.050 -nvtxs: 51526, cut: 18010, balance: 1.050 -nvtxs: 99617, cut: 16894, balance: 1.050 - Setup: Max: 0.068, Sum: 0.124, Balance: 2.194 - Matching: Max: 0.281, Sum: 1.063, Balance: 1.058 -Contraction: Max: 0.383, Sum: 1.522, Balance: 1.007 - InitPart: Max: 0.031, Sum: 0.092, Balance: 1.359 - Project: Max: 0.029, Sum: 0.092, Balance: 1.252 - Initialize: Max: 0.186, Sum: 0.633, Balance: 1.174 - K-way: Max: 0.743, Sum: 2.884, Balance: 1.031 - Remap: Max: 0.000, Sum: 0.001, Balance: 2.075 - Total: Max: 1.876, Sum: 7.499, Balance: 1.001 -Final 8-way Cut: 16894 Balance: 1.050 -NMoved: 20370 6382 6395 12777 -ParMETIS_V3_AdaptiveRepart reported a cut of 16894 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1.000, Ncon: 1, Nparts: 8 -[ 99617 1324862 23436 26023][400] -[ 51520 769504 12144 13427][400] -[ 26858 411494 6350 6981][400] -[ 14060 218252 3344 3633][400] -[ 7404 115538 1780 1896][400] -[ 3912 60528 960 993][400] -[ 2101 31812 521 530][400] -[ 1146 16602 283 291][400] -[ 641 8632 157 167][400] -[ 365 4570 88 96][400] -nvtxs: 365, balance: 1.055 -nvtxs: 641, cut: 28724, balance: 1.049 -nvtxs: 1146, cut: 26926, balance: 1.050 -nvtxs: 2101, cut: 25830, balance: 1.050 -nvtxs: 3912, cut: 25333, balance: 1.050 -nvtxs: 7404, cut: 24637, balance: 1.051 -nvtxs: 14060, cut: 23627, balance: 1.050 -nvtxs: 26858, cut: 22880, balance: 1.050 -nvtxs: 51520, cut: 21888, balance: 1.050 -nvtxs: 99617, cut: 20532, balance: 1.050 - Setup: Max: 0.115, Sum: 0.290, Balance: 1.579 - Matching: Max: 0.268, Sum: 0.987, Balance: 1.084 -Contraction: Max: 0.369, Sum: 1.441, Balance: 1.025 - InitPart: Max: 0.034, Sum: 0.116, Balance: 1.177 - Project: Max: 0.023, Sum: 0.026, Balance: 3.561 - Initialize: Max: 0.210, Sum: 0.651, Balance: 1.289 - K-way: Max: 0.801, Sum: 2.982, Balance: 1.074 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.261 - Total: Max: 1.905, Sum: 7.612, Balance: 1.001 -Final 8-way Cut: 20532 Balance: 1.050 -NMoved: 12975 5875 4424 10299 -ParMETIS_V3_AdaptiveRepart reported a cut of 20532 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1.000, Ncon: 1, Nparts: 8 -[ 99617 1324862 23436 26023][400] -[ 51526 769238 12122 13433][400] -[ 26833 410954 6315 6981][400] -[ 14029 218176 3309 3638][400] -[ 7393 115482 1741 1919][400] -[ 3925 60784 921 1014][400] -[ 2098 31932 494 538][400] -[ 1137 16642 269 292][400] -[ 627 8640 149 161][400] -[ 355 4468 85 90][400] -nvtxs: 355, balance: 1.078 -nvtxs: 627, cut: 26717, balance: 1.049 -nvtxs: 1137, cut: 25875, balance: 1.048 -nvtxs: 2098, cut: 23702, balance: 1.050 -nvtxs: 3925, cut: 22721, balance: 1.050 -nvtxs: 7393, cut: 21980, balance: 1.050 -nvtxs: 14029, cut: 20698, balance: 1.050 -nvtxs: 26833, cut: 19922, balance: 1.050 -nvtxs: 51526, cut: 19108, balance: 1.050 -nvtxs: 99617, cut: 18235, balance: 1.050 - Setup: Max: 0.124, Sum: 0.324, Balance: 1.526 - Matching: Max: 0.260, Sum: 0.971, Balance: 1.072 -Contraction: Max: 0.365, Sum: 1.433, Balance: 1.020 - InitPart: Max: 0.029, Sum: 0.073, Balance: 1.566 - Project: Max: 0.033, Sum: 0.060, Balance: 2.183 - Initialize: Max: 0.207, Sum: 0.664, Balance: 1.248 - K-way: Max: 0.717, Sum: 2.756, Balance: 1.040 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.367 - Total: Max: 1.862, Sum: 7.442, Balance: 1.001 -Final 8-way Cut: 18235 Balance: 1.050 -NMoved: 13188 5310 3945 9255 -ParMETIS_V3_AdaptiveRepart reported a cut of 18235 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 0.001, Ncon: 1, Nparts: 8 -[ 99617 1324862 23436 26023][400] -[ 51520 769504 12144 13427][400] -[ 26858 411494 6350 6981][400] -[ 14060 218252 3344 3633][400] -[ 7404 115538 1780 1896][400] -[ 3912 60528 960 993][400] -[ 2101 31812 521 530][400] -[ 1146 16602 283 291][400] -[ 641 8632 157 167][400] -[ 365 4570 88 96][400] -nvtxs: 365, balance: 1.055 -nvtxs: 641, cut: 35651, balance: 1.056 -nvtxs: 1146, cut: 35763, balance: 1.056 -nvtxs: 2101, cut: 35878, balance: 1.056 -nvtxs: 3912, cut: 35801, balance: 1.056 -nvtxs: 7404, cut: 35770, balance: 1.056 -nvtxs: 14060, cut: 35796, balance: 1.056 -nvtxs: 26858, cut: 35784, balance: 1.056 -nvtxs: 51520, cut: 35777, balance: 1.056 -nvtxs: 99617, cut: 35750, balance: 1.056 - Setup: Max: 0.096, Sum: 0.223, Balance: 1.714 - Matching: Max: 0.299, Sum: 1.111, Balance: 1.076 -Contraction: Max: 0.379, Sum: 1.483, Balance: 1.022 - InitPart: Max: 0.039, Sum: 0.150, Balance: 1.035 - Project: Max: 0.046, Sum: 0.091, Balance: 2.028 - Initialize: Max: 0.255, Sum: 0.704, Balance: 1.450 - K-way: Max: 0.694, Sum: 2.595, Balance: 1.070 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.424 - Total: Max: 1.841, Sum: 7.359, Balance: 1.000 -Final 8-way Cut: 35750 Balance: 1.056 -NMoved: 11612 4910 4255 9165 -ParMETIS_V3_AdaptiveRepart reported a cut of 35750 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 0.001, Ncon: 1, Nparts: 8 -[ 99617 1324862 23436 26023][400] -[ 51526 769238 12122 13433][400] -[ 26833 410954 6315 6981][400] -[ 14029 218176 3309 3638][400] -[ 7393 115482 1741 1919][400] -[ 3925 60784 921 1014][400] -[ 2098 31932 494 538][400] -[ 1137 16642 269 292][400] -[ 627 8640 149 161][400] -[ 355 4468 85 90][400] -nvtxs: 355, balance: 1.078 -nvtxs: 627, cut: 36167, balance: 1.077 -nvtxs: 1137, cut: 35876, balance: 1.077 -nvtxs: 2098, cut: 36252, balance: 1.071 -nvtxs: 3925, cut: 36197, balance: 1.071 -nvtxs: 7393, cut: 36104, balance: 1.071 -nvtxs: 14029, cut: 36147, balance: 1.071 -nvtxs: 26833, cut: 36042, balance: 1.070 -nvtxs: 51526, cut: 36100, balance: 1.070 -nvtxs: 99617, cut: 36211, balance: 1.069 - Setup: Max: 0.090, Sum: 0.285, Balance: 1.256 - Matching: Max: 0.284, Sum: 1.100, Balance: 1.031 -Contraction: Max: 0.366, Sum: 1.422, Balance: 1.030 - InitPart: Max: 0.035, Sum: 0.133, Balance: 1.044 - Project: Max: 0.032, Sum: 0.063, Balance: 2.018 - Initialize: Max: 0.244, Sum: 0.798, Balance: 1.225 - K-way: Max: 0.679, Sum: 2.596, Balance: 1.046 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.452 - Total: Max: 1.852, Sum: 7.379, Balance: 1.004 -Final 8-way Cut: 36211 Balance: 1.069 -NMoved: 11045 4330 3954 8284 -ParMETIS_V3_AdaptiveRepart reported a cut of 36211 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1000.000, Ncon: 3, Nparts: 8 -[ 99617 1324862 23436 26023][1200] -[ 51520 769504 12144 13427][1200] -[ 26792 410272 6326 6969][1200] -[ 13981 216770 3319 3623][1200] -[ 7338 114436 1750 1897][1200] -[ 3870 60218 928 995][1200] -[ 2066 31410 500 530][1200] -[ 1120 16380 274 285][1200] -nvtxs: 1120, balance: 1.008 1.010 1.010 -nvtxs: 2066, cut: 36476, balance: 1.047 1.048 1.036 -nvtxs: 3870, cut: 34085, balance: 1.049 1.047 1.044 -nvtxs: 7338, cut: 31995, balance: 1.051 1.048 1.037 -nvtxs: 13981, cut: 30120, balance: 1.041 1.050 1.036 -nvtxs: 26792, cut: 28468, balance: 1.045 1.045 1.037 -nvtxs: 51520, cut: 26657, balance: 1.043 1.040 1.041 -nvtxs: 99617, cut: 24463, balance: 1.043 1.047 1.050 - Setup: Max: 0.096, Sum: 0.243, Balance: 1.577 - Matching: Max: 0.302, Sum: 1.147, Balance: 1.053 -Contraction: Max: 0.334, Sum: 1.315, Balance: 1.017 - InitPart: Max: 0.350, Sum: 1.393, Balance: 1.004 - Project: Max: 0.030, Sum: -0.007, Balance: -17.571 - Initialize: Max: 0.141, Sum: 0.503, Balance: 1.124 - K-way: Max: 0.824, Sum: 3.109, Balance: 1.060 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.408 - Total: Max: 2.216, Sum: 8.858, Balance: 1.001 -Final 8-way Cut: 24463 Balance: 1.043 1.047 1.050 -NMoved: 59087 8982 9669 18651 -ParMETIS_V3_AdaptiveRepart reported a cut of 24463 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1000.000, Ncon: 3, Nparts: 8 -[ 99617 1324862 23436 26023][1200] -[ 51526 769238 12122 13433][1200] -[ 26780 409760 6306 6964][1200] -[ 13964 216890 3300 3618][1200] -[ 7324 114522 1749 1892][1200] -[ 3861 60152 931 996][1200] -[ 2067 31478 501 532][1200] -[ 1121 16376 274 285][1200] -nvtxs: 1121, balance: 1.007 1.008 1.014 -nvtxs: 2067, cut: 35458, balance: 1.049 1.045 1.038 -nvtxs: 3861, cut: 33140, balance: 1.049 1.046 1.030 -nvtxs: 7324, cut: 31642, balance: 1.050 1.044 1.037 -nvtxs: 13964, cut: 29859, balance: 1.049 1.045 1.041 -nvtxs: 26780, cut: 28382, balance: 1.050 1.044 1.039 -nvtxs: 51526, cut: 26891, balance: 1.046 1.050 1.037 -nvtxs: 99617, cut: 24686, balance: 1.046 1.049 1.045 - Setup: Max: 0.048, Sum: 0.148, Balance: 1.289 - Matching: Max: 0.323, Sum: 1.243, Balance: 1.038 -Contraction: Max: 0.350, Sum: 1.381, Balance: 1.015 - InitPart: Max: 0.321, Sum: 1.279, Balance: 1.004 - Project: Max: 0.022, Sum: 0.033, Balance: 2.685 - Initialize: Max: 0.144, Sum: 0.506, Balance: 1.141 - K-way: Max: 0.789, Sum: 2.986, Balance: 1.057 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.451 - Total: Max: 2.180, Sum: 8.712, Balance: 1.001 -Final 8-way Cut: 24686 Balance: 1.046 1.049 1.045 -NMoved: 61678 11392 11729 23121 -ParMETIS_V3_AdaptiveRepart reported a cut of 24686 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1.000, Ncon: 3, Nparts: 8 -[ 99617 1324862 23436 26023][1200] -[ 51520 769504 12144 13427][1200] -[ 26792 410272 6326 6969][1200] -[ 13981 216770 3319 3623][1200] -[ 7338 114436 1750 1897][1200] -[ 3870 60218 928 995][1200] -[ 2066 31410 500 530][1200] -[ 1120 16380 274 285][1200] -nvtxs: 1120, balance: 1.008 1.010 1.010 -nvtxs: 2066, cut: 36252, balance: 1.049 1.040 1.042 -nvtxs: 3870, cut: 34229, balance: 1.050 1.035 1.049 -nvtxs: 7338, cut: 31989, balance: 1.045 1.041 1.050 -nvtxs: 13981, cut: 30260, balance: 1.040 1.050 1.050 -nvtxs: 26792, cut: 28645, balance: 1.045 1.045 1.050 -nvtxs: 51520, cut: 26769, balance: 1.042 1.049 1.050 -nvtxs: 99617, cut: 24759, balance: 1.043 1.050 1.050 - Setup: Max: 0.053, Sum: 0.154, Balance: 1.370 - Matching: Max: 0.266, Sum: 1.039, Balance: 1.023 -Contraction: Max: 0.373, Sum: 1.491, Balance: 1.002 - InitPart: Max: 0.328, Sum: 1.310, Balance: 1.003 - Project: Max: 0.024, Sum: 0.059, Balance: 1.611 - Initialize: Max: 0.129, Sum: 0.453, Balance: 1.138 - K-way: Max: 0.819, Sum: 3.081, Balance: 1.063 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.367 - Total: Max: 2.226, Sum: 8.896, Balance: 1.001 -Final 8-way Cut: 24759 Balance: 1.043 1.050 1.050 -NMoved: 57772 8347 9197 17544 -ParMETIS_V3_AdaptiveRepart reported a cut of 24759 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1.000, Ncon: 3, Nparts: 8 -[ 99617 1324862 23436 26023][1200] -[ 51526 769238 12122 13433][1200] -[ 26780 409760 6306 6964][1200] -[ 13964 216890 3300 3618][1200] -[ 7324 114522 1749 1892][1200] -[ 3861 60152 931 996][1200] -[ 2067 31478 501 532][1200] -[ 1121 16376 274 285][1200] -nvtxs: 1121, balance: 1.007 1.008 1.014 -nvtxs: 2067, cut: 35452, balance: 1.029 1.025 1.048 -nvtxs: 3861, cut: 33287, balance: 1.041 1.032 1.049 -nvtxs: 7324, cut: 31629, balance: 1.049 1.042 1.050 -nvtxs: 13964, cut: 30125, balance: 1.044 1.040 1.050 -nvtxs: 26780, cut: 28710, balance: 1.044 1.039 1.050 -nvtxs: 51526, cut: 27075, balance: 1.043 1.050 1.050 -nvtxs: 99617, cut: 24948, balance: 1.043 1.050 1.050 - Setup: Max: 0.070, Sum: 0.147, Balance: 1.917 - Matching: Max: 0.302, Sum: 1.192, Balance: 1.013 -Contraction: Max: 0.329, Sum: 1.282, Balance: 1.026 - InitPart: Max: 0.331, Sum: 1.320, Balance: 1.004 - Project: Max: 0.032, Sum: 0.064, Balance: 1.990 - Initialize: Max: 0.146, Sum: 0.565, Balance: 1.030 - K-way: Max: 0.806, Sum: 3.051, Balance: 1.056 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.454 - Total: Max: 2.217, Sum: 8.851, Balance: 1.002 -Final 8-way Cut: 24948 Balance: 1.043 1.050 1.050 -NMoved: 60554 11264 11726 22990 -ParMETIS_V3_AdaptiveRepart reported a cut of 24948 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 0.001, Ncon: 3, Nparts: 8 -[ 99617 1324862 23436 26023][1200] -[ 51520 769504 12144 13427][1200] -[ 26792 410272 6326 6969][1200] -[ 13981 216770 3319 3623][1200] -[ 7338 114436 1750 1897][1200] -[ 3870 60218 928 995][1200] -[ 2066 31410 500 530][1200] -[ 1120 16380 274 285][1200] -nvtxs: 1120, balance: 1.008 1.010 1.010 -nvtxs: 2066, cut: 52145, balance: 1.051 1.043 1.053 -nvtxs: 3870, cut: 52590, balance: 1.049 1.050 1.053 -nvtxs: 7338, cut: 52697, balance: 1.050 1.049 1.051 -nvtxs: 13981, cut: 52701, balance: 1.051 1.050 1.050 -nvtxs: 26792, cut: 52816, balance: 1.050 1.050 1.050 -nvtxs: 51520, cut: 52771, balance: 1.050 1.050 1.050 -nvtxs: 99617, cut: 52766, balance: 1.050 1.050 1.050 - Setup: Max: 0.086, Sum: 0.229, Balance: 1.496 - Matching: Max: 0.400, Sum: 1.565, Balance: 1.022 -Contraction: Max: 0.411, Sum: 1.639, Balance: 1.002 - InitPart: Max: 0.330, Sum: 1.315, Balance: 1.004 - Project: Max: 0.048, Sum: 0.098, Balance: 1.977 - Initialize: Max: 0.144, Sum: 0.565, Balance: 1.022 - K-way: Max: 0.711, Sum: 2.689, Balance: 1.058 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.404 - Total: Max: 2.369, Sum: 9.472, Balance: 1.001 -Final 8-way Cut: 52766 Balance: 1.050 1.050 1.050 -NMoved: 55215 8044 8937 16981 -ParMETIS_V3_AdaptiveRepart reported a cut of 52766 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 0.001, Ncon: 3, Nparts: 8 -[ 99617 1324862 23436 26023][1200] -[ 51526 769238 12122 13433][1200] -[ 26780 409760 6306 6964][1200] -[ 13964 216890 3300 3618][1200] -[ 7324 114522 1749 1892][1200] -[ 3861 60152 931 996][1200] -[ 2067 31478 501 532][1200] -[ 1121 16376 274 285][1200] -nvtxs: 1121, balance: 1.007 1.008 1.014 -nvtxs: 2067, cut: 54557, balance: 1.051 1.050 1.049 -nvtxs: 3861, cut: 54729, balance: 1.050 1.050 1.050 -nvtxs: 7324, cut: 54778, balance: 1.050 1.050 1.050 -nvtxs: 13964, cut: 54927, balance: 1.050 1.050 1.050 -nvtxs: 26780, cut: 54850, balance: 1.050 1.050 1.051 -nvtxs: 51526, cut: 54904, balance: 1.050 1.050 1.050 -nvtxs: 99617, cut: 54771, balance: 1.050 1.050 1.050 - Setup: Max: 0.084, Sum: 0.241, Balance: 1.399 - Matching: Max: 0.284, Sum: 1.075, Balance: 1.056 -Contraction: Max: 0.404, Sum: 1.607, Balance: 1.005 - InitPart: Max: 0.342, Sum: 1.357, Balance: 1.009 - Project: Max: 0.028, Sum: 0.051, Balance: 2.211 - Initialize: Max: 0.133, Sum: 0.511, Balance: 1.038 - K-way: Max: 0.838, Sum: 3.176, Balance: 1.056 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.446 - Total: Max: 2.343, Sum: 9.356, Balance: 1.002 -Final 8-way Cut: 54771 Balance: 1.050 1.050 1.050 -NMoved: 57592 10695 10795 21490 -ParMETIS_V3_AdaptiveRepart reported a cut of 54771 -Initial Load Imbalance: 1.5768, [214985 574403 1457095] for afactor: 4 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1000.000, Ncon: 1, Nparts: 4 -[ 99617 1324862 23436 26023][200] -[ 51494 769096 12134 13452][200] -[ 26776 410992 6313 7001][200] -[ 14000 218130 3303 3662][200] -[ 7354 114978 1737 1927][200] -[ 3887 60418 920 1018][200] -[ 2072 31328 495 543][200] -[ 1117 16208 267 293][200] -[ 615 8340 146 162][200] -[ 349 4308 81 94][200] -[ 203 2244 46 55][200] -nvtxs: 203, balance: 1.001 -nvtxs: 349, cut: 16162, balance: 1.037 -nvtxs: 615, cut: 15156, balance: 1.046 -nvtxs: 1117, cut: 14700, balance: 1.046 -nvtxs: 2072, cut: 13210, balance: 1.034 -nvtxs: 3887, cut: 12774, balance: 1.034 -nvtxs: 7354, cut: 12299, balance: 1.033 -nvtxs: 14000, cut: 11602, balance: 1.034 -nvtxs: 26776, cut: 10987, balance: 1.031 -nvtxs: 51494, cut: 10376, balance: 1.031 -nvtxs: 99617, cut: 9458, balance: 1.031 - Setup: Max: 0.133, Sum: 0.346, Balance: 1.543 - Matching: Max: 0.169, Sum: 0.604, Balance: 1.118 -Contraction: Max: 0.246, Sum: 0.665, Balance: 1.476 - InitPart: Max: 0.023, Sum: 0.046, Balance: 2.026 - Project: Max: 0.009, Sum: 0.016, Balance: 2.205 - Initialize: Max: 0.198, Sum: 0.567, Balance: 1.395 - K-way: Max: 0.732, Sum: 2.741, Balance: 1.068 - Remap: Max: 0.013, Sum: 0.047, Balance: 1.109 - Total: Max: 1.636, Sum: 6.517, Balance: 1.004 -Final 4-way Cut: 9458 Balance: 1.031 -NMoved: 47151 21129 25998 47127 -ParMETIS_V3_AdaptiveRepart reported a cut of 9458 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1000.000, Ncon: 1, Nparts: 4 -[ 99617 1324862 23436 26023][200] -[ 51513 768928 12122 13449][200] -[ 26792 410712 6304 7002][200] -[ 14015 218024 3307 3669][200] -[ 7368 115250 1741 1938][200] -[ 3896 60636 924 1032][200] -[ 2074 31366 497 549][200] -[ 1114 16162 268 296][200] -[ 614 8372 146 163][200] -[ 347 4332 82 94][200] -[ 202 2208 46 55][200] -nvtxs: 202, balance: 1.014 -nvtxs: 347, cut: 13219, balance: 1.049 -nvtxs: 614, cut: 12390, balance: 1.022 -nvtxs: 1114, cut: 11556, balance: 1.035 -nvtxs: 2074, cut: 10991, balance: 1.035 -nvtxs: 3896, cut: 10310, balance: 1.033 -nvtxs: 7368, cut: 9863, balance: 1.035 -nvtxs: 14015, cut: 9431, balance: 1.032 -nvtxs: 26792, cut: 8958, balance: 1.032 -nvtxs: 51513, cut: 8530, balance: 1.034 -nvtxs: 99617, cut: 7736, balance: 1.035 - Setup: Max: 0.057, Sum: 0.125, Balance: 1.814 - Matching: Max: 0.154, Sum: 0.568, Balance: 1.085 -Contraction: Max: 0.371, Sum: 0.986, Balance: 1.504 - InitPart: Max: 0.027, Sum: 0.058, Balance: 1.831 - Project: Max: 0.009, Sum: 0.018, Balance: 2.114 - Initialize: Max: 0.213, Sum: 0.593, Balance: 1.440 - K-way: Max: 0.677, Sum: 2.526, Balance: 1.071 - Remap: Max: 0.011, Sum: 0.016, Balance: 2.948 - Total: Max: 1.670, Sum: 6.673, Balance: 1.001 -Final 4-way Cut: 7736 Balance: 1.035 -NMoved: 39521 17820 13718 31538 -ParMETIS_V3_AdaptiveRepart reported a cut of 7736 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1.000, Ncon: 1, Nparts: 4 -[ 99617 1324862 23436 26023][200] -[ 51494 769096 12134 13452][200] -[ 26776 410992 6313 7001][200] -[ 14000 218130 3303 3662][200] -[ 7354 114978 1737 1927][200] -[ 3887 60418 920 1018][200] -[ 2072 31328 495 543][200] -[ 1117 16208 267 293][200] -[ 615 8340 146 162][200] -[ 349 4308 81 94][200] -[ 203 2244 46 55][200] -nvtxs: 203, balance: 1.032 -nvtxs: 349, cut: 13934, balance: 1.051 -nvtxs: 615, cut: 13934, balance: 1.051 -nvtxs: 1117, cut: 13715, balance: 1.051 -nvtxs: 2072, cut: 13400, balance: 1.049 -nvtxs: 3887, cut: 13266, balance: 1.049 -nvtxs: 7354, cut: 12976, balance: 1.050 -nvtxs: 14000, cut: 12434, balance: 1.050 -nvtxs: 26776, cut: 12019, balance: 1.050 -nvtxs: 51494, cut: 11264, balance: 1.050 -nvtxs: 99617, cut: 10545, balance: 1.050 - Setup: Max: 0.124, Sum: 0.281, Balance: 1.765 - Matching: Max: 0.102, Sum: 0.381, Balance: 1.066 -Contraction: Max: 0.314, Sum: 0.823, Balance: 1.527 - InitPart: Max: 0.014, Sum: 0.047, Balance: 1.188 - Project: Max: 0.008, Sum: -0.017, Balance: -1.841 - Initialize: Max: 0.186, Sum: 0.597, Balance: 1.245 - K-way: Max: 0.726, Sum: 2.809, Balance: 1.033 - Remap: Max: -0.005, Sum: -0.026, Balance: 0.810 - Total: Max: 1.631, Sum: 6.494, Balance: 1.004 -Final 4-way Cut: 10545 Balance: 1.050 -NMoved: 8690 5183 7307 12490 -ParMETIS_V3_AdaptiveRepart reported a cut of 10545 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1.000, Ncon: 1, Nparts: 4 -[ 99617 1324862 23436 26023][200] -[ 51513 768928 12122 13449][200] -[ 26792 410712 6304 7002][200] -[ 14015 218024 3307 3669][200] -[ 7368 115250 1741 1938][200] -[ 3896 60636 924 1032][200] -[ 2074 31366 497 549][200] -[ 1114 16162 268 296][200] -[ 614 8372 146 163][200] -[ 347 4332 82 94][200] -[ 202 2208 46 55][200] -nvtxs: 202, balance: 1.017 -nvtxs: 347, cut: 13505, balance: 1.047 -nvtxs: 614, cut: 12827, balance: 1.047 -nvtxs: 1114, cut: 11908, balance: 1.042 -nvtxs: 2074, cut: 11715, balance: 1.046 -nvtxs: 3896, cut: 11564, balance: 1.050 -nvtxs: 7368, cut: 11290, balance: 1.050 -nvtxs: 14015, cut: 11030, balance: 1.050 -nvtxs: 26792, cut: 10753, balance: 1.049 -nvtxs: 51513, cut: 10438, balance: 1.048 -nvtxs: 99617, cut: 10032, balance: 1.048 - Setup: Max: 0.082, Sum: 0.292, Balance: 1.128 - Matching: Max: 0.224, Sum: 0.862, Balance: 1.042 -Contraction: Max: 0.306, Sum: 0.802, Balance: 1.526 - InitPart: Max: 0.015, Sum: 0.052, Balance: 1.127 - Project: Max: 0.008, Sum: 0.019, Balance: 1.739 - Initialize: Max: 0.194, Sum: 0.579, Balance: 1.342 - K-way: Max: 0.675, Sum: 2.516, Balance: 1.074 - Remap: Max: 0.010, Sum: 0.010, Balance: 3.895 - Total: Max: 1.690, Sum: 6.748, Balance: 1.002 -Final 4-way Cut: 10032 Balance: 1.048 -NMoved: 8390 5353 8135 13488 -ParMETIS_V3_AdaptiveRepart reported a cut of 10032 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 0.001, Ncon: 1, Nparts: 4 -[ 99617 1324862 23436 26023][200] -[ 51494 769096 12134 13452][200] -[ 26776 410992 6313 7001][200] -[ 14000 218130 3303 3662][200] -[ 7354 114978 1737 1927][200] -[ 3887 60418 920 1018][200] -[ 2072 31328 495 543][200] -[ 1117 16208 267 293][200] -[ 615 8340 146 162][200] -[ 349 4308 81 94][200] -[ 203 2244 46 55][200] -nvtxs: 203, balance: 1.032 -nvtxs: 349, cut: 19274, balance: 1.044 -nvtxs: 615, cut: 19350, balance: 1.050 -nvtxs: 1117, cut: 19350, balance: 1.050 -nvtxs: 2072, cut: 19144, balance: 1.050 -nvtxs: 3887, cut: 19154, balance: 1.050 -nvtxs: 7354, cut: 19142, balance: 1.050 -nvtxs: 14000, cut: 19108, balance: 1.050 -nvtxs: 26776, cut: 19115, balance: 1.050 -nvtxs: 51494, cut: 19026, balance: 1.050 -nvtxs: 99617, cut: 18963, balance: 1.050 - Setup: Max: 0.141, Sum: 0.389, Balance: 1.450 - Matching: Max: 0.186, Sum: 0.697, Balance: 1.068 -Contraction: Max: 0.258, Sum: 0.667, Balance: 1.545 - InitPart: Max: 0.008, Sum: 0.027, Balance: 1.182 - Project: Max: 0.009, Sum: 0.017, Balance: 2.101 - Initialize: Max: 0.196, Sum: 0.678, Balance: 1.157 - K-way: Max: 0.546, Sum: 2.157, Balance: 1.012 - Remap: Max: 0.010, Sum: 0.007, Balance: 5.760 - Total: Max: 1.593, Sum: 6.366, Balance: 1.001 -Final 4-way Cut: 18963 Balance: 1.050 -NMoved: 7733 4841 7630 12471 -ParMETIS_V3_AdaptiveRepart reported a cut of 18963 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 0.001, Ncon: 1, Nparts: 4 -[ 99617 1324862 23436 26023][200] -[ 51513 768928 12122 13449][200] -[ 26792 410712 6304 7002][200] -[ 14015 218024 3307 3669][200] -[ 7368 115250 1741 1938][200] -[ 3896 60636 924 1032][200] -[ 2074 31366 497 549][200] -[ 1114 16162 268 296][200] -[ 614 8372 146 163][200] -[ 347 4332 82 94][200] -[ 202 2208 46 55][200] -nvtxs: 202, balance: 1.017 -nvtxs: 347, cut: 18114, balance: 1.048 -nvtxs: 614, cut: 16822, balance: 1.049 -nvtxs: 1114, cut: 16946, balance: 1.050 -nvtxs: 2074, cut: 16967, balance: 1.050 -nvtxs: 3896, cut: 16894, balance: 1.050 -nvtxs: 7368, cut: 16703, balance: 1.050 -nvtxs: 14015, cut: 16489, balance: 1.050 -nvtxs: 26792, cut: 16439, balance: 1.050 -nvtxs: 51513, cut: 16380, balance: 1.050 -nvtxs: 99617, cut: 16260, balance: 1.050 - Setup: Max: 0.092, Sum: 0.276, Balance: 1.335 - Matching: Max: 0.132, Sum: 0.445, Balance: 1.186 -Contraction: Max: 0.293, Sum: 0.744, Balance: 1.575 - InitPart: Max: 0.015, Sum: 0.057, Balance: 1.085 - Project: Max: 0.009, Sum: 0.017, Balance: 2.047 - Initialize: Max: 0.230, Sum: 0.729, Balance: 1.264 - K-way: Max: 0.591, Sum: 2.221, Balance: 1.064 - Remap: Max: 0.012, Sum: 0.042, Balance: 1.174 - Total: Max: 1.496, Sum: 5.981, Balance: 1.001 -Final 4-way Cut: 16260 Balance: 1.050 -NMoved: 7277 4459 7277 11736 -ParMETIS_V3_AdaptiveRepart reported a cut of 16260 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1000.000, Ncon: 3, Nparts: 4 -[ 99617 1324862 23436 26023][600] -[ 51499 769386 12144 13447][600] -[ 26728 409462 6315 6969][600] -[ 13941 216690 3313 3637][600] -[ 7302 114216 1747 1907][600] -[ 3855 59716 927 1007][600] -[ 2051 31140 496 537][600] -[ 1104 16236 267 290][600] -[ 600 8228 145 158][600] -nvtxs: 600, balance: 1.011 1.014 1.009 -nvtxs: 1104, cut: 20053, balance: 1.046 1.033 1.045 -nvtxs: 2051, cut: 18748, balance: 1.047 1.034 1.043 -nvtxs: 3855, cut: 17630, balance: 1.050 1.044 1.044 -nvtxs: 7302, cut: 16458, balance: 1.049 1.033 1.050 -nvtxs: 13941, cut: 15557, balance: 1.050 1.034 1.046 -nvtxs: 26728, cut: 14382, balance: 1.050 1.034 1.049 -nvtxs: 51499, cut: 13462, balance: 1.050 1.035 1.049 -nvtxs: 99617, cut: 12123, balance: 1.050 1.035 1.050 - Setup: Max: 0.081, Sum: 0.220, Balance: 1.466 - Matching: Max: 0.227, Sum: 0.858, Balance: 1.058 -Contraction: Max: 0.296, Sum: 0.770, Balance: 1.539 - InitPart: Max: 0.145, Sum: 0.576, Balance: 1.009 - Project: Max: 0.009, Sum: 0.018, Balance: 1.977 - Initialize: Max: 0.167, Sum: 0.615, Balance: 1.084 - K-way: Max: 0.768, Sum: 2.848, Balance: 1.078 - Remap: Max: 0.014, Sum: 0.050, Balance: 1.150 - Total: Max: 1.855, Sum: 7.409, Balance: 1.001 -Final 4-way Cut: 12123 Balance: 1.050 1.035 1.050 -NMoved: 55390 16752 20755 37507 -ParMETIS_V3_AdaptiveRepart reported a cut of 12123 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1000.000, Ncon: 3, Nparts: 4 -[ 99617 1324862 23436 26023][600] -[ 51520 769370 12126 13457][600] -[ 26721 409750 6303 6989][600] -[ 13940 216498 3302 3643][600] -[ 7302 113832 1728 1911][600] -[ 3846 59572 911 1007][600] -[ 2043 30980 486 534][600] -[ 1091 15974 265 282][600] -[ 599 8310 146 153][600] -nvtxs: 599, balance: 1.008 1.011 1.010 -nvtxs: 1091, cut: 21500, balance: 1.032 1.029 1.045 -nvtxs: 2043, cut: 19508, balance: 1.042 1.031 1.037 -nvtxs: 3846, cut: 18434, balance: 1.049 1.035 1.038 -nvtxs: 7302, cut: 17511, balance: 1.050 1.035 1.039 -nvtxs: 13940, cut: 16472, balance: 1.047 1.034 1.041 -nvtxs: 26721, cut: 15399, balance: 1.045 1.034 1.037 -nvtxs: 51520, cut: 14437, balance: 1.046 1.035 1.036 -nvtxs: 99617, cut: 13001, balance: 1.039 1.033 1.037 - Setup: Max: 0.089, Sum: 0.257, Balance: 1.389 - Matching: Max: 0.167, Sum: 0.634, Balance: 1.057 -Contraction: Max: 0.307, Sum: 0.795, Balance: 1.544 - InitPart: Max: 0.142, Sum: 0.532, Balance: 1.067 - Project: Max: 0.010, Sum: 0.004, Balance: 10.812 - Initialize: Max: 0.132, Sum: 0.470, Balance: 1.124 - K-way: Max: 0.756, Sum: 2.847, Balance: 1.062 - Remap: Max: 0.014, Sum: 0.048, Balance: 1.144 - Total: Max: 1.876, Sum: 7.478, Balance: 1.004 -Final 4-way Cut: 13001 Balance: 1.039 1.033 1.037 -NMoved: 54017 15326 19382 34708 -ParMETIS_V3_AdaptiveRepart reported a cut of 13001 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1.000, Ncon: 3, Nparts: 4 -[ 99617 1324862 23436 26023][600] -[ 51499 769386 12144 13447][600] -[ 26728 409462 6315 6969][600] -[ 13941 216690 3313 3637][600] -[ 7302 114216 1747 1907][600] -[ 3855 59716 927 1007][600] -[ 2051 31140 496 537][600] -[ 1104 16236 267 290][600] -[ 600 8228 145 158][600] -nvtxs: 600, balance: 1.011 1.014 1.009 -nvtxs: 1104, cut: 19801, balance: 1.046 1.037 1.042 -nvtxs: 2051, cut: 18711, balance: 1.049 1.037 1.045 -nvtxs: 3855, cut: 17700, balance: 1.050 1.037 1.049 -nvtxs: 7302, cut: 16476, balance: 1.047 1.035 1.049 -nvtxs: 13941, cut: 15574, balance: 1.050 1.036 1.049 -nvtxs: 26728, cut: 14417, balance: 1.049 1.036 1.050 -nvtxs: 51499, cut: 13531, balance: 1.050 1.037 1.050 -nvtxs: 99617, cut: 12140, balance: 1.049 1.037 1.050 - Setup: Max: 0.155, Sum: 0.433, Balance: 1.436 - Matching: Max: 0.241, Sum: 0.911, Balance: 1.059 -Contraction: Max: 0.276, Sum: 0.778, Balance: 1.421 - InitPart: Max: 0.145, Sum: 0.576, Balance: 1.006 - Project: Max: 0.009, Sum: 0.021, Balance: 1.713 - Initialize: Max: 0.127, Sum: 0.491, Balance: 1.037 - K-way: Max: 0.747, Sum: 2.793, Balance: 1.070 - Remap: Max: 0.007, Sum: 0.020, Balance: 1.294 - Total: Max: 1.947, Sum: 7.785, Balance: 1.000 -Final 4-way Cut: 12140 Balance: 1.049 1.037 1.050 -NMoved: 54484 16279 20241 36520 -ParMETIS_V3_AdaptiveRepart reported a cut of 12140 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1.000, Ncon: 3, Nparts: 4 -[ 99617 1324862 23436 26023][600] -[ 51520 769370 12126 13457][600] -[ 26721 409750 6303 6989][600] -[ 13940 216498 3302 3643][600] -[ 7302 113832 1728 1911][600] -[ 3846 59572 911 1007][600] -[ 2043 30980 486 534][600] -[ 1091 15974 265 282][600] -[ 599 8310 146 153][600] -nvtxs: 599, balance: 1.008 1.011 1.010 -nvtxs: 1091, cut: 20920, balance: 1.039 1.030 1.049 -nvtxs: 2043, cut: 19258, balance: 1.030 1.030 1.049 -nvtxs: 3846, cut: 18393, balance: 1.035 1.032 1.050 -nvtxs: 7302, cut: 17607, balance: 1.039 1.034 1.049 -nvtxs: 13940, cut: 16660, balance: 1.028 1.031 1.050 -nvtxs: 26721, cut: 15771, balance: 1.027 1.032 1.050 -nvtxs: 51520, cut: 14727, balance: 1.032 1.033 1.050 -nvtxs: 99617, cut: 13389, balance: 1.022 1.031 1.050 - Setup: Max: 0.102, Sum: 0.219, Balance: 1.857 - Matching: Max: 0.235, Sum: 0.860, Balance: 1.092 -Contraction: Max: 0.283, Sum: 0.749, Balance: 1.510 - InitPart: Max: 0.137, Sum: 0.540, Balance: 1.017 - Project: Max: 0.009, Sum: 0.002, Balance: 17.060 - Initialize: Max: 0.174, Sum: 0.575, Balance: 1.214 - K-way: Max: 0.828, Sum: 3.095, Balance: 1.070 - Remap: Max: -0.002, Sum: -0.015, Balance: 0.665 - Total: Max: 1.992, Sum: 7.938, Balance: 1.004 -Final 4-way Cut: 13389 Balance: 1.022 1.031 1.050 -NMoved: 52163 14831 18484 33315 -ParMETIS_V3_AdaptiveRepart reported a cut of 13389 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 0.001, Ncon: 3, Nparts: 4 -[ 99617 1324862 23436 26023][600] -[ 51499 769386 12144 13447][600] -[ 26728 409462 6315 6969][600] -[ 13941 216690 3313 3637][600] -[ 7302 114216 1747 1907][600] -[ 3855 59716 927 1007][600] -[ 2051 31140 496 537][600] -[ 1104 16236 267 290][600] -[ 600 8228 145 158][600] -nvtxs: 600, balance: 1.011 1.014 1.009 -nvtxs: 1104, cut: 45769, balance: 1.034 1.050 1.045 -nvtxs: 2051, cut: 46714, balance: 1.048 1.050 1.048 -nvtxs: 3855, cut: 47003, balance: 1.050 1.050 1.050 -nvtxs: 7302, cut: 47459, balance: 1.050 1.050 1.049 -nvtxs: 13941, cut: 47929, balance: 1.050 1.050 1.049 -nvtxs: 26728, cut: 47864, balance: 1.050 1.050 1.049 -nvtxs: 51499, cut: 48068, balance: 1.049 1.050 1.050 -nvtxs: 99617, cut: 47806, balance: 1.049 1.050 1.050 - Setup: Max: 0.126, Sum: 0.371, Balance: 1.362 - Matching: Max: 0.266, Sum: 0.965, Balance: 1.101 -Contraction: Max: 0.290, Sum: 0.696, Balance: 1.667 - InitPart: Max: 0.154, Sum: 0.578, Balance: 1.064 - Project: Max: 0.009, Sum: 0.020, Balance: 1.872 - Initialize: Max: 0.142, Sum: 0.522, Balance: 1.088 - K-way: Max: 0.830, Sum: 3.124, Balance: 1.063 - Remap: Max: -0.004, Sum: -0.021, Balance: 0.788 - Total: Max: 2.030, Sum: 8.117, Balance: 1.001 -Final 4-way Cut: 47806 Balance: 1.049 1.050 1.050 -NMoved: 44285 12496 14914 27410 -ParMETIS_V3_AdaptiveRepart reported a cut of 47806 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 0.001, Ncon: 3, Nparts: 4 -[ 99617 1324862 23436 26023][600] -[ 51520 769370 12126 13457][600] -[ 26721 409750 6303 6989][600] -[ 13940 216498 3302 3643][600] -[ 7302 113832 1728 1911][600] -[ 3846 59572 911 1007][600] -[ 2043 30980 486 534][600] -[ 1091 15974 265 282][600] -[ 599 8310 146 153][600] -nvtxs: 599, balance: 1.008 1.011 1.010 -nvtxs: 1091, cut: 37579, balance: 1.049 1.047 1.050 -nvtxs: 2043, cut: 38920, balance: 1.042 1.050 1.050 -nvtxs: 3846, cut: 40489, balance: 1.044 1.051 1.050 -nvtxs: 7302, cut: 41381, balance: 1.049 1.050 1.050 -nvtxs: 13940, cut: 41381, balance: 1.048 1.050 1.050 -nvtxs: 26721, cut: 41946, balance: 1.050 1.050 1.049 -nvtxs: 51520, cut: 42014, balance: 1.049 1.050 1.050 -nvtxs: 99617, cut: 41808, balance: 1.050 1.050 1.050 - Setup: Max: 0.129, Sum: 0.333, Balance: 1.543 - Matching: Max: 0.243, Sum: 0.935, Balance: 1.039 -Contraction: Max: 0.338, Sum: 0.892, Balance: 1.516 - InitPart: Max: 0.138, Sum: 0.552, Balance: 1.003 - Project: Max: 0.010, Sum: 0.037, Balance: 1.070 - Initialize: Max: 0.172, Sum: 0.604, Balance: 1.136 - K-way: Max: 0.806, Sum: 2.998, Balance: 1.075 - Remap: Max: -0.003, Sum: -0.015, Balance: 0.718 - Total: Max: 2.041, Sum: 8.160, Balance: 1.001 -Final 4-way Cut: 41808 Balance: 1.050 1.050 1.050 -NMoved: 46032 13318 16812 30130 -ParMETIS_V3_AdaptiveRepart reported a cut of 41808 -Initial Load Imbalance: 1.1933, [173610 310283 1040090] for afactor: 4 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1000.000, Ncon: 1, Nparts: 2 -[ 99617 1324862 23436 26023][200] -[ 51474 768976 12144 13415][200] -[ 26794 410198 6335 6975][200] -[ 13996 217118 3315 3639][200] -[ 7354 114922 1754 1922][200] -[ 3881 60458 933 1013][200] -[ 2070 31578 509 540][200] -[ 1118 16218 268 293][200] -[ 615 8424 146 161][200] -[ 344 4400 82 92][200] -[ 196 2260 44 55][200] -nvtxs: 196, balance: 1.030 -nvtxs: 344, cut: 2281, balance: 1.030 -nvtxs: 615, cut: 2281, balance: 1.030 -nvtxs: 1118, cut: 2281, balance: 1.030 -nvtxs: 2070, cut: 2281, balance: 1.030 -nvtxs: 3881, cut: 2281, balance: 1.030 -nvtxs: 7354, cut: 2281, balance: 1.030 -nvtxs: 13996, cut: 2281, balance: 1.030 -nvtxs: 26794, cut: 2281, balance: 1.030 -nvtxs: 51474, cut: 2276, balance: 1.030 -nvtxs: 99617, cut: 2276, balance: 1.030 - Setup: Max: 0.069, Sum: 0.229, Balance: 1.213 - Matching: Max: 0.277, Sum: 1.043, Balance: 1.063 -Contraction: Max: 0.382, Sum: 1.494, Balance: 1.022 - Project: Max: 0.051, Sum: 0.103, Balance: 1.986 - Initialize: Max: 0.143, Sum: 0.503, Balance: 1.140 - K-way: Max: 0.250, Sum: 0.782, Balance: 1.279 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.298 - Total: Max: 1.315, Sum: 5.253, Balance: 1.001 -Final 2-way Cut: 2276 Balance: 1.030 -NMoved: 6 4 4 8 -ParMETIS_V3_AdaptiveRepart reported a cut of 2276 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1000.000, Ncon: 1, Nparts: 2 -[ 99617 1324862 23436 26023][200] -[ 51467 768770 12119 13407][200] -[ 26758 410182 6309 6966][200] -[ 13973 217278 3305 3631][200] -[ 7332 114684 1742 1901][200] -[ 3869 60258 930 995][200] -[ 2064 31426 502 526][200] -[ 1117 16294 274 285][200] -[ 611 8534 151 155][200] -[ 344 4442 83 87][200] -[ 197 2300 47 51][200] -nvtxs: 197, balance: 1.030 -nvtxs: 344, cut: 2281, balance: 1.030 -nvtxs: 611, cut: 2281, balance: 1.030 -nvtxs: 1117, cut: 2281, balance: 1.030 -nvtxs: 2064, cut: 2281, balance: 1.030 -nvtxs: 3869, cut: 2281, balance: 1.030 -nvtxs: 7332, cut: 2281, balance: 1.030 -nvtxs: 13973, cut: 2281, balance: 1.030 -nvtxs: 26758, cut: 2281, balance: 1.030 -nvtxs: 51467, cut: 2280, balance: 1.030 -nvtxs: 99617, cut: 2280, balance: 1.030 - Setup: Max: 0.119, Sum: 0.377, Balance: 1.264 - Matching: Max: 0.378, Sum: 1.397, Balance: 1.083 -Contraction: Max: 0.498, Sum: 1.903, Balance: 1.046 - Project: Max: 0.015, Sum: 0.007, Balance: 8.124 - Initialize: Max: 0.141, Sum: 0.525, Balance: 1.073 - K-way: Max: 0.244, Sum: 0.859, Balance: 1.136 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.426 - Total: Max: 1.574, Sum: 6.254, Balance: 1.007 -Final 2-way Cut: 2280 Balance: 1.030 -NMoved: 2 2 2 4 -ParMETIS_V3_AdaptiveRepart reported a cut of 2280 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1.000, Ncon: 1, Nparts: 2 -[ 99617 1324862 23436 26023][200] -[ 51474 768976 12144 13415][200] -[ 26794 410198 6335 6975][200] -[ 13996 217118 3315 3639][200] -[ 7354 114922 1754 1922][200] -[ 3881 60458 933 1013][200] -[ 2070 31578 509 540][200] -[ 1118 16218 268 293][200] -[ 615 8424 146 161][200] -[ 344 4400 82 92][200] -[ 196 2260 44 55][200] -nvtxs: 196, balance: 1.030 -nvtxs: 344, cut: 2281, balance: 1.030 -nvtxs: 615, cut: 2281, balance: 1.030 -nvtxs: 1118, cut: 2281, balance: 1.030 -nvtxs: 2070, cut: 2281, balance: 1.030 -nvtxs: 3881, cut: 2281, balance: 1.030 -nvtxs: 7354, cut: 2281, balance: 1.030 -nvtxs: 13996, cut: 2281, balance: 1.030 -nvtxs: 26794, cut: 2281, balance: 1.030 -nvtxs: 51474, cut: 2276, balance: 1.030 -nvtxs: 99617, cut: 2276, balance: 1.030 - Setup: Max: 0.132, Sum: 0.304, Balance: 1.735 - Matching: Max: 0.301, Sum: 1.161, Balance: 1.036 -Contraction: Max: 0.348, Sum: 1.370, Balance: 1.015 - Project: Max: 0.029, Sum: 0.095, Balance: 1.210 - Initialize: Max: 0.129, Sum: 0.471, Balance: 1.097 - K-way: Max: 0.212, Sum: 0.824, Balance: 1.030 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.428 - Total: Max: 1.359, Sum: 5.405, Balance: 1.006 -Final 2-way Cut: 2276 Balance: 1.030 -NMoved: 6 4 4 8 -ParMETIS_V3_AdaptiveRepart reported a cut of 2276 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1.000, Ncon: 1, Nparts: 2 -[ 99617 1324862 23436 26023][200] -[ 51467 768770 12119 13407][200] -[ 26758 410182 6309 6966][200] -[ 13973 217278 3305 3631][200] -[ 7332 114684 1742 1901][200] -[ 3869 60258 930 995][200] -[ 2064 31426 502 526][200] -[ 1117 16294 274 285][200] -[ 611 8534 151 155][200] -[ 344 4442 83 87][200] -[ 197 2300 47 51][200] -nvtxs: 197, balance: 1.030 -nvtxs: 344, cut: 2281, balance: 1.030 -nvtxs: 611, cut: 2281, balance: 1.030 -nvtxs: 1117, cut: 2281, balance: 1.030 -nvtxs: 2064, cut: 2281, balance: 1.030 -nvtxs: 3869, cut: 2281, balance: 1.030 -nvtxs: 7332, cut: 2281, balance: 1.030 -nvtxs: 13973, cut: 2281, balance: 1.030 -nvtxs: 26758, cut: 2281, balance: 1.030 -nvtxs: 51467, cut: 2280, balance: 1.030 -nvtxs: 99617, cut: 2280, balance: 1.030 - Setup: Max: 0.101, Sum: 0.252, Balance: 1.601 - Matching: Max: 0.311, Sum: 1.127, Balance: 1.103 -Contraction: Max: 0.390, Sum: 1.511, Balance: 1.032 - Project: Max: 0.017, Sum: 0.011, Balance: 5.845 - Initialize: Max: 0.134, Sum: 0.463, Balance: 1.154 - K-way: Max: 0.256, Sum: 0.924, Balance: 1.109 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.312 - Total: Max: 1.349, Sum: 5.365, Balance: 1.006 -Final 2-way Cut: 2280 Balance: 1.030 -NMoved: 2 2 2 4 -ParMETIS_V3_AdaptiveRepart reported a cut of 2280 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 0.001, Ncon: 1, Nparts: 2 -[ 99617 1324862 23436 26023][200] -[ 51474 768976 12144 13415][200] -[ 26794 410198 6335 6975][200] -[ 13996 217118 3315 3639][200] -[ 7354 114922 1754 1922][200] -[ 3881 60458 933 1013][200] -[ 2070 31578 509 540][200] -[ 1118 16218 268 293][200] -[ 615 8424 146 161][200] -[ 344 4400 82 92][200] -[ 196 2260 44 55][200] -nvtxs: 196, balance: 1.030 -nvtxs: 344, cut: 2281, balance: 1.030 -nvtxs: 615, cut: 2281, balance: 1.030 -nvtxs: 1118, cut: 2281, balance: 1.030 -nvtxs: 2070, cut: 2281, balance: 1.030 -nvtxs: 3881, cut: 2281, balance: 1.030 -nvtxs: 7354, cut: 2281, balance: 1.030 -nvtxs: 13996, cut: 2281, balance: 1.030 -nvtxs: 26794, cut: 2281, balance: 1.030 -nvtxs: 51474, cut: 2281, balance: 1.030 -nvtxs: 99617, cut: 2281, balance: 1.030 - Setup: Max: 0.136, Sum: 0.367, Balance: 1.482 - Matching: Max: 0.277, Sum: 1.068, Balance: 1.039 -Contraction: Max: 0.388, Sum: 1.512, Balance: 1.026 - Project: Max: 0.023, Sum: 0.028, Balance: 3.275 - Initialize: Max: 0.164, Sum: 0.500, Balance: 1.312 - K-way: Max: 0.178, Sum: 0.652, Balance: 1.092 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.391 - Total: Max: 1.332, Sum: 5.320, Balance: 1.001 -Final 2-way Cut: 2281 Balance: 1.030 -NMoved: 0 0 0 0 -ParMETIS_V3_AdaptiveRepart reported a cut of 2281 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 0.001, Ncon: 1, Nparts: 2 -[ 99617 1324862 23436 26023][200] -[ 51467 768770 12119 13407][200] -[ 26758 410182 6309 6966][200] -[ 13973 217278 3305 3631][200] -[ 7332 114684 1742 1901][200] -[ 3869 60258 930 995][200] -[ 2064 31426 502 526][200] -[ 1117 16294 274 285][200] -[ 611 8534 151 155][200] -[ 344 4442 83 87][200] -[ 197 2300 47 51][200] -nvtxs: 197, balance: 1.030 -nvtxs: 344, cut: 2281, balance: 1.030 -nvtxs: 611, cut: 2281, balance: 1.030 -nvtxs: 1117, cut: 2281, balance: 1.030 -nvtxs: 2064, cut: 2281, balance: 1.030 -nvtxs: 3869, cut: 2281, balance: 1.030 -nvtxs: 7332, cut: 2281, balance: 1.030 -nvtxs: 13973, cut: 2281, balance: 1.030 -nvtxs: 26758, cut: 2281, balance: 1.030 -nvtxs: 51467, cut: 2281, balance: 1.030 -nvtxs: 99617, cut: 2281, balance: 1.030 - Setup: Max: 0.112, Sum: 0.355, Balance: 1.263 - Matching: Max: 0.359, Sum: 1.391, Balance: 1.031 -Contraction: Max: 0.488, Sum: 1.901, Balance: 1.027 - Project: Max: 0.037, Sum: 0.074, Balance: 2.016 - Initialize: Max: 0.113, Sum: 0.446, Balance: 1.016 - K-way: Max: 0.201, Sum: 0.758, Balance: 1.062 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.434 - Total: Max: 1.555, Sum: 6.212, Balance: 1.001 -Final 2-way Cut: 2281 Balance: 1.030 -NMoved: 0 0 0 0 -ParMETIS_V3_AdaptiveRepart reported a cut of 2281 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1000.000, Ncon: 3, Nparts: 2 -[ 99617 1324862 23436 26023][600] -[ 51474 768976 12144 13415][600] -[ 26735 408876 6324 6959][600] -[ 13939 216334 3300 3611][600] -[ 7300 114028 1745 1893][600] -[ 3859 59852 936 999][600] -[ 2064 31208 510 527][600] -[ 1120 16180 274 288][600] -[ 615 8346 148 157][600] -nvtxs: 615, balance: 1.002 1.002 1.004 -nvtxs: 1120, cut: 9950, balance: 1.013 1.013 1.008 -nvtxs: 2064, cut: 9377, balance: 1.014 1.014 1.012 -nvtxs: 3859, cut: 8764, balance: 1.018 1.018 1.010 -nvtxs: 7300, cut: 8176, balance: 1.019 1.019 1.010 -nvtxs: 13939, cut: 7710, balance: 1.021 1.021 1.012 -nvtxs: 26735, cut: 7238, balance: 1.022 1.022 1.016 -nvtxs: 51474, cut: 6729, balance: 1.022 1.022 1.016 -nvtxs: 99617, cut: 6113, balance: 1.013 1.013 1.014 - Setup: Max: 0.096, Sum: 0.268, Balance: 1.435 - Matching: Max: 0.320, Sum: 1.241, Balance: 1.033 -Contraction: Max: 0.346, Sum: 1.380, Balance: 1.002 - InitPart: Max: 0.085, Sum: 0.299, Balance: 1.130 - Project: Max: 0.048, Sum: 0.138, Balance: 1.389 - Initialize: Max: 0.138, Sum: 0.517, Balance: 1.072 - K-way: Max: 0.666, Sum: 2.562, Balance: 1.040 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.516 - Total: Max: 1.883, Sum: 7.527, Balance: 1.001 -Final 2-way Cut: 6113 Balance: 1.013 1.013 1.014 -NMoved: 49732 24996 24996 49992 -ParMETIS_V3_AdaptiveRepart reported a cut of 6113 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1000.000, Ncon: 3, Nparts: 2 -[ 99617 1324862 23436 26023][600] -[ 51467 768770 12119 13407][600] -[ 26704 408982 6292 6955][600] -[ 13898 215874 3282 3616][600] -[ 7275 113570 1724 1890][600] -[ 3830 59564 910 983][600] -[ 2024 30990 484 522][600] -[ 1083 16046 263 279][600] -[ 586 8180 143 154][600] -nvtxs: 586, balance: 1.006 1.006 1.004 -nvtxs: 1083, cut: 9178, balance: 1.015 1.015 1.003 -nvtxs: 2024, cut: 8626, balance: 1.026 1.026 1.012 -nvtxs: 3830, cut: 8358, balance: 1.030 1.030 1.015 -nvtxs: 7275, cut: 7886, balance: 1.033 1.033 1.018 -nvtxs: 13898, cut: 7312, balance: 1.039 1.039 1.023 -nvtxs: 26704, cut: 6956, balance: 1.039 1.039 1.022 -nvtxs: 51467, cut: 6583, balance: 1.043 1.043 1.023 -nvtxs: 99617, cut: 5980, balance: 1.050 1.050 1.026 - Setup: Max: 0.098, Sum: 0.277, Balance: 1.419 - Matching: Max: 0.304, Sum: 1.170, Balance: 1.039 -Contraction: Max: 0.364, Sum: 1.440, Balance: 1.012 - InitPart: Max: 0.075, Sum: 0.295, Balance: 1.013 - Project: Max: 0.028, Sum: 0.062, Balance: 1.797 - Initialize: Max: 0.141, Sum: 0.464, Balance: 1.218 - K-way: Max: 0.671, Sum: 2.585, Balance: 1.039 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.232 - Total: Max: 1.830, Sum: 7.293, Balance: 1.004 -Final 2-way Cut: 5980 Balance: 1.050 1.050 1.026 -NMoved: 48535 25319 25319 50638 -ParMETIS_V3_AdaptiveRepart reported a cut of 5980 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 1.000, Ncon: 3, Nparts: 2 -[ 99617 1324862 23436 26023][600] -[ 51474 768976 12144 13415][600] -[ 26735 408876 6324 6959][600] -[ 13939 216334 3300 3611][600] -[ 7300 114028 1745 1893][600] -[ 3859 59852 936 999][600] -[ 2064 31208 510 527][600] -[ 1120 16180 274 288][600] -[ 615 8346 148 157][600] -nvtxs: 615, balance: 1.002 1.002 1.004 -nvtxs: 1120, cut: 10122, balance: 1.003 1.003 1.002 -nvtxs: 2064, cut: 9523, balance: 1.012 1.012 1.008 -nvtxs: 3859, cut: 8934, balance: 1.007 1.007 1.010 -nvtxs: 7300, cut: 8137, balance: 1.005 1.005 1.015 -nvtxs: 13939, cut: 7757, balance: 1.006 1.006 1.015 -nvtxs: 26735, cut: 7257, balance: 1.008 1.008 1.015 -nvtxs: 51474, cut: 6833, balance: 1.009 1.009 1.015 -nvtxs: 99617, cut: 6214, balance: 1.025 1.025 1.010 - Setup: Max: 0.092, Sum: 0.280, Balance: 1.319 - Matching: Max: 0.315, Sum: 1.201, Balance: 1.048 -Contraction: Max: 0.358, Sum: 1.396, Balance: 1.026 - InitPart: Max: 0.068, Sum: 0.269, Balance: 1.011 - Project: Max: 0.052, Sum: 0.156, Balance: 1.337 - Initialize: Max: 0.076, Sum: 0.244, Balance: 1.238 - K-way: Max: 0.694, Sum: 2.643, Balance: 1.051 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.429 - Total: Max: 1.855, Sum: 7.412, Balance: 1.001 -Final 2-way Cut: 6214 Balance: 1.025 1.025 1.010 -NMoved: 47999 24270 24270 48540 -ParMETIS_V3_AdaptiveRepart reported a cut of 6214 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 1.000, Ncon: 3, Nparts: 2 -[ 99617 1324862 23436 26023][600] -[ 51467 768770 12119 13407][600] -[ 26704 408982 6292 6955][600] -[ 13898 215874 3282 3616][600] -[ 7275 113570 1724 1890][600] -[ 3830 59564 910 983][600] -[ 2024 30990 484 522][600] -[ 1083 16046 263 279][600] -[ 586 8180 143 154][600] -nvtxs: 586, balance: 1.006 1.006 1.004 -nvtxs: 1083, cut: 9230, balance: 1.013 1.013 1.002 -nvtxs: 2024, cut: 8706, balance: 1.034 1.034 1.010 -nvtxs: 3830, cut: 8425, balance: 1.034 1.034 1.011 -nvtxs: 7275, cut: 7826, balance: 1.048 1.048 1.019 -nvtxs: 13898, cut: 7364, balance: 1.050 1.050 1.019 -nvtxs: 26704, cut: 7000, balance: 1.050 1.050 1.019 -nvtxs: 51467, cut: 6669, balance: 1.050 1.050 1.019 -nvtxs: 99617, cut: 6215, balance: 1.050 1.050 1.016 - Setup: Max: 0.132, Sum: 0.431, Balance: 1.225 - Matching: Max: 0.412, Sum: 1.572, Balance: 1.049 -Contraction: Max: 0.471, Sum: 1.861, Balance: 1.012 - InitPart: Max: 0.074, Sum: 0.291, Balance: 1.015 - Project: Max: 0.022, Sum: -0.000, Balance: -200.449 - Initialize: Max: 0.150, Sum: 0.499, Balance: 1.200 - K-way: Max: 0.656, Sum: 2.512, Balance: 1.045 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.305 - Total: Max: 2.187, Sum: 8.744, Balance: 1.001 -Final 2-way Cut: 6215 Balance: 1.050 1.050 1.016 -NMoved: 48036 24919 24919 49838 -ParMETIS_V3_AdaptiveRepart reported a cut of 6215 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 1 1}, ipc2redist: 0.001, Ncon: 3, Nparts: 2 -[ 99617 1324862 23436 26023][600] -[ 51474 768976 12144 13415][600] -[ 26735 408876 6324 6959][600] -[ 13939 216334 3300 3611][600] -[ 7300 114028 1745 1893][600] -[ 3859 59852 936 999][600] -[ 2064 31208 510 527][600] -[ 1120 16180 274 288][600] -[ 615 8346 148 157][600] -nvtxs: 615, balance: 1.002 1.002 1.004 -nvtxs: 1120, cut: 24586, balance: 1.046 1.046 1.048 -nvtxs: 2064, cut: 24844, balance: 1.049 1.049 1.048 -nvtxs: 3859, cut: 25224, balance: 1.049 1.049 1.050 -nvtxs: 7300, cut: 25329, balance: 1.050 1.050 1.050 -nvtxs: 13939, cut: 25408, balance: 1.050 1.050 1.050 -nvtxs: 26735, cut: 25425, balance: 1.050 1.050 1.050 -nvtxs: 51474, cut: 25425, balance: 1.050 1.050 1.050 -nvtxs: 99617, cut: 25425, balance: 1.050 1.050 1.050 - Setup: Max: 0.073, Sum: 0.170, Balance: 1.719 - Matching: Max: 0.299, Sum: 1.169, Balance: 1.025 -Contraction: Max: 0.373, Sum: 1.487, Balance: 1.002 - InitPart: Max: 0.079, Sum: 0.311, Balance: 1.012 - Project: Max: 0.040, Sum: 0.110, Balance: 1.444 - Initialize: Max: 0.131, Sum: 0.443, Balance: 1.177 - K-way: Max: 0.455, Sum: 1.631, Balance: 1.116 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.358 - Total: Max: 1.629, Sum: 6.511, Balance: 1.001 -Final 2-way Cut: 25425 Balance: 1.050 1.050 1.050 -NMoved: 44489 22400 22400 44800 -ParMETIS_V3_AdaptiveRepart reported a cut of 25425 - -Testing ParMETIS_V3_AdaptiveRepart with options[1-3] = {7 2 1}, ipc2redist: 0.001, Ncon: 3, Nparts: 2 -[ 99617 1324862 23436 26023][600] -[ 51467 768770 12119 13407][600] -[ 26704 408982 6292 6955][600] -[ 13898 215874 3282 3616][600] -[ 7275 113570 1724 1890][600] -[ 3830 59564 910 983][600] -[ 2024 30990 484 522][600] -[ 1083 16046 263 279][600] -[ 586 8180 143 154][600] -nvtxs: 586, balance: 1.006 1.006 1.004 -nvtxs: 1083, cut: 24560, balance: 1.050 1.050 1.049 -nvtxs: 2024, cut: 24558, balance: 1.050 1.050 1.049 -nvtxs: 3830, cut: 24663, balance: 1.050 1.050 1.050 -nvtxs: 7275, cut: 24699, balance: 1.050 1.050 1.050 -nvtxs: 13898, cut: 24719, balance: 1.050 1.050 1.050 -nvtxs: 26704, cut: 24773, balance: 1.050 1.050 1.050 -nvtxs: 51467, cut: 24773, balance: 1.050 1.050 1.050 -nvtxs: 99617, cut: 24773, balance: 1.050 1.050 1.050 - Setup: Max: 0.120, Sum: 0.304, Balance: 1.585 - Matching: Max: 0.304, Sum: 1.145, Balance: 1.062 -Contraction: Max: 0.368, Sum: 1.393, Balance: 1.058 - InitPart: Max: 0.062, Sum: 0.244, Balance: 1.017 - Project: Max: 0.045, Sum: 0.093, Balance: 1.937 - Initialize: Max: 0.170, Sum: 0.606, Balance: 1.122 - K-way: Max: 0.420, Sum: 1.629, Balance: 1.030 - Remap: Max: 0.000, Sum: 0.000, Balance: 1.448 - Total: Max: 1.703, Sum: 6.803, Balance: 1.001 -Final 2-way Cut: 24773 Balance: 1.050 1.050 1.050 -NMoved: 44478 22395 22395 44790 -ParMETIS_V3_AdaptiveRepart reported a cut of 24773 - -Testing ParMETIS_V3_NodeND with options[1-3] = {3 1 1} - Setup: Max: 0.242, Sum: 0.818, Balance: 1.182 - Matching: Max: 0.485, Sum: 1.839, Balance: 1.055 -Contraction: Max: 0.499, Sum: 1.954, Balance: 1.022 - InitPart: Max: 0.018, Sum: 0.069, Balance: 1.018 - Project: Max: 0.039, Sum: 0.066, Balance: 2.352 - Initialize: Max: 0.244, Sum: 0.676, Balance: 1.443 - K-way: Max: 0.831, Sum: 3.129, Balance: 1.062 - Total: Max: 2.236, Sum: 8.943, Balance: 1.000 -SepSizes: 511 [47236 51870] -SepSizes: 901 [23636 22699] 570 [26836 24464] - Setup: Max: 0.450, Sum: 1.348, Balance: 1.334 - Matching: Max: 0.666, Sum: 2.290, Balance: 1.164 -Contraction: Max: 1.009, Sum: 3.461, Balance: 1.167 - InitPart: Max: 0.102, Sum: 0.395, Balance: 1.034 - Project: Max: 0.057, Sum: 0.108, Balance: 2.107 - Initialize: Max: 0.252, Sum: 0.799, Balance: 1.261 - K-way: Max: 1.304, Sum: 5.084, Balance: 1.026 - Move: Max: 4.609, Sum: 12.909, Balance: 1.428 - Total: Max: 6.972, Sum: 27.820, Balance: 1.002 - -Testing ParMETIS_V3_NodeND with options[1-3] = {3 1 2} - Setup: Max: 0.268, Sum: 0.820, Balance: 1.308 - Matching: Max: 0.440, Sum: 1.704, Balance: 1.032 -Contraction: Max: 0.560, Sum: 2.205, Balance: 1.016 - InitPart: Max: 0.012, Sum: 0.047, Balance: 1.024 - Project: Max: 0.066, Sum: 0.185, Balance: 1.435 - Initialize: Max: 0.187, Sum: 0.670, Balance: 1.114 - K-way: Max: 0.765, Sum: 3.004, Balance: 1.019 - Total: Max: 2.302, Sum: 9.206, Balance: 1.000 -SepSizes: 511 [47236 51870] -SepSizes: 901 [23636 22699] 570 [26836 24464] - Setup: Max: 0.394, Sum: 1.187, Balance: 1.328 - Matching: Max: 0.634, Sum: 2.294, Balance: 1.106 -Contraction: Max: 1.103, Sum: 3.570, Balance: 1.236 - InitPart: Max: 0.092, Sum: 0.313, Balance: 1.181 - Project: Max: 0.066, Sum: 0.191, Balance: 1.374 - Initialize: Max: 0.256, Sum: 0.867, Balance: 1.182 - K-way: Max: 1.234, Sum: 4.827, Balance: 1.023 - Move: Max: 2.786, Sum: 6.572, Balance: 1.696 - Total: Max: 6.896, Sum: 27.577, Balance: 1.000 - -------------------------------------------------------------------------- -------------------------------------------------------------------------- -------------------------------------------------------------------------- -------------------------------------------------------------------------- -% mpirun -np 4 mtest bricks.hex3d 2 - -Nelements: 117649, Nnodes: 125000, EType: 3 -MGCNUM: 2 -Completed Dual Graph -- Nvtxs: 117649, Nedges: 2046222 -[117649 2046222 29412 29413] [100] [ 0.000] [ 0.000] -[ 60230 1195682 15032 15075] [100] [ 0.000] [ 0.000] -[ 30905 630126 7712 7738] [100] [ 0.000] [ 0.000] -[ 15878 308518 3958 3976] [100] [ 0.000] [ 0.000] -[ 8188 150574 2039 2055] [100] [ 0.000] [ 0.000] -[ 4240 74750 1057 1063] [100] [ 0.000] [ 0.000] -[ 2208 37340 547 555] [100] [ 0.000] [ 0.001] -[ 1155 18804 285 291] [100] [ 0.000] [ 0.001] -[ 606 9272 149 154] [100] [ 0.000] [ 0.002] -[ 321 4636 79 82] [100] [ 0.000] [ 0.004] -[ 175 2312 43 46] [100] [ 0.000] [ 0.008] -[ 96 1166 23 25] [100] [ 0.000] [ 0.016] -nvtxs: 96, balance: 1.029 -nvtxs: 175, cut: 52846, balance: 1.034 -nvtxs: 321, cut: 49105, balance: 1.044 -nvtxs: 606, cut: 46830, balance: 1.049 -nvtxs: 1155, cut: 44937, balance: 1.007 -nvtxs: 2208, cut: 42026, balance: 1.010 -nvtxs: 4240, cut: 39423, balance: 1.004 -nvtxs: 8188, cut: 36607, balance: 1.003 -nvtxs: 15878, cut: 34521, balance: 1.004 -nvtxs: 30905, cut: 32557, balance: 1.003 -nvtxs: 60230, cut: 30095, balance: 1.003 -nvtxs: 117649, cut: 27431, balance: 1.003 - Setup: Max: 0.085, Sum: 0.288, Balance: 1.179 - Matching: Max: 0.328, Sum: 1.220, Balance: 1.073 -Contraction: Max: 0.424, Sum: 1.680, Balance: 1.010 - InitPart: Max: 0.035, Sum: 0.130, Balance: 1.060 - Project: Max: 0.065, Sum: 0.150, Balance: 1.731 - Initialize: Max: 0.188, Sum: 0.646, Balance: 1.164 - K-way: Max: 0.668, Sum: 2.591, Balance: 1.031 - Remap: Max: 0.015, Sum: 0.057, Balance: 1.066 - Total: Max: 2.030, Sum: 8.085, Balance: 1.004 -Final 4-way CUT: 27431 Balance: 1.003 avg: 1.003 - Mesh2Dual: Max: 0.899, Sum: 3.592, Balance: 1.001 - ParMETIS: Max: 2.192, Sum: 8.754, Balance: 1.002 - Total: Max: 3.091, Sum: 12.347, Balance: 1.001 - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/Makefile b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/Makefile deleted file mode 100644 index eafd97a..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/Makefile +++ /dev/null @@ -1,45 +0,0 @@ -include ../Makefile.in - - -CFLAGS = $(COPTIONS) $(OPTFLAGS) -I. $(INCDIR) - - -OBJS = coarsen.o fm.o initpart.o match.o ccgraph.o \ - pmetis.o pqueue.o refine.o util.o timing.o debug.o \ - bucketsort.o graph.o stat.o kmetis.o kwayrefine.o \ - kwayfm.o balance.o ometis.o srefine.o sfm.o separator.o \ - mincover.o mmd.o mesh.o meshpart.o frename.o fortran.o \ - myqsort.o compress.o parmetis.o estmem.o \ - mpmetis.o mcoarsen.o mmatch.o minitpart.o mbalance.o \ - mutil.o mkmetis.o mkwayrefine.o mkwayfmh.o \ - mrefine2.o minitpart2.o mbalance2.o mfm2.o \ - kvmetis.o kwayvolrefine.o kwayvolfm.o subdomains.o \ - mfm.o memory.o mrefine.o checkgraph.o - -.c.o: - $(CC) $(CFLAGS) -c $*.c - -../libmetis.a: $(OBJS) - $(AR) $@ $(OBJS) - $(RANLIB) $@ - -clean: - rm -f *.o - -realclean: - rm -f *.o ; rm -f ../libmetis.a - - -checkin: - @for file in *.[c,h]; \ - do \ - ci -u -m'Maintance' $$file;\ - done - -checkin2: - @for file in *.[c,h]; \ - do \ - ci $$file;\ - rcs -U $$file;\ - co $$file;\ - done diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_checkgraph.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_checkgraph.c deleted file mode 100644 index aea0094..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_checkgraph.c +++ /dev/null @@ -1,127 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * checkgraph.c - * - * This file contains routines related to I/O - * - * Started 8/28/94 - * George - * - * $Id: NEW_checkgraph.c,v 1.1 2003/07/16 15:55:13 karypis Exp $ - * - */ - -#include <metis.h> - - - -/************************************************************************* -* This function checks if a graph is valid -**************************************************************************/ -int CheckGraph(GraphType *graph) -{ - int i, j, k, l; - int nvtxs, ncon, err=0; - int minedge, maxedge, minewgt, maxewgt; - float minvwgt[MAXNCON], maxvwgt[MAXNCON]; - idxtype *xadj, *adjncy, *adjwgt, *htable; - float *nvwgt, ntvwgts[MAXNCON]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - htable = idxsmalloc(nvtxs, 0, "htable"); - - if (ncon > 1) { - for (j=0; j<ncon; j++) { - minvwgt[j] = maxvwgt[j] = nvwgt[j]; - ntvwgts[j] = 0.0; - } - } - - minedge = maxedge = adjncy[0]; - minewgt = maxewgt = adjwgt[0]; - - for (i=0; i<nvtxs; i++) { - if (ncon > 1) { - for (j=0; j<ncon; j++) { - ntvwgts[j] += nvwgt[i*ncon+j]; - minvwgt[j] = (nvwgt[i*ncon+j] < minvwgt[j]) ? nvwgt[i*ncon+j] : minvwgt[j]; - maxvwgt[j] = (nvwgt[i*ncon+j] > maxvwgt[j]) ? nvwgt[i*ncon+j] : maxvwgt[j]; - } - } - - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - - minedge = (k < minedge) ? k : minedge; - maxedge = (k > maxedge) ? k : maxedge; - minewgt = (adjwgt[j] < minewgt) ? adjwgt[j] : minewgt; - maxewgt = (adjwgt[j] > maxewgt) ? adjwgt[j] : maxewgt; - - if (i == k) { - printf("Vertex %d contains a self-loop (i.e., diagonal entry in the matrix)!\n", i); - err++; - } - else { - for (l=xadj[k]; l<xadj[k+1]; l++) { - if (adjncy[l] == i) { - if (adjwgt != NULL && adjwgt[l] != adjwgt[j]) { - printf("Edges (%d %d) and (%d %d) do not have the same weight! %d %d\n", i,k,k,i, adjwgt[l], adjwgt[j]); - err++; - } - break; - } - } - if (l == xadj[k+1]) { - printf("Missing edge: (%d %d)!\n", k, i); - err++; - } - } - - if (htable[k] == 0) { - htable[k]++; - } - else { - printf("Edge %d from vertex %d is repeated %d times\n", k, i, htable[k]++); - err++; - } - } - - for (j=xadj[i]; j<xadj[i+1]; j++) { - htable[adjncy[j]] = 0; - } - } - - if (ncon > 1) { - for (j=0; j<ncon; j++) { - if (fabs(ntvwgts[j] - 1.0) > 0.0001) { - printf("Normalized vwgts don't sum to one. Weight %d = %.8f.\n", j, ntvwgts[j]); - err++; - } - } - } - -/* - printf("errs: %d, adjncy: [%d %d], adjwgt: [%d %d]\n", - err, minedge, maxedge, minewgt, maxewgt); - if (ncon > 1) { - for (j=0; j<ncon; j++) - printf("[%.5f %.5f] ", minvwgt[j], maxvwgt[j]); - printf("\n"); - } -*/ - - if (err > 0) { - printf("A total of %d errors exist in the input file. Correct them, and run again!\n", err); - } - - GKfree(&htable, LTERM); - return (err == 0 ? 1 : 0); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_memory.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_memory.c deleted file mode 100644 index aa03b9d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_memory.c +++ /dev/null @@ -1,208 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * memory.c - * - * This file contains routines that deal with memory allocation - * - * Started 2/24/96 - * George - * - * $Id: NEW_memory.c,v 1.1 2003/07/16 15:55:13 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function allocates memory for the workspace -**************************************************************************/ -void AllocateWorkSpace(CtrlType *ctrl, GraphType *graph, int nparts) -{ - ctrl->wspace.pmat = NULL; - - if (ctrl->optype == OP_KMETIS) { - ctrl->wspace.edegrees = (EDegreeType *)GKmalloc(graph->nedges*sizeof(EDegreeType), "AllocateWorkSpace: edegrees"); - ctrl->wspace.vedegrees = NULL; - ctrl->wspace.auxcore = (idxtype *)ctrl->wspace.edegrees; - - ctrl->wspace.pmat = idxmalloc(nparts*nparts, "AllocateWorkSpace: pmat"); - - /* Memory requirements for different phases - Coarsening - Matching: 4*nvtxs vectors - Contraction: 2*nvtxs vectors (from the above 4), 1*nparts, 1*Nedges - Total = MAX(4*nvtxs, 2*nvtxs+nparts+nedges) - - Refinement - Random Refinement/Balance: 5*nparts + 1*nvtxs + 2*nedges - Greedy Refinement/Balance: 5*nparts + 2*nvtxs + 2*nedges + 1*PQueue(==Nvtxs) - Total = 5*nparts + 3*nvtxs + 2*nedges - - Total = 5*nparts + 3*nvtxs + 2*nedges - */ - ctrl->wspace.maxcore = 3*(graph->nvtxs+1) + /* Match/Refinement vectors */ - 5*(nparts+1) + /* Partition weights etc */ - graph->nvtxs*(sizeof(ListNodeType)/sizeof(idxtype)) + /* Greedy k-way balance/refine */ - 20 /* padding for 64 bit machines */ - ; - } - else if (ctrl->optype == OP_KVMETIS) { - ctrl->wspace.edegrees = NULL; - ctrl->wspace.vedegrees = (VEDegreeType *)GKmalloc(graph->nedges*sizeof(VEDegreeType), "AllocateWorkSpace: vedegrees"); - ctrl->wspace.auxcore = (idxtype *)ctrl->wspace.vedegrees; - - ctrl->wspace.pmat = idxmalloc(nparts*nparts, "AllocateWorkSpace: pmat"); - - /* Memory requirements for different phases are identical to KMETIS */ - ctrl->wspace.maxcore = 3*(graph->nvtxs+1) + /* Match/Refinement vectors */ - 3*(nparts+1) + /* Partition weights etc */ - graph->nvtxs*(sizeof(ListNodeType)/sizeof(idxtype)) + /* Greedy k-way balance/refine */ - 20 /* padding for 64 bit machines */ - ; - } - else { - ctrl->wspace.edegrees = (EDegreeType *)idxmalloc(graph->nedges, "AllocateWorkSpace: edegrees"); - ctrl->wspace.vedegrees = NULL; - ctrl->wspace.auxcore = (idxtype *)ctrl->wspace.edegrees; - - ctrl->wspace.maxcore = 5*(graph->nvtxs+1) + /* Refinement vectors */ - 4*(nparts+1) + /* Partition weights etc */ - 2*graph->ncon*graph->nvtxs*(sizeof(ListNodeType)/sizeof(idxtype)) + /* 2-way refinement */ - 2*graph->ncon*(NEG_GAINSPAN+PLUS_GAINSPAN+1)*(sizeof(ListNodeType *)/sizeof(idxtype)) + /* 2-way refinement */ - 20 /* padding for 64 bit machines */ - ; - } - - ctrl->wspace.maxcore += HTLENGTH; - ctrl->wspace.core = idxmalloc(ctrl->wspace.maxcore, "AllocateWorkSpace: maxcore"); - ctrl->wspace.ccore = 0; -} - - -/************************************************************************* -* This function allocates memory for the workspace -**************************************************************************/ -void FreeWorkSpace(CtrlType *ctrl, GraphType *graph) -{ - GKfree(&ctrl->wspace.edegrees, &ctrl->wspace.vedegrees, &ctrl->wspace.core, &ctrl->wspace.pmat, LTERM); -} - -/************************************************************************* -* This function returns how may words are left in the workspace -**************************************************************************/ -int WspaceAvail(CtrlType *ctrl) -{ - return ctrl->wspace.maxcore - ctrl->wspace.ccore; -} - - -/************************************************************************* -* This function allocate space from the core -**************************************************************************/ -idxtype *idxwspacemalloc(CtrlType *ctrl, int n) -{ - n += n%2; /* This is a fix for 64 bit machines that require 8-byte pointer allignment */ - - ctrl->wspace.ccore += n; - ASSERT(ctrl->wspace.ccore <= ctrl->wspace.maxcore); - return ctrl->wspace.core + ctrl->wspace.ccore - n; -} - -/************************************************************************* -* This function frees space from the core -**************************************************************************/ -void idxwspacefree(CtrlType *ctrl, int n) -{ - n += n%2; /* This is a fix for 64 bit machines that require 8-byte pointer allignment */ - - ctrl->wspace.ccore -= n; - ASSERT(ctrl->wspace.ccore >= 0); -} - - -/************************************************************************* -* This function allocate space from the core -**************************************************************************/ -float *fwspacemalloc(CtrlType *ctrl, int n) -{ - n += n%2; /* This is a fix for 64 bit machines that require 8-byte pointer allignment */ - - ctrl->wspace.ccore += n; - ASSERT(ctrl->wspace.ccore <= ctrl->wspace.maxcore); - return (float *) (ctrl->wspace.core + ctrl->wspace.ccore - n); -} - -/************************************************************************* -* This function frees space from the core -**************************************************************************/ -void fwspacefree(CtrlType *ctrl, int n) -{ - n += n%2; /* This is a fix for 64 bit machines that require 8-byte pointer allignment */ - - ctrl->wspace.ccore -= n; - ASSERT(ctrl->wspace.ccore >= 0); -} - - - -/************************************************************************* -* This function creates a CoarseGraphType data structure and initializes -* the various fields -**************************************************************************/ -GraphType *CreateGraph(void) -{ - GraphType *graph; - - graph = (GraphType *)GKmalloc(sizeof(GraphType), "CreateCoarseGraph: graph"); - - InitGraph(graph); - - return graph; -} - - -/************************************************************************* -* This function creates a CoarseGraphType data structure and initializes -* the various fields -**************************************************************************/ -void InitGraph(GraphType *graph) -{ - graph->gdata = graph->rdata = NULL; - - graph->nvtxs = graph->nedges = -1; - graph->mincut = graph->minvol = -1; - - graph->xadj = graph->vwgt = graph->adjncy = graph->adjwgt = NULL; - graph->adjwgtsum = NULL; - graph->label = NULL; - graph->cmap = NULL; - - graph->where = graph->pwgts = NULL; - graph->id = graph->ed = NULL; - graph->bndptr = graph->bndind = NULL; - graph->rinfo = NULL; - graph->vrinfo = NULL; - graph->nrinfo = NULL; - - graph->ncon = -1; - graph->nvwgt = NULL; - graph->npwgts = NULL; - - graph->vsize = NULL; - - graph->coarser = graph->finer = NULL; - -} - -/************************************************************************* -* This function deallocates any memory stored in a graph -**************************************************************************/ -void FreeGraph(GraphType *graph) -{ - - GKfree(&graph->gdata, &graph->nvwgt, &graph->rdata, &graph->npwgts, LTERM); - free(graph); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_mfm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_mfm.c deleted file mode 100644 index 9f37848..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_mfm.c +++ /dev/null @@ -1,341 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mfm.c - * - * This file contains code that implements the edge-based FM refinement - * - * Started 7/23/97 - * George - * - * $Id: NEW_mfm.c,v 1.1 2003/07/16 15:55:13 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void MocFM_2WayEdgeRefine(CtrlType *ctrl, GraphType *graph, float *tpwgts, int npasses) -{ - int i, ii, j, k, l, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, me, limit, tmp, cnum; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *moved, *swaps, *perm, *qnum; - float *nvwgt, *npwgts, mindiff[MAXNCON], origbal, minbal, newbal; - PQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut, initcut, newcut, mincutorder; - float rtpwgts[2]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - npwgts = graph->npwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - qnum = idxwspacemalloc(ctrl, nvtxs); - - limit = amin(amax(0.01*nvtxs, 25), 150); - - /* Initialize the queues */ - for (i=0; i<ncon; i++) { - PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1); - PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1); - } - for (i=0; i<nvtxs; i++) - qnum[i] = samax(ncon, nvwgt+i*ncon); - - origbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - rtpwgts[0] = origbal*tpwgts[0]; - rtpwgts[1] = origbal*tpwgts[1]; - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Parts: ["); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f\n", tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut, origbal); - } - - idxset(nvtxs, -1, moved); - for (pass=0; pass<npasses; pass++) { /* Do a number of passes */ - for (i=0; i<ncon; i++) { - PQueueReset(&parts[i][0]); - PQueueReset(&parts[i][1]); - } - - mincutorder = -1; - newcut = mincut = initcut = graph->mincut; - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[0]-npwgts[i]); - minbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - /* Insert boundary nodes in the priority queues */ - nbnd = graph->nbnd; - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - ASSERT(ed[i] > 0 || id[i] == 0); - ASSERT(bndptr[i] != -1); - PQueueInsert(&parts[qnum[i]][where[i]], i, ed[i]-id[i]); - } - - for (nswaps=0; nswaps<nvtxs; nswaps++) { - SelectQueue(ncon, npwgts, rtpwgts, &from, &cnum, parts); - to = (from+1)%2; - - if (from == -1 || (higain = PQueueGetMax(&parts[cnum][from])) == -1) - break; - ASSERT(bndptr[higain] != -1); - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - - newcut -= (ed[higain]-id[higain]); - newbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - if ((newcut < mincut && newbal-origbal <= .00001) || - (newcut == mincut && (newbal < minbal || - (newbal == minbal && BetterBalance(ncon, npwgts, tpwgts, mindiff))))) { - mincut = newcut; - minbal = newbal; - mincutorder = nswaps; - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[0]-npwgts[i]); - } - else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */ - newcut += (ed[higain]-id[higain]); - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - break; - } - - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - if (ctrl->dbglvl&DBG_MOVEINFO) { - printf("Moved %6d from %d(%d). Gain: %5d, Cut: %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], newcut); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf(", %.3f LB: %.3f\n", minbal, newbal); - } - - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update its boundary information and queue position */ - if (bndptr[k] != -1) { /* If k was a boundary vertex */ - if (ed[k] == 0) { /* Not a boundary vertex any more */ - BNDDelete(nbnd, bndind, bndptr, k); - if (moved[k] == -1) /* Remove it if in the queues */ - PQueueDelete(&parts[qnum[k]][where[k]], k, oldgain); - } - else { /* If it has not been moved, update its position in the queue */ - if (moved[k] == -1) - PQueueUpdate(&parts[qnum[k]][where[k]], k, oldgain, ed[k]-id[k]); - } - } - else { - if (ed[k] > 0) { /* It will now become a boundary vertex */ - BNDInsert(nbnd, bndind, bndptr, k); - if (moved[k] == -1) - PQueueInsert(&parts[qnum[k]][where[k]], k, ed[k]-id[k]); - } - } - } - - } - - - /**************************************************************** - * Roll back computations - *****************************************************************/ - for (i=0; i<nswaps; i++) - moved[swaps[i]] = -1; /* reset moved array */ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - to = where[higain] = (where[higain]+1)%2; - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - else if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1); - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - if (bndptr[k] != -1 && ed[k] == 0) - BNDDelete(nbnd, bndind, bndptr, k); - if (bndptr[k] == -1 && ed[k] > 0) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\tMincut: %6d at %5d, NBND: %6d, NPwgts: [", mincut, mincutorder, nbnd); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("], LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts)); - } - - graph->mincut = mincut; - graph->nbnd = nbnd; - - if (mincutorder == -1 || mincut == initcut) - break; - } - - for (i=0; i<ncon; i++) { - PQueueFree(ctrl, &parts[i][0]); - PQueueFree(ctrl, &parts[i][1]); - } - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - -} - - -/************************************************************************* -* This function selects the partition number and the queue from which -* we will move vertices out -**************************************************************************/ -void SelectQueue(int ncon, float *npwgts, float *tpwgts, int *from, int *cnum, PQueueType queues[MAXNCON][2]) -{ - int i, part, maxgain=0; - float max, maxdiff=0.0; - - *from = -1; - *cnum = -1; - - /* First determine the side and the queue, irrespective of the presence of nodes */ - for (part=0; part<2; part++) { - for (i=0; i<ncon; i++) { - if (npwgts[part*ncon+i]-tpwgts[part] >= maxdiff) { - maxdiff = npwgts[part*ncon+i]-tpwgts[part]; - *from = part; - *cnum = i; - } - } - } - - /* printf("Selected %d(%d) -> %d\n", *from, *cnum, PQueueGetSize(&queues[*cnum][*from])); */ - - if (*from != -1 && PQueueGetSize(&queues[*cnum][*from]) == 0) { - /* The desired queue is empty, select a node from that side anyway */ - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][*from]) > 0) { - max = npwgts[(*from)*ncon + i]; - *cnum = i; - break; - } - } - - for (i++; i<ncon; i++) { - if (npwgts[(*from)*ncon + i] > max && PQueueGetSize(&queues[i][*from]) > 0) { - max = npwgts[(*from)*ncon + i]; - *cnum = i; - } - } - } - - /* Check to see if you can focus on the cut */ - if (maxdiff <= 0.0 || *from == -1) { - maxgain = -100000; - - for (part=0; part<2; part++) { - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][part]) > 0 && PQueueGetKey(&queues[i][part]) > maxgain) { - maxgain = PQueueGetKey(&queues[i][part]); - *from = part; - *cnum = i; - } - } - } - } -} - - - - - -/************************************************************************* -* This function checks if the balance achieved is better than the diff -* For now, it uses a 2-norm measure -**************************************************************************/ -int BetterBalance(int ncon, float *npwgts, float *tpwgts, float *diff) -{ - int i; - float ndiff[MAXNCON]; - - for (i=0; i<ncon; i++) - ndiff[i] = fabs(tpwgts[0]-npwgts[i]); - - return snorm2(ncon, ndiff) < snorm2(ncon, diff); -} - - - -/************************************************************************* -* This function computes the load imbalance over all the constrains -**************************************************************************/ -float Compute2WayHLoadImbalance(int ncon, float *npwgts, float *tpwgts) -{ - int i; - float max=0.0, temp; - - for (i=0; i<ncon; i++) { - /* temp = amax(npwgts[i]/tpwgts[0], npwgts[ncon+i]/tpwgts[1]); */ - temp = fabs(tpwgts[0]-npwgts[i])/tpwgts[0]; - max = (max < temp ? temp : max); - } - return 1.0+max; -} - - -/************************************************************************* -* This function computes the load imbalance over all the constrains -* For now assume that we just want balanced partitionings -**************************************************************************/ -void Compute2WayHLoadImbalanceVec(int ncon, float *npwgts, float *tpwgts, float *lbvec) -{ - int i; - - for (i=0; i<ncon; i++) - lbvec[i] = 1.0 + fabs(tpwgts[0]-npwgts[i])/tpwgts[0]; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_mrefine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_mrefine.c deleted file mode 100644 index 9cea995..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_mrefine.c +++ /dev/null @@ -1,219 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * refine.c - * - * This file contains the driving routines for multilevel refinement - * - * Started 7/24/97 - * George - * - * $Id: NEW_mrefine.c,v 1.1 2003/07/16 15:55:14 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of refinement -**************************************************************************/ -void MocRefine2Way(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, float *tpwgts, float ubfactor) -{ - int i; - float tubvec[MAXNCON]; - - for (i=0; i<graph->ncon; i++) - tubvec[i] = 1.0; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); - - /* Compute the parameters of the coarsest graph */ - MocCompute2WayPartitionParams(ctrl, graph); - - for (;;) { - ASSERT(CheckBnd(graph)); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); - switch (ctrl->RType) { - case RTYPE_FM: - MocBalance2Way(ctrl, graph, tpwgts, 1.03); - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 8); - break; - case 2: - MocBalance2Way(ctrl, graph, tpwgts, 1.03); - MocFM_2WayEdgeRefine2(ctrl, graph, tpwgts, tubvec, 8); - break; - default: - errexit("Unknown refinement type: %d\n", ctrl->RType); - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); - - if (graph == orggraph) - break; - - graph = graph->finer; - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - MocProject2WayPartition(ctrl, graph); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); - } - - MocBalance2Way(ctrl, graph, tpwgts, 1.01); - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 8); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); -} - - -/************************************************************************* -* This function allocates memory for 2-way edge refinement -**************************************************************************/ -void MocAllocate2WayPartitionMemory(CtrlType *ctrl, GraphType *graph) -{ - int nvtxs, ncon; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - - graph->rdata = idxmalloc(5*nvtxs, "Allocate2WayPartitionMemory: rdata"); - graph->where = graph->rdata; - graph->id = graph->rdata + nvtxs; - graph->ed = graph->rdata + 2*nvtxs; - graph->bndptr = graph->rdata + 3*nvtxs; - graph->bndind = graph->rdata + 4*nvtxs; - - graph->npwgts = fmalloc(2*ncon, "npwgts"); -} - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void MocCompute2WayPartitionParams(CtrlType *ctrl, GraphType *graph) -{ - int i, j, k, l, nvtxs, ncon, nbnd, mincut; - idxtype *xadj, *adjncy, *adjwgt; - float *nvwgt, *npwgts; - idxtype *id, *ed, *where; - idxtype *bndptr, *bndind; - int me, other; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - npwgts = sset(2*ncon, 0.0, graph->npwgts); - id = idxset(nvtxs, 0, graph->id); - ed = idxset(nvtxs, 0, graph->ed); - bndptr = idxset(nvtxs, -1, graph->bndptr); - bndind = graph->bndind; - - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - nbnd = mincut = 0; - for (i=0; i<nvtxs; i++) { - ASSERT(where[i] >= 0 && where[i] <= 1); - me = where[i]; - saxpy(ncon, 1.0, nvwgt+i*ncon, 1, npwgts+me*ncon, 1); - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me == where[adjncy[j]]) - id[i] += adjwgt[j]; - else - ed[i] += adjwgt[j]; - } - - if (ed[i] > 0 || xadj[i] == xadj[i+1]) { - mincut += ed[i]; - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - } - - graph->mincut = mincut/2; - graph->nbnd = nbnd; - -} - - - -/************************************************************************* -* This function projects a partition, and at the same time computes the -* parameters for refinement. -**************************************************************************/ -void MocProject2WayPartition(CtrlType *ctrl, GraphType *graph) -{ - int i, j, k, nvtxs, nbnd, me; - idxtype *xadj, *adjncy, *adjwgt, *adjwgtsum; - idxtype *cmap, *where, *id, *ed, *bndptr, *bndind; - idxtype *cwhere, *cid, *ced, *cbndptr; - GraphType *cgraph; - - cgraph = graph->coarser; - cwhere = cgraph->where; - cid = cgraph->id; - ced = cgraph->ed; - cbndptr = cgraph->bndptr; - - nvtxs = graph->nvtxs; - cmap = graph->cmap; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - - MocAllocate2WayPartitionMemory(ctrl, graph); - - where = graph->where; - id = idxset(nvtxs, 0, graph->id); - ed = idxset(nvtxs, 0, graph->ed); - bndptr = idxset(nvtxs, -1, graph->bndptr); - bndind = graph->bndind; - - - /* Go through and project partition and compute id/ed for the nodes */ - for (i=0; i<nvtxs; i++) { - k = cmap[i]; - where[i] = cwhere[k]; - cmap[i] = cbndptr[k]; - } - - for (nbnd=0, i=0; i<nvtxs; i++) { - me = where[i]; - - id[i] = adjwgtsum[i]; - - if (xadj[i] == xadj[i+1]) { - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - else { - if (cmap[i] != -1) { /* If it is an interface node. Note that cmap[i] = cbndptr[cmap[i]] */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me != where[adjncy[j]]) - ed[i] += adjwgt[j]; - } - id[i] -= ed[i]; - - if (ed[i] > 0 || xadj[i] == xadj[i+1]) { - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - } - } - } - - graph->mincut = cgraph->mincut; - graph->nbnd = nbnd; - scopy(2*graph->ncon, cgraph->npwgts, graph->npwgts); - - FreeGraph(graph->coarser); - graph->coarser = NULL; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_parmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_parmetis.c deleted file mode 100644 index bd97917..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_parmetis.c +++ /dev/null @@ -1,155 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * parmetis.c - * - * This file contains the top level routines for the multilevel recursive - * bisection algorithm PMETIS. - * - * Started 7/24/97 - * George - * - * $Id: NEW_parmetis.c,v 1.1 2003/07/16 15:55:14 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point for PWMETIS that accepts exact weights -* for the target partitions -**************************************************************************/ -void METIS_mCPartGraphRecursive2(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - float *mytpwgts; -idxtype wgt[2048], minwgt, maxwgt, sumwgt; -float avgwgt; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_PMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag); - graph.npwgts = NULL; - mytpwgts = fmalloc(*nparts, "mytpwgts"); - scopy(*nparts, tpwgts, mytpwgts); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = McPMETIS_CTYPE; - ctrl.IType = McPMETIS_ITYPE; - ctrl.RType = McPMETIS_RTYPE; - ctrl.dbglvl = McPMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_PMETIS; - ctrl.CoarsenTo = 100; - - ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo); - - InitRandom(options[7]); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - ASSERT(CheckGraph(&graph)); - *edgecut = MCMlevelRecursiveBisection2(&ctrl, &graph, *nparts, mytpwgts, part, 1.000, 0); -/* -printf("nvtxs: %d, nparts: %d, ncon: %d\n", graph.nvtxs, *nparts, *ncon); -for (i=0; i<(*nparts)*(*ncon); i++) - wgt[i] = 0; -for (i=0; i<graph.nvtxs; i++) - for (j=0; j<*ncon; j++) - wgt[part[i]*(*ncon)+j] += vwgt[i*(*ncon)+j]; - -for (j=0; j<*ncon; j++) { - minwgt = maxwgt = sumwgt = 0; - for (i=0; i<(*nparts); i++) { - minwgt = (wgt[i*(*ncon)+j] < wgt[minwgt*(*ncon)+j]) ? i : minwgt; - maxwgt = (wgt[i*(*ncon)+j] > wgt[maxwgt*(*ncon)+j]) ? i : maxwgt; - sumwgt += wgt[i*(*ncon)+j]; - } - avgwgt = (float)sumwgt / (float)*nparts; - printf("min: %5d, max: %5d, avg: %5.2f, balance: %6.3f\n", wgt[minwgt*(*ncon)+j], wgt[maxwgt*(*ncon)+j], avgwgt, (float)wgt[maxwgt*(*ncon)+j] / avgwgt); -} -printf("\n"); -*/ - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - GKfree((void *)&mytpwgts, LTERM); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -int MCMlevelRecursiveBisection2(CtrlType *ctrl, GraphType *graph, int nparts, - float *tpwgts, idxtype *part, float ubfactor, int fpart) -{ - int i, nvtxs, cut; - float wsum, tpwgts2[2]; - idxtype *label, *where; - GraphType lgraph, rgraph; - - nvtxs = graph->nvtxs; - if (nvtxs == 0) { -/* printf("\t***Cannot bisect a graph with 0 vertices!\n\t***You are trying to partition a graph into too many parts!\n"); */ - return 0; - } - - /* Determine the weights of the partitions */ - tpwgts2[0] = ssum(nparts/2, tpwgts); - tpwgts2[1] = 1.0-tpwgts2[0]; - - MCMlevelEdgeBisection(ctrl, graph, tpwgts2, ubfactor); - cut = graph->mincut; - - label = graph->label; - where = graph->where; - for (i=0; i<nvtxs; i++) - part[label[i]] = where[i] + fpart; - - if (nparts > 2) - SplitGraphPart(ctrl, graph, &lgraph, &rgraph); - - /* Free the memory of the top level graph */ - GKfree(&graph->gdata, &graph->nvwgt, &graph->rdata, &graph->label, &graph->npwgts, LTERM); - - /* Scale the fractions in the tpwgts according to the true weight */ - wsum = ssum(nparts/2, tpwgts); - sscale(nparts/2, 1.0/wsum, tpwgts); - sscale(nparts-nparts/2, 1.0/(1.0-wsum), tpwgts+nparts/2); - - /* Do the recursive call */ - if (nparts > 3) { - cut += MCMlevelRecursiveBisection2(ctrl, &lgraph, nparts/2, tpwgts, part, ubfactor, fpart); - cut += MCMlevelRecursiveBisection2(ctrl, &rgraph, nparts-nparts/2, tpwgts+nparts/2, part, ubfactor, fpart+nparts/2); - } - else if (nparts == 3) { - cut += MCMlevelRecursiveBisection2(ctrl, &rgraph, nparts-nparts/2, tpwgts+nparts/2, part, ubfactor, fpart+nparts/2); - GKfree(&lgraph.gdata, &lgraph.nvwgt, &lgraph.label, LTERM); - } - - return cut; - -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_stats.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_stats.c deleted file mode 100644 index 9e04b23..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/NEW_stats.c +++ /dev/null @@ -1,44 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * stat.c - * - * This file computes various statistics - * - * Started 7/25/97 - * George - * - * $Id: NEW_stats.c,v 1.1 2003/07/16 15:55:15 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function computes the balance of the partitioning -**************************************************************************/ -void Moc_ComputePartitionBalance(GraphType *graph, int nparts, idxtype *where, float *ubvec) -{ - int i, j, nvtxs, ncon; - float *kpwgts, *nvwgt; - float balance; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - nvwgt = graph->nvwgt; - - kpwgts = fmalloc(nparts, "ComputePartitionInfo: kpwgts"); - - for (j=0; j<ncon; j++) { - sset(nparts, 0.0, kpwgts); - for (i=0; i<graph->nvtxs; i++) - kpwgts[where[i]] += nvwgt[i*ncon+j]; - - ubvec[j] = (float)nparts*kpwgts[samax(nparts, kpwgts)]/ssum(nparts, kpwgts); - } - - free(kpwgts); - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/balance.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/balance.c deleted file mode 100644 index ac951da..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/balance.c +++ /dev/null @@ -1,278 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * balance.c - * - * This file contains code that is used to forcefully balance either - * bisections or k-sections - * - * Started 7/29/97 - * George - * - * $Id: balance.c,v 1.1 2003/07/16 15:54:58 karypis Exp $ - * - */ - -#include <metis.h> - -/************************************************************************* -* This function is the entry point of the bisection balancing algorithms. -**************************************************************************/ -void Balance2Way(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor) -{ - int i, j, nvtxs, from, imax, gain, mindiff; - idxtype *id, *ed; - - /* Return right away if the balance is OK */ - mindiff = abs(tpwgts[0]-graph->pwgts[0]); - if (mindiff < 3*(graph->pwgts[0]+graph->pwgts[1])/graph->nvtxs) - return; - if (graph->pwgts[0] > tpwgts[0] && graph->pwgts[0] < (int)(ubfactor*tpwgts[0])) - return; - if (graph->pwgts[1] > tpwgts[1] && graph->pwgts[1] < (int)(ubfactor*tpwgts[1])) - return; - - if (graph->nbnd > 0) - Bnd2WayBalance(ctrl, graph, tpwgts); - else - General2WayBalance(ctrl, graph, tpwgts); - -} - - - -/************************************************************************* -* This function balances two partitions by moving boundary nodes -* from the domain that is overweight to the one that is underweight. -**************************************************************************/ -void Bnd2WayBalance(CtrlType *ctrl, GraphType *graph, int *tpwgts) -{ - int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, tmp; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts; - idxtype *moved, *perm; - PQueueType parts; - int higain, oldgain, mincut, mindiff; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - pwgts = graph->pwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - - /* Determine from which domain you will be moving data */ - mindiff = abs(tpwgts[0]-pwgts[0]); - from = (pwgts[0] < tpwgts[0] ? 1 : 0); - to = (from+1)%2; - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d [B]\n", - pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); - - tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]; - PQueueInit(ctrl, &parts, nvtxs, tmp); - - idxset(nvtxs, -1, moved); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - /* Insert the boundary nodes of the proper partition whose size is OK in the priority queue */ - nbnd = graph->nbnd; - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = perm[ii]; - ASSERT(ed[bndind[i]] > 0 || id[bndind[i]] == 0); - ASSERT(bndptr[bndind[i]] != -1); - if (where[bndind[i]] == from && vwgt[bndind[i]] <= mindiff) - PQueueInsert(&parts, bndind[i], ed[bndind[i]]-id[bndind[i]]); - } - - mincut = graph->mincut; - for (nswaps=0; nswaps<nvtxs; nswaps++) { - if ((higain = PQueueGetMax(&parts)) == -1) - break; - ASSERT(bndptr[higain] != -1); - - if (pwgts[to]+vwgt[higain] > tpwgts[to]) - break; - - mincut -= (ed[higain]-id[higain]); - INC_DEC(pwgts[to], pwgts[from], vwgt[higain]); - - where[higain] = to; - moved[higain] = nswaps; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, - printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], mincut, pwgts[0], pwgts[1])); - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update its boundary information and queue position */ - if (bndptr[k] != -1) { /* If k was a boundary vertex */ - if (ed[k] == 0) { /* Not a boundary vertex any more */ - BNDDelete(nbnd, bndind, bndptr, k); - if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff) /* Remove it if in the queues */ - PQueueDelete(&parts, k, oldgain); - } - else { /* If it has not been moved, update its position in the queue */ - if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff) - PQueueUpdate(&parts, k, oldgain, ed[k]-id[k]); - } - } - else { - if (ed[k] > 0) { /* It will now become a boundary vertex */ - BNDInsert(nbnd, bndind, bndptr, k); - if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff) - PQueueInsert(&parts, k, ed[k]-id[k]); - } - } - } - } - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\tMinimum cut: %6d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, pwgts[0], pwgts[1], nbnd)); - - graph->mincut = mincut; - graph->nbnd = nbnd; - - PQueueFree(ctrl, &parts); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - -/************************************************************************* -* This function balances two partitions by moving the highest gain -* (including negative gain) vertices to the other domain. -* It is used only when tha unbalance is due to non contigous -* subdomains. That is, the are no boundary vertices. -* It moves vertices from the domain that is overweight to the one that -* is underweight. -**************************************************************************/ -void General2WayBalance(CtrlType *ctrl, GraphType *graph, int *tpwgts) -{ - int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, tmp; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts; - idxtype *moved, *perm; - PQueueType parts; - int higain, oldgain, mincut, mindiff; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - pwgts = graph->pwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - - /* Determine from which domain you will be moving data */ - mindiff = abs(tpwgts[0]-pwgts[0]); - from = (pwgts[0] < tpwgts[0] ? 1 : 0); - to = (from+1)%2; - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d [B]\n", - pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); - - tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]; - PQueueInit(ctrl, &parts, nvtxs, tmp); - - idxset(nvtxs, -1, moved); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - /* Insert the nodes of the proper partition whose size is OK in the priority queue */ - RandomPermute(nvtxs, perm, 1); - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - if (where[i] == from && vwgt[i] <= mindiff) - PQueueInsert(&parts, i, ed[i]-id[i]); - } - - mincut = graph->mincut; - nbnd = graph->nbnd; - for (nswaps=0; nswaps<nvtxs; nswaps++) { - if ((higain = PQueueGetMax(&parts)) == -1) - break; - - if (pwgts[to]+vwgt[higain] > tpwgts[to]) - break; - - mincut -= (ed[higain]-id[higain]); - INC_DEC(pwgts[to], pwgts[from], vwgt[higain]); - - where[higain] = to; - moved[higain] = nswaps; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, - printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], mincut, pwgts[0], pwgts[1])); - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update the queue position */ - if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff) - PQueueUpdate(&parts, k, oldgain, ed[k]-id[k]); - - /* Update its boundary information */ - if (ed[k] == 0 && bndptr[k] != -1) - BNDDelete(nbnd, bndind, bndptr, k); - else if (ed[k] > 0 && bndptr[k] == -1) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\tMinimum cut: %6d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, pwgts[0], pwgts[1], nbnd)); - - graph->mincut = mincut; - graph->nbnd = nbnd; - - PQueueFree(ctrl, &parts); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/bucketsort.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/bucketsort.c deleted file mode 100644 index 14aa213..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/bucketsort.c +++ /dev/null @@ -1,43 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * bucketsort.c - * - * This file contains code that implement a variety of counting sorting - * algorithms - * - * Started 7/25/97 - * George - * - * $Id: bucketsort.c,v 1.1 2003/07/16 15:55:00 karypis Exp $ - * - */ - -#include <metis.h> - - - -/************************************************************************* -* This function uses simple counting sort to return a permutation array -* corresponding to the sorted order. The keys are assumed to start from -* 0 and they are positive. This sorting is used during matching. -**************************************************************************/ -void BucketSortKeysInc(int n, int max, idxtype *keys, idxtype *tperm, idxtype *perm) -{ - int i, ii; - idxtype *counts; - - counts = idxsmalloc(max+2, 0, "BucketSortKeysInc: counts"); - - for (i=0; i<n; i++) - counts[keys[i]]++; - MAKECSR(i, max+1, counts); - - for (ii=0; ii<n; ii++) { - i = tperm[ii]; - perm[counts[keys[i]]++] = i; - } - - free(counts); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/ccgraph.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/ccgraph.c deleted file mode 100644 index 3485ab0..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/ccgraph.c +++ /dev/null @@ -1,599 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * ccgraph.c - * - * This file contains the functions that create the coarse graph - * - * Started 8/11/97 - * George - * - * $Id: ccgraph.c,v 1.1 2003/07/16 15:55:00 karypis Exp $ - * - */ - -#include <metis.h> - - - -/************************************************************************* -* This function creates the coarser graph -**************************************************************************/ -void CreateCoarseGraph(CtrlType *ctrl, GraphType *graph, int cnvtxs, idxtype *match, idxtype *perm) -{ - int i, j, jj, k, kk, l, m, istart, iend, nvtxs, nedges, ncon, cnedges, v, u, mask, dovsize; - idxtype *xadj, *vwgt, *vsize, *adjncy, *adjwgt, *adjwgtsum, *auxadj; - idxtype *cmap, *htable; - idxtype *cxadj, *cvwgt, *cvsize, *cadjncy, *cadjwgt, *cadjwgtsum; - float *nvwgt, *cnvwgt; - GraphType *cgraph; - - dovsize = (ctrl->optype == OP_KVMETIS ? 1 : 0); - - mask = HTLENGTH; - if (cnvtxs < 8*mask || graph->nedges/graph->nvtxs > 15) { - CreateCoarseGraphNoMask(ctrl, graph, cnvtxs, match, perm); - return; - } - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ContractTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - vwgt = graph->vwgt; - vsize = graph->vsize; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - cmap = graph->cmap; - - /* Initialize the coarser graph */ - cgraph = SetUpCoarseGraph(graph, cnvtxs, dovsize); - cxadj = cgraph->xadj; - cvwgt = cgraph->vwgt; - cvsize = cgraph->vsize; - cnvwgt = cgraph->nvwgt; - cadjwgtsum = cgraph->adjwgtsum; - cadjncy = cgraph->adjncy; - cadjwgt = cgraph->adjwgt; - - - iend = xadj[nvtxs]; - auxadj = ctrl->wspace.auxcore; - memcpy(auxadj, adjncy, iend*sizeof(idxtype)); - for (i=0; i<iend; i++) - auxadj[i] = cmap[auxadj[i]]; - - htable = idxset(mask+1, -1, idxwspacemalloc(ctrl, mask+1)); - - cxadj[0] = cnvtxs = cnedges = 0; - for (i=0; i<nvtxs; i++) { - v = perm[i]; - if (cmap[v] != cnvtxs) - continue; - - u = match[v]; - if (ncon == 1) - cvwgt[cnvtxs] = vwgt[v]; - else - scopy(ncon, nvwgt+v*ncon, cnvwgt+cnvtxs*ncon); - - if (dovsize) - cvsize[cnvtxs] = vsize[v]; - - cadjwgtsum[cnvtxs] = adjwgtsum[v]; - nedges = 0; - - istart = xadj[v]; - iend = xadj[v+1]; - for (j=istart; j<iend; j++) { - k = auxadj[j]; - kk = k&mask; - if ((m = htable[kk]) == -1) { - cadjncy[nedges] = k; - cadjwgt[nedges] = adjwgt[j]; - htable[kk] = nedges++; - } - else if (cadjncy[m] == k) { - cadjwgt[m] += adjwgt[j]; - } - else { - for (jj=0; jj<nedges; jj++) { - if (cadjncy[jj] == k) { - cadjwgt[jj] += adjwgt[j]; - break; - } - } - if (jj == nedges) { - cadjncy[nedges] = k; - cadjwgt[nedges++] = adjwgt[j]; - } - } - } - - if (v != u) { - if (ncon == 1) - cvwgt[cnvtxs] += vwgt[u]; - else - saxpy(ncon, 1.0, nvwgt+u*ncon, 1, cnvwgt+cnvtxs*ncon, 1); - - if (dovsize) - cvsize[cnvtxs] += vsize[u]; - - cadjwgtsum[cnvtxs] += adjwgtsum[u]; - - istart = xadj[u]; - iend = xadj[u+1]; - for (j=istart; j<iend; j++) { - k = auxadj[j]; - kk = k&mask; - if ((m = htable[kk]) == -1) { - cadjncy[nedges] = k; - cadjwgt[nedges] = adjwgt[j]; - htable[kk] = nedges++; - } - else if (cadjncy[m] == k) { - cadjwgt[m] += adjwgt[j]; - } - else { - for (jj=0; jj<nedges; jj++) { - if (cadjncy[jj] == k) { - cadjwgt[jj] += adjwgt[j]; - break; - } - } - if (jj == nedges) { - cadjncy[nedges] = k; - cadjwgt[nedges++] = adjwgt[j]; - } - } - } - - /* Remove the contracted adjacency weight */ - jj = htable[cnvtxs&mask]; - if (jj >= 0 && cadjncy[jj] != cnvtxs) { - for (jj=0; jj<nedges; jj++) { - if (cadjncy[jj] == cnvtxs) - break; - } - } - if (jj >= 0 && cadjncy[jj] == cnvtxs) { /* This 2nd check is needed for non-adjacent matchings */ - cadjwgtsum[cnvtxs] -= cadjwgt[jj]; - cadjncy[jj] = cadjncy[--nedges]; - cadjwgt[jj] = cadjwgt[nedges]; - } - } - - ASSERTP(cadjwgtsum[cnvtxs] == idxsum(nedges, cadjwgt), ("%d %d %d %d %d\n", cnvtxs, cadjwgtsum[cnvtxs], idxsum(nedges, cadjwgt), adjwgtsum[u], adjwgtsum[v])); - - for (j=0; j<nedges; j++) - htable[cadjncy[j]&mask] = -1; /* Zero out the htable */ - htable[cnvtxs&mask] = -1; - - cnedges += nedges; - cxadj[++cnvtxs] = cnedges; - cadjncy += nedges; - cadjwgt += nedges; - } - - cgraph->nedges = cnedges; - - ReAdjustMemory(graph, cgraph, dovsize); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ContractTmr)); - - idxwspacefree(ctrl, mask+1); - -} - - -/************************************************************************* -* This function creates the coarser graph -**************************************************************************/ -void CreateCoarseGraphNoMask(CtrlType *ctrl, GraphType *graph, int cnvtxs, idxtype *match, idxtype *perm) -{ - int i, j, k, m, istart, iend, nvtxs, nedges, ncon, cnedges, v, u, dovsize; - idxtype *xadj, *vwgt, *vsize, *adjncy, *adjwgt, *adjwgtsum, *auxadj; - idxtype *cmap, *htable; - idxtype *cxadj, *cvwgt, *cvsize, *cadjncy, *cadjwgt, *cadjwgtsum; - float *nvwgt, *cnvwgt; - GraphType *cgraph; - - dovsize = (ctrl->optype == OP_KVMETIS ? 1 : 0); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ContractTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - vwgt = graph->vwgt; - vsize = graph->vsize; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - cmap = graph->cmap; - - - /* Initialize the coarser graph */ - cgraph = SetUpCoarseGraph(graph, cnvtxs, dovsize); - cxadj = cgraph->xadj; - cvwgt = cgraph->vwgt; - cvsize = cgraph->vsize; - cnvwgt = cgraph->nvwgt; - cadjwgtsum = cgraph->adjwgtsum; - cadjncy = cgraph->adjncy; - cadjwgt = cgraph->adjwgt; - - - htable = idxset(cnvtxs, -1, idxwspacemalloc(ctrl, cnvtxs)); - - iend = xadj[nvtxs]; - auxadj = ctrl->wspace.auxcore; - memcpy(auxadj, adjncy, iend*sizeof(idxtype)); - for (i=0; i<iend; i++) - auxadj[i] = cmap[auxadj[i]]; - - cxadj[0] = cnvtxs = cnedges = 0; - for (i=0; i<nvtxs; i++) { - v = perm[i]; - if (cmap[v] != cnvtxs) - continue; - - u = match[v]; - if (ncon == 1) - cvwgt[cnvtxs] = vwgt[v]; - else - scopy(ncon, nvwgt+v*ncon, cnvwgt+cnvtxs*ncon); - - if (dovsize) - cvsize[cnvtxs] = vsize[v]; - - cadjwgtsum[cnvtxs] = adjwgtsum[v]; - nedges = 0; - - istart = xadj[v]; - iend = xadj[v+1]; - for (j=istart; j<iend; j++) { - k = auxadj[j]; - if ((m = htable[k]) == -1) { - cadjncy[nedges] = k; - cadjwgt[nedges] = adjwgt[j]; - htable[k] = nedges++; - } - else { - cadjwgt[m] += adjwgt[j]; - } - } - - if (v != u) { - if (ncon == 1) - cvwgt[cnvtxs] += vwgt[u]; - else - saxpy(ncon, 1.0, nvwgt+u*ncon, 1, cnvwgt+cnvtxs*ncon, 1); - - if (dovsize) - cvsize[cnvtxs] += vsize[u]; - - cadjwgtsum[cnvtxs] += adjwgtsum[u]; - - istart = xadj[u]; - iend = xadj[u+1]; - for (j=istart; j<iend; j++) { - k = auxadj[j]; - if ((m = htable[k]) == -1) { - cadjncy[nedges] = k; - cadjwgt[nedges] = adjwgt[j]; - htable[k] = nedges++; - } - else { - cadjwgt[m] += adjwgt[j]; - } - } - - /* Remove the contracted adjacency weight */ - if ((j = htable[cnvtxs]) != -1) { - ASSERT(cadjncy[j] == cnvtxs); - cadjwgtsum[cnvtxs] -= cadjwgt[j]; - cadjncy[j] = cadjncy[--nedges]; - cadjwgt[j] = cadjwgt[nedges]; - htable[cnvtxs] = -1; - } - } - - ASSERTP(cadjwgtsum[cnvtxs] == idxsum(nedges, cadjwgt), ("%d %d\n", cadjwgtsum[cnvtxs], idxsum(nedges, cadjwgt))); - - for (j=0; j<nedges; j++) - htable[cadjncy[j]] = -1; /* Zero out the htable */ - - cnedges += nedges; - cxadj[++cnvtxs] = cnedges; - cadjncy += nedges; - cadjwgt += nedges; - } - - cgraph->nedges = cnedges; - - ReAdjustMemory(graph, cgraph, dovsize); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ContractTmr)); - - idxwspacefree(ctrl, cnvtxs); -} - - -/************************************************************************* -* This function creates the coarser graph -**************************************************************************/ -void CreateCoarseGraph_NVW(CtrlType *ctrl, GraphType *graph, int cnvtxs, idxtype *match, idxtype *perm) -{ - int i, j, jj, k, kk, l, m, istart, iend, nvtxs, nedges, ncon, cnedges, v, u, mask; - idxtype *xadj, *adjncy, *adjwgtsum, *auxadj; - idxtype *cmap, *htable; - idxtype *cxadj, *cvwgt, *cadjncy, *cadjwgt, *cadjwgtsum; - float *nvwgt, *cnvwgt; - GraphType *cgraph; - - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ContractTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgtsum = graph->adjwgtsum; - cmap = graph->cmap; - - /* Initialize the coarser graph */ - cgraph = SetUpCoarseGraph(graph, cnvtxs, 0); - cxadj = cgraph->xadj; - cvwgt = cgraph->vwgt; - cnvwgt = cgraph->nvwgt; - cadjwgtsum = cgraph->adjwgtsum; - cadjncy = cgraph->adjncy; - cadjwgt = cgraph->adjwgt; - - - iend = xadj[nvtxs]; - auxadj = ctrl->wspace.auxcore; - memcpy(auxadj, adjncy, iend*sizeof(idxtype)); - for (i=0; i<iend; i++) - auxadj[i] = cmap[auxadj[i]]; - - mask = HTLENGTH; - htable = idxset(mask+1, -1, idxwspacemalloc(ctrl, mask+1)); - - cxadj[0] = cnvtxs = cnedges = 0; - for (i=0; i<nvtxs; i++) { - v = perm[i]; - if (cmap[v] != cnvtxs) - continue; - - u = match[v]; - cvwgt[cnvtxs] = 1; - cadjwgtsum[cnvtxs] = adjwgtsum[v]; - nedges = 0; - - istart = xadj[v]; - iend = xadj[v+1]; - for (j=istart; j<iend; j++) { - k = auxadj[j]; - kk = k&mask; - if ((m = htable[kk]) == -1) { - cadjncy[nedges] = k; - cadjwgt[nedges] = 1; - htable[kk] = nedges++; - } - else if (cadjncy[m] == k) { - cadjwgt[m]++; - } - else { - for (jj=0; jj<nedges; jj++) { - if (cadjncy[jj] == k) { - cadjwgt[jj]++; - break; - } - } - if (jj == nedges) { - cadjncy[nedges] = k; - cadjwgt[nedges++] = 1; - } - } - } - - if (v != u) { - cvwgt[cnvtxs]++; - cadjwgtsum[cnvtxs] += adjwgtsum[u]; - - istart = xadj[u]; - iend = xadj[u+1]; - for (j=istart; j<iend; j++) { - k = auxadj[j]; - kk = k&mask; - if ((m = htable[kk]) == -1) { - cadjncy[nedges] = k; - cadjwgt[nedges] = 1; - htable[kk] = nedges++; - } - else if (cadjncy[m] == k) { - cadjwgt[m]++; - } - else { - for (jj=0; jj<nedges; jj++) { - if (cadjncy[jj] == k) { - cadjwgt[jj]++; - break; - } - } - if (jj == nedges) { - cadjncy[nedges] = k; - cadjwgt[nedges++] = 1; - } - } - } - - /* Remove the contracted adjacency weight */ - jj = htable[cnvtxs&mask]; - if (jj >= 0 && cadjncy[jj] != cnvtxs) { - for (jj=0; jj<nedges; jj++) { - if (cadjncy[jj] == cnvtxs) - break; - } - } - if (jj >= 0 && cadjncy[jj] == cnvtxs) { /* This 2nd check is needed for non-adjacent matchings */ - cadjwgtsum[cnvtxs] -= cadjwgt[jj]; - cadjncy[jj] = cadjncy[--nedges]; - cadjwgt[jj] = cadjwgt[nedges]; - } - } - - ASSERTP(cadjwgtsum[cnvtxs] == idxsum(nedges, cadjwgt), ("%d %d %d %d %d\n", cnvtxs, cadjwgtsum[cnvtxs], idxsum(nedges, cadjwgt), adjwgtsum[u], adjwgtsum[v])); - - for (j=0; j<nedges; j++) - htable[cadjncy[j]&mask] = -1; /* Zero out the htable */ - htable[cnvtxs&mask] = -1; - - cnedges += nedges; - cxadj[++cnvtxs] = cnedges; - cadjncy += nedges; - cadjwgt += nedges; - } - - cgraph->nedges = cnedges; - - ReAdjustMemory(graph, cgraph, 0); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ContractTmr)); - - idxwspacefree(ctrl, mask+1); - -} - - -/************************************************************************* -* Setup the various arrays for the coarse graph -**************************************************************************/ -GraphType *SetUpCoarseGraph(GraphType *graph, int cnvtxs, int dovsize) -{ - GraphType *cgraph; - - cgraph = CreateGraph(); - cgraph->nvtxs = cnvtxs; - cgraph->ncon = graph->ncon; - - cgraph->finer = graph; - graph->coarser = cgraph; - - - /* Allocate memory for the coarser graph */ - if (graph->ncon == 1) { - if (dovsize) { - cgraph->gdata = idxmalloc(5*cnvtxs+1 + 2*graph->nedges, "SetUpCoarseGraph: gdata"); - cgraph->xadj = cgraph->gdata; - cgraph->vwgt = cgraph->gdata + cnvtxs+1; - cgraph->vsize = cgraph->gdata + 2*cnvtxs+1; - cgraph->adjwgtsum = cgraph->gdata + 3*cnvtxs+1; - cgraph->cmap = cgraph->gdata + 4*cnvtxs+1; - cgraph->adjncy = cgraph->gdata + 5*cnvtxs+1; - cgraph->adjwgt = cgraph->gdata + 5*cnvtxs+1 + graph->nedges; - } - else { - cgraph->gdata = idxmalloc(4*cnvtxs+1 + 2*graph->nedges, "SetUpCoarseGraph: gdata"); - cgraph->xadj = cgraph->gdata; - cgraph->vwgt = cgraph->gdata + cnvtxs+1; - cgraph->adjwgtsum = cgraph->gdata + 2*cnvtxs+1; - cgraph->cmap = cgraph->gdata + 3*cnvtxs+1; - cgraph->adjncy = cgraph->gdata + 4*cnvtxs+1; - cgraph->adjwgt = cgraph->gdata + 4*cnvtxs+1 + graph->nedges; - } - } - else { - if (dovsize) { - cgraph->gdata = idxmalloc(4*cnvtxs+1 + 2*graph->nedges, "SetUpCoarseGraph: gdata"); - cgraph->xadj = cgraph->gdata; - cgraph->vsize = cgraph->gdata + cnvtxs+1; - cgraph->adjwgtsum = cgraph->gdata + 2*cnvtxs+1; - cgraph->cmap = cgraph->gdata + 3*cnvtxs+1; - cgraph->adjncy = cgraph->gdata + 4*cnvtxs+1; - cgraph->adjwgt = cgraph->gdata + 4*cnvtxs+1 + graph->nedges; - } - else { - cgraph->gdata = idxmalloc(3*cnvtxs+1 + 2*graph->nedges, "SetUpCoarseGraph: gdata"); - cgraph->xadj = cgraph->gdata; - cgraph->adjwgtsum = cgraph->gdata + cnvtxs+1; - cgraph->cmap = cgraph->gdata + 2*cnvtxs+1; - cgraph->adjncy = cgraph->gdata + 3*cnvtxs+1; - cgraph->adjwgt = cgraph->gdata + 3*cnvtxs+1 + graph->nedges; - } - - cgraph->nvwgt = fmalloc(graph->ncon*cnvtxs, "SetUpCoarseGraph: nvwgt"); - } - - return cgraph; -} - - -/************************************************************************* -* This function re-adjusts the amount of memory that was allocated if -* it will lead to significant savings -**************************************************************************/ -void ReAdjustMemory(GraphType *graph, GraphType *cgraph, int dovsize) -{ - - if (cgraph->nedges > 100000 && graph->nedges < 0.7*graph->nedges) { - idxcopy(cgraph->nedges, cgraph->adjwgt, cgraph->adjncy+cgraph->nedges); - - if (graph->ncon == 1) { - if (dovsize) { - cgraph->gdata = realloc(cgraph->gdata, (5*cgraph->nvtxs+1 + 2*cgraph->nedges)*sizeof(idxtype)); - - /* Do this, in case everything was copied into new space */ - cgraph->xadj = cgraph->gdata; - cgraph->vwgt = cgraph->gdata + cgraph->nvtxs+1; - cgraph->vsize = cgraph->gdata + 2*cgraph->nvtxs+1; - cgraph->adjwgtsum = cgraph->gdata + 3*cgraph->nvtxs+1; - cgraph->cmap = cgraph->gdata + 4*cgraph->nvtxs+1; - cgraph->adjncy = cgraph->gdata + 5*cgraph->nvtxs+1; - cgraph->adjwgt = cgraph->gdata + 5*cgraph->nvtxs+1 + cgraph->nedges; - } - else { - cgraph->gdata = realloc(cgraph->gdata, (4*cgraph->nvtxs+1 + 2*cgraph->nedges)*sizeof(idxtype)); - - /* Do this, in case everything was copied into new space */ - cgraph->xadj = cgraph->gdata; - cgraph->vwgt = cgraph->gdata + cgraph->nvtxs+1; - cgraph->adjwgtsum = cgraph->gdata + 2*cgraph->nvtxs+1; - cgraph->cmap = cgraph->gdata + 3*cgraph->nvtxs+1; - cgraph->adjncy = cgraph->gdata + 4*cgraph->nvtxs+1; - cgraph->adjwgt = cgraph->gdata + 4*cgraph->nvtxs+1 + cgraph->nedges; - } - } - else { - if (dovsize) { - cgraph->gdata = realloc(cgraph->gdata, (4*cgraph->nvtxs+1 + 2*cgraph->nedges)*sizeof(idxtype)); - - /* Do this, in case everything was copied into new space */ - cgraph->xadj = cgraph->gdata; - cgraph->vsize = cgraph->gdata + cgraph->nvtxs+1; - cgraph->adjwgtsum = cgraph->gdata + 2*cgraph->nvtxs+1; - cgraph->cmap = cgraph->gdata + 3*cgraph->nvtxs+1; - cgraph->adjncy = cgraph->gdata + 4*cgraph->nvtxs+1; - cgraph->adjwgt = cgraph->gdata + 4*cgraph->nvtxs+1 + cgraph->nedges; - } - else { - cgraph->gdata = realloc(cgraph->gdata, (3*cgraph->nvtxs+1 + 2*cgraph->nedges)*sizeof(idxtype)); - - /* Do this, in case everything was copied into new space */ - cgraph->xadj = cgraph->gdata; - cgraph->adjwgtsum = cgraph->gdata + cgraph->nvtxs+1; - cgraph->cmap = cgraph->gdata + 2*cgraph->nvtxs+1; - cgraph->adjncy = cgraph->gdata + 3*cgraph->nvtxs+1; - cgraph->adjwgt = cgraph->gdata + 3*cgraph->nvtxs+1 + cgraph->nedges; - } - } - } - -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/checkgraph.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/checkgraph.c deleted file mode 100644 index 0134ec1..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/checkgraph.c +++ /dev/null @@ -1,127 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * checkgraph.c - * - * This file contains routines related to I/O - * - * Started 8/28/94 - * George - * - * $Id: checkgraph.c,v 1.1 2003/07/24 18:39:06 karypis Exp $ - * - */ - -#include <metis.h> - - - -/************************************************************************* -* This function checks if a graph is valid -**************************************************************************/ -int CheckGraph(GraphType *graph) -{ - int i, j, k, l; - int nvtxs, ncon, err=0; - int minedge, maxedge, minewgt, maxewgt; - float minvwgt[MAXNCON], maxvwgt[MAXNCON]; - idxtype *xadj, *adjncy, *adjwgt, *htable; - float *nvwgt, ntvwgts[MAXNCON]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - htable = idxsmalloc(nvtxs, 0, "htable"); - - if (ncon > 1) { - for (j=0; j<ncon; j++) { - minvwgt[j] = maxvwgt[j] = nvwgt[j]; - ntvwgts[j] = 0.0; - } - } - - minedge = maxedge = adjncy[0]; - minewgt = maxewgt = adjwgt[0]; - - for (i=0; i<nvtxs; i++) { - if (ncon > 1) { - for (j=0; j<ncon; j++) { - ntvwgts[j] += nvwgt[i*ncon+j]; - minvwgt[j] = (nvwgt[i*ncon+j] < minvwgt[j]) ? nvwgt[i*ncon+j] : minvwgt[j]; - maxvwgt[j] = (nvwgt[i*ncon+j] > maxvwgt[j]) ? nvwgt[i*ncon+j] : maxvwgt[j]; - } - } - - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - - minedge = (k < minedge) ? k : minedge; - maxedge = (k > maxedge) ? k : maxedge; - minewgt = (adjwgt[j] < minewgt) ? adjwgt[j] : minewgt; - maxewgt = (adjwgt[j] > maxewgt) ? adjwgt[j] : maxewgt; - - if (i == k) { - printf("Vertex %d contains a self-loop (i.e., diagonal entry in the matrix)!\n", i); - err++; - } - else { - for (l=xadj[k]; l<xadj[k+1]; l++) { - if (adjncy[l] == i) { - if (adjwgt != NULL && adjwgt[l] != adjwgt[j]) { - printf("Edges (%d %d) and (%d %d) do not have the same weight! %d %d\n", i,k,k,i, adjwgt[l], adjwgt[j]); - err++; - } - break; - } - } - if (l == xadj[k+1]) { - printf("Missing edge: (%d %d)!\n", k, i); - err++; - } - } - - if (htable[k] == 0) { - htable[k]++; - } - else { - printf("Edge %d from vertex %d is repeated %d times\n", k, i, htable[k]++); - err++; - } - } - - for (j=xadj[i]; j<xadj[i+1]; j++) { - htable[adjncy[j]] = 0; - } - } - - if (ncon > 1) { - for (j=0; j<ncon; j++) { - if (fabs(ntvwgts[j] - 1.0) > 0.0001) { - printf("Normalized vwgts don't sum to one. Weight %d = %.8f.\n", j, ntvwgts[j]); - err++; - } - } - } - -/* - printf("errs: %d, adjncy: [%d %d], adjwgt: [%d %d]\n", - err, minedge, maxedge, minewgt, maxewgt); - if (ncon > 1) { - for (j=0; j<ncon; j++) - printf("[%.5f %.5f] ", minvwgt[j], maxvwgt[j]); - printf("\n"); - } -*/ - - if (err > 0) { - printf("A total of %d errors exist in the input file. Correct them, and run again!\n", err); - } - - GKfree(&htable, LTERM); - return (err == 0 ? 1 : 0); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/coarsen.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/coarsen.c deleted file mode 100644 index 15f06d3..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/coarsen.c +++ /dev/null @@ -1,86 +0,0 @@ -/* - * coarsen.c - * - * This file contains the driving routines for the coarsening process - * - * Started 7/23/97 - * George - * - * $Id: coarsen.c,v 1.2 2003/07/31 16:23:29 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function takes a graph and creates a sequence of coarser graphs -**************************************************************************/ -GraphType *Coarsen2Way(CtrlType *ctrl, GraphType *graph) -{ - int clevel; - GraphType *cgraph; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->CoarsenTmr)); - - cgraph = graph; - - /* The following is ahack to allow the multiple bisections to go through with correct - coarsening */ - if (ctrl->CType > 20) { - clevel = 1; - ctrl->CType -= 20; - } - else - clevel = 0; - - do { - IFSET(ctrl->dbglvl, DBG_COARSEN, printf("%6d %7d [%d] [%d %d]\n", - cgraph->nvtxs, cgraph->nedges, ctrl->CoarsenTo, ctrl->maxvwgt, - (cgraph->vwgt ? idxsum(cgraph->nvtxs, cgraph->vwgt) : cgraph->nvtxs))); - - if (cgraph->adjwgt) { - switch (ctrl->CType) { - case MATCH_RM: - Match_RM(ctrl, cgraph); - break; - case MATCH_HEM: - if (clevel < 1 || cgraph->nedges == 0) - Match_RM(ctrl, cgraph); - else - Match_HEM(ctrl, cgraph); - break; - case MATCH_SHEM: - if (clevel < 1 || cgraph->nedges == 0) - Match_RM(ctrl, cgraph); - else - Match_SHEM(ctrl, cgraph); - break; - case MATCH_SHEMKWAY: - if (cgraph->nedges == 0) - Match_RM(ctrl, cgraph); - else - Match_SHEM(ctrl, cgraph); - break; - default: - errexit("Unknown CType: %d\n", ctrl->CType); - } - } - else { - Match_RM_NVW(ctrl, cgraph); - } - - cgraph = cgraph->coarser; - clevel++; - - } while (cgraph->nvtxs > ctrl->CoarsenTo && cgraph->nvtxs < COARSEN_FRACTION2*cgraph->finer->nvtxs && cgraph->nedges > cgraph->nvtxs/2); - - IFSET(ctrl->dbglvl, DBG_COARSEN, printf("%6d %7d [%d] [%d %d]\n", - cgraph->nvtxs, cgraph->nedges, ctrl->CoarsenTo, ctrl->maxvwgt, - (cgraph->vwgt ? idxsum(cgraph->nvtxs, cgraph->vwgt) : cgraph->nvtxs))); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->CoarsenTmr)); - - return cgraph; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/compress.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/compress.c deleted file mode 100644 index 6b1cf13..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/compress.c +++ /dev/null @@ -1,256 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * compress.c - * - * This file contains code for compressing nodes with identical adjacency - * structure and for prunning dense columns - * - * Started 9/17/97 - * George - * - * $Id: compress.c,v 1.1 2003/07/16 15:55:01 karypis Exp $ - */ - -#include <metis.h> - -/************************************************************************* -* This function compresses a graph by merging identical vertices -* The compression should lead to at least 10% reduction. -**************************************************************************/ -void CompressGraph(CtrlType *ctrl, GraphType *graph, int nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *cptr, idxtype *cind) -{ - int i, ii, iii, j, jj, k, l, cnvtxs, cnedges; - idxtype *cxadj, *cadjncy, *cvwgt, *mark, *map; - KeyValueType *keys; - - mark = idxsmalloc(nvtxs, -1, "CompressGraph: mark"); - map = idxsmalloc(nvtxs, -1, "CompressGraph: map"); - keys = (KeyValueType *)GKmalloc(nvtxs*sizeof(KeyValueType), "CompressGraph: keys"); - - /* Compute a key for each adjacency list */ - for (i=0; i<nvtxs; i++) { - k = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) - k += adjncy[j]; - keys[i].key = k+i; /* Add the diagonal entry as well */ - keys[i].val = i; - } - - ikeysort(nvtxs, keys); - - l = cptr[0] = 0; - for (cnvtxs=i=0; i<nvtxs; i++) { - ii = keys[i].val; - if (map[ii] == -1) { - mark[ii] = i; /* Add the diagonal entry */ - for (j=xadj[ii]; j<xadj[ii+1]; j++) - mark[adjncy[j]] = i; - - cind[l++] = ii; - map[ii] = cnvtxs; - - for (j=i+1; j<nvtxs; j++) { - iii = keys[j].val; - - if (keys[i].key != keys[j].key || xadj[ii+1]-xadj[ii] != xadj[iii+1]-xadj[iii]) - break; /* Break if keys or degrees are different */ - - if (map[iii] == -1) { /* Do a comparison if iii has not been mapped */ - for (jj=xadj[iii]; jj<xadj[iii+1]; jj++) { - if (mark[adjncy[jj]] != i) - break; - } - - if (jj == xadj[iii+1]) { /* Identical adjacency structure */ - map[iii] = cnvtxs; - cind[l++] = iii; - } - } - } - - cptr[++cnvtxs] = l; - } - } - - /* printf("Original: %6d, Compressed: %6d\n", nvtxs, cnvtxs); */ - - - InitGraph(graph); - - if (cnvtxs >= COMPRESSION_FRACTION*nvtxs) { - graph->nvtxs = nvtxs; - graph->nedges = xadj[nvtxs]; - graph->ncon = 1; - graph->xadj = xadj; - graph->adjncy = adjncy; - - graph->gdata = idxmalloc(3*nvtxs+graph->nedges, "CompressGraph: gdata"); - graph->vwgt = graph->gdata; - graph->adjwgtsum = graph->gdata+nvtxs; - graph->cmap = graph->gdata+2*nvtxs; - graph->adjwgt = graph->gdata+3*nvtxs; - - idxset(nvtxs, 1, graph->vwgt); - idxset(graph->nedges, 1, graph->adjwgt); - for (i=0; i<nvtxs; i++) - graph->adjwgtsum[i] = xadj[i+1]-xadj[i]; - - graph->label = idxmalloc(nvtxs, "CompressGraph: label"); - for (i=0; i<nvtxs; i++) - graph->label[i] = i; - } - else { /* Ok, form the compressed graph */ - cnedges = 0; - for (i=0; i<cnvtxs; i++) { - ii = cind[cptr[i]]; - cnedges += xadj[ii+1]-xadj[ii]; - } - - /* Allocate memory for the compressed graph*/ - graph->gdata = idxmalloc(4*cnvtxs+1 + 2*cnedges, "CompressGraph: gdata"); - cxadj = graph->xadj = graph->gdata; - cvwgt = graph->vwgt = graph->gdata + cnvtxs+1; - graph->adjwgtsum = graph->gdata + 2*cnvtxs+1; - graph->cmap = graph->gdata + 3*cnvtxs+1; - cadjncy = graph->adjncy = graph->gdata + 4*cnvtxs+1; - graph->adjwgt = graph->gdata + 4*cnvtxs+1 + cnedges; - - /* Now go and compress the graph */ - idxset(nvtxs, -1, mark); - l = cxadj[0] = 0; - for (i=0; i<cnvtxs; i++) { - cvwgt[i] = cptr[i+1]-cptr[i]; - mark[i] = i; /* Remove any dioganal entries in the compressed graph */ - for (j=cptr[i]; j<cptr[i+1]; j++) { - ii = cind[j]; - for (jj=xadj[ii]; jj<xadj[ii+1]; jj++) { - k = map[adjncy[jj]]; - if (mark[k] != i) - cadjncy[l++] = k; - mark[k] = i; - } - } - cxadj[i+1] = l; - } - - graph->nvtxs = cnvtxs; - graph->nedges = l; - graph->ncon = 1; - - idxset(graph->nedges, 1, graph->adjwgt); - for (i=0; i<cnvtxs; i++) - graph->adjwgtsum[i] = cxadj[i+1]-cxadj[i]; - - graph->label = idxmalloc(cnvtxs, "CompressGraph: label"); - for (i=0; i<cnvtxs; i++) - graph->label[i] = i; - - } - - GKfree(&keys, &map, &mark, LTERM); -} - - - -/************************************************************************* -* This function prunes all the vertices in a graph with degree greater -* than factor*average -**************************************************************************/ -void PruneGraph(CtrlType *ctrl, GraphType *graph, int nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *iperm, float factor) -{ - int i, j, k, l, nlarge, pnvtxs, pnedges; - idxtype *pxadj, *padjncy, *padjwgt, *pvwgt; - idxtype *perm; - - perm = idxmalloc(nvtxs, "PruneGraph: perm"); - - factor = factor*xadj[nvtxs]/nvtxs; - - pnvtxs = pnedges = nlarge = 0; - for (i=0; i<nvtxs; i++) { - if (xadj[i+1]-xadj[i] < factor) { - perm[i] = pnvtxs; - iperm[pnvtxs++] = i; - pnedges += xadj[i+1]-xadj[i]; - } - else { - perm[i] = nvtxs - ++nlarge; - iperm[nvtxs-nlarge] = i; - } - } - - /* printf("Pruned %d vertices\n", nlarge); */ - - InitGraph(graph); - - if (nlarge == 0) { /* No prunning */ - graph->nvtxs = nvtxs; - graph->nedges = xadj[nvtxs]; - graph->ncon = 1; - graph->xadj = xadj; - graph->adjncy = adjncy; - - graph->gdata = idxmalloc(3*nvtxs+graph->nedges, "CompressGraph: gdata"); - graph->vwgt = graph->gdata; - graph->adjwgtsum = graph->gdata+nvtxs; - graph->cmap = graph->gdata+2*nvtxs; - graph->adjwgt = graph->gdata+3*nvtxs; - - idxset(nvtxs, 1, graph->vwgt); - idxset(graph->nedges, 1, graph->adjwgt); - for (i=0; i<nvtxs; i++) - graph->adjwgtsum[i] = xadj[i+1]-xadj[i]; - - graph->label = idxmalloc(nvtxs, "CompressGraph: label"); - for (i=0; i<nvtxs; i++) - graph->label[i] = i; - } - else { /* Prune the graph */ - /* Allocate memory for the compressed graph*/ - graph->gdata = idxmalloc(4*pnvtxs+1 + 2*pnedges, "PruneGraph: gdata"); - pxadj = graph->xadj = graph->gdata; - graph->vwgt = graph->gdata + pnvtxs+1; - graph->adjwgtsum = graph->gdata + 2*pnvtxs+1; - graph->cmap = graph->gdata + 3*pnvtxs+1; - padjncy = graph->adjncy = graph->gdata + 4*pnvtxs+1; - graph->adjwgt = graph->gdata + 4*pnvtxs+1 + pnedges; - - pxadj[0] = pnedges = l = 0; - for (i=0; i<nvtxs; i++) { - if (xadj[i+1]-xadj[i] < factor) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = perm[adjncy[j]]; - if (k < pnvtxs) - padjncy[pnedges++] = k; - } - pxadj[++l] = pnedges; - } - } - - graph->nvtxs = pnvtxs; - graph->nedges = pnedges; - graph->ncon = 1; - - idxset(pnvtxs, 1, graph->vwgt); - idxset(pnedges, 1, graph->adjwgt); - for (i=0; i<pnvtxs; i++) - graph->adjwgtsum[i] = pxadj[i+1]-pxadj[i]; - - graph->label = idxmalloc(pnvtxs, "CompressGraph: label"); - for (i=0; i<pnvtxs; i++) - graph->label[i] = i; - } - - free(perm); - -} - - - - - - - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/debug.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/debug.c deleted file mode 100644 index b71fe2f..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/debug.c +++ /dev/null @@ -1,239 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * debug.c - * - * This file contains code that performs self debuging - * - * Started 7/24/97 - * George - * - * $Id: debug.c,v 1.1 2003/07/16 15:55:01 karypis Exp $ - * - */ - -#include <metis.h> - -/************************************************************************* -* This function computes the cut given the graph and a where vector -**************************************************************************/ -int ComputeCut(GraphType *graph, idxtype *where) -{ - int i, j, cut; - - if (graph->adjwgt == NULL) { - for (cut=0, i=0; i<graph->nvtxs; i++) { - for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) - if (where[i] != where[graph->adjncy[j]]) - cut++; - } - } - else { - for (cut=0, i=0; i<graph->nvtxs; i++) { - for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) - if (where[i] != where[graph->adjncy[j]]) - cut += graph->adjwgt[j]; - } - } - - return cut/2; -} - - -/************************************************************************* -* This function checks whether or not the boundary information is correct -**************************************************************************/ -int CheckBnd(GraphType *graph) -{ - int i, j, nvtxs, nbnd; - idxtype *xadj, *adjncy, *where, *bndptr, *bndind; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - where = graph->where; - bndptr = graph->bndptr; - bndind = graph->bndind; - - for (nbnd=0, i=0; i<nvtxs; i++) { - if (xadj[i+1]-xadj[i] == 0) - nbnd++; /* Islands are considered to be boundary vertices */ - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (where[i] != where[adjncy[j]]) { - nbnd++; - ASSERT(bndptr[i] != -1); - ASSERT(bndind[bndptr[i]] == i); - break; - } - } - } - - ASSERTP(nbnd == graph->nbnd, ("%d %d\n", nbnd, graph->nbnd)); - - return 1; -} - - - -/************************************************************************* -* This function checks whether or not the boundary information is correct -**************************************************************************/ -int CheckBnd2(GraphType *graph) -{ - int i, j, nvtxs, nbnd, id, ed; - idxtype *xadj, *adjncy, *where, *bndptr, *bndind; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - where = graph->where; - bndptr = graph->bndptr; - bndind = graph->bndind; - - for (nbnd=0, i=0; i<nvtxs; i++) { - id = ed = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (where[i] != where[adjncy[j]]) - ed += graph->adjwgt[j]; - else - id += graph->adjwgt[j]; - } - if (ed - id >= 0 && xadj[i] < xadj[i+1]) { - nbnd++; - ASSERTP(bndptr[i] != -1, ("%d %d %d\n", i, id, ed)); - ASSERT(bndind[bndptr[i]] == i); - } - } - - ASSERTP(nbnd == graph->nbnd, ("%d %d\n", nbnd, graph->nbnd)); - - return 1; -} - -/************************************************************************* -* This function checks whether or not the boundary information is correct -**************************************************************************/ -int CheckNodeBnd(GraphType *graph, int onbnd) -{ - int i, j, nvtxs, nbnd; - idxtype *xadj, *adjncy, *where, *bndptr, *bndind; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - where = graph->where; - bndptr = graph->bndptr; - bndind = graph->bndind; - - for (nbnd=0, i=0; i<nvtxs; i++) { - if (where[i] == 2) - nbnd++; - } - - ASSERTP(nbnd == onbnd, ("%d %d\n", nbnd, onbnd)); - - for (i=0; i<nvtxs; i++) { - if (where[i] != 2) { - ASSERTP(bndptr[i] == -1, ("%d %d\n", i, bndptr[i])); - } - else { - ASSERTP(bndptr[i] != -1, ("%d %d\n", i, bndptr[i])); - } - } - - return 1; -} - - - -/************************************************************************* -* This function checks whether or not the rinfo of a vertex is consistent -**************************************************************************/ -int CheckRInfo(RInfoType *rinfo) -{ - int i, j; - - for (i=0; i<rinfo->ndegrees; i++) { - for (j=i+1; j<rinfo->ndegrees; j++) - ASSERTP(rinfo->edegrees[i].pid != rinfo->edegrees[j].pid, ("%d %d %d %d\n", i, j, rinfo->edegrees[i].pid, rinfo->edegrees[j].pid)); - } - - return 1; -} - - - -/************************************************************************* -* This function checks the correctness of the NodeFM data structures -**************************************************************************/ -int CheckNodePartitionParams(GraphType *graph) -{ - int i, j, k, l, nvtxs, me, other; - idxtype *xadj, *adjncy, *adjwgt, *vwgt, *where; - idxtype edegrees[2], pwgts[3]; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - - /*------------------------------------------------------------ - / Compute now the separator external degrees - /------------------------------------------------------------*/ - pwgts[0] = pwgts[1] = pwgts[2] = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - pwgts[me] += vwgt[i]; - - if (me == 2) { /* If it is on the separator do some computations */ - edegrees[0] = edegrees[1] = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = where[adjncy[j]]; - if (other != 2) - edegrees[other] += vwgt[adjncy[j]]; - } - if (edegrees[0] != graph->nrinfo[i].edegrees[0] || edegrees[1] != graph->nrinfo[i].edegrees[1]) { - printf("Something wrong with edegrees: %d %d %d %d %d\n", i, edegrees[0], edegrees[1], graph->nrinfo[i].edegrees[0], graph->nrinfo[i].edegrees[1]); - return 0; - } - } - } - - if (pwgts[0] != graph->pwgts[0] || pwgts[1] != graph->pwgts[1] || pwgts[2] != graph->pwgts[2]) - printf("Something wrong with part-weights: %d %d %d %d %d %d\n", pwgts[0], pwgts[1], pwgts[2], graph->pwgts[0], graph->pwgts[1], graph->pwgts[2]); - - return 1; -} - - -/************************************************************************* -* This function checks if the separator is indeed a separator -**************************************************************************/ -int IsSeparable(GraphType *graph) -{ - int i, j, nvtxs, other; - idxtype *xadj, *adjncy, *where; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - where = graph->where; - - for (i=0; i<nvtxs; i++) { - if (where[i] == 2) - continue; - other = (where[i]+1)%2; - for (j=xadj[i]; j<xadj[i+1]; j++) { - ASSERTP(where[adjncy[j]] != other, ("%d %d %d %d %d %d\n", i, where[i], adjncy[j], where[adjncy[j]], xadj[i+1]-xadj[i], xadj[adjncy[j]+1]-xadj[adjncy[j]])); - } - } - - return 1; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/defs.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/defs.h deleted file mode 100644 index 8df42c7..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/defs.h +++ /dev/null @@ -1,161 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * defs.h - * - * This file contains constant definitions - * - * Started 8/27/94 - * George - * - * $Id: defs.h,v 1.1 2003/07/16 15:55:01 karypis Exp $ - * - */ - -#define METISTITLE " METIS 4.0 Copyright 1998, Regents of the University of Minnesota\n\n" -#define MAXLINE 1280000 - -#define LTERM (void **) 0 /* List terminator for GKfree() */ - -#define MAXNCON 16 /* The maximum number of constrains */ -#define MAXNOBJ 16 /* The maximum number of objectives */ - -#define PLUS_GAINSPAN 500 /* Parameters for FM buckets */ -#define NEG_GAINSPAN 500 - -#define HTLENGTH ((1<<11)-1) - -/* Meaning of various options[] parameters */ -#define OPTION_PTYPE 0 -#define OPTION_CTYPE 1 -#define OPTION_ITYPE 2 -#define OPTION_RTYPE 3 -#define OPTION_DBGLVL 4 -#define OPTION_OFLAGS 5 -#define OPTION_PFACTOR 6 -#define OPTION_NSEPS 7 - -#define OFLAG_COMPRESS 1 /* Try to compress the graph */ -#define OFLAG_CCMP 2 /* Find and order connected components */ - - -/* Default options for PMETIS */ -#define PMETIS_CTYPE MATCH_SHEM -#define PMETIS_ITYPE IPART_GGPKL -#define PMETIS_RTYPE RTYPE_FM -#define PMETIS_DBGLVL 0 - -/* Default options for KMETIS */ -#define KMETIS_CTYPE MATCH_SHEM -#define KMETIS_ITYPE IPART_PMETIS -#define KMETIS_RTYPE RTYPE_KWAYRANDOM_MCONN -#define KMETIS_DBGLVL 0 - -/* Default options for OEMETIS */ -#define OEMETIS_CTYPE MATCH_SHEM -#define OEMETIS_ITYPE IPART_GGPKL -#define OEMETIS_RTYPE RTYPE_FM -#define OEMETIS_DBGLVL 0 - -/* Default options for ONMETIS */ -#define ONMETIS_CTYPE MATCH_SHEM -#define ONMETIS_ITYPE IPART_GGPKL -#define ONMETIS_RTYPE RTYPE_SEP1SIDED -#define ONMETIS_DBGLVL 0 -#define ONMETIS_OFLAGS OFLAG_COMPRESS -#define ONMETIS_PFACTOR -1 -#define ONMETIS_NSEPS 1 - -/* Default options for McPMETIS */ -#define McPMETIS_CTYPE MATCH_SHEBM_ONENORM -#define McPMETIS_ITYPE IPART_RANDOM -#define McPMETIS_RTYPE RTYPE_FM -#define McPMETIS_DBGLVL 0 - -/* Default options for McKMETIS */ -#define McKMETIS_CTYPE MATCH_SHEBM_ONENORM -#define McKMETIS_ITYPE IPART_McHPMETIS -#define McKMETIS_RTYPE RTYPE_KWAYRANDOM -#define McKMETIS_DBGLVL 0 - -/* Default options for KVMETIS */ -#define KVMETIS_CTYPE MATCH_SHEM -#define KVMETIS_ITYPE IPART_PMETIS -#define KVMETIS_RTYPE RTYPE_KWAYRANDOM -#define KVMETIS_DBGLVL 0 - - -/* Operations supported by stand-alone code */ -#define OP_PMETIS 1 -#define OP_KMETIS 2 -#define OP_OEMETIS 3 -#define OP_ONMETIS 4 -#define OP_ONWMETIS 5 -#define OP_KVMETIS 6 - - -/* Matching Schemes */ -#define MATCH_RM 1 -#define MATCH_HEM 2 -#define MATCH_SHEM 3 -#define MATCH_SHEMKWAY 4 -#define MATCH_SHEBM_ONENORM 5 -#define MATCH_SHEBM_INFNORM 6 -#define MATCH_SBHEM_ONENORM 7 -#define MATCH_SBHEM_INFNORM 8 - -/* Initial partitioning schemes for PMETIS and ONMETIS */ -#define IPART_GGPKL 1 -#define IPART_GGPKLNODE 2 -#define IPART_RANDOM 2 - -/* Refinement schemes for PMETIS */ -#define RTYPE_FM 1 - -/* Initial partitioning schemes for KMETIS */ -#define IPART_PMETIS 1 - -/* Refinement schemes for KMETIS */ -#define RTYPE_KWAYRANDOM 1 -#define RTYPE_KWAYGREEDY 2 -#define RTYPE_KWAYRANDOM_MCONN 3 - -/* Refinement schemes for ONMETIS */ -#define RTYPE_SEP2SIDED 1 -#define RTYPE_SEP1SIDED 2 - -/* Initial Partitioning Schemes for McKMETIS */ -#define IPART_McPMETIS 1 /* Simple McPMETIS */ -#define IPART_McHPMETIS 2 /* horizontally relaxed McPMETIS */ - -#define UNMATCHED -1 - -#define HTABLE_EMPTY -1 - -#define NGR_PASSES 4 /* Number of greedy refinement passes */ -#define NLGR_PASSES 5 /* Number of GR refinement during IPartition */ - -#define LARGENIPARTS 8 /* Number of random initial partitions */ -#define SMALLNIPARTS 3 /* Number of random initial partitions */ - -#define COARSEN_FRACTION 0.75 /* Node reduction between succesive coarsening levels */ -#define COARSEN_FRACTION2 0.90 /* Node reduction between succesive coarsening levels */ -#define UNBALANCE_FRACTION 1.05 - -#define COMPRESSION_FRACTION 0.85 - -#define ORDER_UNBALANCE_FRACTION 1.10 - -#define MMDSWITCH 200 - -#define HORIZONTAL_IMBALANCE 1.05 - -/* Debug Levels */ -#define DBG_TIME 1 /* Perform timing analysis */ -#define DBG_OUTPUT 2 -#define DBG_COARSEN 4 /* Show the coarsening progress */ -#define DBG_REFINE 8 /* Show info on communication during folding */ -#define DBG_IPART 16 /* Show info on initial partition */ -#define DBG_MOVEINFO 32 /* Show info on communication during folding */ -#define DBG_KWAYPINFO 64 /* Show info on communication during folding */ -#define DBG_SEPINFO 128 /* Show info on communication during folding */ diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/estmem.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/estmem.c deleted file mode 100644 index 82b9ac9..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/estmem.c +++ /dev/null @@ -1,157 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * estmem.c - * - * This file contains code for estimating the amount of memory required by - * the various routines in METIS - * - * Started 11/4/97 - * George - * - * $Id: estmem.c,v 1.1 2003/07/16 15:55:02 karypis Exp $ - * - */ - -#include <metis.h> - -/************************************************************************* -* This function computes how much memory will be required by the various -* routines in METIS -**************************************************************************/ -void METIS_EstimateMemory(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *optype, int *nbytes) -{ - int i, j, k, nedges, nlevels; - float vfraction, efraction, vmult, emult; - int coresize, gdata, rdata; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - nedges = xadj[*nvtxs]; - - InitRandom(-1); - EstimateCFraction(*nvtxs, xadj, adjncy, &vfraction, &efraction); - - /* Estimate the amount of memory for coresize */ - if (*optype == 2) - coresize = nedges; - else - coresize = 0; - coresize += nedges + 11*(*nvtxs) + 4*1024 + 2*(NEG_GAINSPAN+PLUS_GAINSPAN+1)*(sizeof(ListNodeType *)/sizeof(idxtype)); - coresize += 2*(*nvtxs); /* add some more fore other vectors */ - - gdata = nedges; /* Assume that the user does not pass weights */ - - nlevels = (int)(log(100.0/(*nvtxs))/log(vfraction) + .5); - vmult = 0.5 + (1.0 - pow(vfraction, nlevels))/(1.0 - vfraction); - emult = 1.0 + (1.0 - pow(efraction, nlevels+1))/(1.0 - efraction); - - gdata += vmult*4*(*nvtxs) + emult*2*nedges; - if ((vmult-1.0)*4*(*nvtxs) + (emult-1.0)*2*nedges < 5*(*nvtxs)) - rdata = 0; - else - rdata = 5*(*nvtxs); - - *nbytes = sizeof(idxtype)*(coresize+gdata+rdata+(*nvtxs)); - - if (*numflag == 1) - Change2FNumbering2(*nvtxs, xadj, adjncy); -} - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void EstimateCFraction(int nvtxs, idxtype *xadj, idxtype *adjncy, float *vfraction, float *efraction) -{ - int i, ii, j, cnvtxs, cnedges, maxidx; - idxtype *match, *cmap, *perm; - - cmap = idxmalloc(nvtxs, "cmap"); - match = idxsmalloc(nvtxs, UNMATCHED, "match"); - perm = idxmalloc(nvtxs, "perm"); - RandomPermute(nvtxs, perm, 1); - - cnvtxs = 0; - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - - /* Find a random matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (match[adjncy[j]] == UNMATCHED) { - maxidx = adjncy[j]; - break; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - cnedges = ComputeCoarseGraphSize(nvtxs, xadj, adjncy, cnvtxs, cmap, match, perm); - - *vfraction = (1.0*cnvtxs)/(1.0*nvtxs); - *efraction = (1.0*cnedges)/(1.0*xadj[nvtxs]); - - GKfree(&cmap, &match, &perm, LTERM); -} - - - - -/************************************************************************* -* This function computes the size of the coarse graph -**************************************************************************/ -int ComputeCoarseGraphSize(int nvtxs, idxtype *xadj, idxtype *adjncy, int cnvtxs, idxtype *cmap, idxtype *match, idxtype *perm) -{ - int i, j, k, istart, iend, nedges, cnedges, v, u; - idxtype *htable; - - htable = idxsmalloc(cnvtxs, -1, "htable"); - - cnvtxs = cnedges = 0; - for (i=0; i<nvtxs; i++) { - v = perm[i]; - if (cmap[v] != cnvtxs) - continue; - - htable[cnvtxs] = cnvtxs; - - u = match[v]; - - istart = xadj[v]; - iend = xadj[v+1]; - for (j=istart; j<iend; j++) { - k = cmap[adjncy[j]]; - if (htable[k] != cnvtxs) { - htable[k] = cnvtxs; - cnedges++; - } - } - - if (v != u) { - istart = xadj[u]; - iend = xadj[u+1]; - for (j=istart; j<iend; j++) { - k = cmap[adjncy[j]]; - if (htable[k] != cnvtxs) { - htable[k] = cnvtxs; - cnedges++; - } - } - } - cnvtxs++; - } - - GKfree(&htable, LTERM); - - return cnedges; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/fm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/fm.c deleted file mode 100644 index 2fc08d2..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/fm.c +++ /dev/null @@ -1,194 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * fm.c - * - * This file contains code that implements the edge-based FM refinement - * - * Started 7/23/97 - * George - * - * $Id: fm.c,v 1.1 2003/07/16 15:55:02 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void FM_2WayEdgeRefine(CtrlType *ctrl, GraphType *graph, int *tpwgts, int npasses) -{ - int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, limit, tmp; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts; - idxtype *moved, *swaps, *perm; - PQueueType parts[2]; - int higain, oldgain, mincut, mindiff, origdiff, initcut, newcut, mincutorder, avgvwgt; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - pwgts = graph->pwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - - limit = amin(amax(0.01*nvtxs, 15), 100); - avgvwgt = amin((pwgts[0]+pwgts[1])/20, 2*(pwgts[0]+pwgts[1])/nvtxs); - - tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]; - PQueueInit(ctrl, &parts[0], nvtxs, tmp); - PQueueInit(ctrl, &parts[1], nvtxs, tmp); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d\n", - pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); - - origdiff = abs(tpwgts[0]-pwgts[0]); - idxset(nvtxs, -1, moved); - for (pass=0; pass<npasses; pass++) { /* Do a number of passes */ - PQueueReset(&parts[0]); - PQueueReset(&parts[1]); - - mincutorder = -1; - newcut = mincut = initcut = graph->mincut; - mindiff = abs(tpwgts[0]-pwgts[0]); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - /* Insert boundary nodes in the priority queues */ - nbnd = graph->nbnd; - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = perm[ii]; - ASSERT(ed[bndind[i]] > 0 || id[bndind[i]] == 0); - ASSERT(bndptr[bndind[i]] != -1); - PQueueInsert(&parts[where[bndind[i]]], bndind[i], ed[bndind[i]]-id[bndind[i]]); - } - - for (nswaps=0; nswaps<nvtxs; nswaps++) { - from = (tpwgts[0]-pwgts[0] < tpwgts[1]-pwgts[1] ? 0 : 1); - to = (from+1)%2; - - if ((higain = PQueueGetMax(&parts[from])) == -1) - break; - ASSERT(bndptr[higain] != -1); - - newcut -= (ed[higain]-id[higain]); - INC_DEC(pwgts[to], pwgts[from], vwgt[higain]); - - if ((newcut < mincut && abs(tpwgts[0]-pwgts[0]) <= origdiff+avgvwgt) || - (newcut == mincut && abs(tpwgts[0]-pwgts[0]) < mindiff)) { - mincut = newcut; - mindiff = abs(tpwgts[0]-pwgts[0]); - mincutorder = nswaps; - } - else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */ - newcut += (ed[higain]-id[higain]); - INC_DEC(pwgts[from], pwgts[to], vwgt[higain]); - break; - } - - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, - printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], newcut, pwgts[0], pwgts[1])); - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update its boundary information and queue position */ - if (bndptr[k] != -1) { /* If k was a boundary vertex */ - if (ed[k] == 0) { /* Not a boundary vertex any more */ - BNDDelete(nbnd, bndind, bndptr, k); - if (moved[k] == -1) /* Remove it if in the queues */ - PQueueDelete(&parts[where[k]], k, oldgain); - } - else { /* If it has not been moved, update its position in the queue */ - if (moved[k] == -1) - PQueueUpdate(&parts[where[k]], k, oldgain, ed[k]-id[k]); - } - } - else { - if (ed[k] > 0) { /* It will now become a boundary vertex */ - BNDInsert(nbnd, bndind, bndptr, k); - if (moved[k] == -1) - PQueueInsert(&parts[where[k]], k, ed[k]-id[k]); - } - } - } - - } - - - /**************************************************************** - * Roll back computations - *****************************************************************/ - for (i=0; i<nswaps; i++) - moved[swaps[i]] = -1; /* reset moved array */ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - to = where[higain] = (where[higain]+1)%2; - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - else if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - INC_DEC(pwgts[to], pwgts[(to+1)%2], vwgt[higain]); - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - if (bndptr[k] != -1 && ed[k] == 0) - BNDDelete(nbnd, bndind, bndptr, k); - if (bndptr[k] == -1 && ed[k] > 0) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\tMinimum cut: %6d at %5d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, mincutorder, pwgts[0], pwgts[1], nbnd)); - - graph->mincut = mincut; - graph->nbnd = nbnd; - - if (mincutorder == -1 || mincut == initcut) - break; - } - - PQueueFree(ctrl, &parts[0]); - PQueueFree(ctrl, &parts[1]); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/fortran.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/fortran.c deleted file mode 100644 index 46ebefd..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/fortran.c +++ /dev/null @@ -1,141 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * fortran.c - * - * This file contains code for the fortran to C interface - * - * Started 8/19/97 - * George - * - * $Id: fortran.c,v 1.1 2003/07/16 15:55:02 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function changes the numbering to start from 0 instead of 1 -**************************************************************************/ -void Change2CNumbering(int nvtxs, idxtype *xadj, idxtype *adjncy) -{ - int i, nedges; - - for (i=0; i<=nvtxs; i++) - xadj[i]--; - - nedges = xadj[nvtxs]; - for (i=0; i<nedges; i++) - adjncy[i]--; -} - -/************************************************************************* -* This function changes the numbering to start from 1 instead of 0 -**************************************************************************/ -void Change2FNumbering(int nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vector) -{ - int i, nedges; - - for (i=0; i<nvtxs; i++) - vector[i]++; - - nedges = xadj[nvtxs]; - for (i=0; i<nedges; i++) - adjncy[i]++; - - for (i=0; i<=nvtxs; i++) - xadj[i]++; -} - -/************************************************************************* -* This function changes the numbering to start from 1 instead of 0 -**************************************************************************/ -void Change2FNumbering2(int nvtxs, idxtype *xadj, idxtype *adjncy) -{ - int i, nedges; - - nedges = xadj[nvtxs]; - for (i=0; i<nedges; i++) - adjncy[i]++; - - for (i=0; i<=nvtxs; i++) - xadj[i]++; -} - - - -/************************************************************************* -* This function changes the numbering to start from 1 instead of 0 -**************************************************************************/ -void Change2FNumberingOrder(int nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *v1, idxtype *v2) -{ - int i, nedges; - - for (i=0; i<nvtxs; i++) { - v1[i]++; - v2[i]++; - } - - nedges = xadj[nvtxs]; - for (i=0; i<nedges; i++) - adjncy[i]++; - - for (i=0; i<=nvtxs; i++) - xadj[i]++; - -} - - - -/************************************************************************* -* This function changes the numbering to start from 0 instead of 1 -**************************************************************************/ -void ChangeMesh2CNumbering(int n, idxtype *mesh) -{ - int i; - - for (i=0; i<n; i++) - mesh[i]--; - -} - - -/************************************************************************* -* This function changes the numbering to start from 1 instead of 0 -**************************************************************************/ -void ChangeMesh2FNumbering(int n, idxtype *mesh, int nvtxs, idxtype *xadj, idxtype *adjncy) -{ - int i, nedges; - - for (i=0; i<n; i++) - mesh[i]++; - - nedges = xadj[nvtxs]; - for (i=0; i<nedges; i++) - adjncy[i]++; - - for (i=0; i<=nvtxs; i++) - xadj[i]++; - -} - - -/************************************************************************* -* This function changes the numbering to start from 1 instead of 0 -**************************************************************************/ -void ChangeMesh2FNumbering2(int n, idxtype *mesh, int ne, int nn, idxtype *epart, idxtype *npart) -{ - int i, nedges; - - for (i=0; i<n; i++) - mesh[i]++; - - for (i=0; i<ne; i++) - epart[i]++; - - for (i=0; i<nn; i++) - npart[i]++; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/frename.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/frename.c deleted file mode 100644 index 5cde8b6..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/frename.c +++ /dev/null @@ -1,312 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * frename.c - * - * This file contains some renaming routines to deal with different Fortran compilers - * - * Started 9/15/97 - * George - * - * $Id: frename.c,v 1.1 2003/07/16 15:55:03 karypis Exp $ - * - */ - -#include <metis.h> - - -void METIS_PARTGRAPHRECURSIVE(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_PartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_partgraphrecursive(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_PartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_partgraphrecursive_(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_PartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_partgraphrecursive__(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_PartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} - - -void METIS_WPARTGRAPHRECURSIVE(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - METIS_WPartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, tpwgts, options, edgecut, part); -} -void metis_wpartgraphrecursive(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - METIS_WPartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, tpwgts, options, edgecut, part); -} -void metis_wpartgraphrecursive_(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - METIS_WPartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, tpwgts, options, edgecut, part); -} -void metis_wpartgraphrecursive__(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - METIS_WPartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, tpwgts, options, edgecut, part); -} - - - -void METIS_PARTGRAPHKWAY(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_PartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_partgraphkway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_PartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_partgraphkway_(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_PartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_partgraphkway__(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_PartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} - - - -void METIS_WPARTGRAPHKWAY(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - METIS_WPartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, tpwgts, options, edgecut, part); -} -void metis_wpartgraphkway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - METIS_WPartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, tpwgts, options, edgecut, part); -} -void metis_wpartgraphkway_(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - METIS_WPartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, tpwgts, options, edgecut, part); -} -void metis_wpartgraphkway__(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - METIS_WPartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, tpwgts, options, edgecut, part); -} - - - -void METIS_EDGEND(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_EdgeND(nvtxs, xadj, adjncy, numflag, options, perm, iperm); -} -void metis_edgend(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_EdgeND(nvtxs, xadj, adjncy, numflag, options, perm, iperm); -} -void metis_edgend_(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_EdgeND(nvtxs, xadj, adjncy, numflag, options, perm, iperm); -} -void metis_edgend__(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_EdgeND(nvtxs, xadj, adjncy, numflag, options, perm, iperm); -} - - - -void METIS_NODEND(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_NodeND(nvtxs, xadj, adjncy, numflag, options, perm, iperm); -} -void metis_nodend(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_NodeND(nvtxs, xadj, adjncy, numflag, options, perm, iperm); -} -void metis_nodend_(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_NodeND(nvtxs, xadj, adjncy, numflag, options, perm, iperm); -} -void metis_nodend__(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_NodeND(nvtxs, xadj, adjncy, numflag, options, perm, iperm); -} - - - -void METIS_NODEWND(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_NodeWND(nvtxs, xadj, adjncy, vwgt, numflag, options, perm, iperm); -} -void metis_nodewnd(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_NodeWND(nvtxs, xadj, adjncy, vwgt, numflag, options, perm, iperm); -} -void metis_nodewnd_(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_NodeWND(nvtxs, xadj, adjncy, vwgt, numflag, options, perm, iperm); -} -void metis_nodewnd__(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, int *numflag, int *options, idxtype *perm, idxtype *iperm) -{ - METIS_NodeWND(nvtxs, xadj, adjncy, vwgt, numflag, options, perm, iperm); -} - - - -void METIS_PARTMESHNODAL(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - METIS_PartMeshNodal(ne, nn, elmnts, etype, numflag, nparts, edgecut, epart, npart); -} -void metis_partmeshnodal(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - METIS_PartMeshNodal(ne, nn, elmnts, etype, numflag, nparts, edgecut, epart, npart); -} -void metis_partmeshnodal_(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - METIS_PartMeshNodal(ne, nn, elmnts, etype, numflag, nparts, edgecut, epart, npart); -} -void metis_partmeshnodal__(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - METIS_PartMeshNodal(ne, nn, elmnts, etype, numflag, nparts, edgecut, epart, npart); -} - - -void METIS_PARTMESHDUAL(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - METIS_PartMeshDual(ne, nn, elmnts, etype, numflag, nparts, edgecut, epart, npart); -} -void metis_partmeshdual(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - METIS_PartMeshDual(ne, nn, elmnts, etype, numflag, nparts, edgecut, epart, npart); -} -void metis_partmeshdual_(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - METIS_PartMeshDual(ne, nn, elmnts, etype, numflag, nparts, edgecut, epart, npart); -} -void metis_partmeshdual__(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - METIS_PartMeshDual(ne, nn, elmnts, etype, numflag, nparts, edgecut, epart, npart); -} - - -void METIS_MESHTONODAL(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, idxtype *dxadj, idxtype *dadjncy) -{ - METIS_MeshToNodal(ne, nn, elmnts, etype, numflag, dxadj, dadjncy); -} -void metis_meshtonodal(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, idxtype *dxadj, idxtype *dadjncy) -{ - METIS_MeshToNodal(ne, nn, elmnts, etype, numflag, dxadj, dadjncy); -} -void metis_meshtonodal_(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, idxtype *dxadj, idxtype *dadjncy) -{ - METIS_MeshToNodal(ne, nn, elmnts, etype, numflag, dxadj, dadjncy); -} -void metis_meshtonodal__(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, idxtype *dxadj, idxtype *dadjncy) -{ - METIS_MeshToNodal(ne, nn, elmnts, etype, numflag, dxadj, dadjncy); -} - - -void METIS_MESHTODUAL(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, idxtype *dxadj, idxtype *dadjncy) -{ - METIS_MeshToDual(ne, nn, elmnts, etype, numflag, dxadj, dadjncy); -} -void metis_meshtodual(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, idxtype *dxadj, idxtype *dadjncy) -{ - METIS_MeshToDual(ne, nn, elmnts, etype, numflag, dxadj, dadjncy); -} -void metis_meshtodual_(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, idxtype *dxadj, idxtype *dadjncy) -{ - METIS_MeshToDual(ne, nn, elmnts, etype, numflag, dxadj, dadjncy); -} -void metis_meshtodual__(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, idxtype *dxadj, idxtype *dadjncy) -{ - METIS_MeshToDual(ne, nn, elmnts, etype, numflag, dxadj, dadjncy); -} - - -void METIS_ESTIMATEMEMORY(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *optype, int *nbytes) -{ - METIS_EstimateMemory(nvtxs, xadj, adjncy, numflag, optype, nbytes); -} -void metis_estimatememory(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *optype, int *nbytes) -{ - METIS_EstimateMemory(nvtxs, xadj, adjncy, numflag, optype, nbytes); -} -void metis_estimatememory_(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *optype, int *nbytes) -{ - METIS_EstimateMemory(nvtxs, xadj, adjncy, numflag, optype, nbytes); -} -void metis_estimatememory__(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *optype, int *nbytes) -{ - METIS_EstimateMemory(nvtxs, xadj, adjncy, numflag, optype, nbytes); -} - - - -void METIS_MCPARTGRAPHRECURSIVE(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_mCPartGraphRecursive(nvtxs, ncon, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_mcpartgraphrecursive(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_mCPartGraphRecursive(nvtxs, ncon, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_mcpartgraphrecursive_(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_mCPartGraphRecursive(nvtxs, ncon, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} -void metis_mcpartgraphrecursive__(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part) -{ - METIS_mCPartGraphRecursive(nvtxs, ncon, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, part); -} - - -void METIS_MCPARTGRAPHKWAY(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *rubvec, int *options, int *edgecut, idxtype *part) -{ - METIS_mCPartGraphKway(nvtxs, ncon, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, rubvec, options, edgecut, part); -} -void metis_mcpartgraphkway(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *rubvec, int *options, int *edgecut, idxtype *part) -{ - METIS_mCPartGraphKway(nvtxs, ncon, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, rubvec, options, edgecut, part); -} -void metis_mcpartgraphkway_(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *rubvec, int *options, int *edgecut, idxtype *part) -{ - METIS_mCPartGraphKway(nvtxs, ncon, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, rubvec, options, edgecut, part); -} -void metis_mcpartgraphkway__(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *rubvec, int *options, int *edgecut, idxtype *part) -{ - METIS_mCPartGraphKway(nvtxs, ncon, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, rubvec, options, edgecut, part); -} - - -void METIS_PARTGRAPHVKWAY(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int *wgtflag, int *numflag, int *nparts, int *options, int *volume, idxtype *part) -{ - METIS_PartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, options, volume, part); -} -void metis_partgraphvkaway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int *wgtflag, int *numflag, int *nparts, int *options, int *volume, idxtype *part) -{ - METIS_PartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, options, volume, part); -} -void metis_partgraphvkaway_(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int *wgtflag, int *numflag, int *nparts, int *options, int *volume, idxtype *part) -{ - METIS_PartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, options, volume, part); -} -void metis_partgraphvkaway__(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int *wgtflag, int *numflag, int *nparts, int *options, int *volume, idxtype *part) -{ - METIS_PartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, options, volume, part); -} - -void METIS_WPARTGRAPHVKWAY(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *volume, idxtype *part) -{ - METIS_WPartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, tpwgts, options, volume, part); -} -void metis_wpartgraphvkaway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *volume, idxtype *part) -{ - METIS_WPartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, tpwgts, options, volume, part); -} -void metis_wpartgraphvkaway_(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *volume, idxtype *part) -{ - METIS_WPartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, tpwgts, options, volume, part); -} -void metis_wpartgraphvkaway__(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *volume, idxtype *part) -{ - METIS_WPartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, tpwgts, options, volume, part); -} - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/graph.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/graph.c deleted file mode 100644 index 9a93784..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/graph.c +++ /dev/null @@ -1,616 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * graph.c - * - * This file contains functions that deal with setting up the graphs - * for METIS. - * - * Started 7/25/97 - * George - * - * $Id: graph.c,v 1.2 2003/07/31 06:14:01 karypis Exp $ - * - */ - -#include <metis.h> - -/************************************************************************* -* This function sets up the graph from the user input -**************************************************************************/ -void SetUpGraph(GraphType *graph, int OpType, int nvtxs, int ncon, - idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int wgtflag) -{ - int i, j, k, sum, gsize; - float *nvwgt; - idxtype tvwgt[MAXNCON]; - - if (OpType == OP_KMETIS && ncon == 1 && (wgtflag&2) == 0 && (wgtflag&1) == 0) { - SetUpGraphKway(graph, nvtxs, xadj, adjncy); - return; - } - - InitGraph(graph); - - graph->nvtxs = nvtxs; - graph->nedges = xadj[nvtxs]; - graph->ncon = ncon; - graph->xadj = xadj; - graph->adjncy = adjncy; - - if (ncon == 1) { /* We are in the non mC mode */ - gsize = 0; - if ((wgtflag&2) == 0) - gsize += nvtxs; - if ((wgtflag&1) == 0) - gsize += graph->nedges; - - gsize += 2*nvtxs; - - graph->gdata = idxmalloc(gsize, "SetUpGraph: gdata"); - - /* Create the vertex/edge weight vectors if they are not supplied */ - gsize = 0; - if ((wgtflag&2) == 0) { - vwgt = graph->vwgt = idxset(nvtxs, 1, graph->gdata); - gsize += nvtxs; - } - else - graph->vwgt = vwgt; - - if ((wgtflag&1) == 0) { - adjwgt = graph->adjwgt = idxset(graph->nedges, 1, graph->gdata+gsize); - gsize += graph->nedges; - } - else - graph->adjwgt = adjwgt; - - - /* Compute the initial values of the adjwgtsum */ - graph->adjwgtsum = graph->gdata + gsize; - gsize += nvtxs; - - for (i=0; i<nvtxs; i++) { - sum = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) - sum += adjwgt[j]; - graph->adjwgtsum[i] = sum; - } - - graph->cmap = graph->gdata + gsize; - gsize += nvtxs; - - } - else { /* Set up the graph in MOC mode */ - gsize = 0; - if ((wgtflag&1) == 0) - gsize += graph->nedges; - - gsize += 2*nvtxs; - - graph->gdata = idxmalloc(gsize, "SetUpGraph: gdata"); - gsize = 0; - - for (i=0; i<ncon; i++) - tvwgt[i] = idxsum_strd(nvtxs, vwgt+i, ncon); - - nvwgt = graph->nvwgt = fmalloc(ncon*nvtxs, "SetUpGraph: nvwgt"); - - for (i=0; i<nvtxs; i++) { - for (j=0; j<ncon; j++) - nvwgt[i*ncon+j] = (1.0*vwgt[i*ncon+j])/(1.0*tvwgt[j]); - } - - - /* Create the edge weight vectors if they are not supplied */ - if ((wgtflag&1) == 0) { - adjwgt = graph->adjwgt = idxset(graph->nedges, 1, graph->gdata+gsize); - gsize += graph->nedges; - } - else - graph->adjwgt = adjwgt; - - /* Compute the initial values of the adjwgtsum */ - graph->adjwgtsum = graph->gdata + gsize; - gsize += nvtxs; - - for (i=0; i<nvtxs; i++) { - sum = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) - sum += adjwgt[j]; - graph->adjwgtsum[i] = sum; - } - - graph->cmap = graph->gdata + gsize; - gsize += nvtxs; - - } - - if (OpType != OP_KMETIS && OpType != OP_KVMETIS) { - graph->label = idxmalloc(nvtxs, "SetUpGraph: label"); - - for (i=0; i<nvtxs; i++) - graph->label[i] = i; - } - -} - - -/************************************************************************* -* This function sets up the graph from the user input -**************************************************************************/ -void SetUpGraphKway(GraphType *graph, int nvtxs, idxtype *xadj, idxtype *adjncy) -{ - int i; - - InitGraph(graph); - - graph->nvtxs = nvtxs; - graph->nedges = xadj[nvtxs]; - graph->ncon = 1; - graph->xadj = xadj; - graph->vwgt = NULL; - graph->adjncy = adjncy; - graph->adjwgt = NULL; - - graph->gdata = idxmalloc(2*nvtxs, "SetUpGraph: gdata"); - graph->adjwgtsum = graph->gdata; - graph->cmap = graph->gdata + nvtxs; - - /* Compute the initial values of the adjwgtsum */ - for (i=0; i<nvtxs; i++) - graph->adjwgtsum[i] = xadj[i+1]-xadj[i]; - -} - - - -/************************************************************************* -* This function sets up the graph from the user input -**************************************************************************/ -void SetUpGraph2(GraphType *graph, int nvtxs, int ncon, idxtype *xadj, - idxtype *adjncy, float *nvwgt, idxtype *adjwgt) -{ - int i, j, sum; - - InitGraph(graph); - - graph->nvtxs = nvtxs; - graph->nedges = xadj[nvtxs]; - graph->ncon = ncon; - graph->xadj = xadj; - graph->adjncy = adjncy; - graph->adjwgt = adjwgt; - - graph->nvwgt = fmalloc(nvtxs*ncon, "SetUpGraph2: graph->nvwgt"); - scopy(nvtxs*ncon, nvwgt, graph->nvwgt); - - graph->gdata = idxmalloc(2*nvtxs, "SetUpGraph: gdata"); - - /* Compute the initial values of the adjwgtsum */ - graph->adjwgtsum = graph->gdata; - for (i=0; i<nvtxs; i++) { - sum = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) - sum += adjwgt[j]; - graph->adjwgtsum[i] = sum; - } - - graph->cmap = graph->gdata+nvtxs; - - graph->label = idxmalloc(nvtxs, "SetUpGraph: label"); - for (i=0; i<nvtxs; i++) - graph->label[i] = i; - -} - - -/************************************************************************* -* This function sets up the graph from the user input -**************************************************************************/ -void VolSetUpGraph(GraphType *graph, int OpType, int nvtxs, int ncon, idxtype *xadj, - idxtype *adjncy, idxtype *vwgt, idxtype *vsize, int wgtflag) -{ - int i, j, k, sum, gsize; - idxtype *adjwgt; - float *nvwgt; - idxtype tvwgt[MAXNCON]; - - InitGraph(graph); - - graph->nvtxs = nvtxs; - graph->nedges = xadj[nvtxs]; - graph->ncon = ncon; - graph->xadj = xadj; - graph->adjncy = adjncy; - - if (ncon == 1) { /* We are in the non mC mode */ - gsize = graph->nedges; /* This is for the edge weights */ - if ((wgtflag&2) == 0) - gsize += nvtxs; /* vwgts */ - if ((wgtflag&1) == 0) - gsize += nvtxs; /* vsize */ - - gsize += 2*nvtxs; - - graph->gdata = idxmalloc(gsize, "SetUpGraph: gdata"); - - /* Create the vertex/edge weight vectors if they are not supplied */ - gsize = 0; - if ((wgtflag&2) == 0) { - vwgt = graph->vwgt = idxset(nvtxs, 1, graph->gdata); - gsize += nvtxs; - } - else - graph->vwgt = vwgt; - - if ((wgtflag&1) == 0) { - vsize = graph->vsize = idxset(nvtxs, 1, graph->gdata); - gsize += nvtxs; - } - else - graph->vsize = vsize; - - /* Allocate memory for edge weights and initialize them to the sum of the vsize */ - adjwgt = graph->adjwgt = graph->gdata+gsize; - gsize += graph->nedges; - - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) - adjwgt[j] = 1+vsize[i]+vsize[adjncy[j]]; - } - - - /* Compute the initial values of the adjwgtsum */ - graph->adjwgtsum = graph->gdata + gsize; - gsize += nvtxs; - - for (i=0; i<nvtxs; i++) { - sum = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) - sum += adjwgt[j]; - graph->adjwgtsum[i] = sum; - } - - graph->cmap = graph->gdata + gsize; - gsize += nvtxs; - - } - else { /* Set up the graph in MOC mode */ - gsize = graph->nedges; - if ((wgtflag&1) == 0) - gsize += nvtxs; - - gsize += 2*nvtxs; - - graph->gdata = idxmalloc(gsize, "SetUpGraph: gdata"); - gsize = 0; - - /* Create the normalized vertex weights along each constrain */ - if ((wgtflag&2) == 0) - vwgt = idxsmalloc(nvtxs, 1, "SetUpGraph: vwgt"); - - for (i=0; i<ncon; i++) - tvwgt[i] = idxsum_strd(nvtxs, vwgt+i, ncon); - - nvwgt = graph->nvwgt = fmalloc(ncon*nvtxs, "SetUpGraph: nvwgt"); - - for (i=0; i<nvtxs; i++) { - for (j=0; j<ncon; j++) - nvwgt[i*ncon+j] = (1.0*vwgt[i*ncon+j])/(1.0*tvwgt[j]); - } - if ((wgtflag&2) == 0) - free(vwgt); - - - /* Create the vsize vector if it is not supplied */ - if ((wgtflag&1) == 0) { - vsize = graph->vsize = idxset(nvtxs, 1, graph->gdata); - gsize += nvtxs; - } - else - graph->vsize = vsize; - - /* Allocate memory for edge weights and initialize them to the sum of the vsize */ - adjwgt = graph->adjwgt = graph->gdata+gsize; - gsize += graph->nedges; - - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) - adjwgt[j] = 1+vsize[i]+vsize[adjncy[j]]; - } - - /* Compute the initial values of the adjwgtsum */ - graph->adjwgtsum = graph->gdata + gsize; - gsize += nvtxs; - - for (i=0; i<nvtxs; i++) { - sum = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) - sum += adjwgt[j]; - graph->adjwgtsum[i] = sum; - } - - graph->cmap = graph->gdata + gsize; - gsize += nvtxs; - - } - - if (OpType != OP_KVMETIS) { - graph->label = idxmalloc(nvtxs, "SetUpGraph: label"); - - for (i=0; i<nvtxs; i++) - graph->label[i] = i; - } - -} - - -/************************************************************************* -* This function randomly permutes the adjacency lists of a graph -**************************************************************************/ -void RandomizeGraph(GraphType *graph) -{ - int i, j, k, l, tmp, nvtxs; - idxtype *xadj, *adjncy, *adjwgt; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - for (i=0; i<nvtxs; i++) { - l = xadj[i+1]-xadj[i]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = xadj[i] + RandomInRange(l); - SWAP(adjncy[j], adjncy[k], tmp); - SWAP(adjwgt[j], adjwgt[k], tmp); - } - } -} - - -/************************************************************************* -* This function checks whether or not partition pid is contigous -**************************************************************************/ -int IsConnectedSubdomain(CtrlType *ctrl, GraphType *graph, int pid, int report) -{ - int i, j, k, nvtxs, first, last, nleft, ncmps, wgt; - idxtype *xadj, *adjncy, *where, *touched, *queue; - idxtype *cptr; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - where = graph->where; - - touched = idxsmalloc(nvtxs, 0, "IsConnected: touched"); - queue = idxmalloc(nvtxs, "IsConnected: queue"); - cptr = idxmalloc(nvtxs+1, "IsConnected: cptr"); - - nleft = 0; - for (i=0; i<nvtxs; i++) { - if (where[i] == pid) - nleft++; - } - - for (i=0; i<nvtxs; i++) { - if (where[i] == pid) - break; - } - - touched[i] = 1; - queue[0] = i; - first = 0; last = 1; - - cptr[0] = 0; /* This actually points to queue */ - ncmps = 0; - while (first != nleft) { - if (first == last) { /* Find another starting vertex */ - cptr[++ncmps] = first; - for (i=0; i<nvtxs; i++) { - if (where[i] == pid && !touched[i]) - break; - } - queue[last++] = i; - touched[i] = 1; - } - - i = queue[first++]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (where[k] == pid && !touched[k]) { - queue[last++] = k; - touched[k] = 1; - } - } - } - cptr[++ncmps] = first; - - if (ncmps > 1 && report) { - printf("The graph has %d connected components in partition %d:\t", ncmps, pid); - for (i=0; i<ncmps; i++) { - wgt = 0; - for (j=cptr[i]; j<cptr[i+1]; j++) - wgt += graph->vwgt[queue[j]]; - printf("[%5d %5d] ", cptr[i+1]-cptr[i], wgt); - /* - if (cptr[i+1]-cptr[i] == 1) - printf("[%d %d] ", queue[cptr[i]], xadj[queue[cptr[i]]+1]-xadj[queue[cptr[i]]]); - */ - } - printf("\n"); - } - - GKfree(&touched, &queue, &cptr, LTERM); - - return (ncmps == 1 ? 1 : 0); -} - - -/************************************************************************* -* This function checks whether a graph is contigous or not -**************************************************************************/ -int IsConnected(CtrlType *ctrl, GraphType *graph, int report) -{ - int i, j, k, nvtxs, first, last; - idxtype *xadj, *adjncy, *touched, *queue; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - - touched = idxsmalloc(nvtxs, 0, "IsConnected: touched"); - queue = idxmalloc(nvtxs, "IsConnected: queue"); - - touched[0] = 1; - queue[0] = 0; - first = 0; last = 1; - - while (first < last) { - i = queue[first++]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (!touched[k]) { - queue[last++] = k; - touched[k] = 1; - } - } - } - - if (first != nvtxs && report) - printf("The graph is not connected. It has %d disconnected vertices!\n", nvtxs-first); - - return (first == nvtxs ? 1 : 0); -} - - -/************************************************************************* -* This function checks whether or not partition pid is contigous -**************************************************************************/ -int IsConnected2(GraphType *graph, int report) -{ - int i, j, k, nvtxs, first, last, nleft, ncmps, wgt; - idxtype *xadj, *adjncy, *where, *touched, *queue; - idxtype *cptr; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - where = graph->where; - - touched = idxsmalloc(nvtxs, 0, "IsConnected: touched"); - queue = idxmalloc(nvtxs, "IsConnected: queue"); - cptr = idxmalloc(nvtxs+1, "IsConnected: cptr"); - - nleft = nvtxs; - touched[0] = 1; - queue[0] = 0; - first = 0; last = 1; - - cptr[0] = 0; /* This actually points to queue */ - ncmps = 0; - while (first != nleft) { - if (first == last) { /* Find another starting vertex */ - cptr[++ncmps] = first; - for (i=0; i<nvtxs; i++) { - if (!touched[i]) - break; - } - queue[last++] = i; - touched[i] = 1; - } - - i = queue[first++]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (!touched[k]) { - queue[last++] = k; - touched[k] = 1; - } - } - } - cptr[++ncmps] = first; - - if (ncmps > 1 && report) { - printf("%d connected components:\t", ncmps); - for (i=0; i<ncmps; i++) { - if (cptr[i+1]-cptr[i] > 200) - printf("[%5d] ", cptr[i+1]-cptr[i]); - } - printf("\n"); - } - - GKfree(&touched, &queue, &cptr, LTERM); - - return (ncmps == 1 ? 1 : 0); -} - - -/************************************************************************* -* This function returns the number of connected components in cptr,cind -* The separator of the graph is used to split it and then find its components. -**************************************************************************/ -int FindComponents(CtrlType *ctrl, GraphType *graph, idxtype *cptr, idxtype *cind) -{ - int i, j, k, nvtxs, first, last, nleft, ncmps, wgt; - idxtype *xadj, *adjncy, *where, *touched, *queue; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - where = graph->where; - - touched = idxsmalloc(nvtxs, 0, "IsConnected: queue"); - - for (i=0; i<graph->nbnd; i++) - touched[graph->bndind[i]] = 1; - - queue = cind; - - nleft = 0; - for (i=0; i<nvtxs; i++) { - if (where[i] != 2) - nleft++; - } - - for (i=0; i<nvtxs; i++) { - if (where[i] != 2) - break; - } - - touched[i] = 1; - queue[0] = i; - first = 0; last = 1; - - cptr[0] = 0; /* This actually points to queue */ - ncmps = 0; - while (first != nleft) { - if (first == last) { /* Find another starting vertex */ - cptr[++ncmps] = first; - for (i=0; i<nvtxs; i++) { - if (!touched[i]) - break; - } - queue[last++] = i; - touched[i] = 1; - } - - i = queue[first++]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (!touched[k]) { - queue[last++] = k; - touched[k] = 1; - } - } - } - cptr[++ncmps] = first; - - free(touched); - - return ncmps; -} - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/initpart.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/initpart.c deleted file mode 100644 index 075cfb9..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/initpart.c +++ /dev/null @@ -1,425 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * initpart.c - * - * This file contains code that performs the initial partition of the - * coarsest graph - * - * Started 7/23/97 - * George - * - * $Id: initpart.c,v 1.2 2003/07/31 16:23:29 karypis Exp $ - * - */ - -#include <metis.h> - -/************************************************************************* -* This function computes the initial bisection of the coarsest graph -**************************************************************************/ -void Init2WayPartition(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor) -{ - int dbglvl; - - dbglvl = ctrl->dbglvl; - IFSET(ctrl->dbglvl, DBG_REFINE, ctrl->dbglvl -= DBG_REFINE); - IFSET(ctrl->dbglvl, DBG_MOVEINFO, ctrl->dbglvl -= DBG_MOVEINFO); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - - switch (ctrl->IType) { - case IPART_GGPKL: - if (graph->nedges == 0) - RandomBisection(ctrl, graph, tpwgts, ubfactor); - else - GrowBisection(ctrl, graph, tpwgts, ubfactor); - break; - case 3: - RandomBisection(ctrl, graph, tpwgts, ubfactor); - break; - default: - errexit("Unknown initial partition type: %d\n", ctrl->IType); - } - - IFSET(ctrl->dbglvl, DBG_IPART, printf("Initial Cut: %d\n", graph->mincut)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - ctrl->dbglvl = dbglvl; - -/* - IsConnectedSubdomain(ctrl, graph, 0); - IsConnectedSubdomain(ctrl, graph, 1); -*/ -} - -/************************************************************************* -* This function computes the initial bisection of the coarsest graph -**************************************************************************/ -void InitSeparator(CtrlType *ctrl, GraphType *graph, float ubfactor) -{ - int dbglvl; - - dbglvl = ctrl->dbglvl; - IFSET(ctrl->dbglvl, DBG_REFINE, ctrl->dbglvl -= DBG_REFINE); - IFSET(ctrl->dbglvl, DBG_MOVEINFO, ctrl->dbglvl -= DBG_MOVEINFO); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - - GrowBisectionNode(ctrl, graph, ubfactor); - Compute2WayNodePartitionParams(ctrl, graph); - - IFSET(ctrl->dbglvl, DBG_IPART, printf("Initial Sep: %d\n", graph->mincut)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - - ctrl->dbglvl = dbglvl; - -} - - - -/************************************************************************* -* This function takes a graph and produces a bisection by using a region -* growing algorithm. The resulting partition is returned in -* graph->where -**************************************************************************/ -void GrowBisection(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor) -{ - int i, j, k, nvtxs, drain, nleft, first, last, pwgts[2], minpwgt[2], maxpwgt[2], from, bestcut, icut, mincut, me, pass, nbfs; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where; - idxtype *queue, *touched, *gain, *bestwhere; - - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - Allocate2WayPartitionMemory(ctrl, graph); - where = graph->where; - - bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere"); - queue = idxmalloc(nvtxs, "BisectGraph: queue"); - touched = idxmalloc(nvtxs, "BisectGraph: touched"); - - ASSERTP(tpwgts[0]+tpwgts[1] == idxsum(nvtxs, vwgt), ("%d %d\n", tpwgts[0]+tpwgts[1], idxsum(nvtxs, vwgt))); - - maxpwgt[0] = ubfactor*tpwgts[0]; - maxpwgt[1] = ubfactor*tpwgts[1]; - minpwgt[0] = (1.0/ubfactor)*tpwgts[0]; - minpwgt[1] = (1.0/ubfactor)*tpwgts[1]; - - nbfs = (nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS); - bestcut = idxsum(nvtxs, graph->adjwgtsum)+1; /* The +1 is for the 0 edges case */ - for (; nbfs>0; nbfs--) { - idxset(nvtxs, 0, touched); - - pwgts[1] = tpwgts[0]+tpwgts[1]; - pwgts[0] = 0; - - idxset(nvtxs, 1, where); - - queue[0] = RandomInRange(nvtxs); - touched[queue[0]] = 1; - first = 0; last = 1; - nleft = nvtxs-1; - drain = 0; - - /* Start the BFS from queue to get a partition */ - for (;;) { - if (first == last) { /* Empty. Disconnected graph! */ - if (nleft == 0 || drain) - break; - - k = RandomInRange(nleft); - for (i=0; i<nvtxs; i++) { - if (touched[i] == 0) { - if (k == 0) - break; - else - k--; - } - } - - queue[0] = i; - touched[i] = 1; - first = 0; last = 1;; - nleft--; - } - - i = queue[first++]; - if (pwgts[0] > 0 && pwgts[1]-vwgt[i] < minpwgt[1]) { - drain = 1; - continue; - } - - where[i] = 0; - INC_DEC(pwgts[0], pwgts[1], vwgt[i]); - if (pwgts[1] <= maxpwgt[1]) - break; - - drain = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (touched[k] == 0) { - queue[last++] = k; - touched[k] = 1; - nleft--; - } - } - } - - /* Check to see if we hit any bad limiting cases */ - if (pwgts[1] == 0) { - i = RandomInRange(nvtxs); - where[i] = 1; - INC_DEC(pwgts[1], pwgts[0], vwgt[i]); - } - - /************************************************************* - * Do some partition refinement - **************************************************************/ - Compute2WayPartitionParams(ctrl, graph); - /*printf("IPART: %3d [%5d %5d] [%5d %5d] %5d\n", graph->nvtxs, pwgts[0], pwgts[1], graph->pwgts[0], graph->pwgts[1], graph->mincut); */ - - Balance2Way(ctrl, graph, tpwgts, ubfactor); - /*printf("BPART: [%5d %5d] %5d\n", graph->pwgts[0], graph->pwgts[1], graph->mincut);*/ - - FM_2WayEdgeRefine(ctrl, graph, tpwgts, 4); - /*printf("RPART: [%5d %5d] %5d\n", graph->pwgts[0], graph->pwgts[1], graph->mincut);*/ - - if (bestcut > graph->mincut) { - bestcut = graph->mincut; - idxcopy(nvtxs, where, bestwhere); - if (bestcut == 0) - break; - } - } - - graph->mincut = bestcut; - idxcopy(nvtxs, bestwhere, where); - - GKfree(&bestwhere, &queue, &touched, LTERM); -} - - - - -/************************************************************************* -* This function takes a graph and produces a bisection by using a region -* growing algorithm. The resulting partition is returned in -* graph->where -**************************************************************************/ -void GrowBisectionNode(CtrlType *ctrl, GraphType *graph, float ubfactor) -{ - int i, j, k, nvtxs, drain, nleft, first, last, pwgts[2], tpwgts[2], minpwgt[2], maxpwgt[2], from, bestcut, icut, mincut, me, pass, nbfs; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *bndind; - idxtype *queue, *touched, *gain, *bestwhere; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere"); - queue = idxmalloc(nvtxs, "BisectGraph: queue"); - touched = idxmalloc(nvtxs, "BisectGraph: touched"); - - tpwgts[0] = idxsum(nvtxs, vwgt); - tpwgts[1] = tpwgts[0]/2; - tpwgts[0] -= tpwgts[1]; - - maxpwgt[0] = ubfactor*tpwgts[0]; - maxpwgt[1] = ubfactor*tpwgts[1]; - minpwgt[0] = (1.0/ubfactor)*tpwgts[0]; - minpwgt[1] = (1.0/ubfactor)*tpwgts[1]; - - /* Allocate memory for graph->rdata. Allocate sufficient memory for both edge and node */ - graph->rdata = idxmalloc(5*nvtxs+3, "GrowBisectionNode: graph->rdata"); - graph->pwgts = graph->rdata; - graph->where = graph->rdata + 3; - graph->bndptr = graph->rdata + nvtxs + 3; - graph->bndind = graph->rdata + 2*nvtxs + 3; - graph->nrinfo = (NRInfoType *)(graph->rdata + 3*nvtxs + 3); - graph->id = graph->rdata + 3*nvtxs + 3; - graph->ed = graph->rdata + 4*nvtxs + 3; - - where = graph->where; - bndind = graph->bndind; - - nbfs = (nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS); - bestcut = tpwgts[0]+tpwgts[1]; - for (nbfs++; nbfs>0; nbfs--) { - idxset(nvtxs, 0, touched); - - pwgts[1] = tpwgts[0]+tpwgts[1]; - pwgts[0] = 0; - - idxset(nvtxs, 1, where); - - queue[0] = RandomInRange(nvtxs); - touched[queue[0]] = 1; - first = 0; last = 1; - nleft = nvtxs-1; - drain = 0; - - /* Start the BFS from queue to get a partition */ - if (nbfs >= 1) { - for (;;) { - if (first == last) { /* Empty. Disconnected graph! */ - if (nleft == 0 || drain) - break; - - k = RandomInRange(nleft); - for (i=0; i<nvtxs; i++) { - if (touched[i] == 0) { - if (k == 0) - break; - else - k--; - } - } - - queue[0] = i; - touched[i] = 1; - first = 0; last = 1;; - nleft--; - } - - i = queue[first++]; - if (pwgts[1]-vwgt[i] < minpwgt[1]) { - drain = 1; - continue; - } - - where[i] = 0; - INC_DEC(pwgts[0], pwgts[1], vwgt[i]); - if (pwgts[1] <= maxpwgt[1]) - break; - - drain = 0; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (touched[k] == 0) { - queue[last++] = k; - touched[k] = 1; - nleft--; - } - } - } - } - - /************************************************************* - * Do some partition refinement - **************************************************************/ - Compute2WayPartitionParams(ctrl, graph); - Balance2Way(ctrl, graph, tpwgts, ubfactor); - FM_2WayEdgeRefine(ctrl, graph, tpwgts, 4); - - /* Construct and refine the vertex separator */ - for (i=0; i<graph->nbnd; i++) - where[bndind[i]] = 2; - - Compute2WayNodePartitionParams(ctrl, graph); - FM_2WayNodeRefine(ctrl, graph, ubfactor, 6); - - /* printf("ISep: [%d %d %d] %d\n", graph->pwgts[0], graph->pwgts[1], graph->pwgts[2], bestcut); */ - - if (bestcut > graph->mincut) { - bestcut = graph->mincut; - idxcopy(nvtxs, where, bestwhere); - } - } - - graph->mincut = bestcut; - idxcopy(nvtxs, bestwhere, where); - - Compute2WayNodePartitionParams(ctrl, graph); - - GKfree(&bestwhere, &queue, &touched, LTERM); -} - - -/************************************************************************* -* This function takes a graph and produces a bisection by using a region -* growing algorithm. The resulting partition is returned in -* graph->where -**************************************************************************/ -void RandomBisection(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor) -{ - int i, ii, j, k, nvtxs, pwgts[2], minpwgt[2], maxpwgt[2], from, bestcut, icut, mincut, me, pass, nbfs; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where; - idxtype *perm, *bestwhere; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - Allocate2WayPartitionMemory(ctrl, graph); - where = graph->where; - - bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere"); - perm = idxmalloc(nvtxs, "BisectGraph: queue"); - - ASSERTP(tpwgts[0]+tpwgts[1] == idxsum(nvtxs, vwgt), ("%d %d\n", tpwgts[0]+tpwgts[1], idxsum(nvtxs, vwgt))); - - maxpwgt[0] = ubfactor*tpwgts[0]; - maxpwgt[1] = ubfactor*tpwgts[1]; - minpwgt[0] = (1.0/ubfactor)*tpwgts[0]; - minpwgt[1] = (1.0/ubfactor)*tpwgts[1]; - - nbfs = (nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS); - bestcut = idxsum(nvtxs, graph->adjwgtsum)+1; /* The +1 is for the 0 edges case */ - for (; nbfs>0; nbfs--) { - RandomPermute(nvtxs, perm, 1); - - idxset(nvtxs, 1, where); - pwgts[1] = tpwgts[0]+tpwgts[1]; - pwgts[0] = 0; - - - if (nbfs != 1) { - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - if (pwgts[0]+vwgt[i] < maxpwgt[0]) { - where[i] = 0; - pwgts[0] += vwgt[i]; - pwgts[1] -= vwgt[i]; - if (pwgts[0] > minpwgt[0]) - break; - } - } - } - - /************************************************************* - * Do some partition refinement - **************************************************************/ - Compute2WayPartitionParams(ctrl, graph); - /* printf("IPART: %3d [%5d %5d] [%5d %5d] %5d\n", graph->nvtxs, pwgts[0], pwgts[1], graph->pwgts[0], graph->pwgts[1], graph->mincut); */ - - Balance2Way(ctrl, graph, tpwgts, ubfactor); - /* printf("BPART: [%5d %5d] %5d\n", graph->pwgts[0], graph->pwgts[1], graph->mincut); */ - - FM_2WayEdgeRefine(ctrl, graph, tpwgts, 4); - /* printf("RPART: [%5d %5d] %5d\n", graph->pwgts[0], graph->pwgts[1], graph->mincut); */ - - if (bestcut > graph->mincut) { - bestcut = graph->mincut; - idxcopy(nvtxs, where, bestwhere); - if (bestcut == 0) - break; - } - } - - graph->mincut = bestcut; - idxcopy(nvtxs, bestwhere, where); - - GKfree(&bestwhere, &perm, LTERM); -} - - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kmetis.c deleted file mode 100644 index 87c3a59..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kmetis.c +++ /dev/null @@ -1,129 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * kmetis.c - * - * This file contains the top level routines for the multilevel k-way partitioning - * algorithm KMETIS. - * - * Started 7/28/97 - * George - * - * $Id: kmetis.c,v 1.1 2003/07/16 15:55:04 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point for KMETIS -**************************************************************************/ -void METIS_PartGraphKway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - int *options, int *edgecut, idxtype *part) -{ - int i; - float *tpwgts; - - tpwgts = fmalloc(*nparts, "KMETIS: tpwgts"); - for (i=0; i<*nparts; i++) - tpwgts[i] = 1.0/(1.0*(*nparts)); - - METIS_WPartGraphKway(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, - tpwgts, options, edgecut, part); - - free(tpwgts); -} - - -/************************************************************************* -* This function is the entry point for KWMETIS -**************************************************************************/ -void METIS_WPartGraphKway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_KMETIS, *nvtxs, 1, xadj, adjncy, vwgt, adjwgt, *wgtflag); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = KMETIS_CTYPE; - ctrl.IType = KMETIS_ITYPE; - ctrl.RType = KMETIS_RTYPE; - ctrl.dbglvl = KMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_KMETIS; - ctrl.CoarsenTo = amax((*nvtxs)/(40*log2Int(*nparts)), 20*(*nparts)); - ctrl.maxvwgt = 1.5*((graph.vwgt ? idxsum(*nvtxs, graph.vwgt) : (*nvtxs))/ctrl.CoarsenTo); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - *edgecut = MlevelKWayPartitioning(&ctrl, &graph, *nparts, part, tpwgts, 1.03); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -int MlevelKWayPartitioning(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part, float *tpwgts, float ubfactor) -{ - int i, j, nvtxs, tvwgt, tpwgts2[2]; - GraphType *cgraph; - int wgtflag=3, numflag=0, options[10], edgecut; - - cgraph = Coarsen2Way(ctrl, graph); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - AllocateKWayPartitionMemory(ctrl, cgraph, nparts); - - options[0] = 1; - options[OPTION_CTYPE] = MATCH_SHEMKWAY; - options[OPTION_ITYPE] = IPART_GGPKL; - options[OPTION_RTYPE] = RTYPE_FM; - options[OPTION_DBGLVL] = 0; - - METIS_WPartGraphRecursive(&cgraph->nvtxs, cgraph->xadj, cgraph->adjncy, cgraph->vwgt, - cgraph->adjwgt, &wgtflag, &numflag, &nparts, tpwgts, options, - &edgecut, cgraph->where); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - IFSET(ctrl->dbglvl, DBG_IPART, printf("Initial %d-way partitioning cut: %d\n", nparts, edgecut)); - - IFSET(ctrl->dbglvl, DBG_KWAYPINFO, ComputePartitionInfo(cgraph, nparts, cgraph->where)); - - RefineKWay(ctrl, graph, cgraph, nparts, tpwgts, ubfactor); - - idxcopy(graph->nvtxs, graph->where, part); - - GKfree(&graph->gdata, &graph->rdata, LTERM); - - return graph->mincut; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kvmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kvmetis.c deleted file mode 100644 index 5bc0a67..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kvmetis.c +++ /dev/null @@ -1,130 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * kvmetis.c - * - * This file contains the top level routines for the multilevel k-way partitioning - * algorithm KMETIS. - * - * Started 7/28/97 - * George - * - * $Id: kvmetis.c,v 1.1 2003/07/16 15:55:04 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point for KMETIS -**************************************************************************/ -void METIS_PartGraphVKway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *vsize, int *wgtflag, int *numflag, int *nparts, - int *options, int *volume, idxtype *part) -{ - int i; - float *tpwgts; - - tpwgts = fmalloc(*nparts, "KMETIS: tpwgts"); - for (i=0; i<*nparts; i++) - tpwgts[i] = 1.0/(1.0*(*nparts)); - - METIS_WPartGraphVKway(nvtxs, xadj, adjncy, vwgt, vsize, wgtflag, numflag, nparts, - tpwgts, options, volume, part); - - free(tpwgts); -} - - -/************************************************************************* -* This function is the entry point for KWMETIS -**************************************************************************/ -void METIS_WPartGraphVKway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *vsize, int *wgtflag, int *numflag, int *nparts, - float *tpwgts, int *options, int *volume, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - VolSetUpGraph(&graph, OP_KVMETIS, *nvtxs, 1, xadj, adjncy, vwgt, vsize, *wgtflag); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = KVMETIS_CTYPE; - ctrl.IType = KVMETIS_ITYPE; - ctrl.RType = KVMETIS_RTYPE; - ctrl.dbglvl = KVMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_KVMETIS; - ctrl.CoarsenTo = amax((*nvtxs)/(40*log2Int(*nparts)), 20*(*nparts)); - ctrl.maxvwgt = 1.5*((graph.vwgt ? idxsum(*nvtxs, graph.vwgt) : (*nvtxs))/ctrl.CoarsenTo); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - *volume = MlevelVolKWayPartitioning(&ctrl, &graph, *nparts, part, tpwgts, 1.03); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -int MlevelVolKWayPartitioning(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part, - float *tpwgts, float ubfactor) -{ - int i, j, nvtxs, tvwgt, tpwgts2[2]; - GraphType *cgraph; - int wgtflag=3, numflag=0, options[10], edgecut; - - cgraph = Coarsen2Way(ctrl, graph); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - AllocateVolKWayPartitionMemory(ctrl, cgraph, nparts); - - options[0] = 1; - options[OPTION_CTYPE] = MATCH_SHEMKWAY; - options[OPTION_ITYPE] = IPART_GGPKL; - options[OPTION_RTYPE] = RTYPE_FM; - options[OPTION_DBGLVL] = 0; - - METIS_WPartGraphRecursive(&cgraph->nvtxs, cgraph->xadj, cgraph->adjncy, cgraph->vwgt, - cgraph->adjwgt, &wgtflag, &numflag, &nparts, tpwgts, options, - &edgecut, cgraph->where); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - IFSET(ctrl->dbglvl, DBG_IPART, printf("Initial %d-way partitioning cut: %d\n", nparts, edgecut)); - - IFSET(ctrl->dbglvl, DBG_KWAYPINFO, ComputePartitionInfo(cgraph, nparts, cgraph->where)); - - RefineVolKWay(ctrl, graph, cgraph, nparts, tpwgts, ubfactor); - - idxcopy(graph->nvtxs, graph->where, part); - - GKfree(&graph->gdata, &graph->rdata, LTERM); - - return graph->minvol; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayfm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayfm.c deleted file mode 100644 index 170dcf3..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayfm.c +++ /dev/null @@ -1,672 +0,0 @@ -/* - * kwayfm.c - * - * This file contains code that implements the multilevel k-way refinement - * - * Started 7/28/97 - * George - * - * $Id: kwayfm.c,v 1.1 2003/07/16 15:55:04 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Random_KWayEdgeRefine(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor, int npasses, int ffactor) -{ - int i, ii, iii, j, jj, k, l, pass, nvtxs, nmoves, nbnd, tvwgt, myndegrees; - int from, me, to, oldcut, vwgt, gain; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *itpwgts; - EDegreeType *myedegrees; - RInfoType *myrinfo; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndptr = graph->bndptr; - bndind = graph->bndind; - - where = graph->where; - pwgts = graph->pwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut)); - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - oldcut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (nmoves=iii=0; iii<graph->nbnd; iii++) { - ii = perm[iii]; - if (ii >= nbnd) - continue; - i = bndind[ii]; - - myrinfo = graph->rinfo+i; - - if (myrinfo->ed >= myrinfo->id) { /* Total ED is too high */ - from = where[i]; - vwgt = graph->vwgt[i]; - - if (myrinfo->id > 0 && pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - j = myrinfo->id; - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - gain = myedegrees[k].ed-j; /* j = myrinfo->id. Allow good nodes to move */ - if (pwgts[to]+vwgt <= maxwgt[to]+ffactor*gain && gain >= 0) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if ((myedegrees[j].ed > myedegrees[k].ed && pwgts[to]+vwgt <= maxwgt[to]) || - (myedegrees[j].ed == myedegrees[k].ed && - itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid])) - k = j; - } - - to = myedegrees[k].pid; - - j = 0; - if (myedegrees[k].ed-myrinfo->id > 0) - j = 1; - else if (myedegrees[k].ed-myrinfo->id == 0) { - if ((iii&7) == 0 || pwgts[from] >= maxwgt[from] || itpwgts[from]*(pwgts[to]+vwgt) < itpwgts[to]*pwgts[from]) - j = 1; - } - if (j == 0) - continue; - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); - - /* Update where, weight, and ID/ED information of the vertex you moved */ - where[i] = to; - INC_DEC(pwgts[to], pwgts[from], vwgt); - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed-myrinfo->id < 0) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); - ASSERT(CheckRInfo(myrinfo)); - - } - nmoves++; - } - } - - graph->nbnd = nbnd; - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d, Vol: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut, ComputeVolume(graph, where))); - - if (graph->mincut == oldcut) - break; - } - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); -} - - - - - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Greedy_KWayEdgeRefine(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor, int npasses) -{ - int i, ii, iii, j, jj, k, l, pass, nvtxs, nbnd, tvwgt, myndegrees, oldgain, gain; - int from, me, to, oldcut, vwgt; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *moved, *itpwgts; - EDegreeType *myedegrees; - RInfoType *myrinfo; - PQueueType queue; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - - where = graph->where; - pwgts = graph->pwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - moved = idxwspacemalloc(ctrl, nvtxs); - - PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut)); - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - PQueueReset(&queue); - idxset(nvtxs, -1, moved); - - oldcut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - PQueueInsert(&queue, i, graph->rinfo[i].ed - graph->rinfo[i].id); - moved[i] = 2; - } - - for (iii=0;;iii++) { - if ((i = PQueueGetMax(&queue)) == -1) - break; - moved[i] = 1; - - myrinfo = graph->rinfo+i; - from = where[i]; - vwgt = graph->vwgt[i]; - - if (pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - j = myrinfo->id; - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - gain = myedegrees[k].ed-j; /* j = myrinfo->id. Allow good nodes to move */ - if (pwgts[to]+vwgt <= maxwgt[to]+gain && gain >= 0) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if ((myedegrees[j].ed > myedegrees[k].ed && pwgts[to]+vwgt <= maxwgt[to]) || - (myedegrees[j].ed == myedegrees[k].ed && - itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid])) - k = j; - } - - to = myedegrees[k].pid; - - j = 0; - if (myedegrees[k].ed-myrinfo->id > 0) - j = 1; - else if (myedegrees[k].ed-myrinfo->id == 0) { - if ((iii&7) == 0 || pwgts[from] >= maxwgt[from] || itpwgts[from]*(pwgts[to]+vwgt) < itpwgts[to]*pwgts[from]) - j = 1; - } - if (j == 0) - continue; - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); - - /* Update where, weight, and ID/ED information of the vertex you moved */ - where[i] = to; - INC_DEC(pwgts[to], pwgts[from], vwgt); - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed < myrinfo->id) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - oldgain = (myrinfo->ed-myrinfo->id); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - /* Update the queue */ - if (me == to || me == from) { - gain = myrinfo->ed-myrinfo->id; - if (moved[ii] == 2) { - if (gain >= 0) - PQueueUpdate(&queue, ii, oldgain, gain); - else { - PQueueDelete(&queue, ii, oldgain); - moved[ii] = -1; - } - } - else if (moved[ii] == -1 && gain >= 0) { - PQueueInsert(&queue, ii, gain); - moved[ii] = 2; - } - } - - ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); - ASSERT(CheckRInfo(myrinfo)); - - } - } - - graph->nbnd = nbnd; - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Cut: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, graph->mincut)); - - if (graph->mincut == oldcut) - break; - } - - PQueueFree(ctrl, &queue); - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - -} - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Greedy_KWayEdgeBalance(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor, int npasses) -{ - int i, ii, iii, j, jj, k, l, pass, nvtxs, nbnd, tvwgt, myndegrees, oldgain, gain, nmoves; - int from, me, to, oldcut, vwgt; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *moved, *itpwgts; - EDegreeType *myedegrees; - RInfoType *myrinfo; - PQueueType queue; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - - where = graph->where; - pwgts = graph->pwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - moved = idxwspacemalloc(ctrl, nvtxs); - - PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d [B]\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut)); - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - /* Check to see if things are out of balance, given the tolerance */ - for (i=0; i<nparts; i++) { - if (pwgts[i] > maxwgt[i]) - break; - } - if (i == nparts) /* Things are balanced. Return right away */ - break; - - PQueueReset(&queue); - idxset(nvtxs, -1, moved); - - oldcut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - PQueueInsert(&queue, i, graph->rinfo[i].ed - graph->rinfo[i].id); - moved[i] = 2; - } - - nmoves = 0; - for (;;) { - if ((i = PQueueGetMax(&queue)) == -1) - break; - moved[i] = 1; - - myrinfo = graph->rinfo+i; - from = where[i]; - vwgt = graph->vwgt[i]; - - if (pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - if (pwgts[to]+vwgt <= maxwgt[to] || itpwgts[from]*(pwgts[to]+vwgt) <= itpwgts[to]*pwgts[from]) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if (itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid]) - k = j; - } - - to = myedegrees[k].pid; - - if (pwgts[from] < maxwgt[from] && pwgts[to] > minwgt[to] && myedegrees[k].ed-myrinfo->id < 0) - continue; - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); - - /* Update where, weight, and ID/ED information of the vertex you moved */ - where[i] = to; - INC_DEC(pwgts[to], pwgts[from], vwgt); - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed == 0) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - oldgain = (myrinfo->ed-myrinfo->id); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed > 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed == 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - /* Update the queue */ - if (me == to || me == from) { - gain = myrinfo->ed-myrinfo->id; - if (moved[ii] == 2) { - if (myrinfo->ed > 0) - PQueueUpdate(&queue, ii, oldgain, gain); - else { - PQueueDelete(&queue, ii, oldgain); - moved[ii] = -1; - } - } - else if (moved[ii] == -1 && myrinfo->ed > 0) { - PQueueInsert(&queue, ii, gain); - moved[ii] = 2; - } - } - - ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); - ASSERT(CheckRInfo(myrinfo)); - } - nmoves++; - } - - graph->nbnd = nbnd; - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut)); - } - - PQueueFree(ctrl, &queue); - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayrefine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayrefine.c deleted file mode 100644 index a6d58f7..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayrefine.c +++ /dev/null @@ -1,392 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * kwayrefine.c - * - * This file contains the driving routines for multilevel k-way refinement - * - * Started 7/28/97 - * George - * - * $Id: kwayrefine.c,v 1.1 2003/07/16 15:55:05 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of refinement -**************************************************************************/ -void RefineKWay(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, int nparts, float *tpwgts, float ubfactor) -{ - int i, nlevels, mustfree=0; - GraphType *ptr; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); - - /* Compute the parameters of the coarsest graph */ - ComputeKWayPartitionParams(ctrl, graph, nparts); - - /* Take care any non-contiguity */ - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->AuxTmr1)); - if (ctrl->RType == RTYPE_KWAYRANDOM_MCONN) { - EliminateComponents(ctrl, graph, nparts, tpwgts, 1.25); - EliminateSubDomainEdges(ctrl, graph, nparts, tpwgts); - EliminateComponents(ctrl, graph, nparts, tpwgts, 1.25); - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->AuxTmr1)); - - /* Determine how many levels are there */ - for (ptr=graph, nlevels=0; ptr!=orggraph; ptr=ptr->finer, nlevels++); - - for (i=0; ;i++) { - /* PrintSubDomainGraph(graph, nparts, graph->where); */ - if (ctrl->RType == RTYPE_KWAYRANDOM_MCONN && (i == nlevels/2 || i == nlevels/2+1)) - EliminateSubDomainEdges(ctrl, graph, nparts, tpwgts); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); - - if (2*i >= nlevels && !IsBalanced(graph->pwgts, nparts, tpwgts, 1.04*ubfactor)) { - ComputeKWayBalanceBoundary(ctrl, graph, nparts); - if (ctrl->RType == RTYPE_KWAYRANDOM_MCONN) - Greedy_KWayEdgeBalanceMConn(ctrl, graph, nparts, tpwgts, ubfactor, 1); - else - Greedy_KWayEdgeBalance(ctrl, graph, nparts, tpwgts, ubfactor, 1); - ComputeKWayBoundary(ctrl, graph, nparts); - } - - switch (ctrl->RType) { - case RTYPE_KWAYRANDOM: - Random_KWayEdgeRefine(ctrl, graph, nparts, tpwgts, ubfactor, 10, 1); - break; - case RTYPE_KWAYGREEDY: - Greedy_KWayEdgeRefine(ctrl, graph, nparts, tpwgts, ubfactor, 10); - break; - case RTYPE_KWAYRANDOM_MCONN: - Random_KWayEdgeRefineMConn(ctrl, graph, nparts, tpwgts, ubfactor, 10, 1); - break; - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); - - if (graph == orggraph) - break; - - GKfree(&graph->gdata, LTERM); /* Deallocate the graph related arrays */ - - graph = graph->finer; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - if (graph->vwgt == NULL) { - graph->vwgt = idxsmalloc(graph->nvtxs, 1, "RefineKWay: graph->vwgt"); - graph->adjwgt = idxsmalloc(graph->nedges, 1, "RefineKWay: graph->adjwgt"); - mustfree = 1; - } - ProjectKWayPartition(ctrl, graph, nparts); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); - } - - if (!IsBalanced(graph->pwgts, nparts, tpwgts, ubfactor)) { - ComputeKWayBalanceBoundary(ctrl, graph, nparts); - if (ctrl->RType == RTYPE_KWAYRANDOM_MCONN) { - Greedy_KWayEdgeBalanceMConn(ctrl, graph, nparts, tpwgts, ubfactor, 8); - Random_KWayEdgeRefineMConn(ctrl, graph, nparts, tpwgts, ubfactor, 10, 0); - } - else { - Greedy_KWayEdgeBalance(ctrl, graph, nparts, tpwgts, ubfactor, 8); - Random_KWayEdgeRefine(ctrl, graph, nparts, tpwgts, ubfactor, 10, 0); - } - } - - /* Take care any trivial non-contiguity */ - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->AuxTmr2)); - EliminateComponents(ctrl, graph, nparts, tpwgts, ubfactor); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->AuxTmr2)); - - if (mustfree) - GKfree(&graph->vwgt, &graph->adjwgt, LTERM); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); -} - - -/************************************************************************* -* This function allocates memory for k-way edge refinement -**************************************************************************/ -void AllocateKWayPartitionMemory(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int nvtxs, pad64; - - nvtxs = graph->nvtxs; - - pad64 = (3*nvtxs+nparts)%2; - - graph->rdata = idxmalloc(3*nvtxs+nparts+(sizeof(RInfoType)/sizeof(idxtype))*nvtxs+pad64, "AllocateKWayPartitionMemory: rdata"); - graph->pwgts = graph->rdata; - graph->where = graph->rdata + nparts; - graph->bndptr = graph->rdata + nvtxs + nparts; - graph->bndind = graph->rdata + 2*nvtxs + nparts; - graph->rinfo = (RInfoType *)(graph->rdata + 3*nvtxs+nparts + pad64); - -/* - if (ctrl->wspace.edegrees != NULL) - free(ctrl->wspace.edegrees); - ctrl->wspace.edegrees = (EDegreeType *)GKmalloc(graph->nedges*sizeof(EDegreeType), "AllocateKWayPartitionMemory: edegrees"); -*/ -} - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void ComputeKWayPartitionParams(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, j, k, l, nvtxs, nbnd, mincut, me, other; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *pwgts, *where, *bndind, *bndptr; - RInfoType *rinfo, *myrinfo; - EDegreeType *myedegrees; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - pwgts = idxset(nparts, 0, graph->pwgts); - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - rinfo = graph->rinfo; - - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - ctrl->wspace.cdegree = 0; - nbnd = mincut = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - pwgts[me] += vwgt[i]; - - myrinfo = rinfo+i; - myrinfo->id = myrinfo->ed = myrinfo->ndegrees = 0; - myrinfo->edegrees = NULL; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me != where[adjncy[j]]) - myrinfo->ed += adjwgt[j]; - } - myrinfo->id = graph->adjwgtsum[i] - myrinfo->ed; - - if (myrinfo->ed > 0) - mincut += myrinfo->ed; - - if (myrinfo->ed-myrinfo->id >= 0) - BNDInsert(nbnd, bndind, bndptr, i); - - /* Time to compute the particular external degrees */ - if (myrinfo->ed > 0) { - myedegrees = myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[i+1]-xadj[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = where[adjncy[j]]; - if (me != other) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == other) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = other; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - } - - ASSERT(myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - } - } - - graph->mincut = mincut/2; - graph->nbnd = nbnd; - -} - - - -/************************************************************************* -* This function projects a partition, and at the same time computes the -* parameters for refinement. -**************************************************************************/ -void ProjectKWayPartition(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, j, k, nvtxs, nbnd, me, other, istart, iend, ndegrees; - idxtype *xadj, *adjncy, *adjwgt, *adjwgtsum; - idxtype *cmap, *where, *bndptr, *bndind; - idxtype *cwhere; - GraphType *cgraph; - RInfoType *crinfo, *rinfo, *myrinfo; - EDegreeType *myedegrees; - idxtype *htable; - - cgraph = graph->coarser; - cwhere = cgraph->where; - crinfo = cgraph->rinfo; - - nvtxs = graph->nvtxs; - cmap = graph->cmap; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - - AllocateKWayPartitionMemory(ctrl, graph, nparts); - where = graph->where; - rinfo = graph->rinfo; - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - - /* Go through and project partition and compute id/ed for the nodes */ - for (i=0; i<nvtxs; i++) { - k = cmap[i]; - where[i] = cwhere[k]; - cmap[i] = crinfo[k].ed; /* For optimization */ - } - - htable = idxset(nparts, -1, idxwspacemalloc(ctrl, nparts)); - - ctrl->wspace.cdegree = 0; - for (nbnd=0, i=0; i<nvtxs; i++) { - me = where[i]; - - myrinfo = rinfo+i; - myrinfo->id = myrinfo->ed = myrinfo->ndegrees = 0; - myrinfo->edegrees = NULL; - - myrinfo->id = adjwgtsum[i]; - - if (cmap[i] > 0) { /* If it is an interface node. Note cmap[i] = crinfo[cmap[i]].ed */ - istart = xadj[i]; - iend = xadj[i+1]; - - myedegrees = myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += iend-istart; - - ndegrees = 0; - for (j=istart; j<iend; j++) { - other = where[adjncy[j]]; - if (me != other) { - myrinfo->ed += adjwgt[j]; - if ((k = htable[other]) == -1) { - htable[other] = ndegrees; - myedegrees[ndegrees].pid = other; - myedegrees[ndegrees++].ed = adjwgt[j]; - } - else { - myedegrees[k].ed += adjwgt[j]; - } - } - } - myrinfo->id -= myrinfo->ed; - - /* Remove space for edegrees if it was interior */ - if (myrinfo->ed == 0) { - myrinfo->edegrees = NULL; - ctrl->wspace.cdegree -= iend-istart; - } - else { - if (myrinfo->ed-myrinfo->id >= 0) - BNDInsert(nbnd, bndind, bndptr, i); - - myrinfo->ndegrees = ndegrees; - - for (j=0; j<ndegrees; j++) - htable[myedegrees[j].pid] = -1; - } - } - } - - idxcopy(nparts, cgraph->pwgts, graph->pwgts); - graph->mincut = cgraph->mincut; - graph->nbnd = nbnd; - - FreeGraph(graph->coarser); - graph->coarser = NULL; - - idxwspacefree(ctrl, nparts); - - ASSERT(CheckBnd2(graph)); - -} - - - -/************************************************************************* -* This function checks if the partition weights are within the balance -* contraints -**************************************************************************/ -int IsBalanced(idxtype *pwgts, int nparts, float *tpwgts, float ubfactor) -{ - int i, j, tvwgt; - - tvwgt = idxsum(nparts, pwgts); - for (i=0; i<nparts; i++) { - if (pwgts[i] > tpwgts[i]*tvwgt*(ubfactor+0.005)) - return 0; - } - - return 1; -} - - -/************************************************************************* -* This function computes the boundary definition for balancing -**************************************************************************/ -void ComputeKWayBoundary(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, nvtxs, nbnd; - idxtype *bndind, *bndptr; - - nvtxs = graph->nvtxs; - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - - - /*------------------------------------------------------------ - / Compute the new boundary - /------------------------------------------------------------*/ - nbnd = 0; - for (i=0; i<nvtxs; i++) { - if (graph->rinfo[i].ed-graph->rinfo[i].id >= 0) - BNDInsert(nbnd, bndind, bndptr, i); - } - - graph->nbnd = nbnd; -} - -/************************************************************************* -* This function computes the boundary definition for balancing -**************************************************************************/ -void ComputeKWayBalanceBoundary(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, nvtxs, nbnd; - idxtype *bndind, *bndptr; - - nvtxs = graph->nvtxs; - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - - - /*------------------------------------------------------------ - / Compute the new boundary - /------------------------------------------------------------*/ - nbnd = 0; - for (i=0; i<nvtxs; i++) { - if (graph->rinfo[i].ed > 0) - BNDInsert(nbnd, bndind, bndptr, i); - } - - graph->nbnd = nbnd; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayvolfm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayvolfm.c deleted file mode 100644 index 4e1112d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayvolfm.c +++ /dev/null @@ -1,1778 +0,0 @@ -/* - * kwayvolfm.c - * - * This file contains code that implements the multilevel k-way refinement - * - * Started 7/8/98 - * George - * - * $Id: kwayvolfm.c,v 1.2 2003/07/31 06:14:01 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Random_KWayVolRefine(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, - float ubfactor, int npasses, int ffactor) -{ - int i, ii, iii, j, jj, k, kk, l, u, pass, nvtxs, nmoves, tvwgt, myndegrees, xgain; - int from, me, to, oldcut, oldvol, vwgt; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *itpwgts, *updind, *marker, *phtable; - VEDegreeType *myedegrees; - VRInfoType *myrinfo; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndptr = graph->bndptr; - bndind = graph->bndind; - - where = graph->where; - pwgts = graph->pwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - updind = idxmalloc(nvtxs, "Random_KWayVolRefine: updind"); - marker = idxsmalloc(nvtxs, 0, "Random_KWayVolRefine: marker"); - phtable = idxsmalloc(nparts, -1, "Random_KWayVolRefine: phtable"); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("VolPart: [%5d %5d]-[%5d %5d], Balance: %3.2f, Nv-Nb[%5d %5d]. Cut: %5d, Vol: %5d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut, graph->minvol)); - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - oldcut = graph->mincut; - oldvol = graph->minvol; - - RandomPermute(graph->nbnd, perm, 1); - for (nmoves=iii=0; iii<graph->nbnd; iii++) { - ii = perm[iii]; - if (ii >= graph->nbnd) - continue; - i = bndind[ii]; - myrinfo = graph->vrinfo+i; - - if (myrinfo->gv >= 0) { /* Total volume gain is too high */ - from = where[i]; - vwgt = graph->vwgt[i]; - - if (myrinfo->id > 0 && pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - xgain = (myrinfo->id == 0 && myrinfo->ed > 0 ? graph->vsize[i] : 0); - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - if (pwgts[to]+vwgt <= maxwgt[to]+ffactor*myedegrees[k].gv && xgain+myedegrees[k].gv >= 0) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if (pwgts[to]+vwgt > maxwgt[to]) - continue; - if (myedegrees[j].gv > myedegrees[k].gv || - (myedegrees[j].gv == myedegrees[k].gv && myedegrees[j].ed > myedegrees[k].ed) || - (myedegrees[j].gv == myedegrees[k].gv && myedegrees[j].ed == myedegrees[k].ed && - itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid])) - k = j; - } - - to = myedegrees[k].pid; - - j = 0; - if (xgain+myedegrees[k].gv > 0 || myedegrees[k].ed-myrinfo->id > 0) - j = 1; - else if (myedegrees[k].ed-myrinfo->id == 0) { - if ((iii&5) == 0 || pwgts[from] >= maxwgt[from] || itpwgts[from]*(pwgts[to]+vwgt) < itpwgts[to]*pwgts[from]) - j = 1; - } - if (j == 0) - continue; - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - INC_DEC(pwgts[to], pwgts[from], vwgt); - graph->mincut -= myedegrees[k].ed-myrinfo->id; - graph->minvol -= (xgain+myedegrees[k].gv); - where[i] = to; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d from %3d to %3d. Gain: [%4d %4d]. Cut: %6d, Vol: %6d\n", - i, from, to, xgain+myedegrees[k].gv, myedegrees[k].ed-myrinfo->id, graph->mincut, graph->minvol)); - - KWayVolUpdate(ctrl, graph, i, from, to, marker, phtable, updind); - - nmoves++; - - /* CheckVolKWayPartitionParams(ctrl, graph, nparts); */ - } - } - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d, Vol: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut, - graph->minvol)); - - if (graph->minvol == oldvol && graph->mincut == oldcut) - break; - } - - GKfree(&marker, &updind, &phtable, LTERM); - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); -} - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Random_KWayVolRefineMConn(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, - float ubfactor, int npasses, int ffactor) -{ - int i, ii, iii, j, jj, k, kk, l, u, pass, nvtxs, nmoves, tvwgt, myndegrees, xgain; - int from, me, to, oldcut, oldvol, vwgt, nadd, maxndoms; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *itpwgts, *updind, *marker, *phtable; - idxtype *pmat, *pmatptr, *ndoms; - VEDegreeType *myedegrees; - VRInfoType *myrinfo; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndptr = graph->bndptr; - bndind = graph->bndind; - - where = graph->where; - pwgts = graph->pwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - updind = idxmalloc(nvtxs, "Random_KWayVolRefine: updind"); - marker = idxsmalloc(nvtxs, 0, "Random_KWayVolRefine: marker"); - phtable = idxsmalloc(nparts, -1, "Random_KWayVolRefine: phtable"); - - pmat = ctrl->wspace.pmat; - ndoms = idxwspacemalloc(ctrl, nparts); - - ComputeVolSubDomainGraph(graph, nparts, pmat, ndoms); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("VolPart: [%5d %5d]-[%5d %5d], Balance: %3.2f, Nv-Nb[%5d %5d]. Cut: %5d, Vol: %5d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut, graph->minvol)); - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - maxndoms = ndoms[idxamax(nparts, ndoms)]; - - oldcut = graph->mincut; - oldvol = graph->minvol; - - RandomPermute(graph->nbnd, perm, 1); - for (nmoves=iii=0; iii<graph->nbnd; iii++) { - ii = perm[iii]; - if (ii >= graph->nbnd) - continue; - i = bndind[ii]; - myrinfo = graph->vrinfo+i; - - if (myrinfo->gv >= 0) { /* Total volume gain is too high */ - from = where[i]; - vwgt = graph->vwgt[i]; - - if (myrinfo->id > 0 && pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - xgain = (myrinfo->id == 0 && myrinfo->ed > 0 ? graph->vsize[i] : 0); - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - /* Determine the valid domains */ - for (j=0; j<myndegrees; j++) { - to = myedegrees[j].pid; - phtable[to] = 1; - pmatptr = pmat + to*nparts; - for (nadd=0, k=0; k<myndegrees; k++) { - if (k == j) - continue; - - l = myedegrees[k].pid; - if (pmatptr[l] == 0) { - if (ndoms[l] > maxndoms-1) { - phtable[to] = 0; - nadd = maxndoms; - break; - } - nadd++; - } - } - if (ndoms[to]+nadd > maxndoms) - phtable[to] = 0; - if (nadd == 0) - phtable[to] = 2; - } - - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - if (!phtable[to]) - continue; - if (pwgts[to]+vwgt <= maxwgt[to]+ffactor*myedegrees[k].gv && xgain+myedegrees[k].gv >= 0) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if (!phtable[to] || pwgts[to]+vwgt > maxwgt[to]) - continue; - if (myedegrees[j].gv > myedegrees[k].gv || - (myedegrees[j].gv == myedegrees[k].gv && myedegrees[j].ed > myedegrees[k].ed) || - (myedegrees[j].gv == myedegrees[k].gv && myedegrees[j].ed == myedegrees[k].ed && - itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid])) - k = j; - } - - to = myedegrees[k].pid; - - j = 0; - if (xgain+myedegrees[k].gv > 0 || myedegrees[k].ed-myrinfo->id > 0) - j = 1; - else if (myedegrees[k].ed-myrinfo->id == 0) { - if ((iii&5) == 0 || phtable[myedegrees[k].pid] == 2 || pwgts[from] >= maxwgt[from] || itpwgts[from]*(pwgts[to]+vwgt) < itpwgts[to]*pwgts[from]) - j = 1; - } - - if (j == 0) - continue; - - for (j=0; j<myndegrees; j++) - phtable[myedegrees[j].pid] = -1; - - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - INC_DEC(pwgts[to], pwgts[from], vwgt); - graph->mincut -= myedegrees[k].ed-myrinfo->id; - graph->minvol -= (xgain+myedegrees[k].gv); - where[i] = to; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d from %3d to %3d. Gain: [%4d %4d]. Cut: %6d, Vol: %6d\n", - i, from, to, xgain+myedegrees[k].gv, myedegrees[k].ed-myrinfo->id, graph->mincut, graph->minvol)); - - /* Update pmat to reflect the move of 'i' */ - pmat[from*nparts+to] += (myrinfo->id-myedegrees[k].ed); - pmat[to*nparts+from] += (myrinfo->id-myedegrees[k].ed); - if (pmat[from*nparts+to] == 0) { - ndoms[from]--; - if (ndoms[from]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - if (pmat[to*nparts+from] == 0) { - ndoms[to]--; - if (ndoms[to]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - /* Update pmat to reflect the move of 'i' for domains other than 'from' and 'to' */ - if (me != from && me != to) { - pmat[me*nparts+from] -= adjwgt[j]; - pmat[from*nparts+me] -= adjwgt[j]; - if (pmat[me*nparts+from] == 0) { - ndoms[me]--; - if (ndoms[me]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - if (pmat[from*nparts+me] == 0) { - ndoms[from]--; - if (ndoms[from]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - - if (pmat[me*nparts+to] == 0) { - ndoms[me]++; - if (ndoms[me] > maxndoms) { - IFSET(ctrl->dbglvl, DBG_REFINE, printf("You just increased the maxndoms: %d %d\n", ndoms[me], maxndoms)); - maxndoms = ndoms[me]; - } - } - if (pmat[to*nparts+me] == 0) { - ndoms[to]++; - if (ndoms[to] > maxndoms) { - IFSET(ctrl->dbglvl, DBG_REFINE, printf("You just increased the maxndoms: %d %d\n", ndoms[to], maxndoms)); - maxndoms = ndoms[to]; - } - } - pmat[me*nparts+to] += adjwgt[j]; - pmat[to*nparts+me] += adjwgt[j]; - } - } - - KWayVolUpdate(ctrl, graph, i, from, to, marker, phtable, updind); - - nmoves++; - - /* CheckVolKWayPartitionParams(ctrl, graph, nparts); */ - } - } - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d, Vol: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut, - graph->minvol)); - - if (graph->minvol == oldvol && graph->mincut == oldcut) - break; - } - - GKfree(&marker, &updind, &phtable, LTERM); - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); -} - - - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Greedy_KWayVolBalance(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, - float ubfactor, int npasses) -{ - int i, ii, iii, j, jj, k, kk, l, u, pass, nvtxs, nmoves, tvwgt, myndegrees, xgain; - int from, me, to, vwgt, gain; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *moved, *bndptr, *bndind, *minwgt, *maxwgt, *itpwgts, *updind, *marker, *phtable; - VEDegreeType *myedegrees; - VRInfoType *myrinfo; - PQueueType queue; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndptr = graph->bndptr; - bndind = graph->bndind; - - where = graph->where; - pwgts = graph->pwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - updind = idxmalloc(nvtxs, "Random_KWayVolRefine: updind"); - marker = idxsmalloc(nvtxs, 0, "Random_KWayVolRefine: marker"); - phtable = idxsmalloc(nparts, -1, "Random_KWayVolRefine: phtable"); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - moved = idxwspacemalloc(ctrl, nvtxs); - - PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("VolPart: [%5d %5d]-[%5d %5d], Balance: %3.2f, Nv-Nb[%5d %5d]. Cut: %5d, Vol: %5d [B]\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut, graph->minvol)); - - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - /* Check to see if things are out of balance, given the tolerance */ - for (i=0; i<nparts; i++) { - if (pwgts[i] > maxwgt[i]) - break; - } - if (i == nparts) /* Things are balanced. Return right away */ - break; - - PQueueReset(&queue); - idxset(nvtxs, -1, moved); - - RandomPermute(graph->nbnd, perm, 1); - for (ii=0; ii<graph->nbnd; ii++) { - i = bndind[perm[ii]]; - PQueueInsert(&queue, i, graph->vrinfo[i].gv); - moved[i] = 2; - } - - for (nmoves=0;;) { - if ((i = PQueueGetMax(&queue)) == -1) - break; - moved[i] = 1; - - myrinfo = graph->vrinfo+i; - from = where[i]; - vwgt = graph->vwgt[i]; - - if (pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - xgain = (myrinfo->id == 0 && myrinfo->ed > 0 ? graph->vsize[i] : 0); - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - if (pwgts[to]+vwgt <= maxwgt[to] || - itpwgts[from]*(pwgts[to]+vwgt) <= itpwgts[to]*pwgts[from]) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if (itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid]) - k = j; - } - - to = myedegrees[k].pid; - - if (pwgts[from] < maxwgt[from] && pwgts[to] > minwgt[to] && - (xgain+myedegrees[k].gv < 0 || - (xgain+myedegrees[k].gv == 0 && myedegrees[k].ed-myrinfo->id < 0)) - ) - continue; - - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - INC_DEC(pwgts[to], pwgts[from], vwgt); - graph->mincut -= myedegrees[k].ed-myrinfo->id; - graph->minvol -= (xgain+myedegrees[k].gv); - where[i] = to; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d from %3d to %3d. Gain: [%4d %4d]. Cut: %6d, Vol: %6d\n", - i, from, to, xgain+myedegrees[k].gv, myedegrees[k].ed-myrinfo->id, graph->mincut, graph->minvol)); - - KWayVolUpdate(ctrl, graph, i, from, to, marker, phtable, updind); - - nmoves++; - - /*CheckVolKWayPartitionParams(ctrl, graph, nparts); */ - } - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d, Vol: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut, - graph->minvol)); - - } - - GKfree(&marker, &updind, &phtable, LTERM); - - PQueueFree(ctrl, &queue); - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Greedy_KWayVolBalanceMConn(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, - float ubfactor, int npasses) -{ - int i, ii, iii, j, jj, k, kk, l, u, pass, nvtxs, nmoves, tvwgt, myndegrees, xgain; - int from, me, to, vwgt, gain, maxndoms, nadd; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *moved, *bndptr, *bndind, *minwgt, *maxwgt, *itpwgts, *updind, *marker, *phtable; - idxtype *pmat, *pmatptr, *ndoms; - VEDegreeType *myedegrees; - VRInfoType *myrinfo; - PQueueType queue; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndptr = graph->bndptr; - bndind = graph->bndind; - - where = graph->where; - pwgts = graph->pwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - updind = idxmalloc(nvtxs, "Random_KWayVolRefine: updind"); - marker = idxsmalloc(nvtxs, 0, "Random_KWayVolRefine: marker"); - phtable = idxsmalloc(nparts, -1, "Random_KWayVolRefine: phtable"); - - pmat = ctrl->wspace.pmat; - ndoms = idxwspacemalloc(ctrl, nparts); - - ComputeVolSubDomainGraph(graph, nparts, pmat, ndoms); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - moved = idxwspacemalloc(ctrl, nvtxs); - - PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("VolPart: [%5d %5d]-[%5d %5d], Balance: %3.2f, Nv-Nb[%5d %5d]. Cut: %5d, Vol: %5d [B]\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut, graph->minvol)); - - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - /* Check to see if things are out of balance, given the tolerance */ - for (i=0; i<nparts; i++) { - if (pwgts[i] > maxwgt[i]) - break; - } - if (i == nparts) /* Things are balanced. Return right away */ - break; - - PQueueReset(&queue); - idxset(nvtxs, -1, moved); - - RandomPermute(graph->nbnd, perm, 1); - for (ii=0; ii<graph->nbnd; ii++) { - i = bndind[perm[ii]]; - PQueueInsert(&queue, i, graph->vrinfo[i].gv); - moved[i] = 2; - } - - maxndoms = ndoms[idxamax(nparts, ndoms)]; - - for (nmoves=0;;) { - if ((i = PQueueGetMax(&queue)) == -1) - break; - moved[i] = 1; - - myrinfo = graph->vrinfo+i; - from = where[i]; - vwgt = graph->vwgt[i]; - - if (pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - xgain = (myrinfo->id == 0 && myrinfo->ed > 0 ? graph->vsize[i] : 0); - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - /* Determine the valid domains */ - for (j=0; j<myndegrees; j++) { - to = myedegrees[j].pid; - phtable[to] = 1; - pmatptr = pmat + to*nparts; - for (nadd=0, k=0; k<myndegrees; k++) { - if (k == j) - continue; - - l = myedegrees[k].pid; - if (pmatptr[l] == 0) { - if (ndoms[l] > maxndoms-1) { - phtable[to] = 0; - nadd = maxndoms; - break; - } - nadd++; - } - } - if (ndoms[to]+nadd > maxndoms) - phtable[to] = 0; - } - - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - if (!phtable[to]) - continue; - if (pwgts[to]+vwgt <= maxwgt[to] || - itpwgts[from]*(pwgts[to]+vwgt) <= itpwgts[to]*pwgts[from]) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if (!phtable[to]) - continue; - if (itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid]) - k = j; - } - - to = myedegrees[k].pid; - - for (j=0; j<myndegrees; j++) - phtable[myedegrees[j].pid] = -1; - - if (pwgts[from] < maxwgt[from] && pwgts[to] > minwgt[to] && - (xgain+myedegrees[k].gv < 0 || - (xgain+myedegrees[k].gv == 0 && myedegrees[k].ed-myrinfo->id < 0)) - ) - continue; - - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - INC_DEC(pwgts[to], pwgts[from], vwgt); - graph->mincut -= myedegrees[k].ed-myrinfo->id; - graph->minvol -= (xgain+myedegrees[k].gv); - where[i] = to; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d from %3d to %3d. Gain: [%4d %4d]. Cut: %6d, Vol: %6d\n", - i, from, to, xgain+myedegrees[k].gv, myedegrees[k].ed-myrinfo->id, graph->mincut, graph->minvol)); - - /* Update pmat to reflect the move of 'i' */ - pmat[from*nparts+to] += (myrinfo->id-myedegrees[k].ed); - pmat[to*nparts+from] += (myrinfo->id-myedegrees[k].ed); - if (pmat[from*nparts+to] == 0) { - ndoms[from]--; - if (ndoms[from]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - if (pmat[to*nparts+from] == 0) { - ndoms[to]--; - if (ndoms[to]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - /* Update pmat to reflect the move of 'i' for domains other than 'from' and 'to' */ - if (me != from && me != to) { - pmat[me*nparts+from] -= adjwgt[j]; - pmat[from*nparts+me] -= adjwgt[j]; - if (pmat[me*nparts+from] == 0) { - ndoms[me]--; - if (ndoms[me]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - if (pmat[from*nparts+me] == 0) { - ndoms[from]--; - if (ndoms[from]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - - if (pmat[me*nparts+to] == 0) { - ndoms[me]++; - if (ndoms[me] > maxndoms) { - IFSET(ctrl->dbglvl, DBG_REFINE, printf("You just increased the maxndoms: %d %d\n", ndoms[me], maxndoms)); - maxndoms = ndoms[me]; - } - } - if (pmat[to*nparts+me] == 0) { - ndoms[to]++; - if (ndoms[to] > maxndoms) { - IFSET(ctrl->dbglvl, DBG_REFINE, printf("You just increased the maxndoms: %d %d\n", ndoms[to], maxndoms)); - maxndoms = ndoms[to]; - } - } - pmat[me*nparts+to] += adjwgt[j]; - pmat[to*nparts+me] += adjwgt[j]; - } - } - - KWayVolUpdate(ctrl, graph, i, from, to, marker, phtable, updind); - - nmoves++; - - /*CheckVolKWayPartitionParams(ctrl, graph, nparts); */ - } - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d, Vol: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut, - graph->minvol)); - - } - - GKfree(&marker, &updind, &phtable, LTERM); - - PQueueFree(ctrl, &queue); - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - - -/************************************************************************* -* This function updates the edge and volume gains as a result of moving -* v from 'from' to 'to'. -* The working arrays marker and phtable are assumed to be initialized to -* -1, and they left to -1 upon return -**************************************************************************/ -void KWayVolUpdate(CtrlType *ctrl, GraphType *graph, int v, int from, int to, - idxtype *marker, idxtype *phtable, idxtype *updind) -{ - int ii, iii, j, jj, k, kk, l, u, nupd, other, me, myidx; - idxtype *xadj, *vsize, *adjncy, *adjwgt, *where; - VEDegreeType *myedegrees, *oedegrees; - VRInfoType *myrinfo, *orinfo; - - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - vsize = graph->vsize; - where = graph->where; - - myrinfo = graph->vrinfo+v; - myedegrees = myrinfo->edegrees; - - - /*====================================================================== - * Remove the contributions on the gain made by 'v'. - *=====================================================================*/ - for (k=0; k<myrinfo->ndegrees; k++) - phtable[myedegrees[k].pid] = k; - phtable[from] = k; - - myidx = phtable[to]; /* Keep track of the index in myedegrees of the 'to' domain */ - - for (j=xadj[v]; j<xadj[v+1]; j++) { - ii = adjncy[j]; - other = where[ii]; - orinfo = graph->vrinfo+ii; - oedegrees = orinfo->edegrees; - - if (other == from) { - for (k=0; k<orinfo->ndegrees; k++) { - if (phtable[oedegrees[k].pid] == -1) - oedegrees[k].gv += vsize[v]; - } - } - else { - ASSERT(phtable[other] != -1); - - if (myedegrees[phtable[other]].ned > 1) { - for (k=0; k<orinfo->ndegrees; k++) { - if (phtable[oedegrees[k].pid] == -1) - oedegrees[k].gv += vsize[v]; - } - } - else { /* There is only one connection */ - for (k=0; k<orinfo->ndegrees; k++) { - if (phtable[oedegrees[k].pid] != -1) - oedegrees[k].gv -= vsize[v]; - } - } - } - } - - for (k=0; k<myrinfo->ndegrees; k++) - phtable[myedegrees[k].pid] = -1; - phtable[from] = -1; - - - /*====================================================================== - * Update the id/ed of vertex 'v' - *=====================================================================*/ - myrinfo->ed += myrinfo->id-myedegrees[myidx].ed; - SWAP(myrinfo->id, myedegrees[myidx].ed, j); - SWAP(myrinfo->nid, myedegrees[myidx].ned, j); - if (myedegrees[myidx].ed == 0) - myedegrees[myidx] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[myidx].pid = from; - - /*====================================================================== - * Update the degrees of adjacent vertices and their volume gains - *=====================================================================*/ - marker[v] = 1; - updind[0] = v; - nupd = 1; - for (j=xadj[v]; j<xadj[v+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - if (!marker[ii]) { /* The marking is done for boundary and max gv calculations */ - marker[ii] = 2; - updind[nupd++] = ii; - } - - myrinfo = graph->vrinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.vedegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - myrinfo->nid--; - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - myrinfo->nid++; - } - - /* Remove the edgeweight from the 'pid == from' entry of the vertex */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ned == 1) { - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - marker[ii] = 1; /* You do a complete .gv calculation */ - - /* All vertices adjacent to 'ii' need to be updated */ - for (jj=xadj[ii]; jj<xadj[ii+1]; jj++) { - u = adjncy[jj]; - other = where[u]; - orinfo = graph->vrinfo+u; - oedegrees = orinfo->edegrees; - - for (kk=0; kk<orinfo->ndegrees; kk++) { - if (oedegrees[kk].pid == from) { - oedegrees[kk].gv -= vsize[ii]; - break; - } - } - } - } - else { - myedegrees[k].ed -= adjwgt[j]; - myedegrees[k].ned--; - - /* Update the gv due to single 'ii' connection to 'from' */ - if (myedegrees[k].ned == 1) { - /* find the vertex 'u' that 'ii' was connected into 'from' */ - for (jj=xadj[ii]; jj<xadj[ii+1]; jj++) { - u = adjncy[jj]; - other = where[u]; - orinfo = graph->vrinfo+u; - oedegrees = orinfo->edegrees; - - if (other == from) { - for (kk=0; kk<orinfo->ndegrees; kk++) - oedegrees[kk].gv += vsize[ii]; - break; - } - } - } - } - - break; - } - } - } - - /* Add the edgeweight to the 'pid == to' entry of the vertex */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - myedegrees[k].ned++; - - /* Update the gv due to non-single 'ii' connection to 'to' */ - if (myedegrees[k].ned == 2) { - /* find the vertex 'u' that 'ii' was connected into 'to' */ - for (jj=xadj[ii]; jj<xadj[ii+1]; jj++) { - u = adjncy[jj]; - other = where[u]; - orinfo = graph->vrinfo+u; - oedegrees = orinfo->edegrees; - - if (u != v && other == to) { - for (kk=0; kk<orinfo->ndegrees; kk++) - oedegrees[kk].gv -= vsize[ii]; - break; - } - } - } - break; - } - } - - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees].ed = adjwgt[j]; - myedegrees[myrinfo->ndegrees++].ned = 1; - marker[ii] = 1; /* You do a complete .gv calculation */ - - /* All vertices adjacent to 'ii' need to be updated */ - for (jj=xadj[ii]; jj<xadj[ii+1]; jj++) { - u = adjncy[jj]; - other = where[u]; - orinfo = graph->vrinfo+u; - oedegrees = orinfo->edegrees; - - for (kk=0; kk<orinfo->ndegrees; kk++) { - if (oedegrees[kk].pid == to) { - oedegrees[kk].gv += vsize[ii]; - if (!marker[u]) { /* Need to update boundary etc */ - marker[u] = 2; - updind[nupd++] = u; - } - break; - } - } - } - } - } - - ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); - } - - /*====================================================================== - * Add the contributions on the volume gain due to 'v' - *=====================================================================*/ - myrinfo = graph->vrinfo+v; - myedegrees = myrinfo->edegrees; - for (k=0; k<myrinfo->ndegrees; k++) - phtable[myedegrees[k].pid] = k; - phtable[to] = k; - - for (j=xadj[v]; j<xadj[v+1]; j++) { - ii = adjncy[j]; - other = where[ii]; - orinfo = graph->vrinfo+ii; - oedegrees = orinfo->edegrees; - - if (other == to) { - for (k=0; k<orinfo->ndegrees; k++) { - if (phtable[oedegrees[k].pid] == -1) - oedegrees[k].gv -= vsize[v]; - } - } - else { - ASSERT(phtable[other] != -1); - - if (myedegrees[phtable[other]].ned > 1) { - for (k=0; k<orinfo->ndegrees; k++) { - if (phtable[oedegrees[k].pid] == -1) - oedegrees[k].gv -= vsize[v]; - } - } - else { /* There is only one connection */ - for (k=0; k<orinfo->ndegrees; k++) { - if (phtable[oedegrees[k].pid] != -1) - oedegrees[k].gv += vsize[v]; - } - } - } - } - for (k=0; k<myrinfo->ndegrees; k++) - phtable[myedegrees[k].pid] = -1; - phtable[to] = -1; - - - /*====================================================================== - * Recompute the volume information of the 'hard' nodes, and update the - * max volume gain for all the update vertices - *=====================================================================*/ - ComputeKWayVolume(graph, nupd, updind, marker, phtable); - - - /*====================================================================== - * Maintain a consistent boundary - *=====================================================================*/ - for (j=0; j<nupd; j++) { - k = updind[j]; - marker[k] = 0; - myrinfo = graph->vrinfo+k; - - if ((myrinfo->gv >= 0 || myrinfo->ed-myrinfo->id >= 0) && graph->bndptr[k] == -1) - BNDInsert(graph->nbnd, graph->bndind, graph->bndptr, k); - - if (myrinfo->gv < 0 && myrinfo->ed-myrinfo->id < 0 && graph->bndptr[k] != -1) - BNDDelete(graph->nbnd, graph->bndind, graph->bndptr, k); - } - -} - - - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void ComputeKWayVolume(GraphType *graph, int nupd, idxtype *updind, idxtype *marker, idxtype *phtable) -{ - int ii, iii, i, j, k, kk, l, nvtxs, me, other, pid; - idxtype *xadj, *vsize, *adjncy, *adjwgt, *where; - VRInfoType *rinfo, *myrinfo, *orinfo; - VEDegreeType *myedegrees, *oedegrees; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vsize = graph->vsize; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - rinfo = graph->vrinfo; - - - /*------------------------------------------------------------ - / Compute now the iv/ev degrees - /------------------------------------------------------------*/ - for (iii=0; iii<nupd; iii++) { - i = updind[iii]; - me = where[i]; - - myrinfo = rinfo+i; - myedegrees = myrinfo->edegrees; - - if (marker[i] == 1) { /* Only complete gain updates go through */ - for (k=0; k<myrinfo->ndegrees; k++) - myedegrees[k].gv = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - other = where[ii]; - orinfo = rinfo+ii; - oedegrees = orinfo->edegrees; - - for (kk=0; kk<orinfo->ndegrees; kk++) - phtable[oedegrees[kk].pid] = kk; - phtable[other] = 1; - - if (me == other) { - /* Find which domains 'i' is connected and 'ii' is not and update their gain */ - for (k=0; k<myrinfo->ndegrees; k++) { - if (phtable[myedegrees[k].pid] == -1) - myedegrees[k].gv -= vsize[ii]; - } - } - else { - ASSERT(phtable[me] != -1); - - /* I'm the only connection of 'ii' in 'me' */ - if (oedegrees[phtable[me]].ned == 1) { - /* Increase the gains for all the common domains between 'i' and 'ii' */ - for (k=0; k<myrinfo->ndegrees; k++) { - if (phtable[myedegrees[k].pid] != -1) - myedegrees[k].gv += vsize[ii]; - } - } - else { - /* Find which domains 'i' is connected and 'ii' is not and update their gain */ - for (k=0; k<myrinfo->ndegrees; k++) { - if (phtable[myedegrees[k].pid] == -1) - myedegrees[k].gv -= vsize[ii]; - } - } - } - - for (kk=0; kk<orinfo->ndegrees; kk++) - phtable[oedegrees[kk].pid] = -1; - phtable[other] = -1; - - } - } - - myrinfo->gv = -MAXIDX; - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].gv > myrinfo->gv) - myrinfo->gv = myedegrees[k].gv; - } - if (myrinfo->ed > 0 && myrinfo->id == 0) - myrinfo->gv += vsize[i]; - - } - -} - - - -/************************************************************************* -* This function computes the total volume -**************************************************************************/ -int ComputeVolume(GraphType *graph, idxtype *where) -{ - int i, j, k, me, nvtxs, nparts, totalv; - idxtype *xadj, *adjncy, *vsize, *marker; - - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vsize = (graph->vsize == NULL ? graph->vwgt : graph->vsize); - - nparts = where[idxamax(nvtxs, where)]+1; - marker = idxsmalloc(nparts, -1, "ComputeVolume: marker"); - - totalv = 0; - - for (i=0; i<nvtxs; i++) { - marker[where[i]] = i; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = where[adjncy[j]]; - if (marker[k] != i) { - marker[k] = i; - totalv += vsize[i]; - } - } - } - - free(marker); - - return totalv; -} - - - - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void CheckVolKWayPartitionParams(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, ii, j, k, kk, l, nvtxs, nbnd, mincut, minvol, me, other, pid; - idxtype *xadj, *vsize, *adjncy, *adjwgt, *pwgts, *where, *bndind, *bndptr; - VRInfoType *rinfo, *myrinfo, *orinfo, tmprinfo; - VEDegreeType *myedegrees, *oedegrees, *tmpdegrees; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vsize = graph->vsize; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - rinfo = graph->vrinfo; - - tmpdegrees = (VEDegreeType *)GKmalloc(nparts*sizeof(VEDegreeType), "CheckVolKWayPartitionParams: tmpdegrees"); - - /*------------------------------------------------------------ - / Compute now the iv/ev degrees - /------------------------------------------------------------*/ - for (i=0; i<nvtxs; i++) { - me = where[i]; - - myrinfo = rinfo+i; - myedegrees = myrinfo->edegrees; - - for (k=0; k<myrinfo->ndegrees; k++) - tmpdegrees[k] = myedegrees[k]; - - tmprinfo.ndegrees = myrinfo->ndegrees; - tmprinfo.id = myrinfo->id; - tmprinfo.ed = myrinfo->ed; - - myrinfo = &tmprinfo; - myedegrees = tmpdegrees; - - - for (k=0; k<myrinfo->ndegrees; k++) - myedegrees[k].gv = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - other = where[ii]; - orinfo = rinfo+ii; - oedegrees = orinfo->edegrees; - - if (me == other) { - /* Find which domains 'i' is connected and 'ii' is not and update their gain */ - for (k=0; k<myrinfo->ndegrees; k++) { - pid = myedegrees[k].pid; - for (kk=0; kk<orinfo->ndegrees; kk++) { - if (oedegrees[kk].pid == pid) - break; - } - if (kk == orinfo->ndegrees) - myedegrees[k].gv -= vsize[ii]; - } - } - else { - /* Find the orinfo[me].ed and see if I'm the only connection */ - for (k=0; k<orinfo->ndegrees; k++) { - if (oedegrees[k].pid == me) - break; - } - - if (oedegrees[k].ned == 1) { /* I'm the only connection of 'ii' in 'me' */ - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == other) { - myedegrees[k].gv += vsize[ii]; - break; - } - } - - /* Increase the gains for all the common domains between 'i' and 'ii' */ - for (k=0; k<myrinfo->ndegrees; k++) { - if ((pid = myedegrees[k].pid) == other) - continue; - for (kk=0; kk<orinfo->ndegrees; kk++) { - if (oedegrees[kk].pid == pid) { - myedegrees[k].gv += vsize[ii]; - break; - } - } - } - - } - else { - /* Find which domains 'i' is connected and 'ii' is not and update their gain */ - for (k=0; k<myrinfo->ndegrees; k++) { - if ((pid = myedegrees[k].pid) == other) - continue; - for (kk=0; kk<orinfo->ndegrees; kk++) { - if (oedegrees[kk].pid == pid) - break; - } - if (kk == orinfo->ndegrees) - myedegrees[k].gv -= vsize[ii]; - } - } - } - } - - myrinfo = rinfo+i; - myedegrees = myrinfo->edegrees; - - for (k=0; k<myrinfo->ndegrees; k++) { - pid = myedegrees[k].pid; - for (kk=0; kk<tmprinfo.ndegrees; kk++) { - if (tmpdegrees[kk].pid == pid) { - if (tmpdegrees[kk].gv != myedegrees[k].gv) - printf("[%d %d %d %d]\n", i, pid, myedegrees[k].gv, tmpdegrees[kk].gv); - break; - } - } - } - - } - - free(tmpdegrees); - -} - - -/************************************************************************* -* This function computes the subdomain graph -**************************************************************************/ -void ComputeVolSubDomainGraph(GraphType *graph, int nparts, idxtype *pmat, idxtype *ndoms) -{ - int i, j, k, me, nvtxs, ndegrees; - idxtype *xadj, *adjncy, *adjwgt, *where; - VRInfoType *rinfo; - VEDegreeType *edegrees; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - rinfo = graph->vrinfo; - - idxset(nparts*nparts, 0, pmat); - - for (i=0; i<nvtxs; i++) { - if (rinfo[i].ed > 0) { - me = where[i]; - ndegrees = rinfo[i].ndegrees; - edegrees = rinfo[i].edegrees; - - k = me*nparts; - for (j=0; j<ndegrees; j++) - pmat[k+edegrees[j].pid] += edegrees[j].ed; - } - } - - for (i=0; i<nparts; i++) { - ndoms[i] = 0; - for (j=0; j<nparts; j++) { - if (pmat[i*nparts+j] > 0) - ndoms[i]++; - } - } -} - - - -/************************************************************************* -* This function computes the subdomain graph -**************************************************************************/ -void EliminateVolSubDomainEdges(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts) -{ - int i, ii, j, k, me, other, nvtxs, total, max, avg, totalout, nind, ncand, ncand2, target, target2, nadd; - int min, move, cpwgt, tvwgt; - idxtype *xadj, *adjncy, *vwgt, *adjwgt, *pwgts, *where, *maxpwgt, *pmat, *ndoms, *mypmat, *otherpmat, *ind; - KeyValueType *cand, *cand2; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - adjwgt = graph->adjwgt; - - where = graph->where; - pwgts = idxset(nparts, 0, graph->pwgts); - - maxpwgt = idxwspacemalloc(ctrl, nparts); - ndoms = idxwspacemalloc(ctrl, nparts); - otherpmat = idxwspacemalloc(ctrl, nparts); - ind = idxwspacemalloc(ctrl, nvtxs); - pmat = idxset(nparts*nparts, 0, ctrl->wspace.pmat); - - cand = (KeyValueType *)GKmalloc(nparts*sizeof(KeyValueType), "EliminateSubDomainEdges: cand"); - cand2 = (KeyValueType *)GKmalloc(nparts*sizeof(KeyValueType), "EliminateSubDomainEdges: cand"); - - /* Compute the pmat matrix */ - for (i=0; i<nvtxs; i++) { - me = where[i]; - pwgts[me] += vwgt[i]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (where[k] != me) - pmat[me*nparts+where[k]] += adjwgt[j]; - } - } - - /* Compute the maximum allowed weight for each domain */ - tvwgt = idxsum(nparts, pwgts); - for (i=0; i<nparts; i++) - maxpwgt[i] = 1.25*tpwgts[i]*tvwgt; - - /* Determine the domain connectivity */ - for (i=0; i<nparts; i++) { - for (k=0, j=0; j<nparts; j++) { - if (pmat[i*nparts+j] > 0) - k++; - } - ndoms[i] = k; - } - - /* Get into the loop eliminating subdomain connections */ - for (;;) { - total = idxsum(nparts, ndoms); - avg = total/nparts; - max = ndoms[idxamax(nparts, ndoms)]; - - /* printf("Adjacent Subdomain Stats: Total: %3d, Max: %3d, Avg: %3d\n", total, max, avg); */ - - if (max < 1.5*avg) - break; - - me = idxamax(nparts, ndoms); - mypmat = pmat + me*nparts; - totalout = idxsum(nparts, mypmat); - - /*printf("Me: %d, TotalOut: %d,\n", me, totalout);*/ - - /* Sort the connections according to their cut */ - for (ncand2=0, i=0; i<nparts; i++) { - if (mypmat[i] > 0) { - cand2[ncand2].key = mypmat[i]; - cand2[ncand2++].val = i; - } - } - ikeysort(ncand2, cand2); - - move = 0; - for (min=0; min<ncand2; min++) { - if (cand2[min].key > totalout/(2*ndoms[me])) - break; - - other = cand2[min].val; - - /*printf("\tMinOut: %d to %d\n", mypmat[other], other);*/ - - idxset(nparts, 0, otherpmat); - - /* Go and find the vertices in 'other' that are connected in 'me' */ - for (nind=0, i=0; i<nvtxs; i++) { - if (where[i] == other) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (where[adjncy[j]] == me) { - ind[nind++] = i; - break; - } - } - } - } - - /* Go and construct the otherpmat to see where these nind vertices are connected to */ - for (cpwgt=0, ii=0; ii<nind; ii++) { - i = ind[ii]; - cpwgt += vwgt[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (where[k] != other) - otherpmat[where[k]] += adjwgt[j]; - } - } - - for (ncand=0, i=0; i<nparts; i++) { - if (otherpmat[i] > 0) { - cand[ncand].key = -otherpmat[i]; - cand[ncand++].val = i; - } - } - ikeysort(ncand, cand); - - /* - * Go through and the select the first domain that is common with 'me', and - * does not increase the ndoms[target] higher than my ndoms, subject to the - * maxpwgt constraint. Traversal is done from the mostly connected to the least. - */ - target = target2 = -1; - for (i=0; i<ncand; i++) { - k = cand[i].val; - - if (mypmat[k] > 0) { - if (pwgts[k] + cpwgt > maxpwgt[k]) /* Check if balance will go off */ - continue; - - for (j=0; j<nparts; j++) { - if (otherpmat[j] > 0 && ndoms[j] >= ndoms[me]-1 && pmat[nparts*j+k] == 0) - break; - } - if (j == nparts) { /* No bad second level effects */ - for (nadd=0, j=0; j<nparts; j++) { - if (otherpmat[j] > 0 && pmat[nparts*k+j] == 0) - nadd++; - } - - /*printf("\t\tto=%d, nadd=%d, %d\n", k, nadd, ndoms[k]);*/ - if (target2 == -1 && ndoms[k]+nadd < ndoms[me]) { - target2 = k; - } - if (nadd == 0) { - target = k; - break; - } - } - } - } - if (target == -1 && target2 != -1) - target = target2; - - if (target == -1) { - /* printf("\t\tCould not make the move\n");*/ - continue; - } - - /*printf("\t\tMoving to %d\n", target);*/ - - /* Update the partition weights */ - INC_DEC(pwgts[target], pwgts[other], cpwgt); - - /* Set all nind vertices to belong to 'target' */ - for (ii=0; ii<nind; ii++) { - i = ind[ii]; - where[i] = target; - - /* First remove any contribution that this vertex may have made */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (where[k] != other) { - if (pmat[nparts*other + where[k]] == 0) - printf("Something wrong\n"); - pmat[nparts*other + where[k]] -= adjwgt[j]; - if (pmat[nparts*other + where[k]] == 0) - ndoms[other]--; - - if (pmat[nparts*where[k] + other] == 0) - printf("Something wrong\n"); - pmat[nparts*where[k] + other] -= adjwgt[j]; - if (pmat[nparts*where[k] + other] == 0) - ndoms[where[k]]--; - } - } - - /* Next add the new contributions as a result of the move */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (where[k] != target) { - if (pmat[nparts*target + where[k]] == 0) - ndoms[target]++; - pmat[nparts*target + where[k]] += adjwgt[j]; - - if (pmat[nparts*where[k] + target] == 0) - ndoms[where[k]]++; - pmat[nparts*where[k] + target] += adjwgt[j]; - } - } - } - - move = 1; - break; - } - - if (move == 0) - break; - } - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - - GKfree(&cand, &cand2, LTERM); -} - - - -/************************************************************************* -* This function finds all the connected components induced by the -* partitioning vector in wgraph->where and tries to push them around to -* remove some of them -**************************************************************************/ -void EliminateVolComponents(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor) -{ - int i, ii, j, jj, k, me, nvtxs, tvwgt, first, last, nleft, ncmps, cwgt, ncand, other, target, deltawgt; - idxtype *xadj, *adjncy, *vwgt, *adjwgt, *where, *pwgts, *maxpwgt; - idxtype *cpvec, *touched, *perm, *todo, *cind, *cptr, *npcmps; - KeyValueType *cand; - int recompute=0; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - adjwgt = graph->adjwgt; - - where = graph->where; - pwgts = idxset(nparts, 0, graph->pwgts); - - touched = idxset(nvtxs, 0, idxwspacemalloc(ctrl, nvtxs)); - cptr = idxwspacemalloc(ctrl, nvtxs+1); - cind = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - todo = idxwspacemalloc(ctrl, nvtxs); - maxpwgt = idxwspacemalloc(ctrl, nparts); - cpvec = idxwspacemalloc(ctrl, nparts); - npcmps = idxset(nparts, 0, idxwspacemalloc(ctrl, nparts)); - - for (i=0; i<nvtxs; i++) - perm[i] = todo[i] = i; - - /* Find the connected componends induced by the partition */ - ncmps = -1; - first = last = 0; - nleft = nvtxs; - while (nleft > 0) { - if (first == last) { /* Find another starting vertex */ - cptr[++ncmps] = first; - ASSERT(touched[todo[0]] == 0); - i = todo[0]; - cind[last++] = i; - touched[i] = 1; - me = where[i]; - npcmps[me]++; - } - - i = cind[first++]; - k = perm[i]; - j = todo[k] = todo[--nleft]; - perm[j] = k; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (where[k] == me && !touched[k]) { - cind[last++] = k; - touched[k] = 1; - } - } - } - cptr[++ncmps] = first; - - /* printf("I found %d components, for this %d-way partition\n", ncmps, nparts); */ - - if (ncmps > nparts) { /* There are more components than processors */ - cand = (KeyValueType *)GKmalloc(nparts*sizeof(KeyValueType), "EliminateSubDomainEdges: cand"); - - /* First determine the partition sizes and max allowed load imbalance */ - for (i=0; i<nvtxs; i++) - pwgts[where[i]] += vwgt[i]; - tvwgt = idxsum(nparts, pwgts); - for (i=0; i<nparts; i++) - maxpwgt[i] = ubfactor*tpwgts[i]*tvwgt; - - deltawgt = tvwgt/(100*nparts); - deltawgt = 5; - - for (i=0; i<ncmps; i++) { - me = where[cind[cptr[i]]]; /* Get the domain of this component */ - if (npcmps[me] == 1) - continue; /* Skip it because it is contigous */ - - /*printf("Trying to move %d from %d\n", i, me); */ - - /* Determine the connectivity */ - idxset(nparts, 0, cpvec); - for (cwgt=0, j=cptr[i]; j<cptr[i+1]; j++) { - ii = cind[j]; - cwgt += vwgt[ii]; - for (jj=xadj[ii]; jj<xadj[ii+1]; jj++) { - other = where[adjncy[jj]]; - if (me != other) - cpvec[other] += adjwgt[jj]; - } - } - - /*printf("\tCmp weight: %d\n", cwgt);*/ - - if (cwgt > .30*pwgts[me]) - continue; /* Skip the component if it is over 30% of the weight */ - - for (ncand=0, j=0; j<nparts; j++) { - if (cpvec[j] > 0) { - cand[ncand].key = -cpvec[j]; - cand[ncand++].val = j; - } - } - if (ncand == 0) - continue; - - ikeysort(ncand, cand); - - target = -1; - for (j=0; j<ncand; j++) { - k = cand[j].val; - if (cwgt < deltawgt || pwgts[k] + cwgt < maxpwgt[k]) { - target = k; - break; - } - } - - /*printf("\tMoving it to %d [%d]\n", target, cpvec[target]);*/ - - if (target != -1) { - /* Assign all the vertices of 'me' to 'target' and update data structures */ - pwgts[me] -= cwgt; - pwgts[target] += cwgt; - npcmps[me]--; - - for (j=cptr[i]; j<cptr[i+1]; j++) - where[cind[j]] = target; - - graph->mincut -= cpvec[target]; - recompute = 1; - } - } - - free(cand); - } - - if (recompute) { - int ttlv; - idxtype *marker; - - marker = idxset(nparts, -1, cpvec); - for (ttlv=0, i=0; i<nvtxs; i++) { - marker[where[i]] = i; - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (marker[where[adjncy[j]]] != i) { - ttlv += graph->vsize[i]; - marker[where[adjncy[j]]] = i; - } - } - } - graph->minvol = ttlv; - } - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs+1); - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayvolrefine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayvolrefine.c deleted file mode 100644 index 7cf248d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/kwayvolrefine.c +++ /dev/null @@ -1,468 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * kwayvolrefine.c - * - * This file contains the driving routines for multilevel k-way refinement - * - * Started 7/28/97 - * George - * - * $Id: kwayvolrefine.c,v 1.1 2003/07/16 15:55:05 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of refinement -**************************************************************************/ -void RefineVolKWay(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, int nparts, - float *tpwgts, float ubfactor) -{ - int i, nlevels; - GraphType *ptr; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); - - /* Take care any non-contiguity */ - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->AuxTmr1)); - if (ctrl->RType == RTYPE_KWAYRANDOM_MCONN) { - ComputeVolKWayPartitionParams(ctrl, graph, nparts); - EliminateVolComponents(ctrl, graph, nparts, tpwgts, 1.25); - EliminateVolSubDomainEdges(ctrl, graph, nparts, tpwgts); - EliminateVolComponents(ctrl, graph, nparts, tpwgts, 1.25); - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->AuxTmr1)); - - - /* Determine how many levels are there */ - for (ptr=graph, nlevels=0; ptr!=orggraph; ptr=ptr->finer, nlevels++); - - /* Compute the parameters of the coarsest graph */ - ComputeVolKWayPartitionParams(ctrl, graph, nparts); - - for (i=0; ;i++) { - /*PrintSubDomainGraph(graph, nparts, graph->where);*/ - MALLOC_CHECK(NULL); - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); - - if (2*i >= nlevels && !IsBalanced(graph->pwgts, nparts, tpwgts, 1.04*ubfactor)) { - ComputeVolKWayBalanceBoundary(ctrl, graph, nparts); - switch (ctrl->RType) { - case RTYPE_KWAYRANDOM: - Greedy_KWayVolBalance(ctrl, graph, nparts, tpwgts, ubfactor, 1); - break; - case RTYPE_KWAYRANDOM_MCONN: - Greedy_KWayVolBalanceMConn(ctrl, graph, nparts, tpwgts, ubfactor, 1); - break; - } - ComputeVolKWayBoundary(ctrl, graph, nparts); - } - - switch (ctrl->RType) { - case RTYPE_KWAYRANDOM: - Random_KWayVolRefine(ctrl, graph, nparts, tpwgts, ubfactor, 10, 1); - break; - case RTYPE_KWAYRANDOM_MCONN: - Random_KWayVolRefineMConn(ctrl, graph, nparts, tpwgts, ubfactor, 10, 1); - break; - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); - - if (graph == orggraph) - break; - - GKfree(&graph->gdata, LTERM); /* Deallocate the graph related arrays */ - - graph = graph->finer; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - ProjectVolKWayPartition(ctrl, graph, nparts); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); - } - - if (!IsBalanced(graph->pwgts, nparts, tpwgts, ubfactor)) { - ComputeVolKWayBalanceBoundary(ctrl, graph, nparts); - switch (ctrl->RType) { - case RTYPE_KWAYRANDOM: - Greedy_KWayVolBalance(ctrl, graph, nparts, tpwgts, ubfactor, 8); - Random_KWayVolRefine(ctrl, graph, nparts, tpwgts, ubfactor, 10, 0); - break; - case RTYPE_KWAYRANDOM_MCONN: - Greedy_KWayVolBalanceMConn(ctrl, graph, nparts, tpwgts, ubfactor, 8); - Random_KWayVolRefineMConn(ctrl, graph, nparts, tpwgts, ubfactor, 10, 0); - break; - } - } - - EliminateVolComponents(ctrl, graph, nparts, tpwgts, ubfactor); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); -} - - - -/************************************************************************* -* This function allocates memory for k-way edge refinement -**************************************************************************/ -void AllocateVolKWayPartitionMemory(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int nvtxs, pad64; - - nvtxs = graph->nvtxs; - - pad64 = (3*nvtxs+nparts)%2; - - graph->rdata = idxmalloc(3*nvtxs+nparts+(sizeof(VRInfoType)/sizeof(idxtype))*nvtxs+pad64, "AllocateVolKWayPartitionMemory: rdata"); - graph->pwgts = graph->rdata; - graph->where = graph->rdata + nparts; - graph->bndptr = graph->rdata + nvtxs + nparts; - graph->bndind = graph->rdata + 2*nvtxs + nparts; - graph->vrinfo = (VRInfoType *)(graph->rdata + 3*nvtxs+nparts + pad64); - -} - - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void ComputeVolKWayPartitionParams(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, ii, j, k, kk, l, nvtxs, nbnd, mincut, minvol, me, other, pid; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *pwgts, *where; - VRInfoType *rinfo, *myrinfo, *orinfo; - VEDegreeType *myedegrees, *oedegrees; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - pwgts = idxset(nparts, 0, graph->pwgts); - rinfo = graph->vrinfo; - -starttimer(ctrl->AuxTmr1); - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - ctrl->wspace.cdegree = 0; - mincut = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - pwgts[me] += vwgt[i]; - - myrinfo = rinfo+i; - myrinfo->id = myrinfo->ed = myrinfo->nid = myrinfo->ndegrees = 0; - myrinfo->edegrees = NULL; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me == where[adjncy[j]]) { - myrinfo->id += adjwgt[j]; - myrinfo->nid++; - } - } - myrinfo->ed = graph->adjwgtsum[i] - myrinfo->id; - - mincut += myrinfo->ed; - - /* Time to compute the particular external degrees */ - if (myrinfo->ed > 0) { - myedegrees = myrinfo->edegrees = ctrl->wspace.vedegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[i+1]-xadj[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = where[adjncy[j]]; - if (me != other) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == other) { - myedegrees[k].ed += adjwgt[j]; - myedegrees[k].ned++; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].gv = 0; - myedegrees[myrinfo->ndegrees].pid = other; - myedegrees[myrinfo->ndegrees].ed = adjwgt[j]; - myedegrees[myrinfo->ndegrees++].ned = 1; - } - } - } - - ASSERT(myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - } - } - graph->mincut = mincut/2; - -stoptimer(ctrl->AuxTmr1); - - ComputeKWayVolGains(ctrl, graph, nparts); - -} - - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void ComputeKWayVolGains(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, ii, j, k, kk, l, nvtxs, me, other, pid, myndegrees; - idxtype *xadj, *vsize, *adjncy, *adjwgt, *where, *bndind, *bndptr, *ophtable; - VRInfoType *rinfo, *myrinfo, *orinfo; - VEDegreeType *myedegrees, *oedegrees; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vsize = graph->vsize; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - rinfo = graph->vrinfo; - -starttimer(ctrl->AuxTmr2); - - ophtable = idxset(nparts, -1, idxwspacemalloc(ctrl, nparts)); - - /*------------------------------------------------------------ - / Compute now the iv/ev degrees - /------------------------------------------------------------*/ - graph->minvol = graph->nbnd = 0; - for (i=0; i<nvtxs; i++) { - myrinfo = rinfo+i; - myrinfo->gv = -MAXIDX; - - if (myrinfo->ndegrees > 0) { - me = where[i]; - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - graph->minvol += myndegrees*vsize[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - other = where[ii]; - orinfo = rinfo+ii; - oedegrees = orinfo->edegrees; - - for (k=0; k<orinfo->ndegrees; k++) - ophtable[oedegrees[k].pid] = k; - ophtable[other] = 1; /* this is to simplify coding */ - - if (me == other) { - /* Find which domains 'i' is connected and 'ii' is not and update their gain */ - for (k=0; k<myndegrees; k++) { - if (ophtable[myedegrees[k].pid] == -1) - myedegrees[k].gv -= vsize[ii]; - } - } - else { - ASSERT(ophtable[me] != -1); - - if (oedegrees[ophtable[me]].ned == 1) { /* I'm the only connection of 'ii' in 'me' */ - /* Increase the gains for all the common domains between 'i' and 'ii' */ - for (k=0; k<myndegrees; k++) { - if (ophtable[myedegrees[k].pid] != -1) - myedegrees[k].gv += vsize[ii]; - } - } - else { - /* Find which domains 'i' is connected and 'ii' is not and update their gain */ - for (k=0; k<myndegrees; k++) { - if (ophtable[myedegrees[k].pid] == -1) - myedegrees[k].gv -= vsize[ii]; - } - } - } - - for (kk=0; kk<orinfo->ndegrees; kk++) - ophtable[oedegrees[kk].pid] = -1; - ophtable[other] = -1; - } - - /* Compute the max vgain */ - for (k=0; k<myndegrees; k++) { - if (myedegrees[k].gv > myrinfo->gv) - myrinfo->gv = myedegrees[k].gv; - } - } - - if (myrinfo->ed > 0 && myrinfo->id == 0) - myrinfo->gv += vsize[i]; - - if (myrinfo->gv >= 0 || myrinfo->ed-myrinfo->id >= 0) - BNDInsert(graph->nbnd, bndind, bndptr, i); - } - -stoptimer(ctrl->AuxTmr2); - - idxwspacefree(ctrl, nparts); - -} - - - -/************************************************************************* -* This function projects a partition, and at the same time computes the -* parameters for refinement. -**************************************************************************/ -void ProjectVolKWayPartition(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, j, k, nvtxs, me, other, istart, iend, ndegrees; - idxtype *xadj, *adjncy, *adjwgt, *adjwgtsum; - idxtype *cmap, *where; - idxtype *cwhere; - GraphType *cgraph; - VRInfoType *crinfo, *rinfo, *myrinfo; - VEDegreeType *myedegrees; - idxtype *htable; - - cgraph = graph->coarser; - cwhere = cgraph->where; - crinfo = cgraph->vrinfo; - - nvtxs = graph->nvtxs; - cmap = graph->cmap; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - - AllocateVolKWayPartitionMemory(ctrl, graph, nparts); - where = graph->where; - rinfo = graph->vrinfo; - - /* Go through and project partition and compute id/ed for the nodes */ - for (i=0; i<nvtxs; i++) { - k = cmap[i]; - where[i] = cwhere[k]; - cmap[i] = crinfo[k].ed; /* For optimization */ - } - - htable = idxset(nparts, -1, idxwspacemalloc(ctrl, nparts)); - - ctrl->wspace.cdegree = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - - myrinfo = rinfo+i; - myrinfo->id = myrinfo->ed = myrinfo->nid = myrinfo->ndegrees = 0; - myrinfo->edegrees = NULL; - - myrinfo->id = adjwgtsum[i]; - myrinfo->nid = xadj[i+1]-xadj[i]; - - if (cmap[i] > 0) { /* If it is an interface node. Note cmap[i] = crinfo[cmap[i]].ed */ - istart = xadj[i]; - iend = xadj[i+1]; - - myedegrees = myrinfo->edegrees = ctrl->wspace.vedegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += iend-istart; - - ndegrees = 0; - for (j=istart; j<iend; j++) { - other = where[adjncy[j]]; - if (me != other) { - myrinfo->ed += adjwgt[j]; - myrinfo->nid--; - if ((k = htable[other]) == -1) { - htable[other] = ndegrees; - myedegrees[ndegrees].gv = 0; - myedegrees[ndegrees].pid = other; - myedegrees[ndegrees].ed = adjwgt[j]; - myedegrees[ndegrees++].ned = 1; - } - else { - myedegrees[k].ed += adjwgt[j]; - myedegrees[k].ned++; - } - } - } - myrinfo->id -= myrinfo->ed; - - /* Remove space for edegrees if it was interior */ - if (myrinfo->ed == 0) { - myrinfo->edegrees = NULL; - ctrl->wspace.cdegree -= iend-istart; - } - else { - myrinfo->ndegrees = ndegrees; - - for (j=0; j<ndegrees; j++) - htable[myedegrees[j].pid] = -1; - } - } - } - - ComputeKWayVolGains(ctrl, graph, nparts); - - idxcopy(nparts, cgraph->pwgts, graph->pwgts); - graph->mincut = cgraph->mincut; - - FreeGraph(graph->coarser); - graph->coarser = NULL; - - idxwspacefree(ctrl, nparts); - -} - - - -/************************************************************************* -* This function computes the boundary definition for balancing -**************************************************************************/ -void ComputeVolKWayBoundary(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, nvtxs, nbnd; - idxtype *bndind, *bndptr; - - nvtxs = graph->nvtxs; - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - - - /*------------------------------------------------------------ - / Compute the new boundary - /------------------------------------------------------------*/ - nbnd = 0; - for (i=0; i<nvtxs; i++) { - if (graph->vrinfo[i].gv >=0 || graph->vrinfo[i].ed-graph->vrinfo[i].id >= 0) - BNDInsert(nbnd, bndind, bndptr, i); - } - - graph->nbnd = nbnd; -} - -/************************************************************************* -* This function computes the boundary definition for balancing -**************************************************************************/ -void ComputeVolKWayBalanceBoundary(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, nvtxs, nbnd; - idxtype *bndind, *bndptr; - - nvtxs = graph->nvtxs; - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - - - /*------------------------------------------------------------ - / Compute the new boundary - /------------------------------------------------------------*/ - nbnd = 0; - for (i=0; i<nvtxs; i++) { - if (graph->vrinfo[i].ed > 0) - BNDInsert(nbnd, bndind, bndptr, i); - } - - graph->nbnd = nbnd; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/macros.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/macros.h deleted file mode 100644 index 97e42a2..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/macros.h +++ /dev/null @@ -1,138 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * macros.h - * - * This file contains macros used in multilevel - * - * Started 9/25/94 - * George - * - * $Id: macros.h,v 1.7 2003/07/21 19:11:40 karypis Exp $ - * - */ - - -/************************************************************************* -* The following macro returns a random number in the specified range -**************************************************************************/ -#define RandomInRange(u) ((int)(1.0*(u)*rand()/(RAND_MAX+1.0))) - -#define amax(a, b) ((a) >= (b) ? (a) : (b)) -#define amin(a, b) ((a) >= (b) ? (b) : (a)) - -#define AND(a, b) ((a) < 0 ? ((-(a))&(b)) : ((a)&(b))) -#define OR(a, b) ((a) < 0 ? -((-(a))|(b)) : ((a)|(b))) -#define XOR(a, b) ((a) < 0 ? -((-(a))^(b)) : ((a)^(b))) - -#define SWAP(a, b, tmp) \ - do {(tmp) = (a); (a) = (b); (b) = (tmp);} while(0) - -#define INC_DEC(a, b, val) \ - do {(a) += (val); (b) -= (val);} while(0) - - -#define scopy(n, a, b) (float *)memcpy((void *)(b), (void *)(a), sizeof(float)*(n)) -#define idxcopy(n, a, b) (idxtype *)memcpy((void *)(b), (void *)(a), sizeof(idxtype)*(n)) - -#define HASHFCT(key, size) ((key)%(size)) - - -/************************************************************************* -* Timer macros -**************************************************************************/ -#define cleartimer(tmr) (tmr = 0.0) -#define starttimer(tmr) (tmr -= seconds()) -#define stoptimer(tmr) (tmr += seconds()) -#define gettimer(tmr) (tmr) - - -/************************************************************************* -* This macro is used to handle dbglvl -**************************************************************************/ -#define IFSET(a, flag, cmd) if ((a)&(flag)) (cmd); - -/************************************************************************* -* These macros are used for debuging memory leaks -**************************************************************************/ -#ifdef DMALLOC -#define imalloc(n, msg) (malloc(sizeof(int)*(n))) -#define fmalloc(n, msg) (malloc(sizeof(float)*(n))) -#define idxmalloc(n, msg) (malloc(sizeof(idxtype)*(n))) -#define ismalloc(n, val, msg) (iset((n), (val), malloc(sizeof(int)*(n)))) -#define idxsmalloc(n, val, msg) (idxset((n), (val), malloc(sizeof(idxtype)*(n)))) -#define GKmalloc(a, b) (malloc((a))) -#endif - -#ifdef DMALLOC -# define MALLOC_CHECK(ptr); -/* -# define MALLOC_CHECK(ptr) \ - if (malloc_verify((ptr)) == DMALLOC_VERIFY_ERROR) { \ - printf("***MALLOC_CHECK failed on line %d of file %s: " #ptr "\n", \ - __LINE__, __FILE__); \ - abort(); \ - } -*/ -#else -# define MALLOC_CHECK(ptr) ; -#endif - - - -/************************************************************************* -* This macro converts a length array in a CSR one -**************************************************************************/ -#define MAKECSR(i, n, a) \ - do { \ - for (i=1; i<n; i++) a[i] += a[i-1]; \ - for (i=n; i>0; i--) a[i] = a[i-1]; \ - a[0] = 0; \ - } while(0) - - -/************************************************************************* -* These macros insert and remove nodes from the boundary list -**************************************************************************/ -#define BNDInsert(nbnd, bndind, bndptr, vtx) \ - do { \ - ASSERT(bndptr[vtx] == -1); \ - bndind[nbnd] = vtx; \ - bndptr[vtx] = nbnd++;\ - } while(0) - -#define BNDDelete(nbnd, bndind, bndptr, vtx) \ - do { \ - ASSERT(bndptr[vtx] != -1); \ - bndind[bndptr[vtx]] = bndind[--nbnd]; \ - bndptr[bndind[nbnd]] = bndptr[vtx]; \ - bndptr[vtx] = -1; \ - } while(0) - - - -/************************************************************************* -* These are debugging macros -**************************************************************************/ -#ifdef DEBUG -# define ASSERT(expr) \ - if (!(expr)) { \ - printf("***ASSERTION failed on line %d of file %s: " #expr "\n", \ - __LINE__, __FILE__); \ - abort(); \ - } -#else -# define ASSERT(expr) ; -#endif - -#ifdef DEBUG -# define ASSERTP(expr, msg) \ - if (!(expr)) { \ - printf("***ASSERTION failed on line %d of file %s: " #expr "\n", \ - __LINE__, __FILE__); \ - printf msg ; \ - abort(); \ - } -#else -# define ASSERTP(expr, msg) ; -#endif diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/match.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/match.c deleted file mode 100644 index 509f457..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/match.c +++ /dev/null @@ -1,267 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * match.c - * - * This file contains the code that computes matchings and creates the next - * level coarse graph. - * - * Started 7/23/97 - * George - * - * $Id: match.c,v 1.1 2003/07/16 15:55:06 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void Match_RM(CtrlType *ctrl, GraphType *graph) -{ - int i, ii, j, nvtxs, cnvtxs, maxidx; - idxtype *xadj, *vwgt, *adjncy, *adjwgt; - idxtype *match, *cmap, *perm; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - RandomPermute(nvtxs, perm, 1); - - cnvtxs = 0; - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - - /* Find a random matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (match[adjncy[j]] == UNMATCHED && vwgt[i]+vwgt[adjncy[j]] <= ctrl->maxvwgt) { - maxidx = adjncy[j]; - break; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - CreateCoarseGraph(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void Match_RM_NVW(CtrlType *ctrl, GraphType *graph) -{ - int i, ii, j, nvtxs, cnvtxs, maxidx; - idxtype *xadj, *adjncy; - idxtype *match, *cmap, *perm; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - RandomPermute(nvtxs, perm, 1); - - cnvtxs = 0; - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - - /* Find a random matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (match[adjncy[j]] == UNMATCHED) { - maxidx = adjncy[j]; - break; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - CreateCoarseGraph_NVW(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void Match_HEM(CtrlType *ctrl, GraphType *graph) -{ - int i, ii, j, k, nvtxs, cnvtxs, maxidx, maxwgt; - idxtype *xadj, *vwgt, *adjncy, *adjwgt; - idxtype *match, *cmap, *perm; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - RandomPermute(nvtxs, perm, 1); - - cnvtxs = 0; - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - maxwgt = 0; - - /* Find a heavy-edge matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (match[k] == UNMATCHED && maxwgt < adjwgt[j] && vwgt[i]+vwgt[k] <= ctrl->maxvwgt) { - maxwgt = adjwgt[j]; - maxidx = adjncy[j]; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - CreateCoarseGraph(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void Match_SHEM(CtrlType *ctrl, GraphType *graph) -{ - int i, ii, j, k, nvtxs, cnvtxs, maxidx, maxwgt, avgdegree; - idxtype *xadj, *vwgt, *adjncy, *adjwgt; - idxtype *match, *cmap, *degrees, *perm, *tperm; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - tperm = idxwspacemalloc(ctrl, nvtxs); - degrees = idxwspacemalloc(ctrl, nvtxs); - - RandomPermute(nvtxs, tperm, 1); - avgdegree = 0.7*(xadj[nvtxs]/nvtxs); - for (i=0; i<nvtxs; i++) - degrees[i] = (xadj[i+1]-xadj[i] > avgdegree ? avgdegree : xadj[i+1]-xadj[i]); - BucketSortKeysInc(nvtxs, avgdegree, degrees, tperm, perm); - - cnvtxs = 0; - - /* Take care any islands. Islands are matched with non-islands due to coarsening */ - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - if (xadj[i] < xadj[i+1]) - break; - - maxidx = i; - for (j=nvtxs-1; j>ii; j--) { - k = perm[j]; - if (match[k] == UNMATCHED && xadj[k] < xadj[k+1]) { - maxidx = k; - break; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - /* Continue with normal matching */ - for (; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - maxwgt = 0; - - /* Find a heavy-edge matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (match[adjncy[j]] == UNMATCHED && maxwgt < adjwgt[j] && vwgt[i]+vwgt[adjncy[j]] <= ctrl->maxvwgt) { - maxwgt = adjwgt[j]; - maxidx = adjncy[j]; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - idxwspacefree(ctrl, nvtxs); /* degrees */ - idxwspacefree(ctrl, nvtxs); /* tperm */ - - CreateCoarseGraph(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mbalance.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mbalance.c deleted file mode 100644 index 65e9961..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mbalance.c +++ /dev/null @@ -1,260 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mbalance.c - * - * This file contains code that is used to forcefully balance either - * bisections or k-sections - * - * Started 7/29/97 - * George - * - * $Id: mbalance.c,v 1.1 2003/07/16 15:55:07 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of the bisection balancing algorithms. -**************************************************************************/ -void MocBalance2Way(CtrlType *ctrl, GraphType *graph, float *tpwgts, float lbfactor) -{ - - if (Compute2WayHLoadImbalance(graph->ncon, graph->npwgts, tpwgts) < lbfactor) - return; - - MocGeneral2WayBalance(ctrl, graph, tpwgts, lbfactor); - -} - - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void MocGeneral2WayBalance(CtrlType *ctrl, GraphType *graph, float *tpwgts, float lbfactor) -{ - int i, ii, j, k, l, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, me, limit, tmp, cnum; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *moved, *swaps, *perm, *qnum; - float *nvwgt, *npwgts, mindiff[MAXNCON], origbal, minbal, newbal; - PQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut, newcut, mincutorder; - int qsizes[MAXNCON][2]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - npwgts = graph->npwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - qnum = idxwspacemalloc(ctrl, nvtxs); - - limit = amin(amax(0.01*nvtxs, 15), 100); - - /* Initialize the queues */ - for (i=0; i<ncon; i++) { - PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1); - PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1); - qsizes[i][0] = qsizes[i][1] = 0; - } - - for (i=0; i<nvtxs; i++) { - qnum[i] = samax(ncon, nvwgt+i*ncon); - qsizes[qnum[i]][where[i]]++; - } - -/* - printf("Weight Distribution: \t"); - for (i=0; i<ncon; i++) - printf(" [%d %d]", qsizes[i][0], qsizes[i][1]); - printf("\n"); -*/ - - for (from=0; from<2; from++) { - for (j=0; j<ncon; j++) { - if (qsizes[j][from] == 0) { - for (i=0; i<nvtxs; i++) { - if (where[i] != from) - continue; - - k = samax2(ncon, nvwgt+i*ncon); - if (k == j && qsizes[qnum[i]][from] > qsizes[j][from] && nvwgt[i*ncon+qnum[i]] < 1.3*nvwgt[i*ncon+j]) { - qsizes[qnum[i]][from]--; - qsizes[j][from]++; - qnum[i] = j; - } - } - } - } - } - -/* - printf("Weight Distribution (after):\t "); - for (i=0; i<ncon; i++) - printf(" [%d %d]", qsizes[i][0], qsizes[i][1]); - printf("\n"); -*/ - - - - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[0]-npwgts[i]); - minbal = origbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - newcut = mincut = graph->mincut; - mincutorder = -1; - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Parts: ["); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f [B]\n", tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut, origbal); - } - - idxset(nvtxs, -1, moved); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - /* Insert all nodes in the priority queues */ - nbnd = graph->nbnd; - RandomPermute(nvtxs, perm, 1); - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - PQueueInsert(&parts[qnum[i]][where[i]], i, ed[i]-id[i]); - } - - for (nswaps=0; nswaps<nvtxs; nswaps++) { - if (minbal < lbfactor) - break; - - SelectQueue(ncon, npwgts, tpwgts, &from, &cnum, parts); - to = (from+1)%2; - - if (from == -1 || (higain = PQueueGetMax(&parts[cnum][from])) == -1) - break; - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - newcut -= (ed[higain]-id[higain]); - newbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - if (newbal < minbal || (newbal == minbal && - (newcut < mincut || (newcut == mincut && BetterBalance(ncon, npwgts, tpwgts, mindiff))))) { - mincut = newcut; - minbal = newbal; - mincutorder = nswaps; - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[0]-npwgts[i]); - } - else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */ - newcut += (ed[higain]-id[higain]); - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - break; - } - - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - if (ctrl->dbglvl&DBG_MOVEINFO) { - printf("Moved %6d from %d(%d). Gain: %5d, Cut: %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], newcut); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf(", %.3f LB: %.3f\n", minbal, newbal); - } - - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update the queue position */ - if (moved[k] == -1) - PQueueUpdate(&parts[qnum[k]][where[k]], k, oldgain, ed[k]-id[k]); - - /* Update its boundary information */ - if (ed[k] == 0 && bndptr[k] != -1) - BNDDelete(nbnd, bndind, bndptr, k); - else if (ed[k] > 0 && bndptr[k] == -1) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - - - /**************************************************************** - * Roll back computations - *****************************************************************/ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - to = where[higain] = (where[higain]+1)%2; - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - else if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1); - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - if (bndptr[k] != -1 && ed[k] == 0) - BNDDelete(nbnd, bndind, bndptr, k); - if (bndptr[k] == -1 && ed[k] > 0) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\tMincut: %6d at %5d, NBND: %6d, NPwgts: [", mincut, mincutorder, nbnd); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("], LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts)); - } - - graph->mincut = mincut; - graph->nbnd = nbnd; - - - for (i=0; i<ncon; i++) { - PQueueFree(ctrl, &parts[i][0]); - PQueueFree(ctrl, &parts[i][1]); - } - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mbalance2.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mbalance2.c deleted file mode 100644 index d39f1e0..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mbalance2.c +++ /dev/null @@ -1,328 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mbalance2.c - * - * This file contains code that is used to forcefully balance either - * bisections or k-sections - * - * Started 7/29/97 - * George - * - * $Id: mbalance2.c,v 1.1 2003/07/16 15:55:07 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of the bisection balancing algorithms. -**************************************************************************/ -void MocBalance2Way2(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *ubvec) -{ - int i; - float tvec[MAXNCON]; - - Compute2WayHLoadImbalanceVec(graph->ncon, graph->npwgts, tpwgts, tvec); - if (!AreAllBelow(graph->ncon, tvec, ubvec)) - MocGeneral2WayBalance2(ctrl, graph, tpwgts, ubvec); -} - - - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void MocGeneral2WayBalance2(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *ubvec) -{ - int i, ii, j, k, l, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, me, limit, tmp, cnum; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *moved, *swaps, *perm, *qnum; - float *nvwgt, *npwgts, origbal[MAXNCON], minbal[MAXNCON], newbal[MAXNCON]; - PQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut, newcut, mincutorder; - float *maxwgt, *minwgt, tvec[MAXNCON]; - - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - npwgts = graph->npwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - qnum = idxwspacemalloc(ctrl, nvtxs); - - limit = amin(amax(0.01*nvtxs, 15), 100); - - /* Setup the weight intervals of the two subdomains */ - minwgt = fwspacemalloc(ctrl, 2*ncon); - maxwgt = fwspacemalloc(ctrl, 2*ncon); - - for (i=0; i<2; i++) { - for (j=0; j<ncon; j++) { - maxwgt[i*ncon+j] = tpwgts[i]*ubvec[j]; - minwgt[i*ncon+j] = tpwgts[i]*(1.0/ubvec[j]); - } - } - - - /* Initialize the queues */ - for (i=0; i<ncon; i++) { - PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1); - PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1); - } - for (i=0; i<nvtxs; i++) - qnum[i] = samax(ncon, nvwgt+i*ncon); - - Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, origbal); - for (i=0; i<ncon; i++) - minbal[i] = origbal[i]; - - newcut = mincut = graph->mincut; - mincutorder = -1; - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Parts: ["); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: ", tpwgts[0], tpwgts[1], - graph->nvtxs, graph->nbnd, graph->mincut); - for (i=0; i<ncon; i++) - printf("%.3f ", origbal[i]); - printf("[B]\n"); - } - - idxset(nvtxs, -1, moved); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - /* Insert all nodes in the priority queues */ - nbnd = graph->nbnd; - RandomPermute(nvtxs, perm, 1); - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - PQueueInsert(&parts[qnum[i]][where[i]], i, ed[i]-id[i]); - } - - - for (nswaps=0; nswaps<nvtxs; nswaps++) { - if (AreAllBelow(ncon, minbal, ubvec)) - break; - - SelectQueue3(ncon, npwgts, tpwgts, &from, &cnum, parts, maxwgt); - to = (from+1)%2; - - if (from == -1 || (higain = PQueueGetMax(&parts[cnum][from])) == -1) - break; - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - newcut -= (ed[higain]-id[higain]); - Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, newbal); - - if (IsBetter2wayBalance(ncon, newbal, minbal, ubvec) || - (IsBetter2wayBalance(ncon, newbal, origbal, ubvec) && newcut < mincut)) { - mincut = newcut; - for (i=0; i<ncon; i++) - minbal[i] = newbal[i]; - mincutorder = nswaps; - } - else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */ - newcut += (ed[higain]-id[higain]); - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - break; - } - - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - if (ctrl->dbglvl&DBG_MOVEINFO) { - printf("Moved %6d from %d(%d). Gain: %5d, Cut: %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], newcut); - for (i=0; i<ncon; i++) - printf("(%.3f, %.3f) ", npwgts[i], npwgts[ncon+i]); - - Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, tvec); - printf(", LB: "); - for (i=0; i<ncon; i++) - printf("%.3f ", tvec[i]); - if (mincutorder == nswaps) - printf(" *\n"); - else - printf("\n"); - } - - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update the queue position */ - if (moved[k] == -1) - PQueueUpdate(&parts[qnum[k]][where[k]], k, oldgain, ed[k]-id[k]); - - /* Update its boundary information */ - if (ed[k] == 0 && bndptr[k] != -1) - BNDDelete(nbnd, bndind, bndptr, k); - else if (ed[k] > 0 && bndptr[k] == -1) - BNDInsert(nbnd, bndind, bndptr, k); - } - - } - - - - /**************************************************************** - * Roll back computations - *****************************************************************/ - for (i=0; i<nswaps; i++) - moved[swaps[i]] = -1; /* reset moved array */ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - to = where[higain] = (where[higain]+1)%2; - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - else if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1); - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - if (bndptr[k] != -1 && ed[k] == 0) - BNDDelete(nbnd, bndind, bndptr, k); - if (bndptr[k] == -1 && ed[k] > 0) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\tMincut: %6d at %5d, NBND: %6d, NPwgts: [", mincut, mincutorder, nbnd); - for (i=0; i<ncon; i++) - printf("(%.3f, %.3f) ", npwgts[i], npwgts[ncon+i]); - printf("], LB: "); - Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, tvec); - for (i=0; i<ncon; i++) - printf("%.3f ", tvec[i]); - printf("\n"); - } - - graph->mincut = mincut; - graph->nbnd = nbnd; - - - for (i=0; i<ncon; i++) { - PQueueFree(ctrl, &parts[i][0]); - PQueueFree(ctrl, &parts[i][1]); - } - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - fwspacefree(ctrl, 2*ncon); - fwspacefree(ctrl, 2*ncon); - -} - - - - -/************************************************************************* -* This function selects the partition number and the queue from which -* we will move vertices out -**************************************************************************/ -void SelectQueue3(int ncon, float *npwgts, float *tpwgts, int *from, int *cnum, - PQueueType queues[MAXNCON][2], float *maxwgt) -{ - int i, j, maxgain=0; - float maxdiff=0.0, diff; - - *from = -1; - *cnum = -1; - - /* First determine the side and the queue, irrespective of the presence of nodes */ - for (j=0; j<2; j++) { - for (i=0; i<ncon; i++) { - diff = npwgts[j*ncon+i]-maxwgt[j*ncon+i]; - if (diff >= maxdiff) { - maxdiff = diff; - *from = j; - *cnum = i; - } - } - } - -/* DELETE -j = *from; -for (i=0; i<ncon; i++) - printf("[%5d %5d %.4f %.4f] ", i, PQueueGetSize(&queues[i][j]), npwgts[j*ncon+i], maxwgt[j*ncon+i]); -printf("***[%5d %5d]\n", *cnum, *from); -*/ - - /* If the desired queue is empty, select a node from that side anyway */ - if (*from != -1 && PQueueGetSize(&queues[*cnum][*from]) == 0) { - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][*from]) > 0) { - maxdiff = (npwgts[(*from)*ncon+i] - maxwgt[(*from)*ncon+i]); - *cnum = i; - break; - } - } - - for (i++; i<ncon; i++) { - diff = npwgts[(*from)*ncon+i] - maxwgt[(*from)*ncon+i]; - if (diff > maxdiff && PQueueGetSize(&queues[i][*from]) > 0) { - maxdiff = diff; - *cnum = i; - } - } - } - - /* If the constraints ar OK, select a high gain vertex */ - if (*from == -1) { - maxgain = -100000; - for (j=0; j<2; j++) { - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][j]) > 0 && PQueueGetKey(&queues[i][j]) > maxgain) { - maxgain = PQueueGetKey(&queues[i][0]); - *from = j; - *cnum = i; - } - } - } - - /* printf("(%2d %2d) %3d\n", *from, *cnum, maxgain); */ - } -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mcoarsen.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mcoarsen.c deleted file mode 100644 index 336e6c6..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mcoarsen.c +++ /dev/null @@ -1,106 +0,0 @@ -/* - * mcoarsen.c - * - * This file contains the driving routines for the coarsening process - * - * Started 7/23/97 - * George - * - * $Id: mcoarsen.c,v 1.2 2003/07/31 16:23:29 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function takes a graph and creates a sequence of coarser graphs -**************************************************************************/ -GraphType *MCCoarsen2Way(CtrlType *ctrl, GraphType *graph) -{ - int i, clevel; - GraphType *cgraph; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->CoarsenTmr)); - - cgraph = graph; - - clevel = 0; - do { - if (ctrl->dbglvl&DBG_COARSEN) { - printf("%6d %7d %10d [%d] [%6.4f", cgraph->nvtxs, cgraph->nedges, - idxsum(cgraph->nvtxs, cgraph->adjwgtsum), ctrl->CoarsenTo, ctrl->nmaxvwgt); - for (i=0; i<graph->ncon; i++) - printf(" %5.3f", ssum_strd(cgraph->nvtxs, cgraph->nvwgt+i, cgraph->ncon)); - printf("]\n"); - } - - switch (ctrl->CType) { - case MATCH_RM: - MCMatch_RM(ctrl, cgraph); - break; - case MATCH_HEM: - if (clevel < 1 || cgraph->nedges == 0) - MCMatch_RM(ctrl, cgraph); - else - MCMatch_HEM(ctrl, cgraph); - break; - case MATCH_SHEM: - if (clevel < 1 || cgraph->nedges == 0) - MCMatch_RM(ctrl, cgraph); - else - MCMatch_SHEM(ctrl, cgraph); - break; - case MATCH_SHEMKWAY: - if (clevel < 1 || cgraph->nedges == 0) - MCMatch_RM(ctrl, cgraph); - else - MCMatch_SHEM(ctrl, cgraph); - break; - case MATCH_SHEBM_ONENORM: - if (clevel < 1 || cgraph->nedges == 0) - MCMatch_RM(ctrl, cgraph); - else - MCMatch_SHEBM(ctrl, cgraph, 1); - break; - case MATCH_SHEBM_INFNORM: - if (clevel < 1 || cgraph->nedges == 0) - MCMatch_RM(ctrl, cgraph); - else - MCMatch_SHEBM(ctrl, cgraph, -1); - break; - case MATCH_SBHEM_ONENORM: - if (clevel < 1 || cgraph->nedges == 0) - MCMatch_RM(ctrl, cgraph); - else - MCMatch_SBHEM(ctrl, cgraph, 1); - break; - case MATCH_SBHEM_INFNORM: - if (clevel < 1 || cgraph->nedges == 0) - MCMatch_RM(ctrl, cgraph); - else - MCMatch_SBHEM(ctrl, cgraph, -1); - break; - default: - errexit("Unknown CType: %d\n", ctrl->CType); - } - - cgraph = cgraph->coarser; - clevel++; - - } while (cgraph->nvtxs > ctrl->CoarsenTo && cgraph->nvtxs < COARSEN_FRACTION2*cgraph->finer->nvtxs && cgraph->nedges > cgraph->nvtxs/2); - - if (ctrl->dbglvl&DBG_COARSEN) { - printf("%6d %7d %10d [%d] [%6.4f", cgraph->nvtxs, cgraph->nedges, - idxsum(cgraph->nvtxs, cgraph->adjwgtsum), ctrl->CoarsenTo, ctrl->nmaxvwgt); - for (i=0; i<graph->ncon; i++) - printf(" %5.3f", ssum_strd(cgraph->nvtxs, cgraph->nvwgt+i, cgraph->ncon)); - printf("]\n"); - } - - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->CoarsenTmr)); - - return cgraph; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/memory.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/memory.c deleted file mode 100644 index 0082b8c..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/memory.c +++ /dev/null @@ -1,208 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * memory.c - * - * This file contains routines that deal with memory allocation - * - * Started 2/24/96 - * George - * - * $Id: memory.c,v 1.1 2003/07/24 18:39:08 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function allocates memory for the workspace -**************************************************************************/ -void AllocateWorkSpace(CtrlType *ctrl, GraphType *graph, int nparts) -{ - ctrl->wspace.pmat = NULL; - - if (ctrl->optype == OP_KMETIS) { - ctrl->wspace.edegrees = (EDegreeType *)GKmalloc(graph->nedges*sizeof(EDegreeType), "AllocateWorkSpace: edegrees"); - ctrl->wspace.vedegrees = NULL; - ctrl->wspace.auxcore = (idxtype *)ctrl->wspace.edegrees; - - ctrl->wspace.pmat = idxmalloc(nparts*nparts, "AllocateWorkSpace: pmat"); - - /* Memory requirements for different phases - Coarsening - Matching: 4*nvtxs vectors - Contraction: 2*nvtxs vectors (from the above 4), 1*nparts, 1*Nedges - Total = MAX(4*nvtxs, 2*nvtxs+nparts+nedges) - - Refinement - Random Refinement/Balance: 5*nparts + 1*nvtxs + 2*nedges - Greedy Refinement/Balance: 5*nparts + 2*nvtxs + 2*nedges + 1*PQueue(==Nvtxs) - Total = 5*nparts + 3*nvtxs + 2*nedges - - Total = 5*nparts + 3*nvtxs + 2*nedges - */ - ctrl->wspace.maxcore = 3*(graph->nvtxs+1) + /* Match/Refinement vectors */ - 5*(nparts+1) + /* Partition weights etc */ - graph->nvtxs*(sizeof(ListNodeType)/sizeof(idxtype)) + /* Greedy k-way balance/refine */ - 20 /* padding for 64 bit machines */ - ; - } - else if (ctrl->optype == OP_KVMETIS) { - ctrl->wspace.edegrees = NULL; - ctrl->wspace.vedegrees = (VEDegreeType *)GKmalloc(graph->nedges*sizeof(VEDegreeType), "AllocateWorkSpace: vedegrees"); - ctrl->wspace.auxcore = (idxtype *)ctrl->wspace.vedegrees; - - ctrl->wspace.pmat = idxmalloc(nparts*nparts, "AllocateWorkSpace: pmat"); - - /* Memory requirements for different phases are identical to KMETIS */ - ctrl->wspace.maxcore = 3*(graph->nvtxs+1) + /* Match/Refinement vectors */ - 3*(nparts+1) + /* Partition weights etc */ - graph->nvtxs*(sizeof(ListNodeType)/sizeof(idxtype)) + /* Greedy k-way balance/refine */ - 20 /* padding for 64 bit machines */ - ; - } - else { - ctrl->wspace.edegrees = (EDegreeType *)idxmalloc(graph->nedges, "AllocateWorkSpace: edegrees"); - ctrl->wspace.vedegrees = NULL; - ctrl->wspace.auxcore = (idxtype *)ctrl->wspace.edegrees; - - ctrl->wspace.maxcore = 5*(graph->nvtxs+1) + /* Refinement vectors */ - 4*(nparts+1) + /* Partition weights etc */ - 2*graph->ncon*graph->nvtxs*(sizeof(ListNodeType)/sizeof(idxtype)) + /* 2-way refinement */ - 2*graph->ncon*(NEG_GAINSPAN+PLUS_GAINSPAN+1)*(sizeof(ListNodeType *)/sizeof(idxtype)) + /* 2-way refinement */ - 20 /* padding for 64 bit machines */ - ; - } - - ctrl->wspace.maxcore += HTLENGTH; - ctrl->wspace.core = idxmalloc(ctrl->wspace.maxcore, "AllocateWorkSpace: maxcore"); - ctrl->wspace.ccore = 0; -} - - -/************************************************************************* -* This function allocates memory for the workspace -**************************************************************************/ -void FreeWorkSpace(CtrlType *ctrl, GraphType *graph) -{ - GKfree(&ctrl->wspace.edegrees, &ctrl->wspace.vedegrees, &ctrl->wspace.core, &ctrl->wspace.pmat, LTERM); -} - -/************************************************************************* -* This function returns how may words are left in the workspace -**************************************************************************/ -int WspaceAvail(CtrlType *ctrl) -{ - return ctrl->wspace.maxcore - ctrl->wspace.ccore; -} - - -/************************************************************************* -* This function allocate space from the core -**************************************************************************/ -idxtype *idxwspacemalloc(CtrlType *ctrl, int n) -{ - n += n%2; /* This is a fix for 64 bit machines that require 8-byte pointer allignment */ - - ctrl->wspace.ccore += n; - ASSERT(ctrl->wspace.ccore <= ctrl->wspace.maxcore); - return ctrl->wspace.core + ctrl->wspace.ccore - n; -} - -/************************************************************************* -* This function frees space from the core -**************************************************************************/ -void idxwspacefree(CtrlType *ctrl, int n) -{ - n += n%2; /* This is a fix for 64 bit machines that require 8-byte pointer allignment */ - - ctrl->wspace.ccore -= n; - ASSERT(ctrl->wspace.ccore >= 0); -} - - -/************************************************************************* -* This function allocate space from the core -**************************************************************************/ -float *fwspacemalloc(CtrlType *ctrl, int n) -{ - n += n%2; /* This is a fix for 64 bit machines that require 8-byte pointer allignment */ - - ctrl->wspace.ccore += n; - ASSERT(ctrl->wspace.ccore <= ctrl->wspace.maxcore); - return (float *) (ctrl->wspace.core + ctrl->wspace.ccore - n); -} - -/************************************************************************* -* This function frees space from the core -**************************************************************************/ -void fwspacefree(CtrlType *ctrl, int n) -{ - n += n%2; /* This is a fix for 64 bit machines that require 8-byte pointer allignment */ - - ctrl->wspace.ccore -= n; - ASSERT(ctrl->wspace.ccore >= 0); -} - - - -/************************************************************************* -* This function creates a CoarseGraphType data structure and initializes -* the various fields -**************************************************************************/ -GraphType *CreateGraph(void) -{ - GraphType *graph; - - graph = (GraphType *)GKmalloc(sizeof(GraphType), "CreateCoarseGraph: graph"); - - InitGraph(graph); - - return graph; -} - - -/************************************************************************* -* This function creates a CoarseGraphType data structure and initializes -* the various fields -**************************************************************************/ -void InitGraph(GraphType *graph) -{ - graph->gdata = graph->rdata = NULL; - - graph->nvtxs = graph->nedges = -1; - graph->mincut = graph->minvol = -1; - - graph->xadj = graph->vwgt = graph->adjncy = graph->adjwgt = NULL; - graph->adjwgtsum = NULL; - graph->label = NULL; - graph->cmap = NULL; - - graph->where = graph->pwgts = NULL; - graph->id = graph->ed = NULL; - graph->bndptr = graph->bndind = NULL; - graph->rinfo = NULL; - graph->vrinfo = NULL; - graph->nrinfo = NULL; - - graph->ncon = -1; - graph->nvwgt = NULL; - graph->npwgts = NULL; - - graph->vsize = NULL; - - graph->coarser = graph->finer = NULL; - -} - -/************************************************************************* -* This function deallocates any memory stored in a graph -**************************************************************************/ -void FreeGraph(GraphType *graph) -{ - - GKfree(&graph->gdata, &graph->nvwgt, &graph->rdata, &graph->npwgts, LTERM); - free(graph); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mesh.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mesh.c deleted file mode 100644 index 3d93628..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mesh.c +++ /dev/null @@ -1,399 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mesh.c - * - * This file contains routines for converting 3D and 4D finite element - * meshes into dual or nodal graphs - * - * Started 8/18/97 - * George - * - * $Id: mesh.c,v 1.2 2003/07/22 20:29:03 karypis Exp $ - * - */ - -#include <metis.h> - -/***************************************************************************** -* This function creates a graph corresponding to the dual of a finite element -* mesh. At this point the supported elements are triangles, tetrahedrons, and -* bricks. -******************************************************************************/ -void METIS_MeshToDual(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, - idxtype *dxadj, idxtype *dadjncy) -{ - int esizes[] = {-1, 3, 4, 8, 4}; - - if (*numflag == 1) - ChangeMesh2CNumbering((*ne)*esizes[*etype], elmnts); - - GENDUALMETIS(*ne, *nn, *etype, elmnts, dxadj, dadjncy); - - if (*numflag == 1) - ChangeMesh2FNumbering((*ne)*esizes[*etype], elmnts, *ne, dxadj, dadjncy); -} - - -/***************************************************************************** -* This function creates a graph corresponding to the finite element mesh. -* At this point the supported elements are triangles, tetrahedrons. -******************************************************************************/ -void METIS_MeshToNodal(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, - idxtype *dxadj, idxtype *dadjncy) -{ - int esizes[] = {-1, 3, 4, 8, 4}; - - if (*numflag == 1) - ChangeMesh2CNumbering((*ne)*esizes[*etype], elmnts); - - switch (*etype) { - case 1: - TRINODALMETIS(*ne, *nn, elmnts, dxadj, dadjncy); - break; - case 2: - TETNODALMETIS(*ne, *nn, elmnts, dxadj, dadjncy); - break; - case 3: - HEXNODALMETIS(*ne, *nn, elmnts, dxadj, dadjncy); - break; - case 4: - QUADNODALMETIS(*ne, *nn, elmnts, dxadj, dadjncy); - break; - } - - if (*numflag == 1) - ChangeMesh2FNumbering((*ne)*esizes[*etype], elmnts, *nn, dxadj, dadjncy); -} - - - -/***************************************************************************** -* This function creates the dual of a finite element mesh -******************************************************************************/ -void GENDUALMETIS(int nelmnts, int nvtxs, int etype, idxtype *elmnts, idxtype *dxadj, - idxtype *dadjncy) -{ - int i, j, jj, k, kk, kkk, l, m, n, nedges, mask; - idxtype *nptr, *nind; - idxtype *mark, ind[200], wgt[200]; - int esize, esizes[] = {-1, 3, 4, 8, 4}, - mgcnum, mgcnums[] = {-1, 2, 3, 4, 2}; - - mask = (1<<11)-1; - mark = idxsmalloc(mask+1, -1, "GENDUALMETIS: mark"); - - /* Get the element size and magic number for the particular element */ - esize = esizes[etype]; - mgcnum = mgcnums[etype]; - - /* Construct the node-element list first */ - nptr = idxsmalloc(nvtxs+1, 0, "GENDUALMETIS: nptr"); - for (j=esize*nelmnts, i=0; i<j; i++) - nptr[elmnts[i]]++; - MAKECSR(i, nvtxs, nptr); - - nind = idxmalloc(nptr[nvtxs], "GENDUALMETIS: nind"); - for (k=i=0; i<nelmnts; i++) { - for (j=0; j<esize; j++, k++) - nind[nptr[elmnts[k]]++] = i; - } - for (i=nvtxs; i>0; i--) - nptr[i] = nptr[i-1]; - nptr[0] = 0; - - for (i=0; i<nelmnts; i++) - dxadj[i] = esize*i; - - for (i=0; i<nelmnts; i++) { - for (m=j=0; j<esize; j++) { - n = elmnts[esize*i+j]; - for (k=nptr[n+1]-1; k>=nptr[n]; k--) { - if ((kk = nind[k]) <= i) - break; - - kkk = kk&mask; - if ((l = mark[kkk]) == -1) { - ind[m] = kk; - wgt[m] = 1; - mark[kkk] = m++; - } - else if (ind[l] == kk) { - wgt[l]++; - } - else { - for (jj=0; jj<m; jj++) { - if (ind[jj] == kk) { - wgt[jj]++; - break; - } - } - if (jj == m) { - ind[m] = kk; - wgt[m++] = 1; - } - } - } - } - for (j=0; j<m; j++) { - if (wgt[j] == mgcnum) { - k = ind[j]; - dadjncy[dxadj[i]++] = k; - dadjncy[dxadj[k]++] = i; - } - mark[ind[j]&mask] = -1; - } - } - - /* Go and consolidate the dxadj and dadjncy */ - for (j=i=0; i<nelmnts; i++) { - for (k=esize*i; k<dxadj[i]; k++, j++) - dadjncy[j] = dadjncy[k]; - dxadj[i] = j; - } - for (i=nelmnts; i>0; i--) - dxadj[i] = dxadj[i-1]; - dxadj[0] = 0; - - free(mark); - free(nptr); - free(nind); - -} - - - - -/***************************************************************************** -* This function creates the nodal graph of a finite element mesh -******************************************************************************/ -void TRINODALMETIS(int nelmnts, int nvtxs, idxtype *elmnts, idxtype *dxadj, idxtype *dadjncy) -{ - int i, j, jj, k, kk, kkk, l, m, n, nedges; - idxtype *nptr, *nind; - idxtype *mark; - - /* Construct the node-element list first */ - nptr = idxsmalloc(nvtxs+1, 0, "TRINODALMETIS: nptr"); - for (j=3*nelmnts, i=0; i<j; i++) - nptr[elmnts[i]]++; - MAKECSR(i, nvtxs, nptr); - - nind = idxmalloc(nptr[nvtxs], "TRINODALMETIS: nind"); - for (k=i=0; i<nelmnts; i++) { - for (j=0; j<3; j++, k++) - nind[nptr[elmnts[k]]++] = i; - } - for (i=nvtxs; i>0; i--) - nptr[i] = nptr[i-1]; - nptr[0] = 0; - - - mark = idxsmalloc(nvtxs, -1, "TRINODALMETIS: mark"); - - nedges = dxadj[0] = 0; - for (i=0; i<nvtxs; i++) { - mark[i] = i; - for (j=nptr[i]; j<nptr[i+1]; j++) { - for (jj=3*nind[j], k=0; k<3; k++, jj++) { - kk = elmnts[jj]; - if (mark[kk] != i) { - mark[kk] = i; - dadjncy[nedges++] = kk; - } - } - } - dxadj[i+1] = nedges; - } - - free(mark); - free(nptr); - free(nind); - -} - - -/***************************************************************************** -* This function creates the nodal graph of a finite element mesh -******************************************************************************/ -void TETNODALMETIS(int nelmnts, int nvtxs, idxtype *elmnts, idxtype *dxadj, idxtype *dadjncy) -{ - int i, j, jj, k, kk, kkk, l, m, n, nedges; - idxtype *nptr, *nind; - idxtype *mark; - - /* Construct the node-element list first */ - nptr = idxsmalloc(nvtxs+1, 0, "TETNODALMETIS: nptr"); - for (j=4*nelmnts, i=0; i<j; i++) - nptr[elmnts[i]]++; - MAKECSR(i, nvtxs, nptr); - - nind = idxmalloc(nptr[nvtxs], "TETNODALMETIS: nind"); - for (k=i=0; i<nelmnts; i++) { - for (j=0; j<4; j++, k++) - nind[nptr[elmnts[k]]++] = i; - } - for (i=nvtxs; i>0; i--) - nptr[i] = nptr[i-1]; - nptr[0] = 0; - - - mark = idxsmalloc(nvtxs, -1, "TETNODALMETIS: mark"); - - nedges = dxadj[0] = 0; - for (i=0; i<nvtxs; i++) { - mark[i] = i; - for (j=nptr[i]; j<nptr[i+1]; j++) { - for (jj=4*nind[j], k=0; k<4; k++, jj++) { - kk = elmnts[jj]; - if (mark[kk] != i) { - mark[kk] = i; - dadjncy[nedges++] = kk; - } - } - } - dxadj[i+1] = nedges; - } - - free(mark); - free(nptr); - free(nind); - -} - - -/***************************************************************************** -* This function creates the nodal graph of a finite element mesh -******************************************************************************/ -void HEXNODALMETIS(int nelmnts, int nvtxs, idxtype *elmnts, idxtype *dxadj, idxtype *dadjncy) -{ - int i, j, jj, k, kk, kkk, l, m, n, nedges; - idxtype *nptr, *nind; - idxtype *mark; - int table[8][3] = {1, 3, 4, - 0, 2, 5, - 1, 3, 6, - 0, 2, 7, - 0, 5, 7, - 1, 4, 6, - 2, 5, 7, - 3, 4, 6}; - - /* Construct the node-element list first */ - nptr = idxsmalloc(nvtxs+1, 0, "HEXNODALMETIS: nptr"); - for (j=8*nelmnts, i=0; i<j; i++) - nptr[elmnts[i]]++; - MAKECSR(i, nvtxs, nptr); - - nind = idxmalloc(nptr[nvtxs], "HEXNODALMETIS: nind"); - for (k=i=0; i<nelmnts; i++) { - for (j=0; j<8; j++, k++) - nind[nptr[elmnts[k]]++] = i; - } - for (i=nvtxs; i>0; i--) - nptr[i] = nptr[i-1]; - nptr[0] = 0; - - - mark = idxsmalloc(nvtxs, -1, "HEXNODALMETIS: mark"); - - nedges = dxadj[0] = 0; - for (i=0; i<nvtxs; i++) { - mark[i] = i; - for (j=nptr[i]; j<nptr[i+1]; j++) { - jj=8*nind[j]; - for (k=0; k<8; k++) { - if (elmnts[jj+k] == i) - break; - } - ASSERT(k != 8); - - /* You found the index, now go and put the 3 neighbors */ - kk = elmnts[jj+table[k][0]]; - if (mark[kk] != i) { - mark[kk] = i; - dadjncy[nedges++] = kk; - } - kk = elmnts[jj+table[k][1]]; - if (mark[kk] != i) { - mark[kk] = i; - dadjncy[nedges++] = kk; - } - kk = elmnts[jj+table[k][2]]; - if (mark[kk] != i) { - mark[kk] = i; - dadjncy[nedges++] = kk; - } - } - dxadj[i+1] = nedges; - } - - free(mark); - free(nptr); - free(nind); - -} - - -/***************************************************************************** -* This function creates the nodal graph of a finite element mesh -******************************************************************************/ -void QUADNODALMETIS(int nelmnts, int nvtxs, idxtype *elmnts, idxtype *dxadj, idxtype *dadjncy) -{ - int i, j, jj, k, kk, kkk, l, m, n, nedges; - idxtype *nptr, *nind; - idxtype *mark; - int table[4][2] = {1, 3, - 0, 2, - 1, 3, - 0, 2}; - - /* Construct the node-element list first */ - nptr = idxsmalloc(nvtxs+1, 0, "QUADNODALMETIS: nptr"); - for (j=4*nelmnts, i=0; i<j; i++) - nptr[elmnts[i]]++; - MAKECSR(i, nvtxs, nptr); - - nind = idxmalloc(nptr[nvtxs], "QUADNODALMETIS: nind"); - for (k=i=0; i<nelmnts; i++) { - for (j=0; j<4; j++, k++) - nind[nptr[elmnts[k]]++] = i; - } - for (i=nvtxs; i>0; i--) - nptr[i] = nptr[i-1]; - nptr[0] = 0; - - - mark = idxsmalloc(nvtxs, -1, "QUADNODALMETIS: mark"); - - nedges = dxadj[0] = 0; - for (i=0; i<nvtxs; i++) { - mark[i] = i; - for (j=nptr[i]; j<nptr[i+1]; j++) { - jj=4*nind[j]; - for (k=0; k<4; k++) { - if (elmnts[jj+k] == i) - break; - } - ASSERT(k != 4); - - /* You found the index, now go and put the 2 neighbors */ - kk = elmnts[jj+table[k][0]]; - if (mark[kk] != i) { - mark[kk] = i; - dadjncy[nedges++] = kk; - } - kk = elmnts[jj+table[k][1]]; - if (mark[kk] != i) { - mark[kk] = i; - dadjncy[nedges++] = kk; - } - } - dxadj[i+1] = nedges; - } - - free(mark); - free(nptr); - free(nind); - -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/meshpart.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/meshpart.c deleted file mode 100644 index 4ca3a2a..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/meshpart.c +++ /dev/null @@ -1,204 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * meshpart.c - * - * This file contains routines for partitioning finite element meshes. - * - * Started 9/29/97 - * George - * - * $Id: meshpart.c,v 1.1 2003/07/16 15:55:08 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function partitions a finite element mesh by partitioning its nodal -* graph using KMETIS and then assigning elements in a load balanced fashion. -**************************************************************************/ -void METIS_PartMeshNodal(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, - int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - int i, j, k, me; - idxtype *xadj, *adjncy, *pwgts; - int options[10], pnumflag=0, wgtflag=0; - int nnbrs, nbrind[200], nbrwgt[200], maxpwgt; - int esize, esizes[] = {-1, 3, 4, 8, 4}; - - esize = esizes[*etype]; - - if (*numflag == 1) - ChangeMesh2CNumbering((*ne)*esize, elmnts); - - xadj = idxmalloc(*nn+1, "METIS_MESHPARTNODAL: xadj"); - adjncy = idxmalloc(20*(*nn), "METIS_MESHPARTNODAL: adjncy"); - - METIS_MeshToNodal(ne, nn, elmnts, etype, &pnumflag, xadj, adjncy); - - adjncy = realloc(adjncy, xadj[*nn]*sizeof(idxtype)); - - options[0] = 0; - METIS_PartGraphKway(nn, xadj, adjncy, NULL, NULL, &wgtflag, &pnumflag, nparts, options, edgecut, npart); - - /* OK, now compute an element partition based on the nodal partition npart */ - idxset(*ne, -1, epart); - pwgts = idxsmalloc(*nparts, 0, "METIS_MESHPARTNODAL: pwgts"); - for (i=0; i<*ne; i++) { - me = npart[elmnts[i*esize]]; - for (j=1; j<esize; j++) { - if (npart[elmnts[i*esize+j]] != me) - break; - } - if (j == esize) { - epart[i] = me; - pwgts[me]++; - } - } - - maxpwgt = 1.03*(*ne)/(*nparts); - for (i=0; i<*ne; i++) { - if (epart[i] == -1) { /* Assign the boundary element */ - nnbrs = 0; - for (j=0; j<esize; j++) { - me = npart[elmnts[i*esize+j]]; - for (k=0; k<nnbrs; k++) { - if (nbrind[k] == me) { - nbrwgt[k]++; - break; - } - } - if (k == nnbrs) { - nbrind[nnbrs] = me; - nbrwgt[nnbrs++] = 1; - } - } - /* Try to assign it first to the domain with most things in common */ - j = iamax(nnbrs, nbrwgt); - if (pwgts[nbrind[j]] < maxpwgt) { - epart[i] = nbrind[j]; - } - else { - /* If that fails, assign it to a light domain */ - for (j=0; j<nnbrs; j++) { - if (pwgts[nbrind[j]] < maxpwgt) { - epart[i] = nbrind[j]; - break; - } - } - if (j == nnbrs) - epart[i] = nbrind[iamax(nnbrs, nbrwgt)]; - } - pwgts[epart[i]]++; - } - } - - if (*numflag == 1) - ChangeMesh2FNumbering2((*ne)*esize, elmnts, *ne, *nn, epart, npart); - - GKfree(&xadj, &adjncy, &pwgts, LTERM); - -} - - -/************************************************************************* -* This function partitions a finite element mesh by partitioning its dual -* graph using KMETIS and then assigning nodes in a load balanced fashion. -**************************************************************************/ -void METIS_PartMeshDual(int *ne, int *nn, idxtype *elmnts, int *etype, int *numflag, - int *nparts, int *edgecut, idxtype *epart, idxtype *npart) -{ - int i, j, k, me; - idxtype *xadj, *adjncy, *pwgts, *nptr, *nind; - int options[10], pnumflag=0, wgtflag=0; - int nnbrs, nbrind[200], nbrwgt[200], maxpwgt; - int esize, esizes[] = {-1, 3, 4, 8, 4}; - - esize = esizes[*etype]; - - if (*numflag == 1) - ChangeMesh2CNumbering((*ne)*esize, elmnts); - - xadj = idxmalloc(*ne+1, "METIS_MESHPARTNODAL: xadj"); - adjncy = idxmalloc(esize*(*ne), "METIS_MESHPARTNODAL: adjncy"); - - METIS_MeshToDual(ne, nn, elmnts, etype, &pnumflag, xadj, adjncy); - - options[0] = 0; - METIS_PartGraphKway(ne, xadj, adjncy, NULL, NULL, &wgtflag, &pnumflag, nparts, options, edgecut, epart); - - /* Construct the node-element list */ - nptr = idxsmalloc(*nn+1, 0, "METIS_MESHPARTDUAL: nptr"); - for (j=esize*(*ne), i=0; i<j; i++) - nptr[elmnts[i]]++; - MAKECSR(i, *nn, nptr); - - nind = idxmalloc(nptr[*nn], "METIS_MESHPARTDUAL: nind"); - for (k=i=0; i<(*ne); i++) { - for (j=0; j<esize; j++, k++) - nind[nptr[elmnts[k]]++] = i; - } - for (i=(*nn); i>0; i--) - nptr[i] = nptr[i-1]; - nptr[0] = 0; - - - /* OK, now compute a nodal partition based on the element partition npart */ - idxset(*nn, -1, npart); - pwgts = idxsmalloc(*nparts, 0, "METIS_MESHPARTDUAL: pwgts"); - for (i=0; i<*nn; i++) { - me = epart[nind[nptr[i]]]; - for (j=nptr[i]+1; j<nptr[i+1]; j++) { - if (epart[nind[j]] != me) - break; - } - if (j == nptr[i+1]) { - npart[i] = me; - pwgts[me]++; - } - } - - maxpwgt = 1.03*(*nn)/(*nparts); - for (i=0; i<*nn; i++) { - if (npart[i] == -1) { /* Assign the boundary element */ - nnbrs = 0; - for (j=nptr[i]; j<nptr[i+1]; j++) { - me = epart[nind[j]]; - for (k=0; k<nnbrs; k++) { - if (nbrind[k] == me) { - nbrwgt[k]++; - break; - } - } - if (k == nnbrs) { - nbrind[nnbrs] = me; - nbrwgt[nnbrs++] = 1; - } - } - /* Try to assign it first to the domain with most things in common */ - j = iamax(nnbrs, nbrwgt); - if (pwgts[nbrind[j]] < maxpwgt) { - npart[i] = nbrind[j]; - } - else { - /* If that fails, assign it to a light domain */ - npart[i] = nbrind[0]; - for (j=0; j<nnbrs; j++) { - if (pwgts[nbrind[j]] < maxpwgt) { - npart[i] = nbrind[j]; - break; - } - } - } - pwgts[npart[i]]++; - } - } - - if (*numflag == 1) - ChangeMesh2FNumbering2((*ne)*esize, elmnts, *ne, *nn, epart, npart); - - GKfree(&xadj, &adjncy, &pwgts, &nptr, &nind, LTERM); - -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/metis.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/metis.h deleted file mode 100644 index b655d90..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/metis.h +++ /dev/null @@ -1,31 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * metis.h - * - * This file includes all necessary header files - * - * Started 8/27/94 - * George - * - * $Id: metis.h,v 1.3 2003/07/25 13:52:00 karypis Exp $ - */ - -/* -#define DEBUG 1 -#define DMALLOC 1 -*/ - -#include <stdheaders.h> - -#ifdef DMALLOC -#include <dmalloc.h> -#endif - -#include "../parmetis.h" /* Get the idxtype definition */ -#include <defs.h> -#include <struct.h> -#include <macros.h> -#include <rename.h> -#include <proto.h> - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm.c deleted file mode 100644 index d0047e5..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm.c +++ /dev/null @@ -1,341 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mfm.c - * - * This file contains code that implements the edge-based FM refinement - * - * Started 7/23/97 - * George - * - * $Id: mfm.c,v 1.1 2003/07/24 18:39:09 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void MocFM_2WayEdgeRefine(CtrlType *ctrl, GraphType *graph, float *tpwgts, int npasses) -{ - int i, ii, j, k, l, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, me, limit, tmp, cnum; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *moved, *swaps, *perm, *qnum; - float *nvwgt, *npwgts, mindiff[MAXNCON], origbal, minbal, newbal; - PQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut, initcut, newcut, mincutorder; - float rtpwgts[2]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - npwgts = graph->npwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - qnum = idxwspacemalloc(ctrl, nvtxs); - - limit = amin(amax(0.01*nvtxs, 25), 150); - - /* Initialize the queues */ - for (i=0; i<ncon; i++) { - PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1); - PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1); - } - for (i=0; i<nvtxs; i++) - qnum[i] = samax(ncon, nvwgt+i*ncon); - - origbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - rtpwgts[0] = origbal*tpwgts[0]; - rtpwgts[1] = origbal*tpwgts[1]; - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Parts: ["); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f\n", tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut, origbal); - } - - idxset(nvtxs, -1, moved); - for (pass=0; pass<npasses; pass++) { /* Do a number of passes */ - for (i=0; i<ncon; i++) { - PQueueReset(&parts[i][0]); - PQueueReset(&parts[i][1]); - } - - mincutorder = -1; - newcut = mincut = initcut = graph->mincut; - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[0]-npwgts[i]); - minbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - /* Insert boundary nodes in the priority queues */ - nbnd = graph->nbnd; - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - ASSERT(ed[i] > 0 || id[i] == 0); - ASSERT(bndptr[i] != -1); - PQueueInsert(&parts[qnum[i]][where[i]], i, ed[i]-id[i]); - } - - for (nswaps=0; nswaps<nvtxs; nswaps++) { - SelectQueue(ncon, npwgts, rtpwgts, &from, &cnum, parts); - to = (from+1)%2; - - if (from == -1 || (higain = PQueueGetMax(&parts[cnum][from])) == -1) - break; - ASSERT(bndptr[higain] != -1); - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - - newcut -= (ed[higain]-id[higain]); - newbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - if ((newcut < mincut && newbal-origbal <= .00001) || - (newcut == mincut && (newbal < minbal || - (newbal == minbal && BetterBalance(ncon, npwgts, tpwgts, mindiff))))) { - mincut = newcut; - minbal = newbal; - mincutorder = nswaps; - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[0]-npwgts[i]); - } - else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */ - newcut += (ed[higain]-id[higain]); - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - break; - } - - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - if (ctrl->dbglvl&DBG_MOVEINFO) { - printf("Moved %6d from %d(%d). Gain: %5d, Cut: %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], newcut); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf(", %.3f LB: %.3f\n", minbal, newbal); - } - - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update its boundary information and queue position */ - if (bndptr[k] != -1) { /* If k was a boundary vertex */ - if (ed[k] == 0) { /* Not a boundary vertex any more */ - BNDDelete(nbnd, bndind, bndptr, k); - if (moved[k] == -1) /* Remove it if in the queues */ - PQueueDelete(&parts[qnum[k]][where[k]], k, oldgain); - } - else { /* If it has not been moved, update its position in the queue */ - if (moved[k] == -1) - PQueueUpdate(&parts[qnum[k]][where[k]], k, oldgain, ed[k]-id[k]); - } - } - else { - if (ed[k] > 0) { /* It will now become a boundary vertex */ - BNDInsert(nbnd, bndind, bndptr, k); - if (moved[k] == -1) - PQueueInsert(&parts[qnum[k]][where[k]], k, ed[k]-id[k]); - } - } - } - - } - - - /**************************************************************** - * Roll back computations - *****************************************************************/ - for (i=0; i<nswaps; i++) - moved[swaps[i]] = -1; /* reset moved array */ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - to = where[higain] = (where[higain]+1)%2; - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - else if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1); - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - if (bndptr[k] != -1 && ed[k] == 0) - BNDDelete(nbnd, bndind, bndptr, k); - if (bndptr[k] == -1 && ed[k] > 0) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\tMincut: %6d at %5d, NBND: %6d, NPwgts: [", mincut, mincutorder, nbnd); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("], LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts)); - } - - graph->mincut = mincut; - graph->nbnd = nbnd; - - if (mincutorder == -1 || mincut == initcut) - break; - } - - for (i=0; i<ncon; i++) { - PQueueFree(ctrl, &parts[i][0]); - PQueueFree(ctrl, &parts[i][1]); - } - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - -} - - -/************************************************************************* -* This function selects the partition number and the queue from which -* we will move vertices out -**************************************************************************/ -void SelectQueue(int ncon, float *npwgts, float *tpwgts, int *from, int *cnum, PQueueType queues[MAXNCON][2]) -{ - int i, part, maxgain=0; - float max, maxdiff=0.0; - - *from = -1; - *cnum = -1; - - /* First determine the side and the queue, irrespective of the presence of nodes */ - for (part=0; part<2; part++) { - for (i=0; i<ncon; i++) { - if (npwgts[part*ncon+i]-tpwgts[part] >= maxdiff) { - maxdiff = npwgts[part*ncon+i]-tpwgts[part]; - *from = part; - *cnum = i; - } - } - } - - /* printf("Selected %d(%d) -> %d\n", *from, *cnum, PQueueGetSize(&queues[*cnum][*from])); */ - - if (*from != -1 && PQueueGetSize(&queues[*cnum][*from]) == 0) { - /* The desired queue is empty, select a node from that side anyway */ - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][*from]) > 0) { - max = npwgts[(*from)*ncon + i]; - *cnum = i; - break; - } - } - - for (i++; i<ncon; i++) { - if (npwgts[(*from)*ncon + i] > max && PQueueGetSize(&queues[i][*from]) > 0) { - max = npwgts[(*from)*ncon + i]; - *cnum = i; - } - } - } - - /* Check to see if you can focus on the cut */ - if (maxdiff <= 0.0 || *from == -1) { - maxgain = -100000; - - for (part=0; part<2; part++) { - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][part]) > 0 && PQueueGetKey(&queues[i][part]) > maxgain) { - maxgain = PQueueGetKey(&queues[i][part]); - *from = part; - *cnum = i; - } - } - } - } -} - - - - - -/************************************************************************* -* This function checks if the balance achieved is better than the diff -* For now, it uses a 2-norm measure -**************************************************************************/ -int BetterBalance(int ncon, float *npwgts, float *tpwgts, float *diff) -{ - int i; - float ndiff[MAXNCON]; - - for (i=0; i<ncon; i++) - ndiff[i] = fabs(tpwgts[0]-npwgts[i]); - - return snorm2(ncon, ndiff) < snorm2(ncon, diff); -} - - - -/************************************************************************* -* This function computes the load imbalance over all the constrains -**************************************************************************/ -float Compute2WayHLoadImbalance(int ncon, float *npwgts, float *tpwgts) -{ - int i; - float max=0.0, temp; - - for (i=0; i<ncon; i++) { - /* temp = amax(npwgts[i]/tpwgts[0], npwgts[ncon+i]/tpwgts[1]); */ - temp = fabs(tpwgts[0]-npwgts[i])/tpwgts[0]; - max = (max < temp ? temp : max); - } - return 1.0+max; -} - - -/************************************************************************* -* This function computes the load imbalance over all the constrains -* For now assume that we just want balanced partitionings -**************************************************************************/ -void Compute2WayHLoadImbalanceVec(int ncon, float *npwgts, float *tpwgts, float *lbvec) -{ - int i; - - for (i=0; i<ncon; i++) - lbvec[i] = 1.0 + fabs(tpwgts[0]-npwgts[i])/tpwgts[0]; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm2.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm2.c deleted file mode 100644 index ce4eb8b..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mfm2.c +++ /dev/null @@ -1,349 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mfm2.c - * - * This file contains code that implements the edge-based FM refinement - * - * Started 7/23/97 - * George - * - * $Id: mfm2.c,v 1.1 2003/07/16 15:55:09 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void MocFM_2WayEdgeRefine2(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *orgubvec, - int npasses) -{ - int i, ii, j, k, l, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, me, limit, tmp, cnum; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *moved, *swaps, *perm, *qnum; - float *nvwgt, *npwgts, origdiff[MAXNCON], origbal[MAXNCON], minbal[MAXNCON]; - PQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut, initcut, newcut, mincutorder; - float *maxwgt, *minwgt, ubvec[MAXNCON], tvec[MAXNCON]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - npwgts = graph->npwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - qnum = idxwspacemalloc(ctrl, nvtxs); - - limit = amin(amax(0.01*nvtxs, 15), 100); - - Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, origbal); - for (i=0; i<ncon; i++) { - origdiff[i] = fabs(tpwgts[0]-npwgts[i]); - ubvec[i] = amax(origbal[i], orgubvec[i]); - } - - /* Setup the weight intervals of the two subdomains */ - minwgt = fwspacemalloc(ctrl, 2*ncon); - maxwgt = fwspacemalloc(ctrl, 2*ncon); - - for (i=0; i<2; i++) { - for (j=0; j<ncon; j++) { - maxwgt[i*ncon+j] = tpwgts[i]*ubvec[j]; - minwgt[i*ncon+j] = tpwgts[i]*(1.0/ubvec[j]); - } - } - - /* Initialize the queues */ - for (i=0; i<ncon; i++) { - PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1); - PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1); - } - for (i=0; i<nvtxs; i++) - qnum[i] = samax(ncon, nvwgt+i*ncon); - - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Parts: ["); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: ", tpwgts[0], tpwgts[1], - graph->nvtxs, graph->nbnd, graph->mincut); - for (i=0; i<ncon; i++) - printf("%.3f ", origbal[i]); - printf("\n"); - } - - idxset(nvtxs, -1, moved); - for (pass=0; pass<npasses; pass++) { /* Do a number of passes */ - for (i=0; i<ncon; i++) { - PQueueReset(&parts[i][0]); - PQueueReset(&parts[i][1]); - } - - mincutorder = -1; - newcut = mincut = initcut = graph->mincut; - Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, minbal); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - /* Insert boundary nodes in the priority queues */ - nbnd = graph->nbnd; - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - ASSERT(ed[i] > 0 || id[i] == 0); - ASSERT(bndptr[i] != -1); - PQueueInsert(&parts[qnum[i]][where[i]], i, ed[i]-id[i]); - } - - for (nswaps=0; nswaps<nvtxs; nswaps++) { - SelectQueue2(ncon, npwgts, tpwgts, &from, &cnum, parts, maxwgt); - to = (from+1)%2; - - if (from == -1 || (higain = PQueueGetMax(&parts[cnum][from])) == -1) - break; - ASSERT(bndptr[higain] != -1); - - newcut -= (ed[higain]-id[higain]); - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - - Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, tvec); - if ((newcut < mincut && AreAllBelow(ncon, tvec, ubvec)) || - (newcut == mincut && IsBetter2wayBalance(ncon, tvec, minbal, ubvec))) { - mincut = newcut; - for (i=0; i<ncon; i++) - minbal[i] = tvec[i]; - mincutorder = nswaps; - } - else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */ - newcut += (ed[higain]-id[higain]); - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - break; - } - - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - if (ctrl->dbglvl&DBG_MOVEINFO) { - printf("Moved %6d from %d(%d). Gain: %5d, Cut: %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], newcut); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - - printf(", LB: "); - for (i=0; i<ncon; i++) - printf("%.3f ", tvec[i]); - if (mincutorder == nswaps) - printf(" *\n"); - else - printf("\n"); - } - - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update its boundary information and queue position */ - if (bndptr[k] != -1) { /* If k was a boundary vertex */ - if (ed[k] == 0) { /* Not a boundary vertex any more */ - BNDDelete(nbnd, bndind, bndptr, k); - if (moved[k] == -1) /* Remove it if in the queues */ - PQueueDelete(&parts[qnum[k]][where[k]], k, oldgain); - } - else { /* If it has not been moved, update its position in the queue */ - if (moved[k] == -1) - PQueueUpdate(&parts[qnum[k]][where[k]], k, oldgain, ed[k]-id[k]); - } - } - else { - if (ed[k] > 0) { /* It will now become a boundary vertex */ - BNDInsert(nbnd, bndind, bndptr, k); - if (moved[k] == -1) - PQueueInsert(&parts[qnum[k]][where[k]], k, ed[k]-id[k]); - } - } - } - - } - - - /**************************************************************** - * Roll back computations - *****************************************************************/ - for (i=0; i<nswaps; i++) - moved[swaps[i]] = -1; /* reset moved array */ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - to = where[higain] = (where[higain]+1)%2; - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - else if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1); - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - if (bndptr[k] != -1 && ed[k] == 0) - BNDDelete(nbnd, bndind, bndptr, k); - if (bndptr[k] == -1 && ed[k] > 0) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\tMincut: %6d at %5d, NBND: %6d, NPwgts: [", mincut, mincutorder, nbnd); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("], LB: "); - Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, tvec); - for (i=0; i<ncon; i++) - printf("%.3f ", tvec[i]); - printf("\n"); - } - - graph->mincut = mincut; - graph->nbnd = nbnd; - - if (mincutorder == -1 || mincut == initcut) - break; - } - - for (i=0; i<ncon; i++) { - PQueueFree(ctrl, &parts[i][0]); - PQueueFree(ctrl, &parts[i][1]); - } - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - fwspacefree(ctrl, 2*ncon); - fwspacefree(ctrl, 2*ncon); - -} - - -/************************************************************************* -* This function selects the partition number and the queue from which -* we will move vertices out -**************************************************************************/ -void SelectQueue2(int ncon, float *npwgts, float *tpwgts, int *from, int *cnum, - PQueueType queues[MAXNCON][2], float *maxwgt) -{ - int i, j, maxgain=0; - float diff, max, maxdiff=0.0; - - *from = -1; - *cnum = -1; - - /* First determine the side and the queue, irrespective of the presence of nodes */ - for (j=0; j<2; j++) { - for (i=0; i<ncon; i++) { - diff = npwgts[j*ncon+i]-maxwgt[j*ncon+i]; - if (diff >= maxdiff) { - maxdiff = diff; - *from = j; - *cnum = i; - } - } - } - - if (*from != -1 && PQueueGetSize(&queues[*cnum][*from]) == 0) { - /* The desired queue is empty, select a node from that side anyway */ - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][*from]) > 0) { - max = (npwgts[(*from)*ncon+i] - maxwgt[(*from)*ncon+i]); - *cnum = i; - break; - } - } - - for (i++; i<ncon; i++) { - diff = npwgts[(*from)*ncon+i] - maxwgt[(*from)*ncon+i]; - if (diff > max && PQueueGetSize(&queues[i][*from]) > 0) { - max = diff; - *cnum = i; - } - } - } - - /* Check to see if you can focus on the cut */ - if (maxdiff <= 0.0) { - maxgain = -100000; - - for (j=0; j<2; j++) { - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][j]) > 0 && PQueueGetKey(&queues[i][j]) > maxgain) { - maxgain = PQueueGetKey(&queues[i][j]); - *from = j; - *cnum = i; - } - } - } - - /* printf("(%2d %2d) %3d\n", *from, *cnum, maxgain); */ - } -} - - -/************************************************************************* -* This function checks if the newbal is better than oldbal given the -* ubvector ubvec -**************************************************************************/ -int IsBetter2wayBalance(int ncon, float *newbal, float *oldbal, float *ubvec) -{ - int i, j; - float max1=0.0, max2=0.0, sum1=0.0, sum2=0.0, tmp; - - for (i=0; i<ncon; i++) { - tmp = (newbal[i]-1)/(ubvec[i]-1); - max1 = (max1 < tmp ? tmp : max1); - sum1 += tmp; - - tmp = (oldbal[i]-1)/(ubvec[i]-1); - max2 = (max2 < tmp ? tmp : max2); - sum2 += tmp; - } - - if (max1 < max2) - return 1; - else if (max1 > max2) - return 0; - else - return sum1 <= sum2; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mincover.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mincover.c deleted file mode 100644 index 789022b..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mincover.c +++ /dev/null @@ -1,259 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mincover.c - * - * This file implements the minimum cover algorithm - * - * Started 8/1/97 - * George - * - * $Id: mincover.c,v 1.1 2003/07/16 15:55:09 karypis Exp $ - */ - -#include <metis.h> - -/************************************************************************* -* Constants used by mincover algorithm -**************************************************************************/ -#define INCOL 10 -#define INROW 20 -#define VC 1 -#define SC 2 -#define HC 3 -#define VR 4 -#define SR 5 -#define HR 6 - - -/************************************************************************* -* This function returns the min-cover of a bipartite graph. -* The algorithm used is due to Hopcroft and Karp as modified by Duff etal -* adj: the adjacency list of the bipartite graph -* asize: the number of vertices in the first part of the bipartite graph -* bsize-asize: the number of vertices in the second part -* 0..(asize-1) > A vertices -* asize..bsize > B vertices -* -* Returns: -* cover : the actual cover (array) -* csize : the size of the cover -**************************************************************************/ -void MinCover(idxtype *xadj, idxtype *adjncy, int asize, int bsize, idxtype *cover, int *csize) -{ - int i, j; - idxtype *mate, *queue, *flag, *level, *lst; - int fptr, rptr, lstptr; - int row, maxlevel, col; - - mate = idxsmalloc(bsize, -1, "MinCover: mate"); - flag = idxmalloc(bsize, "MinCover: flag"); - level = idxmalloc(bsize, "MinCover: level"); - queue = idxmalloc(bsize, "MinCover: queue"); - lst = idxmalloc(bsize, "MinCover: lst"); - - /* Get a cheap matching */ - for (i=0; i<asize; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (mate[adjncy[j]] == -1) { - mate[i] = adjncy[j]; - mate[adjncy[j]] = i; - break; - } - } - } - - /* Get into the main loop */ - while (1) { - /* Initialization */ - fptr = rptr = 0; /* Empty Queue */ - lstptr = 0; /* Empty List */ - for (i=0; i<bsize; i++) { - level[i] = -1; - flag[i] = 0; - } - maxlevel = bsize; - - /* Insert free nodes into the queue */ - for (i=0; i<asize; i++) - if (mate[i] == -1) { - queue[rptr++] = i; - level[i] = 0; - } - - /* Perform the BFS */ - while (fptr != rptr) { - row = queue[fptr++]; - if (level[row] < maxlevel) { - flag[row] = 1; - for (j=xadj[row]; j<xadj[row+1]; j++) { - col = adjncy[j]; - if (!flag[col]) { /* If this column has not been accessed yet */ - flag[col] = 1; - if (mate[col] == -1) { /* Free column node was found */ - maxlevel = level[row]; - lst[lstptr++] = col; - } - else { /* This column node is matched */ - if (flag[mate[col]]) - printf("\nSomething wrong, flag[%d] is 1",mate[col]); - queue[rptr++] = mate[col]; - level[mate[col]] = level[row] + 1; - } - } - } - } - } - - if (lstptr == 0) - break; /* No free columns can be reached */ - - /* Perform restricted DFS from the free column nodes */ - for (i=0; i<lstptr; i++) - MinCover_Augment(xadj, adjncy, lst[i], mate, flag, level, maxlevel); - } - - MinCover_Decompose(xadj, adjncy, asize, bsize, mate, cover, csize); - - GKfree(&mate, &flag, &level, &queue, &lst, LTERM); - -} - - -/************************************************************************* -* This function perfoms a restricted DFS and augments matchings -**************************************************************************/ -int MinCover_Augment(idxtype *xadj, idxtype *adjncy, int col, idxtype *mate, idxtype *flag, idxtype *level, int maxlevel) -{ - int i; - int row = -1; - int status; - - flag[col] = 2; - for (i=xadj[col]; i<xadj[col+1]; i++) { - row = adjncy[i]; - - if (flag[row] == 1) { /* First time through this row node */ - if (level[row] == maxlevel) { /* (col, row) is an edge of the G^T */ - flag[row] = 2; /* Mark this node as being visited */ - if (maxlevel != 0) - status = MinCover_Augment(xadj, adjncy, mate[row], mate, flag, level, maxlevel-1); - else - status = 1; - - if (status) { - mate[col] = row; - mate[row] = col; - return 1; - } - } - } - } - - return 0; -} - - - -/************************************************************************* -* This function performs a coarse decomposition and determines the -* min-cover. -* REF: Pothen ACMTrans. on Amth Software -**************************************************************************/ -void MinCover_Decompose(idxtype *xadj, idxtype *adjncy, int asize, int bsize, idxtype *mate, idxtype *cover, int *csize) -{ - int i, k; - idxtype *where; - int card[10]; - - where = idxmalloc(bsize, "MinCover_Decompose: where"); - for (i=0; i<10; i++) - card[i] = 0; - - for (i=0; i<asize; i++) - where[i] = SC; - for (; i<bsize; i++) - where[i] = SR; - - for (i=0; i<asize; i++) - if (mate[i] == -1) - MinCover_ColDFS(xadj, adjncy, i, mate, where, INCOL); - for (; i<bsize; i++) - if (mate[i] == -1) - MinCover_RowDFS(xadj, adjncy, i, mate, where, INROW); - - for (i=0; i<bsize; i++) - card[where[i]]++; - - k = 0; - if (abs(card[VC]+card[SC]-card[HR]) < abs(card[VC]-card[SR]-card[HR])) { /* S = VC+SC+HR */ - /* printf("%d %d ",vc+sc, hr); */ - for (i=0; i<bsize; i++) - if (where[i] == VC || where[i] == SC || where[i] == HR) - cover[k++] = i; - } - else { /* S = VC+SR+HR */ - /* printf("%d %d ",vc, hr+sr); */ - for (i=0; i<bsize; i++) - if (where[i] == VC || where[i] == SR || where[i] == HR) - cover[k++] = i; - } - - *csize = k; - free(where); - -} - - -/************************************************************************* -* This function perfoms a dfs starting from an unmatched col node -* forming alternate paths -**************************************************************************/ -void MinCover_ColDFS(idxtype *xadj, idxtype *adjncy, int root, idxtype *mate, idxtype *where, int flag) -{ - int i; - - if (flag == INCOL) { - if (where[root] == HC) - return; - where[root] = HC; - for (i=xadj[root]; i<xadj[root+1]; i++) - MinCover_ColDFS(xadj, adjncy, adjncy[i], mate, where, INROW); - } - else { - if (where[root] == HR) - return; - where[root] = HR; - if (mate[root] != -1) - MinCover_ColDFS(xadj, adjncy, mate[root], mate, where, INCOL); - } - -} - -/************************************************************************* -* This function perfoms a dfs starting from an unmatched col node -* forming alternate paths -**************************************************************************/ -void MinCover_RowDFS(idxtype *xadj, idxtype *adjncy, int root, idxtype *mate, idxtype *where, int flag) -{ - int i; - - if (flag == INROW) { - if (where[root] == VR) - return; - where[root] = VR; - for (i=xadj[root]; i<xadj[root+1]; i++) - MinCover_RowDFS(xadj, adjncy, adjncy[i], mate, where, INCOL); - } - else { - if (where[root] == VC) - return; - where[root] = VC; - if (mate[root] != -1) - MinCover_RowDFS(xadj, adjncy, mate[root], mate, where, INROW); - } - -} - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/minitpart.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/minitpart.c deleted file mode 100644 index 58dfcea..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/minitpart.c +++ /dev/null @@ -1,358 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * minitpart.c - * - * This file contains code that performs the initial partition of the - * coarsest graph - * - * Started 7/23/97 - * George - * - * $Id: minitpart.c,v 1.2 2003/07/31 16:23:29 karypis Exp $ - * - */ - -#include <metis.h> - -/************************************************************************* -* This function computes the initial bisection of the coarsest graph -**************************************************************************/ -void MocInit2WayPartition(CtrlType *ctrl, GraphType *graph, float *tpwgts, float ubfactor) -{ - int i, dbglvl; - - dbglvl = ctrl->dbglvl; - IFSET(ctrl->dbglvl, DBG_REFINE, ctrl->dbglvl -= DBG_REFINE); - IFSET(ctrl->dbglvl, DBG_MOVEINFO, ctrl->dbglvl -= DBG_MOVEINFO); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - - switch (ctrl->IType) { - case IPART_GGPKL: - if (graph->nedges == 0) - MocRandomBisection(ctrl, graph, tpwgts, ubfactor); - else - MocGrowBisection(ctrl, graph, tpwgts, ubfactor); - break; - case IPART_RANDOM: - MocRandomBisection(ctrl, graph, tpwgts, ubfactor); - break; - default: - errexit("Unknown initial partition type: %d\n", ctrl->IType); - } - - IFSET(ctrl->dbglvl, DBG_IPART, printf("Initial Cut: %d\n", graph->mincut)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - ctrl->dbglvl = dbglvl; - -} - - - - - -/************************************************************************* -* This function takes a graph and produces a bisection by using a region -* growing algorithm. The resulting partition is returned in -* graph->where -**************************************************************************/ -void MocGrowBisection(CtrlType *ctrl, GraphType *graph, float *tpwgts, float ubfactor) -{ - int i, j, k, nvtxs, ncon, from, bestcut, mincut, nbfs; - idxtype *bestwhere, *where; - - nvtxs = graph->nvtxs; - - MocAllocate2WayPartitionMemory(ctrl, graph); - where = graph->where; - - bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere"); - nbfs = 2*(nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS); - bestcut = idxsum(graph->nedges, graph->adjwgt); - - for (; nbfs>0; nbfs--) { - idxset(nvtxs, 1, where); - where[RandomInRange(nvtxs)] = 0; - - MocCompute2WayPartitionParams(ctrl, graph); - - MocInit2WayBalance(ctrl, graph, tpwgts); - - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 4); - - MocBalance2Way(ctrl, graph, tpwgts, 1.02); - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 4); - - if (bestcut > graph->mincut) { - bestcut = graph->mincut; - idxcopy(nvtxs, where, bestwhere); - if (bestcut == 0) - break; - } - } - - graph->mincut = bestcut; - idxcopy(nvtxs, bestwhere, where); - - GKfree(&bestwhere, LTERM); -} - - - -/************************************************************************* -* This function takes a graph and produces a bisection by using a region -* growing algorithm. The resulting partition is returned in -* graph->where -**************************************************************************/ -void MocRandomBisection(CtrlType *ctrl, GraphType *graph, float *tpwgts, float ubfactor) -{ - int i, ii, j, k, nvtxs, ncon, from, bestcut, mincut, nbfs, qnum; - idxtype *bestwhere, *where, *perm; - int counts[MAXNCON]; - float *nvwgt; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - nvwgt = graph->nvwgt; - - MocAllocate2WayPartitionMemory(ctrl, graph); - where = graph->where; - - bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere"); - nbfs = 2*(nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS); - bestcut = idxsum(graph->nedges, graph->adjwgt); - perm = idxmalloc(nvtxs, "BisectGraph: perm"); - - for (; nbfs>0; nbfs--) { - for (i=0; i<ncon; i++) - counts[i] = 0; - - RandomPermute(nvtxs, perm, 1); - - /* Partition by spliting the queues randomly */ - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - qnum = samax(ncon, nvwgt+i*ncon); - where[i] = counts[qnum]; - counts[qnum] = (counts[qnum]+1)%2; - } - - MocCompute2WayPartitionParams(ctrl, graph); - - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 6); - MocBalance2Way(ctrl, graph, tpwgts, 1.02); - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 6); - MocBalance2Way(ctrl, graph, tpwgts, 1.02); - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 6); - - /* - printf("Edgecut: %6d, NPwgts: [", graph->mincut); - for (i=0; i<graph->ncon; i++) - printf("(%.3f %.3f) ", graph->npwgts[i], graph->npwgts[graph->ncon+i]); - printf("]\n"); - */ - - if (bestcut > graph->mincut) { - bestcut = graph->mincut; - idxcopy(nvtxs, where, bestwhere); - if (bestcut == 0) - break; - } - } - - graph->mincut = bestcut; - idxcopy(nvtxs, bestwhere, where); - - GKfree(&bestwhere, &perm, LTERM); -} - - - - -/************************************************************************* -* This function balances two partitions by moving the highest gain -* (including negative gain) vertices to the other domain. -* It is used only when tha unbalance is due to non contigous -* subdomains. That is, the are no boundary vertices. -* It moves vertices from the domain that is overweight to the one that -* is underweight. -**************************************************************************/ -void MocInit2WayBalance(CtrlType *ctrl, GraphType *graph, float *tpwgts) -{ - int i, ii, j, k, l, kwgt, nvtxs, nbnd, ncon, nswaps, from, to, pass, me, cnum, tmp; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *perm, *qnum; - float *nvwgt, *npwgts; - PQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - nvwgt = graph->nvwgt; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - npwgts = graph->npwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - perm = idxwspacemalloc(ctrl, nvtxs); - qnum = idxwspacemalloc(ctrl, nvtxs); - - /* This is called for initial partitioning so we know from where to pick nodes */ - from = 1; - to = (from+1)%2; - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Parts: ["); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f [B]\n", tpwgts[0], tpwgts[1], - graph->nvtxs, graph->nbnd, graph->mincut, - Compute2WayHLoadImbalance(ncon, npwgts, tpwgts)); - } - - for (i=0; i<ncon; i++) { - PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1); - PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1); - } - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - ASSERT(CheckGraph(graph)); - - /* Compute the queues in which each vertex will be assigned to */ - for (i=0; i<nvtxs; i++) - qnum[i] = samax(ncon, nvwgt+i*ncon); - - /* Insert the nodes of the proper partition in the appropriate priority queue */ - RandomPermute(nvtxs, perm, 1); - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - if (where[i] == from) { - if (ed[i] > 0) - PQueueInsert(&parts[qnum[i]][0], i, ed[i]-id[i]); - else - PQueueInsert(&parts[qnum[i]][1], i, ed[i]-id[i]); - } - } - - - mincut = graph->mincut; - nbnd = graph->nbnd; - for (nswaps=0; nswaps<nvtxs; nswaps++) { - if (AreAnyVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, nvwgt, tpwgts[from])) - break; - - if ((cnum = SelectQueueOneWay(ncon, npwgts, tpwgts, from, parts)) == -1) - break; - - if ((higain = PQueueGetMax(&parts[cnum][0])) == -1) - higain = PQueueGetMax(&parts[cnum][1]); - - mincut -= (ed[higain]-id[higain]); - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - - where[higain] = to; - - if (ctrl->dbglvl&DBG_MOVEINFO) { - printf("Moved %6d from %d(%d). [%5d] %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], mincut); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf(", LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts)); - if (ed[higain] == 0 && id[higain] > 0) - printf("\t Pulled from the interior!\n"); - } - - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update the queue position */ - if (where[k] == from) { - if (ed[k] > 0 && bndptr[k] == -1) { /* It moves in boundary */ - PQueueDelete(&parts[qnum[k]][1], k, oldgain); - PQueueInsert(&parts[qnum[k]][0], k, ed[k]-id[k]); - } - else { /* It must be in the boundary already */ - if (bndptr[k] == -1) - printf("What you thought was wrong!\n"); - PQueueUpdate(&parts[qnum[k]][0], k, oldgain, ed[k]-id[k]); - } - } - - /* Update its boundary information */ - if (ed[k] == 0 && bndptr[k] != -1) - BNDDelete(nbnd, bndind, bndptr, k); - else if (ed[k] > 0 && bndptr[k] == -1) - BNDInsert(nbnd, bndind, bndptr, k); - } - - ASSERTP(ComputeCut(graph, where) == mincut, ("%d != %d\n", ComputeCut(graph, where), mincut)); - - } - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\tMincut: %6d, NBND: %6d, NPwgts: ", mincut, nbnd); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf(", LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts)); - } - - graph->mincut = mincut; - graph->nbnd = nbnd; - - for (i=0; i<ncon; i++) { - PQueueFree(ctrl, &parts[i][0]); - PQueueFree(ctrl, &parts[i][1]); - } - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - - -/************************************************************************* -* This function selects the partition number and the queue from which -* we will move vertices out -**************************************************************************/ -int SelectQueueOneWay(int ncon, float *npwgts, float *tpwgts, int from, PQueueType queues[MAXNCON][2]) -{ - int i, cnum=-1; - float max=0.0; - - for (i=0; i<ncon; i++) { - if (npwgts[from*ncon+i]-tpwgts[from] >= max && - PQueueGetSize(&queues[i][0]) + PQueueGetSize(&queues[i][1]) > 0) { - max = npwgts[from*ncon+i]-tpwgts[0]; - cnum = i; - } - } - - return cnum; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/minitpart2.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/minitpart2.c deleted file mode 100644 index 4c1e1b1..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/minitpart2.c +++ /dev/null @@ -1,368 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * minitpart2.c - * - * This file contains code that performs the initial partition of the - * coarsest graph - * - * Started 7/23/97 - * George - * - * $Id: minitpart2.c,v 1.1 2003/07/16 15:55:10 karypis Exp $ - * - */ - -#include <metis.h> - -/************************************************************************* -* This function computes the initial bisection of the coarsest graph -**************************************************************************/ -void MocInit2WayPartition2(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *ubvec) -{ - int dbglvl; - - dbglvl = ctrl->dbglvl; - IFSET(ctrl->dbglvl, DBG_REFINE, ctrl->dbglvl -= DBG_REFINE); - IFSET(ctrl->dbglvl, DBG_MOVEINFO, ctrl->dbglvl -= DBG_MOVEINFO); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - - switch (ctrl->IType) { - case IPART_GGPKL: - case IPART_RANDOM: - MocGrowBisection2(ctrl, graph, tpwgts, ubvec); - break; - case 3: - MocGrowBisectionNew2(ctrl, graph, tpwgts, ubvec); - break; - default: - errexit("Unknown initial partition type: %d\n", ctrl->IType); - } - - IFSET(ctrl->dbglvl, DBG_IPART, printf("Initial Cut: %d\n", graph->mincut)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - ctrl->dbglvl = dbglvl; - -} - - - - -/************************************************************************* -* This function takes a graph and produces a bisection by using a region -* growing algorithm. The resulting partition is returned in -* graph->where -**************************************************************************/ -void MocGrowBisection2(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *ubvec) -{ - int i, j, k, nvtxs, ncon, from, bestcut, mincut, nbfs; - idxtype *bestwhere, *where; - - nvtxs = graph->nvtxs; - - MocAllocate2WayPartitionMemory(ctrl, graph); - where = graph->where; - - bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere"); - nbfs = 2*(nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS); - bestcut = idxsum(graph->nedges, graph->adjwgt); - - for (; nbfs>0; nbfs--) { - idxset(nvtxs, 1, where); - where[RandomInRange(nvtxs)] = 0; - - MocCompute2WayPartitionParams(ctrl, graph); - - MocBalance2Way2(ctrl, graph, tpwgts, ubvec); - - MocFM_2WayEdgeRefine2(ctrl, graph, tpwgts, ubvec, 4); - - MocBalance2Way2(ctrl, graph, tpwgts, ubvec); - MocFM_2WayEdgeRefine2(ctrl, graph, tpwgts, ubvec, 4); - - if (bestcut > graph->mincut) { - bestcut = graph->mincut; - idxcopy(nvtxs, where, bestwhere); - if (bestcut == 0) - break; - } - } - - graph->mincut = bestcut; - idxcopy(nvtxs, bestwhere, where); - - GKfree(&bestwhere, LTERM); -} - - - - - - -/************************************************************************* -* This function takes a graph and produces a bisection by using a region -* growing algorithm. The resulting partition is returned in -* graph->where -**************************************************************************/ -void MocGrowBisectionNew2(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *ubvec) -{ - int i, j, k, nvtxs, ncon, from, bestcut, mincut, nbfs; - idxtype *bestwhere, *where; - - nvtxs = graph->nvtxs; - - MocAllocate2WayPartitionMemory(ctrl, graph); - where = graph->where; - - bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere"); - nbfs = 2*(nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS); - bestcut = idxsum(graph->nedges, graph->adjwgt); - - for (; nbfs>0; nbfs--) { - idxset(nvtxs, 1, where); - where[RandomInRange(nvtxs)] = 0; - - MocCompute2WayPartitionParams(ctrl, graph); - - MocInit2WayBalance2(ctrl, graph, tpwgts, ubvec); - - MocFM_2WayEdgeRefine2(ctrl, graph, tpwgts, ubvec, 4); - - if (bestcut > graph->mincut) { - bestcut = graph->mincut; - idxcopy(nvtxs, where, bestwhere); - if (bestcut == 0) - break; - } - } - - graph->mincut = bestcut; - idxcopy(nvtxs, bestwhere, where); - - GKfree(&bestwhere, LTERM); -} - - - -/************************************************************************* -* This function balances two partitions by moving the highest gain -* (including negative gain) vertices to the other domain. -* It is used only when tha unbalance is due to non contigous -* subdomains. That is, the are no boundary vertices. -* It moves vertices from the domain that is overweight to the one that -* is underweight. -**************************************************************************/ -void MocInit2WayBalance2(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *ubvec) -{ - int i, ii, j, k, l, kwgt, nvtxs, nbnd, ncon, nswaps, from, to, pass, me, cnum, tmp, imin; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *moved, *perm, *qnum; - float *nvwgt, *npwgts, minwgt; - PQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - nvwgt = graph->nvwgt; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->id; - ed = graph->ed; - npwgts = graph->npwgts; - bndptr = graph->bndptr; - bndind = graph->bndind; - - moved = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - qnum = idxwspacemalloc(ctrl, nvtxs); - - /* This is called for initial partitioning so we know from where to pick nodes */ - from = 1; - to = (from+1)%2; - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Parts: ["); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f [B]\n", tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut, ComputeLoadImbalance(ncon, 2, npwgts, tpwgts)); - } - - for (i=0; i<ncon; i++) { - PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1); - PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1); - } - - idxset(nvtxs, -1, moved); - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - ASSERT(CheckGraph(graph)); - - /* Compute the queues in which each vertex will be assigned to */ - for (i=0; i<nvtxs; i++) - qnum[i] = samax(ncon, nvwgt+i*ncon); - - /* Insert the nodes of the proper partition in the appropriate priority queue */ - RandomPermute(nvtxs, perm, 1); - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - if (where[i] == from) { - if (ed[i] > 0) - PQueueInsert(&parts[qnum[i]][0], i, ed[i]-id[i]); - else - PQueueInsert(&parts[qnum[i]][1], i, ed[i]-id[i]); - } - } - -/* - for (i=0; i<ncon; i++) - printf("Queue #%d has %d %d\n", i, parts[i][0].nnodes, parts[i][1].nnodes); -*/ - - /* Determine the termination criterion */ - imin = 0; - for (i=1; i<ncon; i++) - imin = (ubvec[i] < ubvec[imin] ? i : imin); - minwgt = .5/ubvec[imin]; - - mincut = graph->mincut; - nbnd = graph->nbnd; - for (nswaps=0; nswaps<nvtxs; nswaps++) { - /* Exit as soon as the minimum weight crossed over */ - if (npwgts[to*ncon+imin] > minwgt) - break; - - if ((cnum = SelectQueueOneWay2(ncon, npwgts+to*ncon, parts, ubvec)) == -1) - break; - - if ((higain = PQueueGetMax(&parts[cnum][0])) == -1) - higain = PQueueGetMax(&parts[cnum][1]); - - mincut -= (ed[higain]-id[higain]); - saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - - where[higain] = to; - moved[higain] = nswaps; - - if (ctrl->dbglvl&DBG_MOVEINFO) { - printf("Moved %6d from %d(%d). [%5d] %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], mincut); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf(", LB: %.3f\n", ComputeLoadImbalance(ncon, 2, npwgts, tpwgts)); - if (ed[higain] == 0 && id[higain] > 0) - printf("\t Pulled from the interior!\n"); - } - - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update the queue position */ - if (moved[k] == -1 && where[k] == from) { - if (ed[k] > 0 && bndptr[k] == -1) { /* It moves in boundary */ - PQueueDelete(&parts[qnum[k]][1], k, oldgain); - PQueueInsert(&parts[qnum[k]][0], k, ed[k]-id[k]); - } - else { /* It must be in the boundary already */ - if (bndptr[k] == -1) - printf("What you thought was wrong!\n"); - PQueueUpdate(&parts[qnum[k]][0], k, oldgain, ed[k]-id[k]); - } - } - - /* Update its boundary information */ - if (ed[k] == 0 && bndptr[k] != -1) - BNDDelete(nbnd, bndind, bndptr, k); - else if (ed[k] > 0 && bndptr[k] == -1) - BNDInsert(nbnd, bndind, bndptr, k); - } - - ASSERTP(ComputeCut(graph, where) == mincut, ("%d != %d\n", ComputeCut(graph, where), mincut)); - - } - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\tMincut: %6d, NBND: %6d, NPwgts: ", mincut, nbnd); - for (l=0; l<ncon; l++) - printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]); - printf(", LB: %.3f\n", ComputeLoadImbalance(ncon, 2, npwgts, tpwgts)); - } - - graph->mincut = mincut; - graph->nbnd = nbnd; - - for (i=0; i<ncon; i++) { - PQueueFree(ctrl, &parts[i][0]); - PQueueFree(ctrl, &parts[i][1]); - } - - ASSERT(ComputeCut(graph, where) == graph->mincut); - ASSERT(CheckBnd(graph)); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function selects the partition number and the queue from which -* we will move vertices out -**************************************************************************/ -int SelectQueueOneWay2(int ncon, float *pto, PQueueType queues[MAXNCON][2], float *ubvec) -{ - int i, cnum=-1, imax, maxgain; - float max=0.0; - float twgt[MAXNCON]; - - for (i=0; i<ncon; i++) { - if (max < pto[i]) { - imax = i; - max = pto[i]; - } - } - for (i=0; i<ncon; i++) - twgt[i] = (max/(ubvec[imax]*ubvec[i]))/pto[i]; - twgt[imax] = 0.0; - - max = 0.0; - for (i=0; i<ncon; i++) { - if (max < twgt[i] && (PQueueGetSize(&queues[i][0]) > 0 || PQueueGetSize(&queues[i][1]) > 0)) { - max = twgt[i]; - cnum = i; - } - } - if (max > 1) - return cnum; - - /* optimize of cut */ - maxgain = -10000000; - for (i=0; i<ncon; i++) { - if (PQueueGetSize(&queues[i][0]) > 0 && PQueueGetKey(&queues[i][0]) > maxgain) { - maxgain = PQueueGetKey(&queues[i][0]); - cnum = i; - } - } - - return cnum; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkmetis.c deleted file mode 100644 index 55c7c9b..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkmetis.c +++ /dev/null @@ -1,124 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mkmetis.c - * - * This file contains the top level routines for the multilevel k-way partitioning - * algorithm KMETIS. - * - * Started 7/28/97 - * George - * - * $Id: mkmetis.c,v 1.1 2003/07/16 15:55:10 karypis Exp $ - * - */ - -#include <metis.h> - - - -/************************************************************************* -* This function is the entry point for KWMETIS -**************************************************************************/ -void METIS_mCPartGraphKway(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, - int *nparts, float *rubvec, int *options, int *edgecut, - idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_KMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = McKMETIS_CTYPE; - ctrl.IType = McKMETIS_ITYPE; - ctrl.RType = McKMETIS_RTYPE; - ctrl.dbglvl = McKMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_KMETIS; - ctrl.CoarsenTo = amax((*nvtxs)/(20*log2Int(*nparts)), 30*(*nparts)); - - ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - ASSERT(CheckGraph(&graph)); - *edgecut = MCMlevelKWayPartitioning(&ctrl, &graph, *nparts, part, rubvec); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -int MCMlevelKWayPartitioning(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part, - float *rubvec) -{ - int i, j, nvtxs; - GraphType *cgraph; - int options[10], edgecut; - - cgraph = MCCoarsen2Way(ctrl, graph); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - MocAllocateKWayPartitionMemory(ctrl, cgraph, nparts); - - options[0] = 1; - options[OPTION_CTYPE] = MATCH_SBHEM_INFNORM; - options[OPTION_ITYPE] = IPART_RANDOM; - options[OPTION_RTYPE] = RTYPE_FM; - options[OPTION_DBGLVL] = 0; - - /* Determine what you will use as the initial partitioner, based on tolerances */ - for (i=0; i<graph->ncon; i++) { - if (rubvec[i] > 1.2) - break; - } - if (i == graph->ncon) - METIS_mCPartGraphRecursiveInternal(&cgraph->nvtxs, &cgraph->ncon, - cgraph->xadj, cgraph->adjncy, cgraph->nvwgt, cgraph->adjwgt, &nparts, - options, &edgecut, cgraph->where); - else - METIS_mCHPartGraphRecursiveInternal(&cgraph->nvtxs, &cgraph->ncon, - cgraph->xadj, cgraph->adjncy, cgraph->nvwgt, cgraph->adjwgt, &nparts, - rubvec, options, &edgecut, cgraph->where); - - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - IFSET(ctrl->dbglvl, DBG_IPART, printf("Initial %d-way partitioning cut: %d\n", nparts, edgecut)); - - IFSET(ctrl->dbglvl, DBG_KWAYPINFO, ComputePartitionInfo(cgraph, nparts, cgraph->where)); - - MocRefineKWayHorizontal(ctrl, graph, cgraph, nparts, rubvec); - - idxcopy(graph->nvtxs, graph->where, part); - - GKfree(&graph->nvwgt, &graph->gdata, &graph->rdata, LTERM); - - return graph->mincut; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayfmh.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayfmh.c deleted file mode 100644 index 69a781a..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayfmh.c +++ /dev/null @@ -1,677 +0,0 @@ -/* - * mkwayfmh.c - * - * This file contains code that implements the multilevel k-way refinement - * - * Started 7/28/97 - * George - * - * $Id: mkwayfmh.c,v 1.1 2003/07/16 15:55:10 karypis Exp $ - * - */ - -#include <metis.h> - - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void MCRandom_KWayEdgeRefineHorizontal(CtrlType *ctrl, GraphType *graph, int nparts, - float *orgubvec, int npasses) -{ - int i, ii, iii, j, jj, k, l, pass, nvtxs, ncon, nmoves, nbnd, myndegrees, same; - int from, me, to, oldcut, gain; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *perm, *bndptr, *bndind; - EDegreeType *myedegrees; - RInfoType *myrinfo; - float *npwgts, *nvwgt, *minwgt, *maxwgt, maxlb, minlb, ubvec[MAXNCON], tvec[MAXNCON]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndptr = graph->bndptr; - bndind = graph->bndind; - - where = graph->where; - npwgts = graph->npwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = fwspacemalloc(ctrl, nparts*ncon); - maxwgt = fwspacemalloc(ctrl, nparts*ncon); - - /* See if the orgubvec consists of identical constraints */ - maxlb = minlb = orgubvec[0]; - for (i=1; i<ncon; i++) { - minlb = (orgubvec[i] < minlb ? orgubvec[i] : minlb); - maxlb = (orgubvec[i] > maxlb ? orgubvec[i] : maxlb); - } - same = (fabs(maxlb-minlb) < .01 ? 1 : 0); - - - /* Let's not get very optimistic. Let Balancing do the work */ - ComputeHKWayLoadImbalance(ncon, nparts, npwgts, ubvec); - for (i=0; i<ncon; i++) - ubvec[i] = amax(ubvec[i], orgubvec[i]); - - if (!same) { - for (i=0; i<nparts; i++) { - for (j=0; j<ncon; j++) { - maxwgt[i*ncon+j] = ubvec[j]/nparts; - minwgt[i*ncon+j] = 1.0/(ubvec[j]*nparts); - } - } - } - else { - maxlb = ubvec[0]; - for (i=1; i<ncon; i++) - maxlb = (ubvec[i] > maxlb ? ubvec[i] : maxlb); - - for (i=0; i<nparts; i++) { - for (j=0; j<ncon; j++) { - maxwgt[i*ncon+j] = maxlb/nparts; - minwgt[i*ncon+j] = 1.0/(maxlb*nparts); - } - } - } - - - perm = idxwspacemalloc(ctrl, nvtxs); - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Partitions: [%5.4f %5.4f], Nv-Nb[%6d %6d]. Cut: %6d, LB: ", - npwgts[samin(ncon*nparts, npwgts)], npwgts[samax(ncon*nparts, npwgts)], - graph->nvtxs, graph->nbnd, graph->mincut); - ComputeHKWayLoadImbalance(ncon, nparts, npwgts, tvec); - for (i=0; i<ncon; i++) - printf("%.3f ", tvec[i]); - printf("\n"); - } - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - oldcut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (nmoves=iii=0; iii<graph->nbnd; iii++) { - ii = perm[iii]; - if (ii >= nbnd) - continue; - i = bndind[ii]; - - myrinfo = graph->rinfo+i; - - if (myrinfo->ed >= myrinfo->id) { /* Total ED is too high */ - from = where[i]; - nvwgt = graph->nvwgt+i*ncon; - - if (myrinfo->id > 0 && AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, -1.0, nvwgt, minwgt+from*ncon)) - continue; /* This cannot be moved! */ - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - gain = myedegrees[k].ed - myrinfo->id; - if (gain >= 0 && - (AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon) || - IsHBalanceBetterFT(ncon, nparts, npwgts+from*ncon, npwgts+to*ncon, nvwgt, ubvec))) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if ((myedegrees[j].ed > myedegrees[k].ed && - (AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon) || - IsHBalanceBetterFT(ncon, nparts, npwgts+from*ncon, npwgts+to*ncon, nvwgt, ubvec))) || - (myedegrees[j].ed == myedegrees[k].ed && - IsHBalanceBetterTT(ncon, nparts, npwgts+myedegrees[k].pid*ncon, npwgts+to*ncon, nvwgt, ubvec))) - k = j; - } - - to = myedegrees[k].pid; - - if (myedegrees[k].ed-myrinfo->id == 0 - && !IsHBalanceBetterFT(ncon, nparts, npwgts+from*ncon, npwgts+to*ncon, nvwgt, ubvec) - && AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, npwgts+from*ncon, maxwgt+from*ncon)) - continue; - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); - - /* Update where, weight, and ID/ED information of the vertex you moved */ - saxpy(ncon, 1.0, nvwgt, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt, 1, npwgts+from*ncon, 1); - where[i] = to; - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed-myrinfo->id < 0) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); - ASSERT(CheckRInfo(myrinfo)); - - } - nmoves++; - } - } - - graph->nbnd = nbnd; - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\t [%5.4f %5.4f], Nb: %6d, Nmoves: %5d, Cut: %6d, LB: ", - npwgts[samin(ncon*nparts, npwgts)], npwgts[samax(ncon*nparts, npwgts)], - nbnd, nmoves, graph->mincut); - ComputeHKWayLoadImbalance(ncon, nparts, npwgts, tvec); - for (i=0; i<ncon; i++) - printf("%.3f ", tvec[i]); - printf("\n"); - } - - if (graph->mincut == oldcut) - break; - } - - fwspacefree(ctrl, ncon*nparts); - fwspacefree(ctrl, ncon*nparts); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void MCGreedy_KWayEdgeBalanceHorizontal(CtrlType *ctrl, GraphType *graph, int nparts, - float *ubvec, int npasses) -{ - int i, ii, iii, j, jj, k, l, pass, nvtxs, ncon, nbnd, myndegrees, oldgain, gain, nmoves; - int from, me, to, oldcut; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *perm, *bndptr, *bndind, *moved; - EDegreeType *myedegrees; - RInfoType *myrinfo; - PQueueType queue; - float *npwgts, *nvwgt, *minwgt, *maxwgt, tvec[MAXNCON]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - - where = graph->where; - npwgts = graph->npwgts; - - /* Setup the weight intervals of the various subdomains */ - minwgt = fwspacemalloc(ctrl, ncon*nparts); - maxwgt = fwspacemalloc(ctrl, ncon*nparts); - - for (i=0; i<nparts; i++) { - for (j=0; j<ncon; j++) { - maxwgt[i*ncon+j] = ubvec[j]/nparts; - minwgt[i*ncon+j] = 1.0/(ubvec[j]*nparts); - } - } - - perm = idxwspacemalloc(ctrl, nvtxs); - moved = idxwspacemalloc(ctrl, nvtxs); - - PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); - - if (ctrl->dbglvl&DBG_REFINE) { - printf("Partitions: [%5.4f %5.4f], Nv-Nb[%6d %6d]. Cut: %6d, LB: ", - npwgts[samin(ncon*nparts, npwgts)], npwgts[samax(ncon*nparts, npwgts)], - graph->nvtxs, graph->nbnd, graph->mincut); - ComputeHKWayLoadImbalance(ncon, nparts, npwgts, tvec); - for (i=0; i<ncon; i++) - printf("%.3f ", tvec[i]); - printf("[B]\n"); - } - - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - /* Check to see if things are out of balance, given the tolerance */ - if (MocIsHBalanced(ncon, nparts, npwgts, ubvec)) - break; - - PQueueReset(&queue); - idxset(nvtxs, -1, moved); - - oldcut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - PQueueInsert(&queue, i, graph->rinfo[i].ed - graph->rinfo[i].id); - moved[i] = 2; - } - - nmoves = 0; - for (;;) { - if ((i = PQueueGetMax(&queue)) == -1) - break; - moved[i] = 1; - - myrinfo = graph->rinfo+i; - from = where[i]; - nvwgt = graph->nvwgt+i*ncon; - - if (AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, -1.0, nvwgt, minwgt+from*ncon)) - continue; /* This cannot be moved! */ - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - if (IsHBalanceBetterFT(ncon, nparts, npwgts+from*ncon, npwgts+to*ncon, nvwgt, ubvec)) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if (IsHBalanceBetterTT(ncon, nparts, npwgts+myedegrees[k].pid*ncon, npwgts+to*ncon, nvwgt, ubvec)) - k = j; - } - - to = myedegrees[k].pid; - - j = 0; - if (!AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, nvwgt, maxwgt+from*ncon)) - j++; - if (myedegrees[k].ed-myrinfo->id >= 0) - j++; - if (!AreAllHVwgtsAbove(ncon, 1.0, npwgts+to*ncon, 0.0, nvwgt, minwgt+to*ncon) && - AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon)) - j++; - if (j == 0) - continue; - -/* DELETE - if (myedegrees[k].ed-myrinfo->id < 0 && - AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, nvwgt, maxwgt+from*ncon) && - AreAllHVwgtsAbove(ncon, 1.0, npwgts+to*ncon, 0.0, nvwgt, minwgt+to*ncon) && - AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon)) - continue; -*/ - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); - - /* Update where, weight, and ID/ED information of the vertex you moved */ - saxpy(ncon, 1.0, nvwgt, 1, npwgts+to*ncon, 1); - saxpy(ncon, -1.0, nvwgt, 1, npwgts+from*ncon, 1); - where[i] = to; - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed == 0) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - oldgain = (myrinfo->ed-myrinfo->id); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed > 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed == 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - - /* Update the queue */ - if (me == to || me == from) { - gain = myrinfo->ed-myrinfo->id; - if (moved[ii] == 2) { - if (myrinfo->ed > 0) - PQueueUpdate(&queue, ii, oldgain, gain); - else { - PQueueDelete(&queue, ii, oldgain); - moved[ii] = -1; - } - } - else if (moved[ii] == -1 && myrinfo->ed > 0) { - PQueueInsert(&queue, ii, gain); - moved[ii] = 2; - } - } - - ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); - ASSERT(CheckRInfo(myrinfo)); - } - nmoves++; - } - - graph->nbnd = nbnd; - - if (ctrl->dbglvl&DBG_REFINE) { - printf("\t [%5.4f %5.4f], Nb: %6d, Nmoves: %5d, Cut: %6d, LB: ", - npwgts[samin(ncon*nparts, npwgts)], npwgts[samax(ncon*nparts, npwgts)], - nbnd, nmoves, graph->mincut); - ComputeHKWayLoadImbalance(ncon, nparts, npwgts, tvec); - for (i=0; i<ncon; i++) - printf("%.3f ", tvec[i]); - printf("\n"); - } - - if (nmoves == 0) - break; - } - - PQueueFree(ctrl, &queue); - - fwspacefree(ctrl, ncon*nparts); - fwspacefree(ctrl, ncon*nparts); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - -} - - - - - -/************************************************************************* -* This function checks if the vertex weights of two vertices are below -* a given set of values -**************************************************************************/ -int AreAllHVwgtsBelow(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float *limit) -{ - int i; - - for (i=0; i<ncon; i++) - if (alpha*vwgt1[i] + beta*vwgt2[i] > limit[i]) - return 0; - - return 1; -} - - - -/************************************************************************* -* This function checks if the vertex weights of two vertices are above -* a given set of values -**************************************************************************/ -int AreAllHVwgtsAbove(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float *limit) -{ - int i; - - for (i=0; i<ncon; i++) - if (alpha*vwgt1[i] + beta*vwgt2[i] < limit[i]) - return 0; - - return 1; -} - - -/************************************************************************* -* This function computes the load imbalance over all the constrains -* For now assume that we just want balanced partitionings -**************************************************************************/ -void ComputeHKWayLoadImbalance(int ncon, int nparts, float *npwgts, float *lbvec) -{ - int i, j; - float max; - - for (i=0; i<ncon; i++) { - max = 0.0; - for (j=0; j<nparts; j++) { - if (npwgts[j*ncon+i] > max) - max = npwgts[j*ncon+i]; - } - - lbvec[i] = max*nparts; - } -} - - -/************************************************************************* -* This function determines if a partitioning is horizontally balanced -**************************************************************************/ -int MocIsHBalanced(int ncon, int nparts, float *npwgts, float *ubvec) -{ - int i, j; - float max; - - for (i=0; i<ncon; i++) { - max = 0.0; - for (j=0; j<nparts; j++) { - if (npwgts[j*ncon+i] > max) - max = npwgts[j*ncon+i]; - } - - if (ubvec[i] < max*nparts) - return 0; - } - - return 1; -} - - - - - -/************************************************************************* -* This function checks if the pairwise balance of the between the two -* partitions will improve by moving the vertex v from pfrom to pto, -* subject to the target partition weights of tfrom, and tto respectively -**************************************************************************/ -int IsHBalanceBetterFT(int ncon, int nparts, float *pfrom, float *pto, float *vwgt, float *ubvec) -{ - int i, j, k; - float blb1=0.0, alb1=0.0, sblb=0.0, salb=0.0; - float blb2=0.0, alb2=0.0; - float temp; - - for (i=0; i<ncon; i++) { - temp = amax(pfrom[i], pto[i])*nparts/ubvec[i]; - if (blb1 < temp) { - blb2 = blb1; - blb1 = temp; - } - else if (blb2 < temp) - blb2 = temp; - sblb += temp; - - temp = amax(pfrom[i]-vwgt[i], pto[i]+vwgt[i])*nparts/ubvec[i]; - if (alb1 < temp) { - alb2 = alb1; - alb1 = temp; - } - else if (alb2 < temp) - alb2 = temp; - salb += temp; - } - - if (alb1 < blb1) - return 1; - if (blb1 < alb1) - return 0; - if (alb2 < blb2) - return 1; - if (blb2 < alb2) - return 0; - - return salb < sblb; - -} - - - - -/************************************************************************* -* This function checks if it will be better to move a vertex to pt2 than -* to pt1 subject to their target weights of tt1 and tt2, respectively -* This routine takes into account the weight of the vertex in question -**************************************************************************/ -int IsHBalanceBetterTT(int ncon, int nparts, float *pt1, float *pt2, float *vwgt, float *ubvec) -{ - int i; - float m11=0.0, m12=0.0, m21=0.0, m22=0.0, sm1=0.0, sm2=0.0, temp; - - for (i=0; i<ncon; i++) { - temp = (pt1[i]+vwgt[i])*nparts/ubvec[i]; - if (m11 < temp) { - m12 = m11; - m11 = temp; - } - else if (m12 < temp) - m12 = temp; - sm1 += temp; - - temp = (pt2[i]+vwgt[i])*nparts/ubvec[i]; - if (m21 < temp) { - m22 = m21; - m21 = temp; - } - else if (m22 < temp) - m22 = temp; - sm2 += temp; - } - - if (m21 < m11) - return 1; - if (m21 > m11) - return 0; - if (m22 < m12) - return 1; - if (m22 > m12) - return 0; - - return sm2 < sm1; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayrefine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayrefine.c deleted file mode 100644 index 15836db..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayrefine.c +++ /dev/null @@ -1,296 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mkwayrefine.c - * - * This file contains the driving routines for multilevel k-way refinement - * - * Started 7/28/97 - * George - * - * $Id: mkwayrefine.c,v 1.1 2003/07/16 15:55:11 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of refinement -**************************************************************************/ -void MocRefineKWayHorizontal(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, int nparts, - float *ubvec) -{ - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); - - /* Compute the parameters of the coarsest graph */ - MocComputeKWayPartitionParams(ctrl, graph, nparts); - - for (;;) { - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); - - if (!MocIsHBalanced(graph->ncon, nparts, graph->npwgts, ubvec)) { - MocComputeKWayBalanceBoundary(ctrl, graph, nparts); - MCGreedy_KWayEdgeBalanceHorizontal(ctrl, graph, nparts, ubvec, 4); - ComputeKWayBoundary(ctrl, graph, nparts); - } - - MCRandom_KWayEdgeRefineHorizontal(ctrl, graph, nparts, ubvec, 10); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); - - if (graph == orggraph) - break; - - graph = graph->finer; - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - MocProjectKWayPartition(ctrl, graph, nparts); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); - } - - if (!MocIsHBalanced(graph->ncon, nparts, graph->npwgts, ubvec)) { - MocComputeKWayBalanceBoundary(ctrl, graph, nparts); - MCGreedy_KWayEdgeBalanceHorizontal(ctrl, graph, nparts, ubvec, 4); - ComputeKWayBoundary(ctrl, graph, nparts); - MCRandom_KWayEdgeRefineHorizontal(ctrl, graph, nparts, ubvec, 10); - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); -} - - - - -/************************************************************************* -* This function allocates memory for k-way edge refinement -**************************************************************************/ -void MocAllocateKWayPartitionMemory(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int nvtxs, ncon, pad64; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - - pad64 = (3*nvtxs+nparts)%2; - - graph->rdata = idxmalloc(3*nvtxs+ncon*nparts+(sizeof(RInfoType)/sizeof(idxtype))*nvtxs+pad64, "AllocateKWayPartitionMemory: rdata"); - graph->npwgts = (float *)graph->rdata; - graph->where = graph->rdata + ncon*nparts; - graph->bndptr = graph->rdata + nvtxs + ncon*nparts; - graph->bndind = graph->rdata + 2*nvtxs + ncon*nparts; - graph->rinfo = (RInfoType *)(graph->rdata + 3*nvtxs+ncon*nparts + pad64); -} - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void MocComputeKWayPartitionParams(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, j, k, l, nvtxs, ncon, nbnd, mincut, me, other; - idxtype *xadj, *adjncy, *adjwgt, *where, *bndind, *bndptr; - RInfoType *rinfo, *myrinfo; - EDegreeType *myedegrees; - float *nvwgt, *npwgts; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - npwgts = sset(ncon*nparts, 0.0, graph->npwgts); - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - rinfo = graph->rinfo; - - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - ctrl->wspace.cdegree = 0; - nbnd = mincut = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - saxpy(ncon, 1.0, nvwgt+i*ncon, 1, npwgts+me*ncon, 1); - - myrinfo = rinfo+i; - myrinfo->id = myrinfo->ed = myrinfo->ndegrees = 0; - myrinfo->edegrees = NULL; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me != where[adjncy[j]]) - myrinfo->ed += adjwgt[j]; - } - myrinfo->id = graph->adjwgtsum[i] - myrinfo->ed; - - if (myrinfo->ed > 0) - mincut += myrinfo->ed; - - if (myrinfo->ed-myrinfo->id >= 0) - BNDInsert(nbnd, bndind, bndptr, i); - - /* Time to compute the particular external degrees */ - if (myrinfo->ed > 0) { - myedegrees = myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[i+1]-xadj[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = where[adjncy[j]]; - if (me != other) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == other) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = other; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - } - - ASSERT(myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - } - } - - graph->mincut = mincut/2; - graph->nbnd = nbnd; - -} - - - -/************************************************************************* -* This function projects a partition, and at the same time computes the -* parameters for refinement. -**************************************************************************/ -void MocProjectKWayPartition(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, j, k, nvtxs, nbnd, me, other, istart, iend, ndegrees; - idxtype *xadj, *adjncy, *adjwgt, *adjwgtsum; - idxtype *cmap, *where, *bndptr, *bndind; - idxtype *cwhere; - GraphType *cgraph; - RInfoType *crinfo, *rinfo, *myrinfo; - EDegreeType *myedegrees; - idxtype *htable; - - cgraph = graph->coarser; - cwhere = cgraph->where; - crinfo = cgraph->rinfo; - - nvtxs = graph->nvtxs; - cmap = graph->cmap; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - - MocAllocateKWayPartitionMemory(ctrl, graph, nparts); - where = graph->where; - rinfo = graph->rinfo; - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - - /* Go through and project partition and compute id/ed for the nodes */ - for (i=0; i<nvtxs; i++) { - k = cmap[i]; - where[i] = cwhere[k]; - cmap[i] = crinfo[k].ed; /* For optimization */ - } - - htable = idxset(nparts, -1, idxwspacemalloc(ctrl, nparts)); - - ctrl->wspace.cdegree = 0; - for (nbnd=0, i=0; i<nvtxs; i++) { - me = where[i]; - - myrinfo = rinfo+i; - myrinfo->id = myrinfo->ed = myrinfo->ndegrees = 0; - myrinfo->edegrees = NULL; - - myrinfo->id = adjwgtsum[i]; - - if (cmap[i] > 0) { /* If it is an interface node. Note cmap[i] = crinfo[cmap[i]].ed */ - istart = xadj[i]; - iend = xadj[i+1]; - - myedegrees = myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += iend-istart; - - ndegrees = 0; - for (j=istart; j<iend; j++) { - other = where[adjncy[j]]; - if (me != other) { - myrinfo->ed += adjwgt[j]; - if ((k = htable[other]) == -1) { - htable[other] = ndegrees; - myedegrees[ndegrees].pid = other; - myedegrees[ndegrees++].ed = adjwgt[j]; - } - else { - myedegrees[k].ed += adjwgt[j]; - } - } - } - myrinfo->id -= myrinfo->ed; - - /* Remove space for edegrees if it was interior */ - if (myrinfo->ed == 0) { - myrinfo->edegrees = NULL; - ctrl->wspace.cdegree -= iend-istart; - } - else { - if (myrinfo->ed-myrinfo->id >= 0) - BNDInsert(nbnd, bndind, bndptr, i); - - myrinfo->ndegrees = ndegrees; - - for (j=0; j<ndegrees; j++) - htable[myedegrees[j].pid] = -1; - } - } - } - - scopy(graph->ncon*nparts, cgraph->npwgts, graph->npwgts); - graph->mincut = cgraph->mincut; - graph->nbnd = nbnd; - - FreeGraph(graph->coarser); - graph->coarser = NULL; - - idxwspacefree(ctrl, nparts); - - ASSERT(CheckBnd2(graph)); - -} - - - -/************************************************************************* -* This function computes the boundary definition for balancing -**************************************************************************/ -void MocComputeKWayBalanceBoundary(CtrlType *ctrl, GraphType *graph, int nparts) -{ - int i, nvtxs, nbnd; - idxtype *bndind, *bndptr; - - nvtxs = graph->nvtxs; - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - - - /* Compute the new boundary */ - nbnd = 0; - for (i=0; i<nvtxs; i++) { - if (graph->rinfo[i].ed > 0) - BNDInsert(nbnd, bndind, bndptr, i); - } - - graph->nbnd = nbnd; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mmatch.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mmatch.c deleted file mode 100644 index 2666dd3..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mmatch.c +++ /dev/null @@ -1,501 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mmatch.c - * - * This file contains the code that computes matchings and creates the next - * level coarse graph. - * - * Started 7/23/97 - * George - * - * $Id: mmatch.c,v 1.1 2003/07/16 15:55:11 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void MCMatch_RM(CtrlType *ctrl, GraphType *graph) -{ - int i, ii, j, k, nvtxs, ncon, cnvtxs, maxidx; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *match, *cmap, *perm; - float *nvwgt; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - RandomPermute(nvtxs, perm, 1); - - cnvtxs = 0; - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - - /* Find a random matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (match[k] == UNMATCHED && AreAllVwgtsBelowFast(ncon, nvwgt+i*ncon, nvwgt+k*ncon, ctrl->nmaxvwgt)) { - maxidx = k; - break; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - CreateCoarseGraph(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void MCMatch_HEM(CtrlType *ctrl, GraphType *graph) -{ - int i, ii, j, k, l, nvtxs, cnvtxs, ncon, maxidx, maxwgt; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *match, *cmap, *perm; - float *nvwgt; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - RandomPermute(nvtxs, perm, 1); - - cnvtxs = 0; - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - maxwgt = 0; - - /* Find a heavy-edge matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (match[k] == UNMATCHED && maxwgt <= adjwgt[j] && - AreAllVwgtsBelowFast(ncon, nvwgt+i*ncon, nvwgt+k*ncon, ctrl->nmaxvwgt)) { - maxwgt = adjwgt[j]; - maxidx = adjncy[j]; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - CreateCoarseGraph(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void MCMatch_SHEM(CtrlType *ctrl, GraphType *graph) -{ - int i, ii, j, k, nvtxs, cnvtxs, ncon, maxidx, maxwgt, avgdegree; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *match, *cmap, *degrees, *perm, *tperm; - float *nvwgt; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - tperm = idxwspacemalloc(ctrl, nvtxs); - degrees = idxwspacemalloc(ctrl, nvtxs); - - RandomPermute(nvtxs, tperm, 1); - avgdegree = 0.7*(xadj[nvtxs]/nvtxs); - for (i=0; i<nvtxs; i++) - degrees[i] = (xadj[i+1]-xadj[i] > avgdegree ? avgdegree : xadj[i+1]-xadj[i]); - BucketSortKeysInc(nvtxs, avgdegree, degrees, tperm, perm); - - cnvtxs = 0; - - /* Take care any islands. Islands are matched with non-islands due to coarsening */ - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - if (xadj[i] < xadj[i+1]) - break; - - maxidx = i; - for (j=nvtxs-1; j>ii; j--) { - k = perm[j]; - if (match[k] == UNMATCHED && xadj[k] < xadj[k+1]) { - maxidx = k; - break; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - /* Continue with normal matching */ - for (; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - maxwgt = 0; - - /* Find a heavy-edge matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (match[k] == UNMATCHED && maxwgt <= adjwgt[j] && - AreAllVwgtsBelowFast(ncon, nvwgt+i*ncon, nvwgt+k*ncon, ctrl->nmaxvwgt)) { - maxwgt = adjwgt[j]; - maxidx = adjncy[j]; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - idxwspacefree(ctrl, nvtxs); /* degrees */ - idxwspacefree(ctrl, nvtxs); /* tperm */ - - CreateCoarseGraph(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void MCMatch_SHEBM(CtrlType *ctrl, GraphType *graph, int norm) -{ - int i, ii, j, k, nvtxs, cnvtxs, ncon, maxidx, maxwgt, avgdegree; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *match, *cmap, *degrees, *perm, *tperm; - float *nvwgt; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - tperm = idxwspacemalloc(ctrl, nvtxs); - degrees = idxwspacemalloc(ctrl, nvtxs); - - RandomPermute(nvtxs, tperm, 1); - avgdegree = 0.7*(xadj[nvtxs]/nvtxs); - for (i=0; i<nvtxs; i++) - degrees[i] = (xadj[i+1]-xadj[i] > avgdegree ? avgdegree : xadj[i+1]-xadj[i]); - BucketSortKeysInc(nvtxs, avgdegree, degrees, tperm, perm); - - cnvtxs = 0; - - /* Take care any islands. Islands are matched with non-islands due to coarsening */ - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - if (xadj[i] < xadj[i+1]) - break; - - maxidx = i; - for (j=nvtxs-1; j>ii; j--) { - k = perm[j]; - if (match[k] == UNMATCHED && xadj[k] < xadj[k+1]) { - maxidx = k; - break; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - /* Continue with normal matching */ - for (; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - maxwgt = -1; - - /* Find a heavy-edge matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - - if (match[k] == UNMATCHED && - AreAllVwgtsBelowFast(ncon, nvwgt+i*ncon, nvwgt+k*ncon, ctrl->nmaxvwgt) && - (maxwgt < adjwgt[j] || - (maxwgt == adjwgt[j] && - BetterVBalance(ncon, norm, nvwgt+i*ncon, nvwgt+maxidx*ncon, nvwgt+k*ncon) >= 0 - ) - ) - ) { - maxwgt = adjwgt[j]; - maxidx = k; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - idxwspacefree(ctrl, nvtxs); /* degrees */ - idxwspacefree(ctrl, nvtxs); /* tperm */ - - CreateCoarseGraph(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void MCMatch_SBHEM(CtrlType *ctrl, GraphType *graph, int norm) -{ - int i, ii, j, k, nvtxs, cnvtxs, ncon, maxidx, maxwgt, avgdegree; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *match, *cmap, *degrees, *perm, *tperm; - float *nvwgt, vbal; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - cmap = graph->cmap; - match = idxset(nvtxs, UNMATCHED, idxwspacemalloc(ctrl, nvtxs)); - - perm = idxwspacemalloc(ctrl, nvtxs); - tperm = idxwspacemalloc(ctrl, nvtxs); - degrees = idxwspacemalloc(ctrl, nvtxs); - - RandomPermute(nvtxs, tperm, 1); - avgdegree = 0.7*(xadj[nvtxs]/nvtxs); - for (i=0; i<nvtxs; i++) - degrees[i] = (xadj[i+1]-xadj[i] > avgdegree ? avgdegree : xadj[i+1]-xadj[i]); - BucketSortKeysInc(nvtxs, avgdegree, degrees, tperm, perm); - - cnvtxs = 0; - - /* Take care any islands. Islands are matched with non-islands due to coarsening */ - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - if (xadj[i] < xadj[i+1]) - break; - - maxidx = i; - for (j=nvtxs-1; j>ii; j--) { - k = perm[j]; - if (match[k] == UNMATCHED && xadj[k] < xadj[k+1]) { - maxidx = k; - break; - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - /* Continue with normal matching */ - for (; ii<nvtxs; ii++) { - i = perm[ii]; - - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - maxwgt = -1; - vbal = 0.0; - - /* Find a heavy-edge matching, subject to maxvwgt constraints */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (match[k] == UNMATCHED && AreAllVwgtsBelowFast(ncon, nvwgt+i*ncon, nvwgt+k*ncon, ctrl->nmaxvwgt)) { - if (maxidx != i) - vbal = BetterVBalance(ncon, norm, nvwgt+i*ncon, nvwgt+maxidx*ncon, nvwgt+k*ncon); - - if (vbal > 0 || (vbal > -.01 && maxwgt < adjwgt[j])) { - maxwgt = adjwgt[j]; - maxidx = k; - } - } - } - - cmap[i] = cmap[maxidx] = cnvtxs++; - match[i] = maxidx; - match[maxidx] = i; - } - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - idxwspacefree(ctrl, nvtxs); /* degrees */ - idxwspacefree(ctrl, nvtxs); /* tperm */ - - CreateCoarseGraph(ctrl, graph, cnvtxs, match, perm); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - - - -/************************************************************************* -* This function checks if v+u2 provides a better balance in the weight -* vector that v+u1 -**************************************************************************/ -float BetterVBalance(int ncon, int norm, float *vwgt, float *u1wgt, float *u2wgt) -{ - int i; - float sum1, sum2, max1, max2, min1, min2, diff1, diff2; - - if (norm == -1) { - max1 = min1 = vwgt[0]+u1wgt[0]; - max2 = min2 = vwgt[0]+u2wgt[0]; - sum1 = vwgt[0]+u1wgt[0]; - sum2 = vwgt[0]+u2wgt[0]; - - for (i=1; i<ncon; i++) { - if (max1 < vwgt[i]+u1wgt[i]) - max1 = vwgt[i]+u1wgt[i]; - if (min1 > vwgt[i]+u1wgt[i]) - min1 = vwgt[i]+u1wgt[i]; - - if (max2 < vwgt[i]+u2wgt[i]) - max2 = vwgt[i]+u2wgt[i]; - if (min2 > vwgt[i]+u2wgt[i]) - min2 = vwgt[i]+u2wgt[i]; - - sum1 += vwgt[i]+u1wgt[i]; - sum2 += vwgt[i]+u2wgt[i]; - } - - return ((max1-min1)/sum1) - ((max2-min2)/sum2); - } - else if (norm == 1) { - sum1 = sum2 = 0.0; - for (i=0; i<ncon; i++) { - sum1 += vwgt[i]+u1wgt[i]; - sum2 += vwgt[i]+u2wgt[i]; - } - sum1 = sum1/(1.0*ncon); - sum2 = sum2/(1.0*ncon); - - diff1 = diff2 = 0.0; - for (i=0; i<ncon; i++) { - diff1 += fabs(sum1 - (vwgt[i]+u1wgt[i])); - diff2 += fabs(sum2 - (vwgt[i]+u2wgt[i])); - } - - return diff1 - diff2; - } - else { - errexit("Unknown norm: %d\n", norm); - } - return 0.0; -} - - -/************************************************************************* -* This function checks if the vertex weights of two vertices are below -* a given set of values -**************************************************************************/ -int AreAllVwgtsBelowFast(int ncon, float *vwgt1, float *vwgt2, float limit) -{ - int i; - - for (i=0; i<ncon; i++) - if (vwgt1[i] + vwgt2[i] > limit) - return 0; - - return 1; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mmd.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mmd.c deleted file mode 100644 index 1b43618..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mmd.c +++ /dev/null @@ -1,593 +0,0 @@ -/* - * mmd.c - * - * ************************************************************** - * The following C function was developed from a FORTRAN subroutine - * in SPARSPAK written by Eleanor Chu, Alan George, Joseph Liu - * and Esmond Ng. - * - * The FORTRAN-to-C transformation and modifications such as dynamic - * memory allocation and deallocation were performed by Chunguang - * Sun. - * ************************************************************** - * - * Taken from SMMS, George 12/13/94 - * - * The meaning of invperm, and perm vectors is different from that - * in genqmd_ of SparsPak - * - * $Id: mmd.c,v 1.1 2003/07/16 15:55:11 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* genmmd -- multiple minimum external degree -* purpose -- this routine implements the minimum degree -* algorithm. it makes use of the implicit representation -* of elimination graphs by quotient graphs, and the notion -* of indistinguishable nodes. It also implements the modifications -* by multiple elimination and minimum external degree. -* Caution -- the adjacency vector adjncy will be destroyed. -* Input parameters -- -* neqns -- number of equations. -* (xadj, adjncy) -- the adjacency structure. -* delta -- tolerance value for multiple elimination. -* maxint -- maximum machine representable (short) integer -* (any smaller estimate will do) for marking nodes. -* Output parameters -- -* perm -- the minimum degree ordering. -* invp -- the inverse of perm. -* *ncsub -- an upper bound on the number of nonzero subscripts -* for the compressed storage scheme. -* Working parameters -- -* head -- vector for head of degree lists. -* invp -- used temporarily for degree forward link. -* perm -- used temporarily for degree backward link. -* qsize -- vector for size of supernodes. -* list -- vector for temporary linked lists. -* marker -- a temporary marker vector. -* Subroutines used -- mmdelm, mmdint, mmdnum, mmdupd. -**************************************************************************/ -void genmmd(int neqns, idxtype *xadj, idxtype *adjncy, idxtype *invp, idxtype *perm, - int delta, idxtype *head, idxtype *qsize, idxtype *list, idxtype *marker, - int maxint, int *ncsub) -{ - int ehead, i, mdeg, mdlmt, mdeg_node, nextmd, num, tag; - - if (neqns <= 0) - return; - - /* Adjust from C to Fortran */ - xadj--; adjncy--; invp--; perm--; head--; qsize--; list--; marker--; - - /* initialization for the minimum degree algorithm. */ - *ncsub = 0; - mmdint(neqns, xadj, adjncy, head, invp, perm, qsize, list, marker); - - /* 'num' counts the number of ordered nodes plus 1. */ - num = 1; - - /* eliminate all isolated nodes. */ - nextmd = head[1]; - while (nextmd > 0) { - mdeg_node = nextmd; - nextmd = invp[mdeg_node]; - marker[mdeg_node] = maxint; - invp[mdeg_node] = -num; - num = num + 1; - } - - /* search for node of the minimum degree. 'mdeg' is the current */ - /* minimum degree; 'tag' is used to facilitate marking nodes. */ - if (num > neqns) - goto n1000; - tag = 1; - head[1] = 0; - mdeg = 2; - - /* infinite loop here ! */ - while (1) { - while (head[mdeg] <= 0) - mdeg++; - - /* use value of 'delta' to set up 'mdlmt', which governs */ - /* when a degree update is to be performed. */ - mdlmt = mdeg + delta; - ehead = 0; - -n500: - mdeg_node = head[mdeg]; - while (mdeg_node <= 0) { - mdeg++; - - if (mdeg > mdlmt) - goto n900; - mdeg_node = head[mdeg]; - }; - - /* remove 'mdeg_node' from the degree structure. */ - nextmd = invp[mdeg_node]; - head[mdeg] = nextmd; - if (nextmd > 0) - perm[nextmd] = -mdeg; - invp[mdeg_node] = -num; - *ncsub += mdeg + qsize[mdeg_node] - 2; - if ((num+qsize[mdeg_node]) > neqns) - goto n1000; - - /* eliminate 'mdeg_node' and perform quotient graph */ - /* transformation. reset 'tag' value if necessary. */ - tag++; - if (tag >= maxint) { - tag = 1; - for (i = 1; i <= neqns; i++) - if (marker[i] < maxint) - marker[i] = 0; - }; - - mmdelm(mdeg_node, xadj, adjncy, head, invp, perm, qsize, list, marker, maxint, tag); - - num += qsize[mdeg_node]; - list[mdeg_node] = ehead; - ehead = mdeg_node; - if (delta >= 0) - goto n500; - - n900: - /* update degrees of the nodes involved in the */ - /* minimum degree nodes elimination. */ - if (num > neqns) - goto n1000; - mmdupd( ehead, neqns, xadj, adjncy, delta, &mdeg, head, invp, perm, qsize, list, marker, maxint, &tag); - }; /* end of -- while ( 1 ) -- */ - -n1000: - mmdnum( neqns, perm, invp, qsize ); - - /* Adjust from Fortran back to C*/ - xadj++; adjncy++; invp++; perm++; head++; qsize++; list++; marker++; -} - - -/************************************************************************** -* mmdelm ...... multiple minimum degree elimination -* Purpose -- This routine eliminates the node mdeg_node of minimum degree -* from the adjacency structure, which is stored in the quotient -* graph format. It also transforms the quotient graph representation -* of the elimination graph. -* Input parameters -- -* mdeg_node -- node of minimum degree. -* maxint -- estimate of maximum representable (short) integer. -* tag -- tag value. -* Updated parameters -- -* (xadj, adjncy) -- updated adjacency structure. -* (head, forward, backward) -- degree doubly linked structure. -* qsize -- size of supernode. -* marker -- marker vector. -* list -- temporary linked list of eliminated nabors. -***************************************************************************/ -void mmdelm(int mdeg_node, idxtype *xadj, idxtype *adjncy, idxtype *head, idxtype *forward, - idxtype *backward, idxtype *qsize, idxtype *list, idxtype *marker, int maxint,int tag) -{ - int element, i, istop, istart, j, - jstop, jstart, link, - nabor, node, npv, nqnbrs, nxnode, - pvnode, rlmt, rloc, rnode, xqnbr; - - /* find the reachable set of 'mdeg_node' and */ - /* place it in the data structure. */ - marker[mdeg_node] = tag; - istart = xadj[mdeg_node]; - istop = xadj[mdeg_node+1] - 1; - - /* 'element' points to the beginning of the list of */ - /* eliminated nabors of 'mdeg_node', and 'rloc' gives the */ - /* storage location for the next reachable node. */ - element = 0; - rloc = istart; - rlmt = istop; - for ( i = istart; i <= istop; i++ ) { - nabor = adjncy[i]; - if ( nabor == 0 ) break; - if ( marker[nabor] < tag ) { - marker[nabor] = tag; - if ( forward[nabor] < 0 ) { - list[nabor] = element; - element = nabor; - } else { - adjncy[rloc] = nabor; - rloc++; - }; - }; /* end of -- if -- */ - }; /* end of -- for -- */ - - /* merge with reachable nodes from generalized elements. */ - while ( element > 0 ) { - adjncy[rlmt] = -element; - link = element; - -n400: - jstart = xadj[link]; - jstop = xadj[link+1] - 1; - for ( j = jstart; j <= jstop; j++ ) { - node = adjncy[j]; - link = -node; - if ( node < 0 ) goto n400; - if ( node == 0 ) break; - if ((marker[node]<tag)&&(forward[node]>=0)) { - marker[node] = tag; - /*use storage from eliminated nodes if necessary.*/ - while ( rloc >= rlmt ) { - link = -adjncy[rlmt]; - rloc = xadj[link]; - rlmt = xadj[link+1] - 1; - }; - adjncy[rloc] = node; - rloc++; - }; - }; /* end of -- for ( j = jstart; -- */ - element = list[element]; - }; /* end of -- while ( element > 0 ) -- */ - if ( rloc <= rlmt ) adjncy[rloc] = 0; - /* for each node in the reachable set, do the following. */ - link = mdeg_node; - -n1100: - istart = xadj[link]; - istop = xadj[link+1] - 1; - for ( i = istart; i <= istop; i++ ) { - rnode = adjncy[i]; - link = -rnode; - if ( rnode < 0 ) goto n1100; - if ( rnode == 0 ) return; - - /* 'rnode' is in the degree list structure. */ - pvnode = backward[rnode]; - if (( pvnode != 0 ) && ( pvnode != (-maxint) )) { - /* then remove 'rnode' from the structure. */ - nxnode = forward[rnode]; - if ( nxnode > 0 ) backward[nxnode] = pvnode; - if ( pvnode > 0 ) forward[pvnode] = nxnode; - npv = -pvnode; - if ( pvnode < 0 ) head[npv] = nxnode; - }; - - /* purge inactive quotient nabors of 'rnode'. */ - jstart = xadj[rnode]; - jstop = xadj[rnode+1] - 1; - xqnbr = jstart; - for ( j = jstart; j <= jstop; j++ ) { - nabor = adjncy[j]; - if ( nabor == 0 ) break; - if ( marker[nabor] < tag ) { - adjncy[xqnbr] = nabor; - xqnbr++; - }; - }; - - /* no active nabor after the purging. */ - nqnbrs = xqnbr - jstart; - if ( nqnbrs <= 0 ) { - /* merge 'rnode' with 'mdeg_node'. */ - qsize[mdeg_node] += qsize[rnode]; - qsize[rnode] = 0; - marker[rnode] = maxint; - forward[rnode] = -mdeg_node; - backward[rnode] = -maxint; - } else { - /* flag 'rnode' for degree update, and */ - /* add 'mdeg_node' as a nabor of 'rnode'. */ - forward[rnode] = nqnbrs + 1; - backward[rnode] = 0; - adjncy[xqnbr] = mdeg_node; - xqnbr++; - if ( xqnbr <= jstop ) adjncy[xqnbr] = 0; - }; - }; /* end of -- for ( i = istart; -- */ - return; - } - -/*************************************************************************** -* mmdint ---- mult minimum degree initialization -* purpose -- this routine performs initialization for the -* multiple elimination version of the minimum degree algorithm. -* input parameters -- -* neqns -- number of equations. -* (xadj, adjncy) -- adjacency structure. -* output parameters -- -* (head, dfrow, backward) -- degree doubly linked structure. -* qsize -- size of supernode ( initialized to one). -* list -- linked list. -* marker -- marker vector. -****************************************************************************/ -int mmdint(int neqns, idxtype *xadj, idxtype *adjncy, idxtype *head, idxtype *forward, - idxtype *backward, idxtype *qsize, idxtype *list, idxtype *marker) -{ - int fnode, ndeg, node; - - for ( node = 1; node <= neqns; node++ ) { - head[node] = 0; - qsize[node] = 1; - marker[node] = 0; - list[node] = 0; - }; - - /* initialize the degree doubly linked lists. */ - for ( node = 1; node <= neqns; node++ ) { - ndeg = xadj[node+1] - xadj[node]/* + 1*/; /* george */ - if (ndeg == 0) - ndeg = 1; - fnode = head[ndeg]; - forward[node] = fnode; - head[ndeg] = node; - if ( fnode > 0 ) backward[fnode] = node; - backward[node] = -ndeg; - }; - return 0; -} - -/**************************************************************************** -* mmdnum --- multi minimum degree numbering -* purpose -- this routine performs the final step in producing -* the permutation and inverse permutation vectors in the -* multiple elimination version of the minimum degree -* ordering algorithm. -* input parameters -- -* neqns -- number of equations. -* qsize -- size of supernodes at elimination. -* updated parameters -- -* invp -- inverse permutation vector. on input, -* if qsize[node] = 0, then node has been merged -* into the node -invp[node]; otherwise, -* -invp[node] is its inverse labelling. -* output parameters -- -* perm -- the permutation vector. -****************************************************************************/ -void mmdnum(int neqns, idxtype *perm, idxtype *invp, idxtype *qsize) -{ - int father, nextf, node, nqsize, num, root; - - for ( node = 1; node <= neqns; node++ ) { - nqsize = qsize[node]; - if ( nqsize <= 0 ) perm[node] = invp[node]; - if ( nqsize > 0 ) perm[node] = -invp[node]; - }; - - /* for each node which has been merged, do the following. */ - for ( node = 1; node <= neqns; node++ ) { - if ( perm[node] <= 0 ) { - - /* trace the merged tree until one which has not */ - /* been merged, call it root. */ - father = node; - while ( perm[father] <= 0 ) - father = - perm[father]; - - /* number node after root. */ - root = father; - num = perm[root] + 1; - invp[node] = -num; - perm[root] = num; - - /* shorten the merged tree. */ - father = node; - nextf = - perm[father]; - while ( nextf > 0 ) { - perm[father] = -root; - father = nextf; - nextf = -perm[father]; - }; - }; /* end of -- if ( perm[node] <= 0 ) -- */ - }; /* end of -- for ( node = 1; -- */ - - /* ready to compute perm. */ - for ( node = 1; node <= neqns; node++ ) { - num = -invp[node]; - invp[node] = num; - perm[num] = node; - }; - return; -} - -/**************************************************************************** -* mmdupd ---- multiple minimum degree update -* purpose -- this routine updates the degrees of nodes after a -* multiple elimination step. -* input parameters -- -* ehead -- the beginning of the list of eliminated nodes -* (i.e., newly formed elements). -* neqns -- number of equations. -* (xadj, adjncy) -- adjacency structure. -* delta -- tolerance value for multiple elimination. -* maxint -- maximum machine representable (short) integer. -* updated parameters -- -* mdeg -- new minimum degree after degree update. -* (head, forward, backward) -- degree doubly linked structure. -* qsize -- size of supernode. -* list -- marker vector for degree update. -* *tag -- tag value. -****************************************************************************/ -void mmdupd(int ehead, int neqns, idxtype *xadj, idxtype *adjncy, int delta, int *mdeg, - idxtype *head, idxtype *forward, idxtype *backward, idxtype *qsize, idxtype *list, - idxtype *marker, int maxint,int *tag) -{ - int deg, deg0, element, enode, fnode, i, iq2, istop, - istart, j, jstop, jstart, link, mdeg0, mtag, nabor, - node, q2head, qxhead; - - mdeg0 = *mdeg + delta; - element = ehead; - -n100: - if ( element <= 0 ) return; - - /* for each of the newly formed element, do the following. */ - /* reset tag value if necessary. */ - mtag = *tag + mdeg0; - if ( mtag >= maxint ) { - *tag = 1; - for ( i = 1; i <= neqns; i++ ) - if ( marker[i] < maxint ) marker[i] = 0; - mtag = *tag + mdeg0; - }; - - /* create two linked lists from nodes associated with 'element': */ - /* one with two nabors (q2head) in the adjacency structure, and the*/ - /* other with more than two nabors (qxhead). also compute 'deg0',*/ - /* number of nodes in this element. */ - q2head = 0; - qxhead = 0; - deg0 = 0; - link =element; - -n400: - istart = xadj[link]; - istop = xadj[link+1] - 1; - for ( i = istart; i <= istop; i++ ) { - enode = adjncy[i]; - link = -enode; - if ( enode < 0 ) goto n400; - if ( enode == 0 ) break; - if ( qsize[enode] != 0 ) { - deg0 += qsize[enode]; - marker[enode] = mtag; - - /*'enode' requires a degree update*/ - if ( backward[enode] == 0 ) { - /* place either in qxhead or q2head list. */ - if ( forward[enode] != 2 ) { - list[enode] = qxhead; - qxhead = enode; - } else { - list[enode] = q2head; - q2head = enode; - }; - }; - }; /* enf of -- if ( qsize[enode] != 0 ) -- */ - }; /* end of -- for ( i = istart; -- */ - - /* for each node in q2 list, do the following. */ - enode = q2head; - iq2 = 1; - -n900: - if ( enode <= 0 ) goto n1500; - if ( backward[enode] != 0 ) goto n2200; - (*tag)++; - deg = deg0; - - /* identify the other adjacent element nabor. */ - istart = xadj[enode]; - nabor = adjncy[istart]; - if ( nabor == element ) nabor = adjncy[istart+1]; - link = nabor; - if ( forward[nabor] >= 0 ) { - /* nabor is uneliminated, increase degree count. */ - deg += qsize[nabor]; - goto n2100; - }; - - /* the nabor is eliminated. for each node in the 2nd element */ - /* do the following. */ -n1000: - istart = xadj[link]; - istop = xadj[link+1] - 1; - for ( i = istart; i <= istop; i++ ) { - node = adjncy[i]; - link = -node; - if ( node != enode ) { - if ( node < 0 ) goto n1000; - if ( node == 0 ) goto n2100; - if ( qsize[node] != 0 ) { - if ( marker[node] < *tag ) { - /* 'node' is not yet considered. */ - marker[node] = *tag; - deg += qsize[node]; - } else { - if ( backward[node] == 0 ) { - if ( forward[node] == 2 ) { - /* 'node' is indistinguishable from 'enode'.*/ - /* merge them into a new supernode. */ - qsize[enode] += qsize[node]; - qsize[node] = 0; - marker[node] = maxint; - forward[node] = -enode; - backward[node] = -maxint; - } else { - /* 'node' is outmacthed by 'enode' */ - if (backward[node]==0) backward[node] = -maxint; - }; - }; /* end of -- if ( backward[node] == 0 ) -- */ - }; /* end of -- if ( marker[node] < *tag ) -- */ - }; /* end of -- if ( qsize[node] != 0 ) -- */ - }; /* end of -- if ( node != enode ) -- */ - }; /* end of -- for ( i = istart; -- */ - goto n2100; - -n1500: - /* for each 'enode' in the 'qx' list, do the following. */ - enode = qxhead; - iq2 = 0; - -n1600: if ( enode <= 0 ) goto n2300; - if ( backward[enode] != 0 ) goto n2200; - (*tag)++; - deg = deg0; - - /*for each unmarked nabor of 'enode', do the following.*/ - istart = xadj[enode]; - istop = xadj[enode+1] - 1; - for ( i = istart; i <= istop; i++ ) { - nabor = adjncy[i]; - if ( nabor == 0 ) break; - if ( marker[nabor] < *tag ) { - marker[nabor] = *tag; - link = nabor; - if ( forward[nabor] >= 0 ) - /*if uneliminated, include it in deg count.*/ - deg += qsize[nabor]; - else { -n1700: - /* if eliminated, include unmarked nodes in this*/ - /* element into the degree count. */ - jstart = xadj[link]; - jstop = xadj[link+1] - 1; - for ( j = jstart; j <= jstop; j++ ) { - node = adjncy[j]; - link = -node; - if ( node < 0 ) goto n1700; - if ( node == 0 ) break; - if ( marker[node] < *tag ) { - marker[node] = *tag; - deg += qsize[node]; - }; - }; /* end of -- for ( j = jstart; -- */ - }; /* end of -- if ( forward[nabor] >= 0 ) -- */ - }; /* end of -- if ( marker[nabor] < *tag ) -- */ - }; /* end of -- for ( i = istart; -- */ - -n2100: - /* update external degree of 'enode' in degree structure, */ - /* and '*mdeg' if necessary. */ - deg = deg - qsize[enode] + 1; - fnode = head[deg]; - forward[enode] = fnode; - backward[enode] = -deg; - if ( fnode > 0 ) backward[fnode] = enode; - head[deg] = enode; - if ( deg < *mdeg ) *mdeg = deg; - -n2200: - /* get next enode in current element. */ - enode = list[enode]; - if ( iq2 == 1 ) goto n900; - goto n1600; - -n2300: - /* get next element in the list. */ - *tag = mtag; - element = list[element]; - goto n100; - } diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mpmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mpmetis.c deleted file mode 100644 index 3b7aa9f..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mpmetis.c +++ /dev/null @@ -1,402 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mpmetis.c - * - * This file contains the top level routines for the multilevel recursive - * bisection algorithm PMETIS. - * - * Started 7/24/97 - * George - * - * $Id: mpmetis.c,v 1.1 2003/07/16 15:55:12 karypis Exp $ - * - */ - -#include <metis.h> - - - -/************************************************************************* -* This function is the entry point for PWMETIS that accepts exact weights -* for the target partitions -**************************************************************************/ -void METIS_mCPartGraphRecursive(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - int *options, int *edgecut, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_PMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = McPMETIS_CTYPE; - ctrl.IType = McPMETIS_ITYPE; - ctrl.RType = McPMETIS_RTYPE; - ctrl.dbglvl = McPMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_PMETIS; - ctrl.CoarsenTo = 100; - - ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - *edgecut = MCMlevelRecursiveBisection(&ctrl, &graph, *nparts, part, 1.000, 0); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - - -/************************************************************************* -* This function is the entry point for PWMETIS that accepts exact weights -* for the target partitions -**************************************************************************/ -void METIS_mCHPartGraphRecursive(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - float *ubvec, int *options, int *edgecut, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - float *myubvec; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_PMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = PMETIS_CTYPE; - ctrl.IType = PMETIS_ITYPE; - ctrl.RType = PMETIS_RTYPE; - ctrl.dbglvl = PMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_PMETIS; - ctrl.CoarsenTo = 100; - - ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo); - - myubvec = fmalloc(*ncon, "PWMETIS: mytpwgts"); - scopy(*ncon, ubvec, myubvec); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - *edgecut = MCHMlevelRecursiveBisection(&ctrl, &graph, *nparts, part, myubvec, 0); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - GKfree(&myubvec, LTERM); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - - -/************************************************************************* -* This function is the entry point for PWMETIS that accepts exact weights -* for the target partitions -**************************************************************************/ -void METIS_mCPartGraphRecursiveInternal(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, - float *nvwgt, idxtype *adjwgt, int *nparts, int *options, int *edgecut, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - - SetUpGraph2(&graph, *nvtxs, *ncon, xadj, adjncy, nvwgt, adjwgt); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = PMETIS_CTYPE; - ctrl.IType = PMETIS_ITYPE; - ctrl.RType = PMETIS_RTYPE; - ctrl.dbglvl = PMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_PMETIS; - ctrl.CoarsenTo = 100; - - ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - *edgecut = MCMlevelRecursiveBisection(&ctrl, &graph, *nparts, part, 1.000, 0); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - -} - - -/************************************************************************* -* This function is the entry point for PWMETIS that accepts exact weights -* for the target partitions -**************************************************************************/ -void METIS_mCHPartGraphRecursiveInternal(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, - float *nvwgt, idxtype *adjwgt, int *nparts, float *ubvec, int *options, int *edgecut, - idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - float *myubvec; - - SetUpGraph2(&graph, *nvtxs, *ncon, xadj, adjncy, nvwgt, adjwgt); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = PMETIS_CTYPE; - ctrl.IType = PMETIS_ITYPE; - ctrl.RType = PMETIS_RTYPE; - ctrl.dbglvl = PMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_PMETIS; - ctrl.CoarsenTo = 100; - - ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo); - - myubvec = fmalloc(*ncon, "PWMETIS: mytpwgts"); - scopy(*ncon, ubvec, myubvec); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - *edgecut = MCHMlevelRecursiveBisection(&ctrl, &graph, *nparts, part, myubvec, 0); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - GKfree(&myubvec, LTERM); - -} - - - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -int MCMlevelRecursiveBisection(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part, - float ubfactor, int fpart) -{ - int i, j, nvtxs, ncon, cut; - idxtype *label, *where; - GraphType lgraph, rgraph; - float tpwgts[2]; - - nvtxs = graph->nvtxs; - if (nvtxs == 0) { - printf("\t***Cannot bisect a graph with 0 vertices!\n\t***You are trying to partition a graph into too many parts!\n"); - return 0; - } - - /* Determine the weights of the partitions */ - tpwgts[0] = 1.0*(nparts>>1)/(1.0*nparts); - tpwgts[1] = 1.0 - tpwgts[0]; - - MCMlevelEdgeBisection(ctrl, graph, tpwgts, ubfactor); - cut = graph->mincut; - - label = graph->label; - where = graph->where; - for (i=0; i<nvtxs; i++) - part[label[i]] = where[i] + fpart; - - if (nparts > 2) - SplitGraphPart(ctrl, graph, &lgraph, &rgraph); - - /* Free the memory of the top level graph */ - GKfree(&graph->gdata, &graph->nvwgt, &graph->rdata, &graph->label, LTERM); - - - /* Do the recursive call */ - if (nparts > 3) { - cut += MCMlevelRecursiveBisection(ctrl, &lgraph, nparts/2, part, ubfactor, fpart); - cut += MCMlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, ubfactor, fpart+nparts/2); - } - else if (nparts == 3) { - cut += MCMlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, ubfactor, fpart+nparts/2); - GKfree(&lgraph.gdata, &lgraph.nvwgt, &lgraph.label, LTERM); - } - - return cut; - -} - - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -int MCHMlevelRecursiveBisection(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part, - float *ubvec, int fpart) -{ - int i, j, nvtxs, ncon, cut; - idxtype *label, *where; - GraphType lgraph, rgraph; - float tpwgts[2], *npwgts, *lubvec, *rubvec; - - lubvec = rubvec = NULL; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - if (nvtxs == 0) { - printf("\t***Cannot bisect a graph with 0 vertices!\n\t***You are trying to partition a graph into too many parts!\n"); - return 0; - } - - /* Determine the weights of the partitions */ - tpwgts[0] = 1.0*(nparts>>1)/(1.0*nparts); - tpwgts[1] = 1.0 - tpwgts[0]; - - /* For now, relax at the coarsest level only */ - if (nparts == 2) - MCHMlevelEdgeBisection(ctrl, graph, tpwgts, ubvec); - else - MCMlevelEdgeBisection(ctrl, graph, tpwgts, 1.000); - cut = graph->mincut; - - label = graph->label; - where = graph->where; - for (i=0; i<nvtxs; i++) - part[label[i]] = where[i] + fpart; - - if (nparts > 2) { - /* Adjust the ubvecs before the split */ - npwgts = graph->npwgts; - lubvec = fmalloc(ncon, "MCHMlevelRecursiveBisection"); - rubvec = fmalloc(ncon, "MCHMlevelRecursiveBisection"); - - for (i=0; i<ncon; i++) { - lubvec[i] = ubvec[i]*tpwgts[0]/npwgts[i]; - lubvec[i] = amax(lubvec[i], 1.01); - - rubvec[i] = ubvec[i]*tpwgts[1]/npwgts[ncon+i]; - rubvec[i] = amax(rubvec[i], 1.01); - } - - SplitGraphPart(ctrl, graph, &lgraph, &rgraph); - } - - /* Free the memory of the top level graph */ - GKfree(&graph->gdata, &graph->nvwgt, &graph->rdata, &graph->label, LTERM); - - - /* Do the recursive call */ - if (nparts > 3) { - cut += MCHMlevelRecursiveBisection(ctrl, &lgraph, nparts/2, part, lubvec, fpart); - cut += MCHMlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, rubvec, fpart+nparts/2); - } - else if (nparts == 3) { - cut += MCHMlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, rubvec, fpart+nparts/2); - GKfree(&lgraph.gdata, &lgraph.nvwgt, &lgraph.label, LTERM); - } - - GKfree(&lubvec, &rubvec, LTERM); - - return cut; - -} - - - - -/************************************************************************* -* This function performs multilevel bisection -**************************************************************************/ -void MCMlevelEdgeBisection(CtrlType *ctrl, GraphType *graph, float *tpwgts, float ubfactor) -{ - GraphType *cgraph; - - cgraph = MCCoarsen2Way(ctrl, graph); - - MocInit2WayPartition(ctrl, cgraph, tpwgts, ubfactor); - - MocRefine2Way(ctrl, graph, cgraph, tpwgts, ubfactor); - -} - - - -/************************************************************************* -* This function performs multilevel bisection -**************************************************************************/ -void MCHMlevelEdgeBisection(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *ubvec) -{ - int i; - GraphType *cgraph; - -/* - for (i=0; i<graph->ncon; i++) - printf("%.4f ", ubvec[i]); - printf("\n"); -*/ - - cgraph = MCCoarsen2Way(ctrl, graph); - - MocInit2WayPartition2(ctrl, cgraph, tpwgts, ubvec); - - MocRefine2Way2(ctrl, graph, cgraph, tpwgts, ubvec); - -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mrefine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mrefine.c deleted file mode 100644 index 3e28dc7..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mrefine.c +++ /dev/null @@ -1,219 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * refine.c - * - * This file contains the driving routines for multilevel refinement - * - * Started 7/24/97 - * George - * - * $Id: mrefine.c,v 1.1 2003/07/24 18:39:10 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of refinement -**************************************************************************/ -void MocRefine2Way(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, float *tpwgts, float ubfactor) -{ - int i; - float tubvec[MAXNCON]; - - for (i=0; i<graph->ncon; i++) - tubvec[i] = 1.0; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); - - /* Compute the parameters of the coarsest graph */ - MocCompute2WayPartitionParams(ctrl, graph); - - for (;;) { - ASSERT(CheckBnd(graph)); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); - switch (ctrl->RType) { - case RTYPE_FM: - MocBalance2Way(ctrl, graph, tpwgts, 1.03); - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 8); - break; - case 2: - MocBalance2Way(ctrl, graph, tpwgts, 1.03); - MocFM_2WayEdgeRefine2(ctrl, graph, tpwgts, tubvec, 8); - break; - default: - errexit("Unknown refinement type: %d\n", ctrl->RType); - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); - - if (graph == orggraph) - break; - - graph = graph->finer; - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - MocProject2WayPartition(ctrl, graph); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); - } - - MocBalance2Way(ctrl, graph, tpwgts, 1.01); - MocFM_2WayEdgeRefine(ctrl, graph, tpwgts, 8); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); -} - - -/************************************************************************* -* This function allocates memory for 2-way edge refinement -**************************************************************************/ -void MocAllocate2WayPartitionMemory(CtrlType *ctrl, GraphType *graph) -{ - int nvtxs, ncon; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - - graph->rdata = idxmalloc(5*nvtxs, "Allocate2WayPartitionMemory: rdata"); - graph->where = graph->rdata; - graph->id = graph->rdata + nvtxs; - graph->ed = graph->rdata + 2*nvtxs; - graph->bndptr = graph->rdata + 3*nvtxs; - graph->bndind = graph->rdata + 4*nvtxs; - - graph->npwgts = fmalloc(2*ncon, "npwgts"); -} - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void MocCompute2WayPartitionParams(CtrlType *ctrl, GraphType *graph) -{ - int i, j, k, l, nvtxs, ncon, nbnd, mincut; - idxtype *xadj, *adjncy, *adjwgt; - float *nvwgt, *npwgts; - idxtype *id, *ed, *where; - idxtype *bndptr, *bndind; - int me, other; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - npwgts = sset(2*ncon, 0.0, graph->npwgts); - id = idxset(nvtxs, 0, graph->id); - ed = idxset(nvtxs, 0, graph->ed); - bndptr = idxset(nvtxs, -1, graph->bndptr); - bndind = graph->bndind; - - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - nbnd = mincut = 0; - for (i=0; i<nvtxs; i++) { - ASSERT(where[i] >= 0 && where[i] <= 1); - me = where[i]; - saxpy(ncon, 1.0, nvwgt+i*ncon, 1, npwgts+me*ncon, 1); - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me == where[adjncy[j]]) - id[i] += adjwgt[j]; - else - ed[i] += adjwgt[j]; - } - - if (ed[i] > 0 || xadj[i] == xadj[i+1]) { - mincut += ed[i]; - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - } - - graph->mincut = mincut/2; - graph->nbnd = nbnd; - -} - - - -/************************************************************************* -* This function projects a partition, and at the same time computes the -* parameters for refinement. -**************************************************************************/ -void MocProject2WayPartition(CtrlType *ctrl, GraphType *graph) -{ - int i, j, k, nvtxs, nbnd, me; - idxtype *xadj, *adjncy, *adjwgt, *adjwgtsum; - idxtype *cmap, *where, *id, *ed, *bndptr, *bndind; - idxtype *cwhere, *cid, *ced, *cbndptr; - GraphType *cgraph; - - cgraph = graph->coarser; - cwhere = cgraph->where; - cid = cgraph->id; - ced = cgraph->ed; - cbndptr = cgraph->bndptr; - - nvtxs = graph->nvtxs; - cmap = graph->cmap; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - - MocAllocate2WayPartitionMemory(ctrl, graph); - - where = graph->where; - id = idxset(nvtxs, 0, graph->id); - ed = idxset(nvtxs, 0, graph->ed); - bndptr = idxset(nvtxs, -1, graph->bndptr); - bndind = graph->bndind; - - - /* Go through and project partition and compute id/ed for the nodes */ - for (i=0; i<nvtxs; i++) { - k = cmap[i]; - where[i] = cwhere[k]; - cmap[i] = cbndptr[k]; - } - - for (nbnd=0, i=0; i<nvtxs; i++) { - me = where[i]; - - id[i] = adjwgtsum[i]; - - if (xadj[i] == xadj[i+1]) { - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - else { - if (cmap[i] != -1) { /* If it is an interface node. Note that cmap[i] = cbndptr[cmap[i]] */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me != where[adjncy[j]]) - ed[i] += adjwgt[j]; - } - id[i] -= ed[i]; - - if (ed[i] > 0 || xadj[i] == xadj[i+1]) { - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - } - } - } - - graph->mincut = cgraph->mincut; - graph->nbnd = nbnd; - scopy(2*graph->ncon, cgraph->npwgts, graph->npwgts); - - FreeGraph(graph->coarser); - graph->coarser = NULL; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mrefine2.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mrefine2.c deleted file mode 100644 index 91ad0b5..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mrefine2.c +++ /dev/null @@ -1,55 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mrefine2.c - * - * This file contains the driving routines for multilevel refinement - * - * Started 7/24/97 - * George - * - * $Id: mrefine2.c,v 1.1 2003/07/16 15:55:12 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of refinement -**************************************************************************/ -void MocRefine2Way2(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, float *tpwgts, - float *ubvec) -{ - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); - - /* Compute the parameters of the coarsest graph */ - MocCompute2WayPartitionParams(ctrl, graph); - - for (;;) { - ASSERT(CheckBnd(graph)); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); - switch (ctrl->RType) { - case RTYPE_FM: - MocBalance2Way2(ctrl, graph, tpwgts, ubvec); - MocFM_2WayEdgeRefine2(ctrl, graph, tpwgts, ubvec, 8); - break; - default: - errexit("Unknown refinement type: %d\n", ctrl->RType); - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); - - if (graph == orggraph) - break; - - graph = graph->finer; - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - MocProject2WayPartition(ctrl, graph); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mutil.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mutil.c deleted file mode 100644 index 68dc5c5..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mutil.c +++ /dev/null @@ -1,101 +0,0 @@ -/* - * mutil.c - * - * This file contains various utility functions for the MOC portion of the - * code - * - * Started 2/15/98 - * George - * - * $Id: mutil.c,v 1.1 2003/07/16 15:55:13 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function checks if the vertex weights of two vertices are below -* a given set of values -**************************************************************************/ -int AreAllVwgtsBelow(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float limit) -{ - int i; - - for (i=0; i<ncon; i++) - if (alpha*vwgt1[i] + beta*vwgt2[i] > limit) - return 0; - - return 1; -} - - -/************************************************************************* -* This function checks if the vertex weights of two vertices are below -* a given set of values -**************************************************************************/ -int AreAnyVwgtsBelow(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float limit) -{ - int i; - - for (i=0; i<ncon; i++) - if (alpha*vwgt1[i] + beta*vwgt2[i] < limit) - return 1; - - return 0; -} - - - -/************************************************************************* -* This function checks if the vertex weights of two vertices are above -* a given set of values -**************************************************************************/ -int AreAllVwgtsAbove(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float limit) -{ - int i; - - for (i=0; i<ncon; i++) - if (alpha*vwgt1[i] + beta*vwgt2[i] < limit) - return 0; - - return 1; -} - - -/************************************************************************* -* This function computes the load imbalance over all the constrains -* For now assume that we just want balanced partitionings -**************************************************************************/ -float ComputeLoadImbalance(int ncon, int nparts, float *npwgts, float *tpwgts) -{ - int i, j; - float max, lb=0.0; - - for (i=0; i<ncon; i++) { - max = 0.0; - for (j=0; j<nparts; j++) { - if (npwgts[j*ncon+i] > max) - max = npwgts[j*ncon+i]; - } - if (max*nparts > lb) - lb = max*nparts; - } - - return lb; -} - -/************************************************************************* -* This function checks if the vertex weights of two vertices are below -* a given set of values -**************************************************************************/ -int AreAllBelow(int ncon, float *v1, float *v2) -{ - int i; - - for (i=0; i<ncon; i++) - if (v1[i] > v2[i]) - return 0; - - return 1; -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/myqsort.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/myqsort.c deleted file mode 100644 index a6939ce..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/myqsort.c +++ /dev/null @@ -1,547 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * myqsort.c - * - * This file contains a fast idxtype increasing qsort algorithm. - * Addopted from TeX - * - * Started 10/18/96 - * George - * - * $Id: myqsort.c,v 1.1 2003/07/16 15:55:13 karypis Exp $ - */ - -#include <metis.h> /* only for type declarations */ - -#define THRESH 1 /* threshold for insertion */ -#define MTHRESH 6 /* threshold for median */ - - - - -static void siqst(idxtype *, idxtype *); -static void iiqst(int *, int *); -static void keyiqst(KeyValueType *, KeyValueType *); -static void keyvaliqst(KeyValueType *, KeyValueType *); - - -/************************************************************************* -* Entry point of idxtype increasing sort -**************************************************************************/ -void iidxsort(int n, idxtype *base) -{ - register idxtype *i; - register idxtype *j; - register idxtype *lo; - register idxtype *hi; - register idxtype *min; - register idxtype c; - idxtype *max; - - if (n <= 1) - return; - - max = base + n; - - if (n >= THRESH) { - siqst(base, max); - hi = base + THRESH; - } - else - hi = max; - - for (j = lo = base; lo++ < hi;) { - if (*j > *lo) - j = lo; - } - if (j != base) { /* swap j into place */ - c = *base; - *base = *j; - *j = c; - } - - for (min = base; (hi = min += 1) < max;) { - while (*(--hi) > *min); - if ((hi += 1) != min) { - for (lo = min + 1; --lo >= min;) { - c = *lo; - for (i = j = lo; (j -= 1) >= hi; i = j) - *i = *j; - *i = c; - } - } - } -} - -static void siqst(idxtype *base, idxtype *max) -{ - register idxtype *i; - register idxtype *j; - register idxtype *jj; - register idxtype *mid; - register int ii; - register idxtype c; - idxtype *tmp; - int lo; - int hi; - - lo = max - base; /* number of elements as idxtype */ - do { - mid = base + ((unsigned) lo>>1); - if (lo >= MTHRESH) { - j = (*base > *mid ? base : mid); - tmp = max - 1; - if (*j > *tmp) { - j = (j == base ? mid : base); /* switch to first loser */ - if (*j < *tmp) - j = tmp; - } - - if (j != mid) { /* SWAP */ - c = *mid; - *mid = *j; - *j = c; - } - } - - /* Semi-standard quicksort partitioning/swapping */ - for (i = base, j = max - 1;;) { - while (i < mid && *i <= *mid) - i++; - while (j > mid) { - if (*mid <= *j) { - j--; - continue; - } - tmp = i + 1; /* value of i after swap */ - if (i == mid) /* j <-> mid, new mid is j */ - mid = jj = j; - else /* i <-> j */ - jj = j--; - goto swap; - } - - if (i == mid) - break; - else { /* i <-> mid, new mid is i */ - jj = mid; - tmp = mid = i; /* value of i after swap */ - j--; - } -swap: - c = *i; - *i = *jj; - *jj = c; - i = tmp; - } - - i = (j = mid) + 1; - if ((lo = j - base) <= (hi = max - i)) { - if (lo >= THRESH) - siqst(base, j); - base = i; - lo = hi; - } - else { - if (hi >= THRESH) - siqst(i, max); - max = j; - } - } while (lo >= THRESH); -} - - - - - -/************************************************************************* -* Entry point of int increasing sort -**************************************************************************/ -void iintsort(int n, int *base) -{ - register int *i; - register int *j; - register int *lo; - register int *hi; - register int *min; - register int c; - int *max; - - if (n <= 1) - return; - - max = base + n; - - if (n >= THRESH) { - iiqst(base, max); - hi = base + THRESH; - } - else - hi = max; - - for (j = lo = base; lo++ < hi;) { - if (*j > *lo) - j = lo; - } - if (j != base) { /* swap j into place */ - c = *base; - *base = *j; - *j = c; - } - - for (min = base; (hi = min += 1) < max;) { - while (*(--hi) > *min); - if ((hi += 1) != min) { - for (lo = min + 1; --lo >= min;) { - c = *lo; - for (i = j = lo; (j -= 1) >= hi; i = j) - *i = *j; - *i = c; - } - } - } -} - - -static void iiqst(int *base, int *max) -{ - register int *i; - register int *j; - register int *jj; - register int *mid; - register int ii; - register int c; - int *tmp; - int lo; - int hi; - - lo = max - base; /* number of elements as ints */ - do { - mid = base + ((unsigned) lo>>1); - if (lo >= MTHRESH) { - j = (*base > *mid ? base : mid); - tmp = max - 1; - if (*j > *tmp) { - j = (j == base ? mid : base); /* switch to first loser */ - if (*j < *tmp) - j = tmp; - } - - if (j != mid) { /* SWAP */ - c = *mid; - *mid = *j; - *j = c; - } - } - - /* Semi-standard quicksort partitioning/swapping */ - for (i = base, j = max - 1;;) { - while (i < mid && *i <= *mid) - i++; - while (j > mid) { - if (*mid <= *j) { - j--; - continue; - } - tmp = i + 1; /* value of i after swap */ - if (i == mid) /* j <-> mid, new mid is j */ - mid = jj = j; - else /* i <-> j */ - jj = j--; - goto swap; - } - - if (i == mid) - break; - else { /* i <-> mid, new mid is i */ - jj = mid; - tmp = mid = i; /* value of i after swap */ - j--; - } -swap: - c = *i; - *i = *jj; - *jj = c; - i = tmp; - } - - i = (j = mid) + 1; - if ((lo = j - base) <= (hi = max - i)) { - if (lo >= THRESH) - iiqst(base, j); - base = i; - lo = hi; - } - else { - if (hi >= THRESH) - iiqst(i, max); - max = j; - } - } while (lo >= THRESH); -} - - - - - -/************************************************************************* -* Entry point of KeyVal increasing sort, ONLY key part -**************************************************************************/ -void ikeysort(int n, KeyValueType *base) -{ - register KeyValueType *i; - register KeyValueType *j; - register KeyValueType *lo; - register KeyValueType *hi; - register KeyValueType *min; - register KeyValueType c; - KeyValueType *max; - - if (n <= 1) - return; - - max = base + n; - - if (n >= THRESH) { - keyiqst(base, max); - hi = base + THRESH; - } - else - hi = max; - - for (j = lo = base; lo++ < hi;) { - if (j->key > lo->key) - j = lo; - } - if (j != base) { /* swap j into place */ - c = *base; - *base = *j; - *j = c; - } - - for (min = base; (hi = min += 1) < max;) { - while ((--hi)->key > min->key); - if ((hi += 1) != min) { - for (lo = min + 1; --lo >= min;) { - c = *lo; - for (i = j = lo; (j -= 1) >= hi; i = j) - *i = *j; - *i = c; - } - } - } - - /* Sanity check */ - { - int i; - for (i=0; i<n-1; i++) - if (base[i].key > base[i+1].key) - printf("Something went wrong!\n"); - } -} - - -static void keyiqst(KeyValueType *base, KeyValueType *max) -{ - register KeyValueType *i; - register KeyValueType *j; - register KeyValueType *jj; - register KeyValueType *mid; - register KeyValueType c; - KeyValueType *tmp; - int lo; - int hi; - - lo = (max - base)>>1; /* number of elements as KeyValueType */ - do { - mid = base + ((unsigned) lo>>1); - if (lo >= MTHRESH) { - j = (base->key > mid->key ? base : mid); - tmp = max - 1; - if (j->key > tmp->key) { - j = (j == base ? mid : base); /* switch to first loser */ - if (j->key < tmp->key) - j = tmp; - } - - if (j != mid) { /* SWAP */ - c = *mid; - *mid = *j; - *j = c; - } - } - - /* Semi-standard quicksort partitioning/swapping */ - for (i = base, j = max - 1;;) { - while (i < mid && i->key <= mid->key) - i++; - while (j > mid) { - if (mid->key <= j->key) { - j--; - continue; - } - tmp = i + 1; /* value of i after swap */ - if (i == mid) /* j <-> mid, new mid is j */ - mid = jj = j; - else /* i <-> j */ - jj = j--; - goto swap; - } - - if (i == mid) - break; - else { /* i <-> mid, new mid is i */ - jj = mid; - tmp = mid = i; /* value of i after swap */ - j--; - } -swap: - c = *i; - *i = *jj; - *jj = c; - i = tmp; - } - - i = (j = mid) + 1; - if ((lo = (j - base)>>1) <= (hi = (max - i)>>1)) { - if (lo >= THRESH) - keyiqst(base, j); - base = i; - lo = hi; - } - else { - if (hi >= THRESH) - keyiqst(i, max); - max = j; - } - } while (lo >= THRESH); -} - - - - -/************************************************************************* -* Entry point of KeyVal increasing sort, BOTH key and val part -**************************************************************************/ -void ikeyvalsort(int n, KeyValueType *base) -{ - register KeyValueType *i; - register KeyValueType *j; - register KeyValueType *lo; - register KeyValueType *hi; - register KeyValueType *min; - register KeyValueType c; - KeyValueType *max; - - if (n <= 1) - return; - - max = base + n; - - if (n >= THRESH) { - keyvaliqst(base, max); - hi = base + THRESH; - } - else - hi = max; - - for (j = lo = base; lo++ < hi;) { - if ((j->key > lo->key) || (j->key == lo->key && j->val > lo->val)) - j = lo; - } - if (j != base) { /* swap j into place */ - c = *base; - *base = *j; - *j = c; - } - - for (min = base; (hi = min += 1) < max;) { - while ((--hi)->key > min->key || (hi->key == min->key && hi->val > min->val)); - if ((hi += 1) != min) { - for (lo = min + 1; --lo >= min;) { - c = *lo; - for (i = j = lo; (j -= 1) >= hi; i = j) - *i = *j; - *i = c; - } - } - } -} - - -static void keyvaliqst(KeyValueType *base, KeyValueType *max) -{ - register KeyValueType *i; - register KeyValueType *j; - register KeyValueType *jj; - register KeyValueType *mid; - register KeyValueType c; - KeyValueType *tmp; - int lo; - int hi; - - lo = (max - base)>>1; /* number of elements as KeyValueType */ - do { - mid = base + ((unsigned) lo>>1); - if (lo >= MTHRESH) { - j = (base->key > mid->key || (base->key == mid->key && base->val > mid->val) ? base : mid); - tmp = max - 1; - if (j->key > tmp->key || (j->key == tmp->key && j->val > tmp->val)) { - j = (j == base ? mid : base); /* switch to first loser */ - if (j->key < tmp->key || (j->key == tmp->key && j->val < tmp->val)) - j = tmp; - } - - if (j != mid) { /* SWAP */ - c = *mid; - *mid = *j; - *j = c; - } - } - - /* Semi-standard quicksort partitioning/swapping */ - for (i = base, j = max - 1;;) { - while (i < mid && (i->key < mid->key || (i->key == mid->key && i->val <= mid->val))) - i++; - while (j > mid) { - if (mid->key < j->key || (mid->key == j->key && mid->val <= j->val)) { - j--; - continue; - } - tmp = i + 1; /* value of i after swap */ - if (i == mid) /* j <-> mid, new mid is j */ - mid = jj = j; - else /* i <-> j */ - jj = j--; - goto swap; - } - - if (i == mid) - break; - else { /* i <-> mid, new mid is i */ - jj = mid; - tmp = mid = i; /* value of i after swap */ - j--; - } -swap: - c = *i; - *i = *jj; - *jj = c; - i = tmp; - } - - i = (j = mid) + 1; - if ((lo = (j - base)>>1) <= (hi = (max - i)>>1)) { - if (lo >= THRESH) - keyvaliqst(base, j); - base = i; - lo = hi; - } - else { - if (hi >= THRESH) - keyvaliqst(i, max); - max = j; - } - } while (lo >= THRESH); -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/ometis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/ometis.c deleted file mode 100644 index e972e88..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/ometis.c +++ /dev/null @@ -1,764 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * ometis.c - * - * This file contains the top level routines for the multilevel recursive - * bisection algorithm PMETIS. - * - * Started 7/24/97 - * George - * - * $Id: ometis.c,v 1.2 2003/07/31 06:14:01 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point for OEMETIS -**************************************************************************/ -void METIS_EdgeND(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, - idxtype *perm, idxtype *iperm) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_OEMETIS, *nvtxs, 1, xadj, adjncy, NULL, NULL, 0); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = OEMETIS_CTYPE; - ctrl.IType = OEMETIS_ITYPE; - ctrl.RType = OEMETIS_RTYPE; - ctrl.dbglvl = OEMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.oflags = 0; - ctrl.pfactor = -1; - ctrl.nseps = 1; - - ctrl.optype = OP_OEMETIS; - ctrl.CoarsenTo = 20; - ctrl.maxvwgt = 1.5*(idxsum(*nvtxs, graph.vwgt)/ctrl.CoarsenTo); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, 2); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - MlevelNestedDissection(&ctrl, &graph, iperm, ORDER_UNBALANCE_FRACTION, *nvtxs); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - for (i=0; i<*nvtxs; i++) - perm[iperm[i]] = i; - - FreeWorkSpace(&ctrl, &graph); - - if (*numflag == 1) - Change2FNumberingOrder(*nvtxs, xadj, adjncy, perm, iperm); -} - - -/************************************************************************* -* This function is the entry point for ONCMETIS -**************************************************************************/ -void METIS_NodeND(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, - idxtype *perm, idxtype *iperm) -{ - int i, ii, j, l, wflag, nflag; - GraphType graph; - CtrlType ctrl; - idxtype *cptr, *cind, *piperm; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = ONMETIS_CTYPE; - ctrl.IType = ONMETIS_ITYPE; - ctrl.RType = ONMETIS_RTYPE; - ctrl.dbglvl = ONMETIS_DBGLVL; - ctrl.oflags = ONMETIS_OFLAGS; - ctrl.pfactor = ONMETIS_PFACTOR; - ctrl.nseps = ONMETIS_NSEPS; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - ctrl.oflags = options[OPTION_OFLAGS]; - ctrl.pfactor = options[OPTION_PFACTOR]; - ctrl.nseps = options[OPTION_NSEPS]; - } - if (ctrl.nseps < 1) - ctrl.nseps = 1; - - ctrl.optype = OP_ONMETIS; - ctrl.CoarsenTo = 100; - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - InitRandom(-1); - - if (ctrl.pfactor > 0) { - /*============================================================ - * Prune the dense columns - ==============================================================*/ - piperm = idxmalloc(*nvtxs, "ONMETIS: piperm"); - - PruneGraph(&ctrl, &graph, *nvtxs, xadj, adjncy, piperm, (float)(0.1*ctrl.pfactor)); - } - else if (ctrl.oflags&OFLAG_COMPRESS) { - /*============================================================ - * Compress the graph - ==============================================================*/ - cptr = idxmalloc(*nvtxs+1, "ONMETIS: cptr"); - cind = idxmalloc(*nvtxs, "ONMETIS: cind"); - - CompressGraph(&ctrl, &graph, *nvtxs, xadj, adjncy, cptr, cind); - - if (graph.nvtxs >= COMPRESSION_FRACTION*(*nvtxs)) { - ctrl.oflags--; /* We actually performed no compression */ - GKfree(&cptr, &cind, LTERM); - } - else if (2*graph.nvtxs < *nvtxs && ctrl.nseps == 1) - ctrl.nseps = 2; - } - else { - SetUpGraph(&graph, OP_ONMETIS, *nvtxs, 1, xadj, adjncy, NULL, NULL, 0); - } - - - /*============================================================= - * Do the nested dissection ordering - --=============================================================*/ - ctrl.maxvwgt = 1.5*(idxsum(graph.nvtxs, graph.vwgt)/ctrl.CoarsenTo); - AllocateWorkSpace(&ctrl, &graph, 2); - - if (ctrl.oflags&OFLAG_CCMP) - MlevelNestedDissectionCC(&ctrl, &graph, iperm, ORDER_UNBALANCE_FRACTION, graph.nvtxs); - else - MlevelNestedDissection(&ctrl, &graph, iperm, ORDER_UNBALANCE_FRACTION, graph.nvtxs); - - FreeWorkSpace(&ctrl, &graph); - - if (ctrl.pfactor > 0) { /* Order any prunned vertices */ - if (graph.nvtxs < *nvtxs) { - idxcopy(graph.nvtxs, iperm, perm); /* Use perm as an auxiliary array */ - for (i=0; i<graph.nvtxs; i++) - iperm[piperm[i]] = perm[i]; - for (i=graph.nvtxs; i<*nvtxs; i++) - iperm[piperm[i]] = i; - } - - GKfree(&piperm, LTERM); - } - else if (ctrl.oflags&OFLAG_COMPRESS) { /* Uncompress the ordering */ - if (graph.nvtxs < COMPRESSION_FRACTION*(*nvtxs)) { - /* construct perm from iperm */ - for (i=0; i<graph.nvtxs; i++) - perm[iperm[i]] = i; - for (l=ii=0; ii<graph.nvtxs; ii++) { - i = perm[ii]; - for (j=cptr[i]; j<cptr[i+1]; j++) - iperm[cind[j]] = l++; - } - } - - GKfree(&cptr, &cind, LTERM); - } - - - for (i=0; i<*nvtxs; i++) - perm[iperm[i]] = i; - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - if (*numflag == 1) - Change2FNumberingOrder(*nvtxs, xadj, adjncy, perm, iperm); - -} - - -/************************************************************************* -* This function is the entry point for ONWMETIS. It requires weights on the -* vertices. It is for the case that the matrix has been pre-compressed. -**************************************************************************/ -void METIS_NodeWND(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, int *numflag, - int *options, idxtype *perm, idxtype *iperm) -{ - int i, j, tvwgt; - GraphType graph; - CtrlType ctrl; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_ONMETIS, *nvtxs, 1, xadj, adjncy, vwgt, NULL, 2); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = ONMETIS_CTYPE; - ctrl.IType = ONMETIS_ITYPE; - ctrl.RType = ONMETIS_RTYPE; - ctrl.dbglvl = ONMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - - ctrl.oflags = OFLAG_COMPRESS; - ctrl.pfactor = 0; - ctrl.nseps = 2; - ctrl.optype = OP_ONMETIS; - ctrl.CoarsenTo = 100; - ctrl.maxvwgt = 1.5*(idxsum(*nvtxs, graph.vwgt)/ctrl.CoarsenTo); - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, 2); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - MlevelNestedDissection(&ctrl, &graph, iperm, ORDER_UNBALANCE_FRACTION, *nvtxs); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - for (i=0; i<*nvtxs; i++) - perm[iperm[i]] = i; - - FreeWorkSpace(&ctrl, &graph); - - if (*numflag == 1) - Change2FNumberingOrder(*nvtxs, xadj, adjncy, perm, iperm); -} - - - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -void MlevelNestedDissection(CtrlType *ctrl, GraphType *graph, idxtype *order, float ubfactor, int lastvtx) -{ - int i, j, nvtxs, nbnd, tvwgt, tpwgts2[2]; - idxtype *label, *bndind; - GraphType lgraph, rgraph; - - nvtxs = graph->nvtxs; - - /* Determine the weights of the partitions */ - tvwgt = idxsum(nvtxs, graph->vwgt); - tpwgts2[0] = tvwgt/2; - tpwgts2[1] = tvwgt-tpwgts2[0]; - - switch (ctrl->optype) { - case OP_OEMETIS: - MlevelEdgeBisection(ctrl, graph, tpwgts2, ubfactor); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->SepTmr)); - ConstructMinCoverSeparator(ctrl, graph, ubfactor); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->SepTmr)); - - break; - case OP_ONMETIS: - MlevelNodeBisectionMultiple(ctrl, graph, tpwgts2, ubfactor); - - IFSET(ctrl->dbglvl, DBG_SEPINFO, printf("Nvtxs: %6d, [%6d %6d %6d]\n", graph->nvtxs, graph->pwgts[0], graph->pwgts[1], graph->pwgts[2])); - - break; - } - - /* Order the nodes in the separator */ - nbnd = graph->nbnd; - bndind = graph->bndind; - label = graph->label; - for (i=0; i<nbnd; i++) - order[label[bndind[i]]] = --lastvtx; - - SplitGraphOrder(ctrl, graph, &lgraph, &rgraph); - - /* Free the memory of the top level graph */ - GKfree(&graph->gdata, &graph->rdata, &graph->label, LTERM); - - if (rgraph.nvtxs > MMDSWITCH) - MlevelNestedDissection(ctrl, &rgraph, order, ubfactor, lastvtx); - else { - MMDOrder(ctrl, &rgraph, order, lastvtx); - GKfree(&rgraph.gdata, &rgraph.rdata, &rgraph.label, LTERM); - } - if (lgraph.nvtxs > MMDSWITCH) - MlevelNestedDissection(ctrl, &lgraph, order, ubfactor, lastvtx-rgraph.nvtxs); - else { - MMDOrder(ctrl, &lgraph, order, lastvtx-rgraph.nvtxs); - GKfree(&lgraph.gdata, &lgraph.rdata, &lgraph.label, LTERM); - } -} - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -void MlevelNestedDissectionCC(CtrlType *ctrl, GraphType *graph, idxtype *order, float ubfactor, int lastvtx) -{ - int i, j, nvtxs, nbnd, tvwgt, tpwgts2[2], nsgraphs, ncmps, rnvtxs; - idxtype *label, *bndind; - idxtype *cptr, *cind; - GraphType *sgraphs; - - nvtxs = graph->nvtxs; - - /* Determine the weights of the partitions */ - tvwgt = idxsum(nvtxs, graph->vwgt); - tpwgts2[0] = tvwgt/2; - tpwgts2[1] = tvwgt-tpwgts2[0]; - - MlevelNodeBisectionMultiple(ctrl, graph, tpwgts2, ubfactor); - IFSET(ctrl->dbglvl, DBG_SEPINFO, printf("Nvtxs: %6d, [%6d %6d %6d]\n", graph->nvtxs, graph->pwgts[0], graph->pwgts[1], graph->pwgts[2])); - - /* Order the nodes in the separator */ - nbnd = graph->nbnd; - bndind = graph->bndind; - label = graph->label; - for (i=0; i<nbnd; i++) - order[label[bndind[i]]] = --lastvtx; - - cptr = idxmalloc(nvtxs+1, "MlevelNestedDissectionCC: cptr"); - cind = idxmalloc(nvtxs, "MlevelNestedDissectionCC: cind"); - ncmps = FindComponents(ctrl, graph, cptr, cind); - -/* - if (ncmps > 2) - printf("[%5d] has %3d components\n", nvtxs, ncmps); -*/ - - sgraphs = (GraphType *)GKmalloc(ncmps*sizeof(GraphType), "MlevelNestedDissectionCC: sgraphs"); - - nsgraphs = SplitGraphOrderCC(ctrl, graph, sgraphs, ncmps, cptr, cind); - - GKfree(&cptr, &cind, LTERM); - - /* Free the memory of the top level graph */ - GKfree(&graph->gdata, &graph->rdata, &graph->label, LTERM); - - /* Go and process the subgraphs */ - for (rnvtxs=i=0; i<nsgraphs; i++) { - if (sgraphs[i].adjwgt == NULL) { - MMDOrder(ctrl, sgraphs+i, order, lastvtx-rnvtxs); - GKfree(&sgraphs[i].gdata, &sgraphs[i].label, LTERM); - } - else { - MlevelNestedDissectionCC(ctrl, sgraphs+i, order, ubfactor, lastvtx-rnvtxs); - } - rnvtxs += sgraphs[i].nvtxs; - } - - free(sgraphs); -} - - - -/************************************************************************* -* This function performs multilevel bisection. It performs multiple -* bisections and selects the best. -**************************************************************************/ -void MlevelNodeBisectionMultiple(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor) -{ - int i, nvtxs, cnvtxs, mincut, tmp; - GraphType *cgraph; - idxtype *bestwhere; - - if (ctrl->nseps == 1 || graph->nvtxs < (ctrl->oflags&OFLAG_COMPRESS ? 1000 : 2000)) { - MlevelNodeBisection(ctrl, graph, tpwgts, ubfactor); - return; - } - - nvtxs = graph->nvtxs; - - if (ctrl->oflags&OFLAG_COMPRESS) { /* Multiple separators at the original graph */ - bestwhere = idxmalloc(nvtxs, "MlevelNodeBisection2: bestwhere"); - mincut = nvtxs; - - for (i=ctrl->nseps; i>0; i--) { - MlevelNodeBisection(ctrl, graph, tpwgts, ubfactor); - - /* printf("%5d ", cgraph->mincut); */ - - if (graph->mincut < mincut) { - mincut = graph->mincut; - idxcopy(nvtxs, graph->where, bestwhere); - } - - GKfree(&graph->rdata, LTERM); - - if (mincut == 0) - break; - } - /* printf("[%5d]\n", mincut); */ - - Allocate2WayNodePartitionMemory(ctrl, graph); - idxcopy(nvtxs, bestwhere, graph->where); - free(bestwhere); - - Compute2WayNodePartitionParams(ctrl, graph); - } - else { /* Coarsen it a bit */ - ctrl->CoarsenTo = nvtxs-1; - - cgraph = Coarsen2Way(ctrl, graph); - - cnvtxs = cgraph->nvtxs; - - bestwhere = idxmalloc(cnvtxs, "MlevelNodeBisection2: bestwhere"); - mincut = nvtxs; - - for (i=ctrl->nseps; i>0; i--) { - ctrl->CType += 20; /* This is a hack. Look at coarsen.c */ - MlevelNodeBisection(ctrl, cgraph, tpwgts, ubfactor); - - /* printf("%5d ", cgraph->mincut); */ - - if (cgraph->mincut < mincut) { - mincut = cgraph->mincut; - idxcopy(cnvtxs, cgraph->where, bestwhere); - } - - GKfree(&cgraph->rdata, LTERM); - - if (mincut == 0) - break; - } - /* printf("[%5d]\n", mincut); */ - - Allocate2WayNodePartitionMemory(ctrl, cgraph); - idxcopy(cnvtxs, bestwhere, cgraph->where); - free(bestwhere); - - Compute2WayNodePartitionParams(ctrl, cgraph); - - Refine2WayNode(ctrl, graph, cgraph, ubfactor); - } - -} - -/************************************************************************* -* This function performs multilevel bisection -**************************************************************************/ -void MlevelNodeBisection(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor) -{ - GraphType *cgraph; - - ctrl->CoarsenTo = graph->nvtxs/8; - if (ctrl->CoarsenTo > 100) - ctrl->CoarsenTo = 100; - else if (ctrl->CoarsenTo < 40) - ctrl->CoarsenTo = 40; - ctrl->maxvwgt = 1.5*((tpwgts[0]+tpwgts[1])/ctrl->CoarsenTo); - - cgraph = Coarsen2Way(ctrl, graph); - - switch (ctrl->IType) { - case IPART_GGPKL: - Init2WayPartition(ctrl, cgraph, tpwgts, ubfactor); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->SepTmr)); - - Compute2WayPartitionParams(ctrl, cgraph); - ConstructSeparator(ctrl, cgraph, ubfactor); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->SepTmr)); - break; - case IPART_GGPKLNODE: - InitSeparator(ctrl, cgraph, ubfactor); - break; - } - - Refine2WayNode(ctrl, graph, cgraph, ubfactor); - -} - - - - -/************************************************************************* -* This function takes a graph and a bisection and splits it into two graphs. -* This function relies on the fact that adjwgt is all equal to 1. -**************************************************************************/ -void SplitGraphOrder(CtrlType *ctrl, GraphType *graph, GraphType *lgraph, GraphType *rgraph) -{ - int i, ii, j, k, l, istart, iend, mypart, nvtxs, snvtxs[3], snedges[3]; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *adjwgtsum, *label, *where, *bndptr, *bndind; - idxtype *sxadj[2], *svwgt[2], *sadjncy[2], *sadjwgt[2], *sadjwgtsum[2], *slabel[2]; - idxtype *rename; - idxtype *auxadjncy, *auxadjwgt; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->SplitTmr)); - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - label = graph->label; - where = graph->where; - bndptr = graph->bndptr; - bndind = graph->bndind; - ASSERT(bndptr != NULL); - - rename = idxwspacemalloc(ctrl, nvtxs); - - snvtxs[0] = snvtxs[1] = snvtxs[2] = snedges[0] = snedges[1] = snedges[2] = 0; - for (i=0; i<nvtxs; i++) { - k = where[i]; - rename[i] = snvtxs[k]++; - snedges[k] += xadj[i+1]-xadj[i]; - } - - SetUpSplitGraph(graph, lgraph, snvtxs[0], snedges[0]); - sxadj[0] = lgraph->xadj; - svwgt[0] = lgraph->vwgt; - sadjwgtsum[0] = lgraph->adjwgtsum; - sadjncy[0] = lgraph->adjncy; - sadjwgt[0] = lgraph->adjwgt; - slabel[0] = lgraph->label; - - SetUpSplitGraph(graph, rgraph, snvtxs[1], snedges[1]); - sxadj[1] = rgraph->xadj; - svwgt[1] = rgraph->vwgt; - sadjwgtsum[1] = rgraph->adjwgtsum; - sadjncy[1] = rgraph->adjncy; - sadjwgt[1] = rgraph->adjwgt; - slabel[1] = rgraph->label; - - /* Go and use bndptr to also mark the boundary nodes in the two partitions */ - for (ii=0; ii<graph->nbnd; ii++) { - i = bndind[ii]; - for (j=xadj[i]; j<xadj[i+1]; j++) - bndptr[adjncy[j]] = 1; - } - - snvtxs[0] = snvtxs[1] = snedges[0] = snedges[1] = 0; - sxadj[0][0] = sxadj[1][0] = 0; - for (i=0; i<nvtxs; i++) { - if ((mypart = where[i]) == 2) - continue; - - istart = xadj[i]; - iend = xadj[i+1]; - if (bndptr[i] == -1) { /* This is an interior vertex */ - auxadjncy = sadjncy[mypart] + snedges[mypart] - istart; - for(j=istart; j<iend; j++) - auxadjncy[j] = adjncy[j]; - snedges[mypart] += iend-istart; - } - else { - auxadjncy = sadjncy[mypart]; - l = snedges[mypart]; - for (j=istart; j<iend; j++) { - k = adjncy[j]; - if (where[k] == mypart) - auxadjncy[l++] = k; - } - snedges[mypart] = l; - } - - svwgt[mypart][snvtxs[mypart]] = vwgt[i]; - sadjwgtsum[mypart][snvtxs[mypart]] = snedges[mypart]-sxadj[mypart][snvtxs[mypart]]; - slabel[mypart][snvtxs[mypart]] = label[i]; - sxadj[mypart][++snvtxs[mypart]] = snedges[mypart]; - } - - for (mypart=0; mypart<2; mypart++) { - iend = snedges[mypart]; - idxset(iend, 1, sadjwgt[mypart]); - - auxadjncy = sadjncy[mypart]; - for (i=0; i<iend; i++) - auxadjncy[i] = rename[auxadjncy[i]]; - } - - lgraph->nvtxs = snvtxs[0]; - lgraph->nedges = snedges[0]; - rgraph->nvtxs = snvtxs[1]; - rgraph->nedges = snedges[1]; - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->SplitTmr)); - - idxwspacefree(ctrl, nvtxs); - -} - -/************************************************************************* -* This function uses MMD to order the graph. The vertices are numbered -* from lastvtx downwards -**************************************************************************/ -void MMDOrder(CtrlType *ctrl, GraphType *graph, idxtype *order, int lastvtx) -{ - int i, j, k, nvtxs, nofsub, firstvtx; - idxtype *xadj, *adjncy, *label; - idxtype *perm, *iperm, *head, *qsize, *list, *marker; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - - /* Relabel the vertices so that it starts from 1 */ - k = xadj[nvtxs]; - for (i=0; i<k; i++) - adjncy[i]++; - for (i=0; i<nvtxs+1; i++) - xadj[i]++; - - perm = idxmalloc(6*(nvtxs+5), "MMDOrder: perm"); - iperm = perm + nvtxs + 5; - head = iperm + nvtxs + 5; - qsize = head + nvtxs + 5; - list = qsize + nvtxs + 5; - marker = list + nvtxs + 5; - - genmmd(nvtxs, xadj, adjncy, iperm, perm, 1, head, qsize, list, marker, MAXIDX, &nofsub); - - label = graph->label; - firstvtx = lastvtx-nvtxs; - for (i=0; i<nvtxs; i++) - order[label[i]] = firstvtx+iperm[i]-1; - - free(perm); - - /* Relabel the vertices so that it starts from 0 */ - for (i=0; i<nvtxs+1; i++) - xadj[i]--; - k = xadj[nvtxs]; - for (i=0; i<k; i++) - adjncy[i]--; -} - - -/************************************************************************* -* This function takes a graph and a bisection and splits it into two graphs. -* It relies on the fact that adjwgt is all set to 1. -**************************************************************************/ -int SplitGraphOrderCC(CtrlType *ctrl, GraphType *graph, GraphType *sgraphs, int ncmps, idxtype *cptr, idxtype *cind) -{ - int i, ii, iii, j, k, l, istart, iend, mypart, nvtxs, snvtxs, snedges; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *adjwgtsum, *label, *where, *bndptr, *bndind; - idxtype *sxadj, *svwgt, *sadjncy, *sadjwgt, *sadjwgtsum, *slabel; - idxtype *rename; - idxtype *auxadjncy, *auxadjwgt; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->SplitTmr)); - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - label = graph->label; - where = graph->where; - bndptr = graph->bndptr; - bndind = graph->bndind; - ASSERT(bndptr != NULL); - - /* Go and use bndptr to also mark the boundary nodes in the two partitions */ - for (ii=0; ii<graph->nbnd; ii++) { - i = bndind[ii]; - for (j=xadj[i]; j<xadj[i+1]; j++) - bndptr[adjncy[j]] = 1; - } - - rename = idxwspacemalloc(ctrl, nvtxs); - - /* Go and split the graph a component at a time */ - for (iii=0; iii<ncmps; iii++) { - RandomPermute(cptr[iii+1]-cptr[iii], cind+cptr[iii], 0); - snvtxs = snedges = 0; - for (j=cptr[iii]; j<cptr[iii+1]; j++) { - i = cind[j]; - rename[i] = snvtxs++; - snedges += xadj[i+1]-xadj[i]; - } - - SetUpSplitGraph(graph, sgraphs+iii, snvtxs, snedges); - sxadj = sgraphs[iii].xadj; - svwgt = sgraphs[iii].vwgt; - sadjwgtsum = sgraphs[iii].adjwgtsum; - sadjncy = sgraphs[iii].adjncy; - sadjwgt = sgraphs[iii].adjwgt; - slabel = sgraphs[iii].label; - - snvtxs = snedges = sxadj[0] = 0; - for (ii=cptr[iii]; ii<cptr[iii+1]; ii++) { - i = cind[ii]; - - istart = xadj[i]; - iend = xadj[i+1]; - if (bndptr[i] == -1) { /* This is an interior vertex */ - auxadjncy = sadjncy + snedges - istart; - auxadjwgt = sadjwgt + snedges - istart; - for(j=istart; j<iend; j++) - auxadjncy[j] = adjncy[j]; - snedges += iend-istart; - } - else { - l = snedges; - for (j=istart; j<iend; j++) { - k = adjncy[j]; - if (where[k] != 2) - sadjncy[l++] = k; - } - snedges = l; - } - - svwgt[snvtxs] = vwgt[i]; - sadjwgtsum[snvtxs] = snedges-sxadj[snvtxs]; - slabel[snvtxs] = label[i]; - sxadj[++snvtxs] = snedges; - } - - idxset(snedges, 1, sadjwgt); - for (i=0; i<snedges; i++) - sadjncy[i] = rename[sadjncy[i]]; - - sgraphs[iii].nvtxs = snvtxs; - sgraphs[iii].nedges = snedges; - sgraphs[iii].ncon = 1; - - if (snvtxs < MMDSWITCH) - sgraphs[iii].adjwgt = NULL; /* A marker to call MMD on the driver */ - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->SplitTmr)); - - idxwspacefree(ctrl, nvtxs); - - return ncmps; - -} - - - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/parmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/parmetis.c deleted file mode 100644 index d183082..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/parmetis.c +++ /dev/null @@ -1,512 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * parmetis.c - * - * This file contains top level routines that are used by ParMETIS - * - * Started 10/14/97 - * George - * - * $Id: parmetis.c,v 1.2 2003/07/24 18:39:11 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point for KMETIS with seed specification -* in options[7] -**************************************************************************/ -void METIS_PartGraphKway2(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - int *options, int *edgecut, idxtype *part) -{ - int i; - float *tpwgts; - - tpwgts = fmalloc(*nparts, "KMETIS: tpwgts"); - for (i=0; i<*nparts; i++) - tpwgts[i] = 1.0/(1.0*(*nparts)); - - METIS_WPartGraphKway2(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, - tpwgts, options, edgecut, part); - - free(tpwgts); -} - - -/************************************************************************* -* This function is the entry point for KWMETIS with seed specification -* in options[7] -**************************************************************************/ -void METIS_WPartGraphKway2(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_KMETIS, *nvtxs, 1, xadj, adjncy, vwgt, adjwgt, *wgtflag); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = KMETIS_CTYPE; - ctrl.IType = KMETIS_ITYPE; - ctrl.RType = KMETIS_RTYPE; - ctrl.dbglvl = KMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_KMETIS; - ctrl.CoarsenTo = 20*(*nparts); - ctrl.maxvwgt = 1.5*((graph.vwgt ? idxsum(*nvtxs, graph.vwgt) : (*nvtxs))/ctrl.CoarsenTo); - - InitRandom(options[7]); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - *edgecut = MlevelKWayPartitioning(&ctrl, &graph, *nparts, part, tpwgts, 1.000); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - -/************************************************************************* -* This function is the entry point for the node ND code for ParMETIS -**************************************************************************/ -void METIS_NodeNDP(int nvtxs, idxtype *xadj, idxtype *adjncy, int npes, - int *options, idxtype *perm, idxtype *iperm, idxtype *sizes) -{ - int i, ii, j, l, wflag, nflag; - GraphType graph; - CtrlType ctrl; - idxtype *cptr, *cind; - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = ONMETIS_CTYPE; - ctrl.IType = ONMETIS_ITYPE; - ctrl.RType = ONMETIS_RTYPE; - ctrl.dbglvl = ONMETIS_DBGLVL; - ctrl.oflags = ONMETIS_OFLAGS; - ctrl.pfactor = ONMETIS_PFACTOR; - ctrl.nseps = ONMETIS_NSEPS; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - ctrl.oflags = options[OPTION_OFLAGS]; - ctrl.pfactor = options[OPTION_PFACTOR]; - ctrl.nseps = options[OPTION_NSEPS]; - } - if (ctrl.nseps < 1) - ctrl.nseps = 1; - - ctrl.optype = OP_ONMETIS; - ctrl.CoarsenTo = 100; - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - InitRandom(-1); - - if (ctrl.oflags&OFLAG_COMPRESS) { - /*============================================================ - * Compress the graph - ==============================================================*/ - cptr = idxmalloc(nvtxs+1, "ONMETIS: cptr"); - cind = idxmalloc(nvtxs, "ONMETIS: cind"); - - CompressGraph(&ctrl, &graph, nvtxs, xadj, adjncy, cptr, cind); - - if (graph.nvtxs >= COMPRESSION_FRACTION*(nvtxs)) { - ctrl.oflags--; /* We actually performed no compression */ - GKfree(&cptr, &cind, LTERM); - } - else if (2*graph.nvtxs < nvtxs && ctrl.nseps == 1) - ctrl.nseps = 2; - } - else { - SetUpGraph(&graph, OP_ONMETIS, nvtxs, 1, xadj, adjncy, NULL, NULL, 0); - } - - - /*============================================================= - * Do the nested dissection ordering - --=============================================================*/ - ctrl.maxvwgt = 1.5*(idxsum(graph.nvtxs, graph.vwgt)/ctrl.CoarsenTo); - AllocateWorkSpace(&ctrl, &graph, 2); - - idxset(2*npes-1, 0, sizes); - MlevelNestedDissectionP(&ctrl, &graph, iperm, graph.nvtxs, npes, 0, sizes); - - FreeWorkSpace(&ctrl, &graph); - - if (ctrl.oflags&OFLAG_COMPRESS) { /* Uncompress the ordering */ - if (graph.nvtxs < COMPRESSION_FRACTION*(nvtxs)) { - /* construct perm from iperm */ - for (i=0; i<graph.nvtxs; i++) - perm[iperm[i]] = i; - for (l=ii=0; ii<graph.nvtxs; ii++) { - i = perm[ii]; - for (j=cptr[i]; j<cptr[i+1]; j++) - iperm[cind[j]] = l++; - } - } - - GKfree(&cptr, &cind, LTERM); - } - - - for (i=0; i<nvtxs; i++) - perm[iperm[i]] = i; - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - -} - - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -void MlevelNestedDissectionP(CtrlType *ctrl, GraphType *graph, idxtype *order, int lastvtx, - int npes, int cpos, idxtype *sizes) -{ - int i, j, nvtxs, nbnd, tvwgt, tpwgts2[2]; - idxtype *label, *bndind; - GraphType lgraph, rgraph; - float ubfactor; - - nvtxs = graph->nvtxs; - - if (nvtxs == 0) { - GKfree(&graph->gdata, &graph->rdata, &graph->label, LTERM); - return; - } - - /* Determine the weights of the partitions */ - tvwgt = idxsum(nvtxs, graph->vwgt); - tpwgts2[0] = tvwgt/2; - tpwgts2[1] = tvwgt-tpwgts2[0]; - - if (cpos >= npes-1) - ubfactor = ORDER_UNBALANCE_FRACTION; - else - ubfactor = 1.05; - - - MlevelNodeBisectionMultiple(ctrl, graph, tpwgts2, ubfactor); - - IFSET(ctrl->dbglvl, DBG_SEPINFO, printf("Nvtxs: %6d, [%6d %6d %6d]\n", graph->nvtxs, graph->pwgts[0], graph->pwgts[1], graph->pwgts[2])); - - if (cpos < npes-1) { - sizes[2*npes-2-cpos] = graph->pwgts[2]; - sizes[2*npes-2-(2*cpos+1)] = graph->pwgts[1]; - sizes[2*npes-2-(2*cpos+2)] = graph->pwgts[0]; - } - - /* Order the nodes in the separator */ - nbnd = graph->nbnd; - bndind = graph->bndind; - label = graph->label; - for (i=0; i<nbnd; i++) - order[label[bndind[i]]] = --lastvtx; - - SplitGraphOrder(ctrl, graph, &lgraph, &rgraph); - - /* Free the memory of the top level graph */ - GKfree(&graph->gdata, &graph->rdata, &graph->label, LTERM); - - if (rgraph.nvtxs > MMDSWITCH || 2*cpos+1 < npes-1) - MlevelNestedDissectionP(ctrl, &rgraph, order, lastvtx, npes, 2*cpos+1, sizes); - else { - MMDOrder(ctrl, &rgraph, order, lastvtx); - GKfree(&rgraph.gdata, &rgraph.rdata, &rgraph.label, LTERM); - } - if (lgraph.nvtxs > MMDSWITCH || 2*cpos+2 < npes-1) - MlevelNestedDissectionP(ctrl, &lgraph, order, lastvtx-rgraph.nvtxs, npes, 2*cpos+2, sizes); - else { - MMDOrder(ctrl, &lgraph, order, lastvtx-rgraph.nvtxs); - GKfree(&lgraph.gdata, &lgraph.rdata, &lgraph.label, LTERM); - } -} - - - - -/************************************************************************* -* This function is the entry point for ONWMETIS. It requires weights on the -* vertices. It is for the case that the matrix has been pre-compressed. -**************************************************************************/ -void METIS_NodeComputeSeparator(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *options, int *sepsize, idxtype *part) -{ - int i, j, tvwgt, tpwgts[2]; - GraphType graph; - CtrlType ctrl; - - SetUpGraph(&graph, OP_ONMETIS, *nvtxs, 1, xadj, adjncy, vwgt, adjwgt, 3); - tvwgt = idxsum(*nvtxs, graph.vwgt); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = ONMETIS_CTYPE; - ctrl.IType = ONMETIS_ITYPE; - ctrl.RType = ONMETIS_RTYPE; - ctrl.dbglvl = ONMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - - ctrl.oflags = 0; - ctrl.pfactor = 0; - ctrl.nseps = 1; - ctrl.optype = OP_ONMETIS; - ctrl.CoarsenTo = amin(100, *nvtxs-1); - ctrl.maxvwgt = 1.5*tvwgt/ctrl.CoarsenTo; - - InitRandom(options[7]); - - AllocateWorkSpace(&ctrl, &graph, 2); - - /*============================================================ - * Perform the bisection - *============================================================*/ - tpwgts[0] = tvwgt/2; - tpwgts[1] = tvwgt-tpwgts[0]; - - MlevelNodeBisectionMultiple(&ctrl, &graph, tpwgts, 1.05); - - *sepsize = graph.pwgts[2]; - idxcopy(*nvtxs, graph.where, part); - - GKfree(&graph.gdata, &graph.rdata, &graph.label, LTERM); - - - FreeWorkSpace(&ctrl, &graph); - -} - - - -/************************************************************************* -* This function is the entry point for ONWMETIS. It requires weights on the -* vertices. It is for the case that the matrix has been pre-compressed. -**************************************************************************/ -void METIS_EdgeComputeSeparator(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *options, int *sepsize, idxtype *part) -{ - int i, j, tvwgt, tpwgts[2]; - GraphType graph; - CtrlType ctrl; - - SetUpGraph(&graph, OP_ONMETIS, *nvtxs, 1, xadj, adjncy, vwgt, adjwgt, 3); - tvwgt = idxsum(*nvtxs, graph.vwgt); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = ONMETIS_CTYPE; - ctrl.IType = ONMETIS_ITYPE; - ctrl.RType = ONMETIS_RTYPE; - ctrl.dbglvl = ONMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - - ctrl.oflags = 0; - ctrl.pfactor = 0; - ctrl.nseps = 1; - ctrl.optype = OP_OEMETIS; - ctrl.CoarsenTo = amin(100, *nvtxs-1); - ctrl.maxvwgt = 1.5*tvwgt/ctrl.CoarsenTo; - - InitRandom(options[7]); - - AllocateWorkSpace(&ctrl, &graph, 2); - - /*============================================================ - * Perform the bisection - *============================================================*/ - tpwgts[0] = tvwgt/2; - tpwgts[1] = tvwgt-tpwgts[0]; - - MlevelEdgeBisection(&ctrl, &graph, tpwgts, 1.05); - ConstructMinCoverSeparator(&ctrl, &graph, 1.05); - - *sepsize = graph.pwgts[2]; - idxcopy(*nvtxs, graph.where, part); - - GKfree(&graph.gdata, &graph.rdata, &graph.label, LTERM); - - - FreeWorkSpace(&ctrl, &graph); - -} - - -/************************************************************************* -* This function is the entry point for PWMETIS that accepts exact weights -* for the target partitions -**************************************************************************/ -void METIS_mCPartGraphRecursive2(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - float *mytpwgts; - float avgwgt; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_PMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag); - graph.npwgts = NULL; - mytpwgts = fmalloc(*nparts, "mytpwgts"); - scopy(*nparts, tpwgts, mytpwgts); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = McPMETIS_CTYPE; - ctrl.IType = McPMETIS_ITYPE; - ctrl.RType = McPMETIS_RTYPE; - ctrl.dbglvl = McPMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_PMETIS; - ctrl.CoarsenTo = 100; - - ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo); - - InitRandom(options[7]); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - ASSERT(CheckGraph(&graph)); - *edgecut = MCMlevelRecursiveBisection2(&ctrl, &graph, *nparts, mytpwgts, part, 1.000, 0); - -/* -{ -idxtype wgt[2048], minwgt, maxwgt, sumwgt; - -printf("nvtxs: %d, nparts: %d, ncon: %d\n", graph.nvtxs, *nparts, *ncon); -for (i=0; i<(*nparts)*(*ncon); i++) - wgt[i] = 0; -for (i=0; i<graph.nvtxs; i++) - for (j=0; j<*ncon; j++) - wgt[part[i]*(*ncon)+j] += vwgt[i*(*ncon)+j]; - -for (j=0; j<*ncon; j++) { - minwgt = maxwgt = sumwgt = 0; - for (i=0; i<(*nparts); i++) { - minwgt = (wgt[i*(*ncon)+j] < wgt[minwgt*(*ncon)+j]) ? i : minwgt; - maxwgt = (wgt[i*(*ncon)+j] > wgt[maxwgt*(*ncon)+j]) ? i : maxwgt; - sumwgt += wgt[i*(*ncon)+j]; - } - avgwgt = (float)sumwgt / (float)*nparts; - printf("min: %5d, max: %5d, avg: %5.2f, balance: %6.3f\n", wgt[minwgt*(*ncon)+j], wgt[maxwgt*(*ncon)+j], avgwgt, (float)wgt[maxwgt*(*ncon)+j] / avgwgt); -} -printf("\n"); -} -*/ - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - GKfree((void *)&mytpwgts, LTERM); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -int MCMlevelRecursiveBisection2(CtrlType *ctrl, GraphType *graph, int nparts, - float *tpwgts, idxtype *part, float ubfactor, int fpart) -{ - int i, nvtxs, cut; - float wsum, tpwgts2[2]; - idxtype *label, *where; - GraphType lgraph, rgraph; - - nvtxs = graph->nvtxs; - if (nvtxs == 0) - return 0; - - /* Determine the weights of the partitions */ - tpwgts2[0] = ssum(nparts/2, tpwgts); - tpwgts2[1] = 1.0-tpwgts2[0]; - - MCMlevelEdgeBisection(ctrl, graph, tpwgts2, ubfactor); - cut = graph->mincut; - - label = graph->label; - where = graph->where; - for (i=0; i<nvtxs; i++) - part[label[i]] = where[i] + fpart; - - if (nparts > 2) - SplitGraphPart(ctrl, graph, &lgraph, &rgraph); - - /* Free the memory of the top level graph */ - GKfree(&graph->gdata, &graph->nvwgt, &graph->rdata, &graph->label, &graph->npwgts, LTERM); - - /* Scale the fractions in the tpwgts according to the true weight */ - wsum = ssum(nparts/2, tpwgts); - sscale(nparts/2, 1.0/wsum, tpwgts); - sscale(nparts-nparts/2, 1.0/(1.0-wsum), tpwgts+nparts/2); - - /* Do the recursive call */ - if (nparts > 3) { - cut += MCMlevelRecursiveBisection2(ctrl, &lgraph, nparts/2, tpwgts, part, ubfactor, fpart); - cut += MCMlevelRecursiveBisection2(ctrl, &rgraph, nparts-nparts/2, tpwgts+nparts/2, part, ubfactor, fpart+nparts/2); - } - else if (nparts == 3) { - cut += MCMlevelRecursiveBisection2(ctrl, &rgraph, nparts-nparts/2, tpwgts+nparts/2, part, ubfactor, fpart+nparts/2); - GKfree(&lgraph.gdata, &lgraph.nvwgt, &lgraph.label, LTERM); - } - - return cut; - -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/pmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/pmetis.c deleted file mode 100644 index 9212cd7..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/pmetis.c +++ /dev/null @@ -1,341 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * pmetis.c - * - * This file contains the top level routines for the multilevel recursive - * bisection algorithm PMETIS. - * - * Started 7/24/97 - * George - * - * $Id: pmetis.c,v 1.1 2003/07/16 15:55:16 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point for PMETIS -**************************************************************************/ -void METIS_PartGraphRecursive(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - int *options, int *edgecut, idxtype *part) -{ - int i; - float *tpwgts; - - tpwgts = fmalloc(*nparts, "KMETIS: tpwgts"); - for (i=0; i<*nparts; i++) - tpwgts[i] = 1.0/(1.0*(*nparts)); - - METIS_WPartGraphRecursive(nvtxs, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, - tpwgts, options, edgecut, part); - - free(tpwgts); -} - - - -/************************************************************************* -* This function is the entry point for PWMETIS that accepts exact weights -* for the target partitions -**************************************************************************/ -void METIS_WPartGraphRecursive(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, - float *tpwgts, int *options, int *edgecut, idxtype *part) -{ - int i, j; - GraphType graph; - CtrlType ctrl; - float *mytpwgts; - - if (*numflag == 1) - Change2CNumbering(*nvtxs, xadj, adjncy); - - SetUpGraph(&graph, OP_PMETIS, *nvtxs, 1, xadj, adjncy, vwgt, adjwgt, *wgtflag); - - if (options[0] == 0) { /* Use the default parameters */ - ctrl.CType = PMETIS_CTYPE; - ctrl.IType = PMETIS_ITYPE; - ctrl.RType = PMETIS_RTYPE; - ctrl.dbglvl = PMETIS_DBGLVL; - } - else { - ctrl.CType = options[OPTION_CTYPE]; - ctrl.IType = options[OPTION_ITYPE]; - ctrl.RType = options[OPTION_RTYPE]; - ctrl.dbglvl = options[OPTION_DBGLVL]; - } - ctrl.optype = OP_PMETIS; - ctrl.CoarsenTo = 20; - ctrl.maxvwgt = 1.5*(idxsum(*nvtxs, graph.vwgt)/ctrl.CoarsenTo); - - mytpwgts = fmalloc(*nparts, "PWMETIS: mytpwgts"); - for (i=0; i<*nparts; i++) - mytpwgts[i] = tpwgts[i]; - - InitRandom(-1); - - AllocateWorkSpace(&ctrl, &graph, *nparts); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - *edgecut = MlevelRecursiveBisection(&ctrl, &graph, *nparts, part, mytpwgts, 1.000, 0); - - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl)); - - FreeWorkSpace(&ctrl, &graph); - free(mytpwgts); - - if (*numflag == 1) - Change2FNumbering(*nvtxs, xadj, adjncy, part); -} - - - -/************************************************************************* -* This function takes a graph and produces a bisection of it -**************************************************************************/ -int MlevelRecursiveBisection(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part, float *tpwgts, float ubfactor, int fpart) -{ - int i, j, nvtxs, cut, tvwgt, tpwgts2[2]; - idxtype *label, *where; - GraphType lgraph, rgraph; - float wsum; - - nvtxs = graph->nvtxs; - if (nvtxs == 0) { - printf("\t***Cannot bisect a graph with 0 vertices!\n\t***You are trying to partition a graph into too many parts!\n"); - return 0; - } - - /* Determine the weights of the partitions */ - tvwgt = idxsum(nvtxs, graph->vwgt); - tpwgts2[0] = tvwgt*ssum(nparts/2, tpwgts); - tpwgts2[1] = tvwgt-tpwgts2[0]; - - MlevelEdgeBisection(ctrl, graph, tpwgts2, ubfactor); - cut = graph->mincut; - - /* printf("%5d %5d %5d [%5d %f]\n", tpwgts2[0], tpwgts2[1], cut, tvwgt, ssum(nparts/2, tpwgts));*/ - - label = graph->label; - where = graph->where; - for (i=0; i<nvtxs; i++) - part[label[i]] = where[i] + fpart; - - if (nparts > 2) { - SplitGraphPart(ctrl, graph, &lgraph, &rgraph); - /* printf("%d %d\n", lgraph.nvtxs, rgraph.nvtxs); */ - } - - - /* Free the memory of the top level graph */ - GKfree(&graph->gdata, &graph->rdata, &graph->label, LTERM); - - /* Scale the fractions in the tpwgts according to the true weight */ - wsum = ssum(nparts/2, tpwgts); - sscale(nparts/2, 1.0/wsum, tpwgts); - sscale(nparts-nparts/2, 1.0/(1.0-wsum), tpwgts+nparts/2); - /* - for (i=0; i<nparts; i++) - printf("%5.3f ", tpwgts[i]); - printf("[%5.3f]\n", wsum); - */ - - /* Do the recursive call */ - if (nparts > 3) { - cut += MlevelRecursiveBisection(ctrl, &lgraph, nparts/2, part, tpwgts, ubfactor, fpart); - cut += MlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, tpwgts+nparts/2, ubfactor, fpart+nparts/2); - } - else if (nparts == 3) { - cut += MlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, tpwgts+nparts/2, ubfactor, fpart+nparts/2); - GKfree(&lgraph.gdata, &lgraph.label, LTERM); - } - - return cut; - -} - - -/************************************************************************* -* This function performs multilevel bisection -**************************************************************************/ -void MlevelEdgeBisection(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor) -{ - GraphType *cgraph; - - cgraph = Coarsen2Way(ctrl, graph); - - Init2WayPartition(ctrl, cgraph, tpwgts, ubfactor); - - Refine2Way(ctrl, graph, cgraph, tpwgts, ubfactor); - -/* - IsConnectedSubdomain(ctrl, graph, 0); - IsConnectedSubdomain(ctrl, graph, 1); -*/ -} - - - - -/************************************************************************* -* This function takes a graph and a bisection and splits it into two graphs. -**************************************************************************/ -void SplitGraphPart(CtrlType *ctrl, GraphType *graph, GraphType *lgraph, GraphType *rgraph) -{ - int i, j, k, kk, l, istart, iend, mypart, nvtxs, ncon, snvtxs[2], snedges[2], sum; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *adjwgtsum, *label, *where, *bndptr; - idxtype *sxadj[2], *svwgt[2], *sadjncy[2], *sadjwgt[2], *sadjwgtsum[2], *slabel[2]; - idxtype *rename; - idxtype *auxadjncy, *auxadjwgt; - float *nvwgt, *snvwgt[2], *npwgts; - - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->SplitTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - vwgt = graph->vwgt; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - label = graph->label; - where = graph->where; - bndptr = graph->bndptr; - npwgts = graph->npwgts; - - ASSERT(bndptr != NULL); - - rename = idxwspacemalloc(ctrl, nvtxs); - - snvtxs[0] = snvtxs[1] = snedges[0] = snedges[1] = 0; - for (i=0; i<nvtxs; i++) { - k = where[i]; - rename[i] = snvtxs[k]++; - snedges[k] += xadj[i+1]-xadj[i]; - } - - SetUpSplitGraph(graph, lgraph, snvtxs[0], snedges[0]); - sxadj[0] = lgraph->xadj; - svwgt[0] = lgraph->vwgt; - snvwgt[0] = lgraph->nvwgt; - sadjwgtsum[0] = lgraph->adjwgtsum; - sadjncy[0] = lgraph->adjncy; - sadjwgt[0] = lgraph->adjwgt; - slabel[0] = lgraph->label; - - SetUpSplitGraph(graph, rgraph, snvtxs[1], snedges[1]); - sxadj[1] = rgraph->xadj; - svwgt[1] = rgraph->vwgt; - snvwgt[1] = rgraph->nvwgt; - sadjwgtsum[1] = rgraph->adjwgtsum; - sadjncy[1] = rgraph->adjncy; - sadjwgt[1] = rgraph->adjwgt; - slabel[1] = rgraph->label; - - snvtxs[0] = snvtxs[1] = snedges[0] = snedges[1] = 0; - sxadj[0][0] = sxadj[1][0] = 0; - for (i=0; i<nvtxs; i++) { - mypart = where[i]; - sum = adjwgtsum[i]; - - istart = xadj[i]; - iend = xadj[i+1]; - if (bndptr[i] == -1) { /* This is an interior vertex */ - auxadjncy = sadjncy[mypart] + snedges[mypart] - istart; - auxadjwgt = sadjwgt[mypart] + snedges[mypart] - istart; - for(j=istart; j<iend; j++) { - auxadjncy[j] = adjncy[j]; - auxadjwgt[j] = adjwgt[j]; - } - snedges[mypart] += iend-istart; - } - else { - auxadjncy = sadjncy[mypart]; - auxadjwgt = sadjwgt[mypart]; - l = snedges[mypart]; - for (j=istart; j<iend; j++) { - k = adjncy[j]; - if (where[k] == mypart) { - auxadjncy[l] = k; - auxadjwgt[l++] = adjwgt[j]; - } - else { - sum -= adjwgt[j]; - } - } - snedges[mypart] = l; - } - - if (ncon == 1) - svwgt[mypart][snvtxs[mypart]] = vwgt[i]; - else { - for (kk=0; kk<ncon; kk++) - snvwgt[mypart][snvtxs[mypart]*ncon+kk] = nvwgt[i*ncon+kk]/npwgts[mypart*ncon+kk]; - } - - sadjwgtsum[mypart][snvtxs[mypart]] = sum; - slabel[mypart][snvtxs[mypart]] = label[i]; - sxadj[mypart][++snvtxs[mypart]] = snedges[mypart]; - } - - for (mypart=0; mypart<2; mypart++) { - iend = sxadj[mypart][snvtxs[mypart]]; - auxadjncy = sadjncy[mypart]; - for (i=0; i<iend; i++) - auxadjncy[i] = rename[auxadjncy[i]]; - } - - lgraph->nedges = snedges[0]; - rgraph->nedges = snedges[1]; - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->SplitTmr)); - - idxwspacefree(ctrl, nvtxs); -} - - -/************************************************************************* -* Setup the various arrays for the splitted graph -**************************************************************************/ -void SetUpSplitGraph(GraphType *graph, GraphType *sgraph, int snvtxs, int snedges) -{ - InitGraph(sgraph); - sgraph->nvtxs = snvtxs; - sgraph->nedges = snedges; - sgraph->ncon = graph->ncon; - - /* Allocate memory for the splitted graph */ - if (graph->ncon == 1) { - sgraph->gdata = idxmalloc(4*snvtxs+1 + 2*snedges, "SetUpSplitGraph: gdata"); - - sgraph->xadj = sgraph->gdata; - sgraph->vwgt = sgraph->gdata + snvtxs+1; - sgraph->adjwgtsum = sgraph->gdata + 2*snvtxs+1; - sgraph->cmap = sgraph->gdata + 3*snvtxs+1; - sgraph->adjncy = sgraph->gdata + 4*snvtxs+1; - sgraph->adjwgt = sgraph->gdata + 4*snvtxs+1 + snedges; - } - else { - sgraph->gdata = idxmalloc(3*snvtxs+1 + 2*snedges, "SetUpSplitGraph: gdata"); - - sgraph->xadj = sgraph->gdata; - sgraph->adjwgtsum = sgraph->gdata + snvtxs+1; - sgraph->cmap = sgraph->gdata + 2*snvtxs+1; - sgraph->adjncy = sgraph->gdata + 3*snvtxs+1; - sgraph->adjwgt = sgraph->gdata + 3*snvtxs+1 + snedges; - - sgraph->nvwgt = fmalloc(graph->ncon*snvtxs, "SetUpSplitGraph: nvwgt"); - } - - sgraph->label = idxmalloc(snvtxs, "SetUpSplitGraph: sgraph->label"); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/pqueue.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/pqueue.c deleted file mode 100644 index 6a1986f..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/pqueue.c +++ /dev/null @@ -1,579 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * pqueue.c - * - * This file contains functions for manipulating the bucket list - * representation of the gains associated with each vertex in a graph. - * These functions are used by the refinement algorithms - * - * Started 9/2/94 - * George - * - * $Id: pqueue.c,v 1.1 2003/07/16 15:55:16 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function initializes the data structures of the priority queue -**************************************************************************/ -void PQueueInit(CtrlType *ctrl, PQueueType *queue, int maxnodes, int maxgain) -{ - int i, j, ncore; - - queue->nnodes = 0; - queue->maxnodes = maxnodes; - - queue->buckets = NULL; - queue->nodes = NULL; - queue->heap = NULL; - queue->locator = NULL; - - if (maxgain > PLUS_GAINSPAN || maxnodes < 500) - queue->type = 2; - else - queue->type = 1; - - if (queue->type == 1) { - queue->pgainspan = amin(PLUS_GAINSPAN, maxgain); - queue->ngainspan = amin(NEG_GAINSPAN, maxgain); - - j = queue->ngainspan+queue->pgainspan+1; - - ncore = 2 + (sizeof(ListNodeType)/sizeof(idxtype))*maxnodes + (sizeof(ListNodeType *)/sizeof(idxtype))*j; - - if (WspaceAvail(ctrl) > ncore) { - queue->nodes = (ListNodeType *)idxwspacemalloc(ctrl, (sizeof(ListNodeType)/sizeof(idxtype))*maxnodes); - queue->buckets = (ListNodeType **)idxwspacemalloc(ctrl, (sizeof(ListNodeType *)/sizeof(idxtype))*j); - queue->mustfree = 0; - } - else { /* Not enough memory in the wspace, allocate it */ - queue->nodes = (ListNodeType *)idxmalloc((sizeof(ListNodeType)/sizeof(idxtype))*maxnodes, "PQueueInit: queue->nodes"); - queue->buckets = (ListNodeType **)idxmalloc((sizeof(ListNodeType *)/sizeof(idxtype))*j, "PQueueInit: queue->buckets"); - queue->mustfree = 1; - } - - for (i=0; i<maxnodes; i++) - queue->nodes[i].id = i; - - for (i=0; i<j; i++) - queue->buckets[i] = NULL; - - queue->buckets += queue->ngainspan; /* Advance buckets by the ngainspan proper indexing */ - queue->maxgain = -queue->ngainspan; - } - else { - queue->heap = (KeyValueType *)idxwspacemalloc(ctrl, (sizeof(KeyValueType)/sizeof(idxtype))*maxnodes); - queue->locator = idxwspacemalloc(ctrl, maxnodes); - idxset(maxnodes, -1, queue->locator); - } - -} - - -/************************************************************************* -* This function resets the buckets -**************************************************************************/ -void PQueueReset(PQueueType *queue) -{ - int i, j; - queue->nnodes = 0; - - if (queue->type == 1) { - queue->maxgain = -queue->ngainspan; - - j = queue->ngainspan+queue->pgainspan+1; - queue->buckets -= queue->ngainspan; - for (i=0; i<j; i++) - queue->buckets[i] = NULL; - queue->buckets += queue->ngainspan; - } - else { - idxset(queue->maxnodes, -1, queue->locator); - } - -} - - -/************************************************************************* -* This function frees the buckets -**************************************************************************/ -void PQueueFree(CtrlType *ctrl, PQueueType *queue) -{ - - if (queue->type == 1) { - if (queue->mustfree) { - queue->buckets -= queue->ngainspan; - GKfree(&queue->nodes, &queue->buckets, LTERM); - } - else { - idxwspacefree(ctrl, sizeof(ListNodeType *)*(queue->ngainspan+queue->pgainspan+1)/sizeof(idxtype)); - idxwspacefree(ctrl, sizeof(ListNodeType)*queue->maxnodes/sizeof(idxtype)); - } - } - else { - idxwspacefree(ctrl, sizeof(KeyValueType)*queue->maxnodes/sizeof(idxtype)); - idxwspacefree(ctrl, queue->maxnodes); - } - - queue->maxnodes = 0; -} - - -/************************************************************************* -* This function returns the number of nodes in the queue -**************************************************************************/ -int PQueueGetSize(PQueueType *queue) -{ - return queue->nnodes; -} - - -/************************************************************************* -* This function adds a node of certain gain into a partition -**************************************************************************/ -int PQueueInsert(PQueueType *queue, int node, int gain) -{ - int i, j, k; - idxtype *locator; - ListNodeType *newnode; - KeyValueType *heap; - - if (queue->type == 1) { - ASSERT(gain >= -queue->ngainspan && gain <= queue->pgainspan); - - /* Allocate and add the node */ - queue->nnodes++; - newnode = queue->nodes + node; - - /* Attach this node in the doubly-linked list */ - newnode->next = queue->buckets[gain]; - newnode->prev = NULL; - if (newnode->next != NULL) - newnode->next->prev = newnode; - queue->buckets[gain] = newnode; - - if (queue->maxgain < gain) - queue->maxgain = gain; - } - else { - ASSERT(CheckHeap(queue)); - - heap = queue->heap; - locator = queue->locator; - - ASSERT(locator[node] == -1); - - i = queue->nnodes++; - while (i > 0) { - j = (i-1)/2; - if (heap[j].key < gain) { - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - ASSERT(i >= 0); - heap[i].key = gain; - heap[i].val = node; - locator[node] = i; - - ASSERT(CheckHeap(queue)); - } - - return 0; -} - - -/************************************************************************* -* This function deletes a node from a partition and reinserts it with -* an updated gain -**************************************************************************/ -int PQueueDelete(PQueueType *queue, int node, int gain) -{ - int i, j, newgain, oldgain; - idxtype *locator; - ListNodeType *newnode, **buckets; - KeyValueType *heap; - - if (queue->type == 1) { - ASSERT(gain >= -queue->ngainspan && gain <= queue->pgainspan); - ASSERT(queue->nnodes > 0); - - buckets = queue->buckets; - queue->nnodes--; - newnode = queue->nodes+node; - - /* Remove newnode from the doubly-linked list */ - if (newnode->prev != NULL) - newnode->prev->next = newnode->next; - else - buckets[gain] = newnode->next; - if (newnode->next != NULL) - newnode->next->prev = newnode->prev; - - if (buckets[gain] == NULL && gain == queue->maxgain) { - if (queue->nnodes == 0) - queue->maxgain = -queue->ngainspan; - else - for (; buckets[queue->maxgain]==NULL; queue->maxgain--); - } - } - else { /* Heap Priority Queue */ - heap = queue->heap; - locator = queue->locator; - - ASSERT(locator[node] != -1); - ASSERT(heap[locator[node]].val == node); - - ASSERT(CheckHeap(queue)); - - i = locator[node]; - locator[node] = -1; - - if (--queue->nnodes > 0 && heap[queue->nnodes].val != node) { - node = heap[queue->nnodes].val; - newgain = heap[queue->nnodes].key; - oldgain = heap[i].key; - - if (oldgain < newgain) { /* Filter-up */ - while (i > 0) { - j = (i-1)>>1; - if (heap[j].key < newgain) { - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - } - else { /* Filter down */ - while ((j=2*i+1) < queue->nnodes) { - if (heap[j].key > newgain) { - if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key) - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else if (j+1 < queue->nnodes && heap[j+1].key > newgain) { - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - } - - heap[i].key = newgain; - heap[i].val = node; - locator[node] = i; - } - - ASSERT(CheckHeap(queue)); - } - - return 0; -} - - - -/************************************************************************* -* This function deletes a node from a partition and reinserts it with -* an updated gain -**************************************************************************/ -int PQueueUpdate(PQueueType *queue, int node, int oldgain, int newgain) -{ - int i, j; - idxtype *locator; - ListNodeType *newnode; - KeyValueType *heap; - - if (oldgain == newgain) - return 0; - - if (queue->type == 1) { - /* First delete the node and then insert it */ - PQueueDelete(queue, node, oldgain); - return PQueueInsert(queue, node, newgain); - } - else { /* Heap Priority Queue */ - heap = queue->heap; - locator = queue->locator; - - ASSERT(locator[node] != -1); - ASSERT(heap[locator[node]].val == node); - ASSERT(heap[locator[node]].key == oldgain); - ASSERT(CheckHeap(queue)); - - i = locator[node]; - - if (oldgain < newgain) { /* Filter-up */ - while (i > 0) { - j = (i-1)>>1; - if (heap[j].key < newgain) { - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - } - else { /* Filter down */ - while ((j=2*i+1) < queue->nnodes) { - if (heap[j].key > newgain) { - if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key) - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else if (j+1 < queue->nnodes && heap[j+1].key > newgain) { - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - } - - heap[i].key = newgain; - heap[i].val = node; - locator[node] = i; - - ASSERT(CheckHeap(queue)); - } - - return 0; -} - - - -/************************************************************************* -* This function deletes a node from a partition and reinserts it with -* an updated gain -**************************************************************************/ -void PQueueUpdateUp(PQueueType *queue, int node, int oldgain, int newgain) -{ - int i, j; - idxtype *locator; - ListNodeType *newnode, **buckets; - KeyValueType *heap; - - if (oldgain == newgain) - return; - - if (queue->type == 1) { - ASSERT(oldgain >= -queue->ngainspan && oldgain <= queue->pgainspan); - ASSERT(newgain >= -queue->ngainspan && newgain <= queue->pgainspan); - ASSERT(queue->nnodes > 0); - - buckets = queue->buckets; - newnode = queue->nodes+node; - - /* First delete the node */ - if (newnode->prev != NULL) - newnode->prev->next = newnode->next; - else - buckets[oldgain] = newnode->next; - if (newnode->next != NULL) - newnode->next->prev = newnode->prev; - - /* Attach this node in the doubly-linked list */ - newnode->next = buckets[newgain]; - newnode->prev = NULL; - if (newnode->next != NULL) - newnode->next->prev = newnode; - buckets[newgain] = newnode; - - if (queue->maxgain < newgain) - queue->maxgain = newgain; - } - else { /* Heap Priority Queue */ - heap = queue->heap; - locator = queue->locator; - - ASSERT(locator[node] != -1); - ASSERT(heap[locator[node]].val == node); - ASSERT(heap[locator[node]].key == oldgain); - ASSERT(CheckHeap(queue)); - - - /* Here we are just filtering up since the newgain is greater than the oldgain */ - i = locator[node]; - while (i > 0) { - j = (i-1)>>1; - if (heap[j].key < newgain) { - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - - heap[i].key = newgain; - heap[i].val = node; - locator[node] = i; - - ASSERT(CheckHeap(queue)); - } - -} - - -/************************************************************************* -* This function returns the vertex with the largest gain from a partition -* and removes the node from the bucket list -**************************************************************************/ -int PQueueGetMax(PQueueType *queue) -{ - int vtx, i, j, gain, node; - idxtype *locator; - ListNodeType *tptr; - KeyValueType *heap; - - if (queue->nnodes == 0) - return -1; - - queue->nnodes--; - - if (queue->type == 1) { - tptr = queue->buckets[queue->maxgain]; - queue->buckets[queue->maxgain] = tptr->next; - if (tptr->next != NULL) { - tptr->next->prev = NULL; - } - else { - if (queue->nnodes == 0) { - queue->maxgain = -queue->ngainspan; - } - else - for (; queue->buckets[queue->maxgain]==NULL; queue->maxgain--); - } - - return tptr->id; - } - else { - heap = queue->heap; - locator = queue->locator; - - vtx = heap[0].val; - locator[vtx] = -1; - - if ((i = queue->nnodes) > 0) { - gain = heap[i].key; - node = heap[i].val; - i = 0; - while ((j=2*i+1) < queue->nnodes) { - if (heap[j].key > gain) { - if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key) - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else if (j+1 < queue->nnodes && heap[j+1].key > gain) { - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - - heap[i].key = gain; - heap[i].val = node; - locator[node] = i; - } - - ASSERT(CheckHeap(queue)); - return vtx; - } -} - - -/************************************************************************* -* This function returns the vertex with the largest gain from a partition -**************************************************************************/ -int PQueueSeeMax(PQueueType *queue) -{ - int vtx; - - if (queue->nnodes == 0) - return -1; - - if (queue->type == 1) - vtx = queue->buckets[queue->maxgain]->id; - else - vtx = queue->heap[0].val; - - return vtx; -} - - -/************************************************************************* -* This function returns the vertex with the largest gain from a partition -**************************************************************************/ -int PQueueGetKey(PQueueType *queue) -{ - int key; - - if (queue->nnodes == 0) - return -1; - - if (queue->type == 1) - key = queue->maxgain; - else - key = queue->heap[0].key; - - return key; -} - - - - -/************************************************************************* -* This functions checks the consistency of the heap -**************************************************************************/ -int CheckHeap(PQueueType *queue) -{ - int i, j, nnodes; - idxtype *locator; - KeyValueType *heap; - - heap = queue->heap; - locator = queue->locator; - nnodes = queue->nnodes; - - if (nnodes == 0) - return 1; - - ASSERT(locator[heap[0].val] == 0); - for (i=1; i<nnodes; i++) { - ASSERTP(locator[heap[i].val] == i, ("%d %d %d %d\n", nnodes, i, heap[i].val, locator[heap[i].val])); - ASSERTP(heap[i].key <= heap[(i-1)/2].key, ("%d %d %d %d %d\n", i, (i-1)/2, nnodes, heap[i].key, heap[(i-1)/2].key)); - } - for (i=1; i<nnodes; i++) - ASSERT(heap[i].key <= heap[0].key); - - for (j=i=0; i<queue->maxnodes; i++) { - if (locator[i] != -1) - j++; - } - ASSERTP(j == nnodes, ("%d %d\n", j, nnodes)); - - return 1; -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/proto.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/proto.h deleted file mode 100644 index 3cfadab..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/proto.h +++ /dev/null @@ -1,511 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * proto.h - * - * This file contains header files - * - * Started 10/19/95 - * George - * - * $Id: proto.h,v 1.3 2003/07/24 18:39:11 karypis Exp $ - * - */ - -/* balance.c */ -void Balance2Way(CtrlType *, GraphType *, int *, float); -void Bnd2WayBalance(CtrlType *, GraphType *, int *); -void General2WayBalance(CtrlType *, GraphType *, int *); - -/* bucketsort.c */ -void BucketSortKeysInc(int, int, idxtype *, idxtype *, idxtype *); - -/* ccgraph.c */ -void CreateCoarseGraph(CtrlType *, GraphType *, int, idxtype *, idxtype *); -void CreateCoarseGraphNoMask(CtrlType *, GraphType *, int, idxtype *, idxtype *); -void CreateCoarseGraph_NVW(CtrlType *, GraphType *, int, idxtype *, idxtype *); -GraphType *SetUpCoarseGraph(GraphType *, int, int); -void ReAdjustMemory(GraphType *, GraphType *, int); - -/* checkgraph.c */ -int CheckGraph(GraphType *); - -/* coarsen.c */ -GraphType *Coarsen2Way(CtrlType *, GraphType *); - -/* compress.c */ -void CompressGraph(CtrlType *, GraphType *, int, idxtype *, idxtype *, idxtype *, idxtype *); -void PruneGraph(CtrlType *, GraphType *, int, idxtype *, idxtype *, idxtype *, float); - -/* debug.c */ -int ComputeCut(GraphType *, idxtype *); -int CheckBnd(GraphType *); -int CheckBnd2(GraphType *); -int CheckNodeBnd(GraphType *, int); -int CheckRInfo(RInfoType *); -int CheckNodePartitionParams(GraphType *); -int IsSeparable(GraphType *); - -/* estmem.c */ -void METIS_EstimateMemory(int *, idxtype *, idxtype *, int *, int *, int *); -void EstimateCFraction(int, idxtype *, idxtype *, float *, float *); -int ComputeCoarseGraphSize(int, idxtype *, idxtype *, int, idxtype *, idxtype *, idxtype *); - -/* fm.c */ -void FM_2WayEdgeRefine(CtrlType *, GraphType *, int *, int); - -/* fortran.c */ -void Change2CNumbering(int, idxtype *, idxtype *); -void Change2FNumbering(int, idxtype *, idxtype *, idxtype *); -void Change2FNumbering2(int, idxtype *, idxtype *); -void Change2FNumberingOrder(int, idxtype *, idxtype *, idxtype *, idxtype *); -void ChangeMesh2CNumbering(int, idxtype *); -void ChangeMesh2FNumbering(int, idxtype *, int, idxtype *, idxtype *); -void ChangeMesh2FNumbering2(int, idxtype *, int, int, idxtype *, idxtype *); - -/* frename.c */ -void METIS_PARTGRAPHRECURSIVE(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphrecursive(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphrecursive_(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphrecursive__(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_WPARTGRAPHRECURSIVE(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphrecursive(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphrecursive_(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphrecursive__(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void METIS_PARTGRAPHKWAY(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphkway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphkway_(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphkway__(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_WPARTGRAPHKWAY(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphkway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphkway_(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphkway__(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void METIS_EDGEND(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_edgend(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_edgend_(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_edgend__(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_NODEND(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_nodend(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_nodend_(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_nodend__(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_NODEWND(int *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_nodewnd(int *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_nodewnd_(int *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_nodewnd__(int *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_PARTMESHNODAL(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void metis_partmeshnodal(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void metis_partmeshnodal_(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void metis_partmeshnodal__(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void METIS_PARTMESHDUAL(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void metis_partmeshdual(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void metis_partmeshdual_(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void metis_partmeshdual__(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void METIS_MESHTONODAL(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_meshtonodal(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_meshtonodal_(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_meshtonodal__(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_MESHTODUAL(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_meshtodual(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_meshtodual_(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void metis_meshtodual__(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_ESTIMATEMEMORY(int *, idxtype *, idxtype *, int *, int *, int *); -void metis_estimatememory(int *, idxtype *, idxtype *, int *, int *, int *); -void metis_estimatememory_(int *, idxtype *, idxtype *, int *, int *, int *); -void metis_estimatememory__(int *, idxtype *, idxtype *, int *, int *, int *); -void METIS_MCPARTGRAPHRECURSIVE(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_mcpartgraphrecursive(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_mcpartgraphrecursive_(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_mcpartgraphrecursive__(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_MCPARTGRAPHKWAY(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_mcpartgraphkway(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_mcpartgraphkway_(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_mcpartgraphkway__(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void METIS_PARTGRAPHVKWAY(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphvkway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphvkway_(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void metis_partgraphvkway__(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_WPARTGRAPHVKWAY(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphvkway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphvkway_(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void metis_wpartgraphvkway__(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); - -/* graph.c */ -void SetUpGraph(GraphType *, int, int, int, idxtype *, idxtype *, idxtype *, idxtype *, int); -void SetUpGraphKway(GraphType *, int, idxtype *, idxtype *); -void SetUpGraph2(GraphType *, int, int, idxtype *, idxtype *, float *, idxtype *); -void VolSetUpGraph(GraphType *, int, int, int, idxtype *, idxtype *, idxtype *, idxtype *, int); -void RandomizeGraph(GraphType *); -int IsConnectedSubdomain(CtrlType *, GraphType *, int, int); -int IsConnected(CtrlType *, GraphType *, int); -int IsConnected2(GraphType *, int); -int FindComponents(CtrlType *, GraphType *, idxtype *, idxtype *); - -/* initpart.c */ -void Init2WayPartition(CtrlType *, GraphType *, int *, float); -void InitSeparator(CtrlType *, GraphType *, float); -void GrowBisection(CtrlType *, GraphType *, int *, float); -void GrowBisectionNode(CtrlType *, GraphType *, float); -void RandomBisection(CtrlType *, GraphType *, int *, float); - -/* kmetis.c */ -void METIS_PartGraphKway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_WPartGraphKway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -int MlevelKWayPartitioning(CtrlType *, GraphType *, int, idxtype *, float *, float); - -/* kvmetis.c */ -void METIS_PartGraphVKway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_WPartGraphVKway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -int MlevelVolKWayPartitioning(CtrlType *, GraphType *, int, idxtype *, float *, float); - -/* kwayfm.c */ -void Random_KWayEdgeRefine(CtrlType *, GraphType *, int, float *, float, int, int); -void Greedy_KWayEdgeRefine(CtrlType *, GraphType *, int, float *, float, int); -void Greedy_KWayEdgeBalance(CtrlType *, GraphType *, int, float *, float, int); - -/* kwayrefine.c */ -void RefineKWay(CtrlType *, GraphType *, GraphType *, int, float *, float); -void AllocateKWayPartitionMemory(CtrlType *, GraphType *, int); -void ComputeKWayPartitionParams(CtrlType *, GraphType *, int); -void ProjectKWayPartition(CtrlType *, GraphType *, int); -int IsBalanced(idxtype *, int, float *, float); -void ComputeKWayBoundary(CtrlType *, GraphType *, int); -void ComputeKWayBalanceBoundary(CtrlType *, GraphType *, int); - -/* kwayvolfm.c */ -void Random_KWayVolRefine(CtrlType *, GraphType *, int, float *, float, int, int); -void Random_KWayVolRefineMConn(CtrlType *, GraphType *, int, float *, float, int, int); -void Greedy_KWayVolBalance(CtrlType *, GraphType *, int, float *, float, int); -void Greedy_KWayVolBalanceMConn(CtrlType *, GraphType *, int, float *, float, int); -void KWayVolUpdate(CtrlType *, GraphType *, int, int, int, idxtype *, idxtype *, idxtype *); -void ComputeKWayVolume(GraphType *, int, idxtype *, idxtype *, idxtype *); -int ComputeVolume(GraphType *, idxtype *); -void CheckVolKWayPartitionParams(CtrlType *, GraphType *, int); -void ComputeVolSubDomainGraph(GraphType *, int, idxtype *, idxtype *); -void EliminateVolSubDomainEdges(CtrlType *, GraphType *, int, float *); -void EliminateVolComponents(CtrlType *, GraphType *, int, float *, float); - -/* kwayvolrefine.c */ -void RefineVolKWay(CtrlType *, GraphType *, GraphType *, int, float *, float); -void AllocateVolKWayPartitionMemory(CtrlType *, GraphType *, int); -void ComputeVolKWayPartitionParams(CtrlType *, GraphType *, int); -void ComputeKWayVolGains(CtrlType *, GraphType *, int); -void ProjectVolKWayPartition(CtrlType *, GraphType *, int); -void ComputeVolKWayBoundary(CtrlType *, GraphType *, int); -void ComputeVolKWayBalanceBoundary(CtrlType *, GraphType *, int); - -/* match.c */ -void Match_RM(CtrlType *, GraphType *); -void Match_RM_NVW(CtrlType *, GraphType *); -void Match_HEM(CtrlType *, GraphType *); -void Match_SHEM(CtrlType *, GraphType *); - -/* mbalance.c */ -void MocBalance2Way(CtrlType *, GraphType *, float *, float); -void MocGeneral2WayBalance(CtrlType *, GraphType *, float *, float); - -/* mbalance2.c */ -void MocBalance2Way2(CtrlType *, GraphType *, float *, float *); -void MocGeneral2WayBalance2(CtrlType *, GraphType *, float *, float *); -void SelectQueue3(int, float *, float *, int *, int *, PQueueType [MAXNCON][2], float *); - -/* mcoarsen.c */ -GraphType *MCCoarsen2Way(CtrlType *, GraphType *); - -/* memory.c */ -void AllocateWorkSpace(CtrlType *, GraphType *, int); -void FreeWorkSpace(CtrlType *, GraphType *); -int WspaceAvail(CtrlType *); -idxtype *idxwspacemalloc(CtrlType *, int); -void idxwspacefree(CtrlType *, int); -float *fwspacemalloc(CtrlType *, int); -void fwspacefree(CtrlType *, int); -GraphType *CreateGraph(void); -void InitGraph(GraphType *); -void FreeGraph(GraphType *); - -/* mesh.c */ -void METIS_MeshToDual(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_MeshToNodal(int *, int *, idxtype *, int *, int *, idxtype *, idxtype *); -void GENDUALMETIS(int, int, int, idxtype *, idxtype *, idxtype *adjncy); -void TRINODALMETIS(int, int, idxtype *, idxtype *, idxtype *adjncy); -void TETNODALMETIS(int, int, idxtype *, idxtype *, idxtype *adjncy); -void HEXNODALMETIS(int, int, idxtype *, idxtype *, idxtype *adjncy); -void QUADNODALMETIS(int, int, idxtype *, idxtype *, idxtype *adjncy); - -/* meshpart.c */ -void METIS_PartMeshNodal(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); -void METIS_PartMeshDual(int *, int *, idxtype *, int *, int *, int *, int *, idxtype *, idxtype *); - -/* mfm.c */ -void MocFM_2WayEdgeRefine(CtrlType *, GraphType *, float *, int); -void SelectQueue(int, float *, float *, int *, int *, PQueueType [MAXNCON][2]); -int BetterBalance(int, float *, float *, float *); -float Compute2WayHLoadImbalance(int, float *, float *); -void Compute2WayHLoadImbalanceVec(int, float *, float *, float *); - -/* mfm2.c */ -void MocFM_2WayEdgeRefine2(CtrlType *, GraphType *, float *, float *, int); -void SelectQueue2(int, float *, float *, int *, int *, PQueueType [MAXNCON][2], float *); -int IsBetter2wayBalance(int, float *, float *, float *); - -/* mincover.o */ -void MinCover(idxtype *, idxtype *, int, int, idxtype *, int *); -int MinCover_Augment(idxtype *, idxtype *, int, idxtype *, idxtype *, idxtype *, int); -void MinCover_Decompose(idxtype *, idxtype *, int, int, idxtype *, idxtype *, int *); -void MinCover_ColDFS(idxtype *, idxtype *, int, idxtype *, idxtype *, int); -void MinCover_RowDFS(idxtype *, idxtype *, int, idxtype *, idxtype *, int); - -/* minitpart.c */ -void MocInit2WayPartition(CtrlType *, GraphType *, float *, float); -void MocGrowBisection(CtrlType *, GraphType *, float *, float); -void MocRandomBisection(CtrlType *, GraphType *, float *, float); -void MocInit2WayBalance(CtrlType *, GraphType *, float *); -int SelectQueueoneWay(int, float *, float *, int, PQueueType [MAXNCON][2]); - -/* minitpart2.c */ -void MocInit2WayPartition2(CtrlType *, GraphType *, float *, float *); -void MocGrowBisection2(CtrlType *, GraphType *, float *, float *); -void MocGrowBisectionNew2(CtrlType *, GraphType *, float *, float *); -void MocInit2WayBalance2(CtrlType *, GraphType *, float *, float *); -int SelectQueueOneWay2(int, float *, PQueueType [MAXNCON][2], float *); - -/* mkmetis.c */ -void METIS_mCPartGraphKway(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -int MCMlevelKWayPartitioning(CtrlType *, GraphType *, int, idxtype *, float *); - -/* mkwayfmh.c */ -void MCRandom_KWayEdgeRefineHorizontal(CtrlType *, GraphType *, int, float *, int); -void MCGreedy_KWayEdgeBalanceHorizontal(CtrlType *, GraphType *, int, float *, int); -int AreAllHVwgtsBelow(int, float, float *, float, float *, float *); -int AreAllHVwgtsAbove(int, float, float *, float, float *, float *); -void ComputeHKWayLoadImbalance(int, int, float *, float *); -int MocIsHBalanced(int, int, float *, float *); -int IsHBalanceBetterFT(int, int, float *, float *, float *, float *); -int IsHBalanceBetterTT(int, int, float *, float *, float *, float *); - -/* mkwayrefine.c */ -void MocRefineKWayHorizontal(CtrlType *, GraphType *, GraphType *, int, float *); -void MocAllocateKWayPartitionMemory(CtrlType *, GraphType *, int); -void MocComputeKWayPartitionParams(CtrlType *, GraphType *, int); -void MocProjectKWayPartition(CtrlType *, GraphType *, int); -void MocComputeKWayBalanceBoundary(CtrlType *, GraphType *, int); - -/* mmatch.c */ -void MCMatch_RM(CtrlType *, GraphType *); -void MCMatch_HEM(CtrlType *, GraphType *); -void MCMatch_SHEM(CtrlType *, GraphType *); -void MCMatch_SHEBM(CtrlType *, GraphType *, int); -void MCMatch_SBHEM(CtrlType *, GraphType *, int); -float BetterVBalance(int, int, float *, float *, float *); -int AreAllVwgtsBelowFast(int, float *, float *, float); - -/* mmd.c */ -void genmmd(int, idxtype *, idxtype *, idxtype *, idxtype *, int , idxtype *, idxtype *, idxtype *, idxtype *, int, int *); -void mmdelm(int, idxtype *xadj, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, int, int); -int mmdint(int, idxtype *xadj, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *); -void mmdnum(int, idxtype *, idxtype *, idxtype *); -void mmdupd(int, int, idxtype *, idxtype *, int, int *, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, int, int *tag); - -/* mpmetis.c */ -void METIS_mCPartGraphRecursive(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_mCHPartGraphRecursive(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void METIS_mCPartGraphRecursiveInternal(int *, int *, idxtype *, idxtype *, float *, idxtype *, int *, int *, int *, idxtype *); -void METIS_mCHPartGraphRecursiveInternal(int *, int *, idxtype *, idxtype *, float *, idxtype *, int *, float *, int *, int *, idxtype *); -int MCMlevelRecursiveBisection(CtrlType *, GraphType *, int, idxtype *, float, int); -int MCHMlevelRecursiveBisection(CtrlType *, GraphType *, int, idxtype *, float *, int); -void MCMlevelEdgeBisection(CtrlType *, GraphType *, float *, float); -void MCHMlevelEdgeBisection(CtrlType *, GraphType *, float *, float *); - -/* mrefine.c */ -void MocRefine2Way(CtrlType *, GraphType *, GraphType *, float *, float); -void MocAllocate2WayPartitionMemory(CtrlType *, GraphType *); -void MocCompute2WayPartitionParams(CtrlType *, GraphType *); -void MocProject2WayPartition(CtrlType *, GraphType *); - -/* mrefine2.c */ -void MocRefine2Way2(CtrlType *, GraphType *, GraphType *, float *, float *); - -/* mutil.c */ -int AreAllVwgtsBelow(int, float, float *, float, float *, float); -int AreAnyVwgtsBelow(int, float, float *, float, float *, float); -int AreAllVwgtsAbove(int, float, float *, float, float *, float); -float ComputeLoadImbalance(int, int, float *, float *); -int AreAllBelow(int, float *, float *); - -/* myqsort.c */ -void iidxsort(int, idxtype *); -void iintsort(int, int *); -void ikeysort(int, KeyValueType *); -void ikeyvalsort(int, KeyValueType *); - -/* ometis.c */ -void METIS_EdgeND(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_NodeND(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_NodeWND(int *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void MlevelNestedDissection(CtrlType *, GraphType *, idxtype *, float, int); -void MlevelNestedDissectionCC(CtrlType *, GraphType *, idxtype *, float, int); -void MlevelNodeBisectionMultiple(CtrlType *, GraphType *, int *, float); -void MlevelNodeBisection(CtrlType *, GraphType *, int *, float); -void SplitGraphOrder(CtrlType *, GraphType *, GraphType *, GraphType *); -void MMDOrder(CtrlType *, GraphType *, idxtype *, int); -int SplitGraphOrderCC(CtrlType *, GraphType *, GraphType *, int, idxtype *, idxtype *); - -/* parmetis.c */ -void METIS_PartGraphKway2(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_WPartGraphKway2(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void METIS_NodeNDP(int, idxtype *, idxtype *, int, int *, idxtype *, idxtype *, idxtype *); -void MlevelNestedDissectionP(CtrlType *, GraphType *, idxtype *, int, int, int, idxtype *); -void METIS_NodeComputeSeparator(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *); -void METIS_EdgeComputeSeparator(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *); -void METIS_mCPartGraphRecursive2(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, float *tpwgts, int *options, int *edgecut, idxtype *part); -int MCMlevelRecursiveBisection2(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, idxtype *part, float ubfactor, int fpart); - - - -/* pmetis.c */ -void METIS_PartGraphRecursive(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_WPartGraphRecursive(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -int MlevelRecursiveBisection(CtrlType *, GraphType *, int, idxtype *, float *, float, int); -void MlevelEdgeBisection(CtrlType *, GraphType *, int *, float); -void SplitGraphPart(CtrlType *, GraphType *, GraphType *, GraphType *); -void SetUpSplitGraph(GraphType *, GraphType *, int, int); - -/* pqueue.c */ -void PQueueInit(CtrlType *ctrl, PQueueType *, int, int); -void PQueueReset(PQueueType *); -void PQueueFree(CtrlType *ctrl, PQueueType *); -int PQueueGetSize(PQueueType *); -int PQueueInsert(PQueueType *, int, int); -int PQueueDelete(PQueueType *, int, int); -int PQueueUpdate(PQueueType *, int, int, int); -void PQueueUpdateUp(PQueueType *, int, int, int); -int PQueueGetMax(PQueueType *); -int PQueueSeeMax(PQueueType *); -int PQueueGetKey(PQueueType *); -int CheckHeap(PQueueType *); - -/* refine.c */ -void Refine2Way(CtrlType *, GraphType *, GraphType *, int *, float ubfactor); -void Allocate2WayPartitionMemory(CtrlType *, GraphType *); -void Compute2WayPartitionParams(CtrlType *, GraphType *); -void Project2WayPartition(CtrlType *, GraphType *); - -/* separator.c */ -void ConstructSeparator(CtrlType *, GraphType *, float); -void ConstructMinCoverSeparator0(CtrlType *, GraphType *, float); -void ConstructMinCoverSeparator(CtrlType *, GraphType *, float); - -/* sfm.c */ -void FM_2WayNodeRefine(CtrlType *, GraphType *, float, int); -void FM_2WayNodeRefineEqWgt(CtrlType *, GraphType *, int); -void FM_2WayNodeRefine_OneSided(CtrlType *, GraphType *, float, int); -void FM_2WayNodeBalance(CtrlType *, GraphType *, float); -int ComputeMaxNodeGain(int, idxtype *, idxtype *, idxtype *); - -/* srefine.c */ -void Refine2WayNode(CtrlType *, GraphType *, GraphType *, float); -void Allocate2WayNodePartitionMemory(CtrlType *, GraphType *); -void Compute2WayNodePartitionParams(CtrlType *, GraphType *); -void Project2WayNodePartition(CtrlType *, GraphType *); - -/* stat.c */ -void ComputePartitionInfo(GraphType *, int, idxtype *); -void ComputePartitionInfoBipartite(GraphType *, int, idxtype *); -void ComputePartitionBalance(GraphType *, int, idxtype *, float *); -float ComputeElementBalance(int, int, idxtype *); -void Moc_ComputePartitionBalance(GraphType *graph, int nparts, idxtype *where, float *ubvec); - -/* subdomains.c */ -void Random_KWayEdgeRefineMConn(CtrlType *, GraphType *, int, float *, float, int, int); -void Greedy_KWayEdgeBalanceMConn(CtrlType *, GraphType *, int, float *, float, int); -void PrintSubDomainGraph(GraphType *, int, idxtype *); -void ComputeSubDomainGraph(GraphType *, int, idxtype *, idxtype *); -void EliminateSubDomainEdges(CtrlType *, GraphType *, int, float *); -void MoveGroupMConn(CtrlType *, GraphType *, idxtype *, idxtype *, int, int, int, idxtype *); -void EliminateComponents(CtrlType *, GraphType *, int, float *, float); -void MoveGroup(CtrlType *, GraphType *, int, int, int, idxtype *, idxtype *); - -/* timing.c */ -void InitTimers(CtrlType *); -void PrintTimers(CtrlType *); -double seconds(void); - -/* util.c */ -void errexit(char *,...); -#ifndef DMALLOC -int *imalloc(int, char *); -idxtype *idxmalloc(int, char *); -float *fmalloc(int, char *); -int *ismalloc(int, int, char *); -idxtype *idxsmalloc(int, idxtype, char *); -void *GKmalloc(int, char *); -#endif -/*void GKfree(void **,...); */ -int *iset(int n, int val, int *x); -idxtype *idxset(int n, idxtype val, idxtype *x); -float *sset(int n, float val, float *x); -int iamax(int, int *); -int idxamax(int, idxtype *); -int idxamax_strd(int, idxtype *, int); -int samax(int, float *); -int samax2(int, float *); -int idxamin(int, idxtype *); -int samin(int, float *); -int idxsum(int, idxtype *); -int idxsum_strd(int, idxtype *, int); -void idxadd(int, idxtype *, idxtype *); -int charsum(int, char *); -int isum(int, int *); -float ssum(int, float *); -float ssum_strd(int n, float *x, int); -void sscale(int n, float, float *x); -float snorm2(int, float *); -float sdot(int n, float *, float *); -void saxpy(int, float, float *, int, float *, int); -void RandomPermute(int, idxtype *, int); -int ispow2(int); -void InitRandom(int); -int log2Int(int); - - - - - - - - - - -/*************************************************************** -* Programs Directory -****************************************************************/ - -/* io.c */ -void ReadGraph(GraphType *, char *, int *); -void WritePartition(char *, idxtype *, int, int); -void WriteMeshPartition(char *, int, int, idxtype *, int, idxtype *); -void WritePermutation(char *, idxtype *, int); -int CheckGraph(GraphType *); -idxtype *ReadMesh(char *, int *, int *, int *); -void WriteGraph(char *, int, idxtype *, idxtype *); - -/* smbfactor.c */ -void ComputeFillIn(GraphType *, idxtype *); -idxtype ComputeFillIn2(GraphType *, idxtype *); -int smbfct(int, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, int *, idxtype *, idxtype *, int *); - - -/*************************************************************** -* Test Directory -****************************************************************/ -void Test_PartGraph(int, idxtype *, idxtype *); -int VerifyPart(int, idxtype *, idxtype *, idxtype *, idxtype *, int, int, idxtype *); -int VerifyWPart(int, idxtype *, idxtype *, idxtype *, idxtype *, int, float *, int, idxtype *); -void Test_PartGraphV(int, idxtype *, idxtype *); -int VerifyPartV(int, idxtype *, idxtype *, idxtype *, idxtype *, int, int, idxtype *); -int VerifyWPartV(int, idxtype *, idxtype *, idxtype *, idxtype *, int, float *, int, idxtype *); -void Test_PartGraphmC(int, idxtype *, idxtype *); -int VerifyPartmC(int, int, idxtype *, idxtype *, idxtype *, idxtype *, int, float *, int, idxtype *); -void Test_ND(int, idxtype *, idxtype *); -int VerifyND(int, idxtype *, idxtype *); - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/refine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/refine.c deleted file mode 100644 index f479298..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/refine.c +++ /dev/null @@ -1,204 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * refine.c - * - * This file contains the driving routines for multilevel refinement - * - * Started 7/24/97 - * George - * - * $Id: refine.c,v 1.1 2003/07/16 15:55:17 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of refinement -**************************************************************************/ -void Refine2Way(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, int *tpwgts, float ubfactor) -{ - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); - - /* Compute the parameters of the coarsest graph */ - Compute2WayPartitionParams(ctrl, graph); - - for (;;) { - ASSERT(CheckBnd(graph)); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); - switch (ctrl->RType) { - case 1: - Balance2Way(ctrl, graph, tpwgts, ubfactor); - FM_2WayEdgeRefine(ctrl, graph, tpwgts, 8); - break; - default: - errexit("Unknown refinement type: %d\n", ctrl->RType); - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); - - if (graph == orggraph) - break; - - graph = graph->finer; - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - Project2WayPartition(ctrl, graph); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); -} - - -/************************************************************************* -* This function allocates memory for 2-way edge refinement -**************************************************************************/ -void Allocate2WayPartitionMemory(CtrlType *ctrl, GraphType *graph) -{ - int nvtxs; - - nvtxs = graph->nvtxs; - - graph->rdata = idxmalloc(5*nvtxs+2, "Allocate2WayPartitionMemory: rdata"); - graph->pwgts = graph->rdata; - graph->where = graph->rdata + 2; - graph->id = graph->rdata + nvtxs + 2; - graph->ed = graph->rdata + 2*nvtxs + 2; - graph->bndptr = graph->rdata + 3*nvtxs + 2; - graph->bndind = graph->rdata + 4*nvtxs + 2; -} - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void Compute2WayPartitionParams(CtrlType *ctrl, GraphType *graph) -{ - int i, j, k, l, nvtxs, nbnd, mincut; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *pwgts; - idxtype *id, *ed, *where; - idxtype *bndptr, *bndind; - int me, other; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - pwgts = idxset(2, 0, graph->pwgts); - id = idxset(nvtxs, 0, graph->id); - ed = idxset(nvtxs, 0, graph->ed); - bndptr = idxset(nvtxs, -1, graph->bndptr); - bndind = graph->bndind; - - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - nbnd = mincut = 0; - for (i=0; i<nvtxs; i++) { - ASSERT(where[i] >= 0 && where[i] <= 1); - me = where[i]; - pwgts[me] += vwgt[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me == where[adjncy[j]]) - id[i] += adjwgt[j]; - else - ed[i] += adjwgt[j]; - } - - if (ed[i] > 0 || xadj[i] == xadj[i+1]) { - mincut += ed[i]; - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - } - - graph->mincut = mincut/2; - graph->nbnd = nbnd; - - ASSERT(pwgts[0]+pwgts[1] == idxsum(nvtxs, vwgt)); -} - - - -/************************************************************************* -* This function projects a partition, and at the same time computes the -* parameters for refinement. -**************************************************************************/ -void Project2WayPartition(CtrlType *ctrl, GraphType *graph) -{ - int i, j, k, nvtxs, nbnd, me; - idxtype *xadj, *adjncy, *adjwgt, *adjwgtsum; - idxtype *cmap, *where, *id, *ed, *bndptr, *bndind; - idxtype *cwhere, *cid, *ced, *cbndptr; - GraphType *cgraph; - - cgraph = graph->coarser; - cwhere = cgraph->where; - cid = cgraph->id; - ced = cgraph->ed; - cbndptr = cgraph->bndptr; - - nvtxs = graph->nvtxs; - cmap = graph->cmap; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - adjwgtsum = graph->adjwgtsum; - - Allocate2WayPartitionMemory(ctrl, graph); - - where = graph->where; - id = idxset(nvtxs, 0, graph->id); - ed = idxset(nvtxs, 0, graph->ed); - bndptr = idxset(nvtxs, -1, graph->bndptr); - bndind = graph->bndind; - - - /* Go through and project partition and compute id/ed for the nodes */ - for (i=0; i<nvtxs; i++) { - k = cmap[i]; - where[i] = cwhere[k]; - cmap[i] = cbndptr[k]; - } - - for (nbnd=0, i=0; i<nvtxs; i++) { - me = where[i]; - - id[i] = adjwgtsum[i]; - - if (xadj[i] == xadj[i+1]) { - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - else { - if (cmap[i] != -1) { /* If it is an interface node. Note that cmap[i] = cbndptr[cmap[i]] */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me != where[adjncy[j]]) - ed[i] += adjwgt[j]; - } - id[i] -= ed[i]; - - if (ed[i] > 0 || xadj[i] == xadj[i+1]) { - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - } - } - } - - graph->mincut = cgraph->mincut; - graph->nbnd = nbnd; - idxcopy(2, cgraph->pwgts, graph->pwgts); - - FreeGraph(graph->coarser); - graph->coarser = NULL; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/rename.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/rename.h deleted file mode 100644 index ca07dfe..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/rename.h +++ /dev/null @@ -1,424 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * rename.h - * - * This file contains header files - * - * Started 10/2/97 - * George - * - * $Id: rename.h,v 1.2 2003/07/24 18:39:12 karypis Exp $ - * - */ - -/* balance.c */ -#define Balance2Way __Balance2Way -#define Bnd2WayBalance __Bnd2WayBalance -#define General2WayBalance __General2WayBalance - - -/* bucketsort.c */ -#define BucketSortKeysInc __BucketSortKeysInc - - -/* ccgraph.c */ -#define CreateCoarseGraph __CreateCoarseGraph -#define CreateCoarseGraphNoMask __CreateCoarseGraphNoMask -#define CreateCoarseGraph_NVW __CreateCoarseGraph_NVW -#define SetUpCoarseGraph __SetUpCoarseGraph -#define ReAdjustMemory __ReAdjustMemory - - -/* checkgraph.c */ -#define CheckGraph __CheckGraph - - -/* coarsen.c */ -#define Coarsen2Way __Coarsen2Way - - -/* compress.c */ -#define CompressGraph __CompressGraph -#define PruneGraph __PruneGraph - - -/* debug.c */ -#define ComputeCut __ComputeCut -#define CheckBnd __CheckBnd -#define CheckBnd2 __CheckBnd2 -#define CheckNodeBnd __CheckNodeBnd -#define CheckRInfo __CheckRInfo -#define CheckNodePartitionParams __CheckNodePartitionParams -#define IsSeparable __IsSeparable - - -/* estmem.c */ -#define EstimateCFraction __EstimateCFraction -#define ComputeCoarseGraphSize __ComputeCoarseGraphSize - - -/* fm.c */ -#define FM_2WayEdgeRefine __FM_2WayEdgeRefine - - -/* fortran.c */ -#define Change2CNumbering __Change2CNumbering -#define Change2FNumbering __Change2FNumbering -#define Change2FNumbering2 __Change2FNumbering2 -#define Change2FNumberingOrder __Change2FNumberingOrder -#define ChangeMesh2CNumbering __ChangeMesh2CNumbering -#define ChangeMesh2FNumbering __ChangeMesh2FNumbering -#define ChangeMesh2FNumbering2 __ChangeMesh2FNumbering2 - - -/* graph.c */ -#define SetUpGraph __SetUpGraph -#define SetUpGraphKway __SetUpGraphKway -#define SetUpGraph2 __SetUpGraph2 -#define VolSetUpGraph __VolSetUpGraph -#define RandomizeGraph __RandomizeGraph -#define IsConnectedSubdomain __IsConnectedSubdomain -#define IsConnected __IsConnected -#define IsConnected2 __IsConnected2 -#define FindComponents __FindComponents - - -/* initpart.c */ -#define Init2WayPartition __Init2WayPartition -#define InitSeparator __InitSeparator -#define GrowBisection __GrowBisection -#define GrowBisectionNode __GrowBisectionNode -#define RandomBisection __RandomBisection - - -/* kmetis.c */ -#define MlevelKWayPartitioning __MlevelKWayPartitioning - - -/* kvmetis.c */ -#define MlevelVolKWayPartitioning __MlevelVolKWayPartitioning - - -/* kwayfm.c */ -#define Random_KWayEdgeRefine __Random_KWayEdgeRefine -#define Greedy_KWayEdgeRefine __Greedy_KWayEdgeRefine -#define Greedy_KWayEdgeBalance __Greedy_KWayEdgeBalance - - -/* kwayrefine.c */ -#define RefineKWay __RefineKWay -#define AllocateKWayPartitionMemory __AllocateKWayPartitionMemory -#define ComputeKWayPartitionParams __ComputeKWayPartitionParams -#define ProjectKWayPartition __ProjectKWayPartition -#define IsBalanced __IsBalanced -#define ComputeKWayBoundary __ComputeKWayBoundary -#define ComputeKWayBalanceBoundary __ComputeKWayBalanceBoundary - - -/* kwayvolfm.c */ -#define Random_KWayVolRefine __Random_KWayVolRefine -#define Random_KWayVolRefineMConn __Random_KWayVolRefineMConn -#define Greedy_KWayVolBalance __Greedy_KWayVolBalance -#define Greedy_KWayVolBalanceMConn __Greedy_KWayVolBalanceMConn -#define KWayVolUpdate __KWayVolUpdate -#define ComputeKWayVolume __ComputeKWayVolume -#define ComputeVolume __ComputeVolume -#define CheckVolKWayPartitionParams __CheckVolKWayPartitionParams -#define ComputeVolSubDomainGraph __ComputeVolSubDomainGraph -#define EliminateVolSubDomainEdges __EliminateVolSubDomainEdges - - -/* kwayvolrefine.c */ -#define RefineVolKWay __RefineVolKWay -#define AllocateVolKWayPartitionMemory __AllocateVolKWayPartitionMemory -#define ComputeVolKWayPartitionParams __ComputeVolKWayPartitionParams -#define ComputeKWayVolGains __ComputeKWayVolGains -#define ProjectVolKWayPartition __ProjectVolKWayPartition -#define ComputeVolKWayBoundary __ComputeVolKWayBoundary -#define ComputeVolKWayBalanceBoundary __ComputeVolKWayBalanceBoundary - - -/* match.c */ -#define Match_RM __Match_RM -#define Match_RM_NVW __Match_RM_NVW -#define Match_HEM __Match_HEM -#define Match_SHEM __Match_SHEM - - -/* mbalance.c */ -#define MocBalance2Way __MocBalance2Way -#define MocGeneral2WayBalance __MocGeneral2WayBalance - - -/* mbalance2.c */ -#define MocBalance2Way2 __MocBalance2Way2 -#define MocGeneral2WayBalance2 __MocGeneral2WayBalance2 -#define SelectQueue3 __SelectQueue3 - - -/* mcoarsen.c */ -#define MCCoarsen2Way __MCCoarsen2Way - - -/* memory.c */ -#define AllocateWorkSpace __AllocateWorkSpace -#define FreeWorkSpace __FreeWorkSpace -#define WspaceAvail __WspaceAvail -#define idxwspacemalloc __idxwspacemalloc -#define idxwspacefree __idxwspacefree -#define fwspacemalloc __fwspacemalloc -#define CreateGraph __CreateGraph -#define InitGraph __InitGraph -#define FreeGraph __FreeGraph - - -/* mesh.c */ -#define TRIDUALMETIS __TRIDUALMETIS -#define TETDUALMETIS __TETDUALMETIS -#define HEXDUALMETIS __HEXDUALMETIS -#define TRINODALMETIS __TRINODALMETIS -#define TETNODALMETIS __TETNODALMETIS -#define HEXNODALMETIS __HEXNODALMETIS - - -/* mfm.c */ -#define MocFM_2WayEdgeRefine __MocFM_2WayEdgeRefine -#define SelectQueue __SelectQueue -#define BetterBalance __BetterBalance -#define Compute2WayHLoadImbalance __Compute2WayHLoadImbalance -#define Compute2WayHLoadImbalanceVec __Compute2WayHLoadImbalanceVec - - -/* mfm2.c */ -#define MocFM_2WayEdgeRefine2 __MocFM_2WayEdgeRefine2 -#define SelectQueue2 __SelectQueue2 -#define IsBetter2wayBalance __IsBetter2wayBalance - - -/* mincover.c */ -#define MinCover __MinCover -#define MinCover_Augment __MinCover_Augment -#define MinCover_Decompose __MinCover_Decompose -#define MinCover_ColDFS __MinCover_ColDFS -#define MinCover_RowDFS __MinCover_RowDFS - - -/* minitpart.c */ -#define MocInit2WayPartition __MocInit2WayPartition -#define MocGrowBisection __MocGrowBisection -#define MocRandomBisection __MocRandomBisection -#define MocInit2WayBalance __MocInit2WayBalance -#define SelectQueueoneWay __SelectQueueoneWay - - -/* minitpart2.c */ -#define MocInit2WayPartition2 __MocInit2WayPartition2 -#define MocGrowBisection2 __MocGrowBisection2 -#define MocGrowBisectionNew2 __MocGrowBisectionNew2 -#define MocInit2WayBalance2 __MocInit2WayBalance2 -#define SelectQueueOneWay2 __SelectQueueOneWay2 - - -/* mkmetis.c */ -#define MCMlevelKWayPartitioning __MCMlevelKWayPartitioning - - -/* mkwayfmh.c */ -#define MCRandom_KWayEdgeRefineHorizontal __MCRandom_KWayEdgeRefineHorizontal -#define MCGreedy_KWayEdgeBalanceHorizontal __MCGreedy_KWayEdgeBalanceHorizontal -#define AreAllHVwgtsBelow __AreAllHVwgtsBelow -#define AreAllHVwgtsAbove __AreAllHVwgtsAbove -#define ComputeHKWayLoadImbalance __ComputeHKWayLoadImbalance -#define MocIsHBalanced __MocIsHBalanced -#define IsHBalanceBetterFT __IsHBalanceBetterFT -#define IsHBalanceBetterTT __IsHBalanceBetterTT - - -/* mkwayrefine.c */ -#define MocRefineKWayHorizontal __MocRefineKWayHorizontal -#define MocAllocateKWayPartitionMemory __MocAllocateKWayPartitionMemory -#define MocComputeKWayPartitionParams __MocComputeKWayPartitionParams -#define MocProjectKWayPartition __MocProjectKWayPartition -#define MocComputeKWayBalanceBoundary __MocComputeKWayBalanceBoundary - - -/* mmatch.c */ -#define MCMatch_RM __MCMatch_RM -#define MCMatch_HEM __MCMatch_HEM -#define MCMatch_SHEM __MCMatch_SHEM -#define MCMatch_SHEBM __MCMatch_SHEBM -#define MCMatch_SBHEM __MCMatch_SBHEM -#define BetterVBalance __BetterVBalance -#define AreAllVwgtsBelowFast __AreAllVwgtsBelowFast - - -/* mmd.c */ -#define genmmd __genmmd -#define mmdelm __mmdelm -#define mmdint __mmdint -#define mmdnum __mmdnum -#define mmdupd __mmdupd - - -/* mpmetis.c */ -#define MCMlevelRecursiveBisection __MCMlevelRecursiveBisection -#define MCHMlevelRecursiveBisection __MCHMlevelRecursiveBisection -#define MCMlevelEdgeBisection __MCMlevelEdgeBisection -#define MCHMlevelEdgeBisection __MCHMlevelEdgeBisection - - -/* mrefine.c */ -#define MocRefine2Way __MocRefine2Way -#define MocAllocate2WayPartitionMemory __MocAllocate2WayPartitionMemory -#define MocCompute2WayPartitionParams __MocCompute2WayPartitionParams -#define MocProject2WayPartition __MocProject2WayPartition - - -/* mrefine2.c */ -#define MocRefine2Way2 __MocRefine2Way2 - - -/* mutil.c */ -#define AreAllVwgtsBelow __AreAllVwgtsBelow -#define AreAnyVwgtsBelow __AreAnyVwgtsBelow -#define AreAllVwgtsAbove __AreAllVwgtsAbove -#define ComputeLoadImbalance __ComputeLoadImbalance -#define AreAllBelow __AreAllBelow - - -/* myqsort.c */ -#define iidxsort __iidxsort -#define iintsort __iintsort -#define ikeysort __ikeysort -#define ikeyvalsort __ikeyvalsort - - -/* ometis.c */ -#define MlevelNestedDissection __MlevelNestedDissection -#define MlevelNestedDissectionCC __MlevelNestedDissectionCC -#define MlevelNodeBisectionMultiple __MlevelNodeBisectionMultiple -#define MlevelNodeBisection __MlevelNodeBisection -#define SplitGraphOrder __SplitGraphOrder -#define MMDOrder __MMDOrder -#define SplitGraphOrderCC __SplitGraphOrderCC - - -/* parmetis.c */ -#define MlevelNestedDissectionP __MlevelNestedDissectionP -#define MCMlevelRecursiveBisection2 __MCMlevelRecursiveBisection2 - - -/* pmetis.c */ -#define MlevelRecursiveBisection __MlevelRecursiveBisection -#define MlevelEdgeBisection __MlevelEdgeBisection -#define SplitGraphPart __SplitGraphPart -#define SetUpSplitGraph __SetUpSplitGraph - - -/* pqueue.c */ -#define PQueueInit __PQueueInit -#define PQueueReset __PQueueReset -#define PQueueFree __PQueueFree -#define PQueueInsert __PQueueInsert -#define PQueueDelete __PQueueDelete -#define PQueueUpdate __PQueueUpdate -#define PQueueUpdateUp __PQueueUpdateUp -#define PQueueGetMax __PQueueGetMax -#define PQueueSeeMax __PQueueSeeMax -#define CheckHeap __CheckHeap - - -/* refine.c */ -#define Refine2Way __Refine2Way -#define Allocate2WayPartitionMemory __Allocate2WayPartitionMemory -#define Compute2WayPartitionParams __Compute2WayPartitionParams -#define Project2WayPartition __Project2WayPartition - - -/* separator.c */ -#define ConstructSeparator __ConstructSeparator -#define ConstructMinCoverSeparator0 __ConstructMinCoverSeparator0 -#define ConstructMinCoverSeparator __ConstructMinCoverSeparator - - -/* sfm.c */ -#define FM_2WayNodeRefine __FM_2WayNodeRefine -#define FM_2WayNodeRefineEqWgt __FM_2WayNodeRefineEqWgt -#define FM_2WayNodeRefine_OneSided __FM_2WayNodeRefine_OneSided -#define FM_2WayNodeBalance __FM_2WayNodeBalance -#define ComputeMaxNodeGain __ComputeMaxNodeGain - - -/* srefine.c */ -#define Refine2WayNode __Refine2WayNode -#define Allocate2WayNodePartitionMemory __Allocate2WayNodePartitionMemory -#define Compute2WayNodePartitionParams __Compute2WayNodePartitionParams -#define Project2WayNodePartition __Project2WayNodePartition - - -/* stat.c */ -#define ComputePartitionInfo __ComputePartitionInfo -#define ComputePartitionBalance __ComputePartitionBalance -#define ComputeElementBalance __ComputeElementBalance -#define Moc_ComputePartitionBalance __Moc_ComputePartitionBalance - - -/* subdomains.c */ -#define Random_KWayEdgeRefineMConn __Random_KWayEdgeRefineMConn -#define Greedy_KWayEdgeBalanceMConn __Greedy_KWayEdgeBalanceMConn -#define PrintSubDomainGraph __PrintSubDomainGraph -#define ComputeSubDomainGraph __ComputeSubDomainGraph -#define EliminateSubDomainEdges __EliminateSubDomainEdges -#define MoveGroupMConn __MoveGroupMConn -#define EliminateComponents __EliminateComponents -#define MoveGroup __MoveGroup - - -/* timing.c */ -#define InitTimers __InitTimers -#define PrintTimers __PrintTimers -#define seconds __seconds - - -/* util.c */ -#define errexit __errexit -#define GKfree __GKfree -#ifndef DMALLOC -#define imalloc __imalloc -#define idxmalloc __idxmalloc -#define fmalloc __fmalloc -#define ismalloc __ismalloc -#define idxsmalloc __idxsmalloc -#define GKmalloc __GKmalloc -#endif -#define iset __iset -#define idxset __idxset -#define sset __sset -#define iamax __iamax -#define idxamax __idxamax -#define idxamax_strd __idxamax_strd -#define samax __samax -#define samax2 __samax2 -#define idxamin __idxamin -#define samin __samin -#define idxsum __idxsum -#define idxsum_strd __idxsum_strd -#define idxadd __idxadd -#define charsum __charsum -#define isum __isum -#define ssum __ssum -#define ssum_strd __ssum_strd -#define sscale __sscale -#define snorm2 __snorm2 -#define sdot __sdot -#define saxpy __saxpy -#define RandomPermute __RandomPermute -#define ispow2 __ispow2 -#define InitRandom __InitRandom -#define log2Int __log2Int - - - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/separator.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/separator.c deleted file mode 100644 index 380d4f4..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/separator.c +++ /dev/null @@ -1,284 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * separator.c - * - * This file contains code for separator extraction - * - * Started 8/1/97 - * George - * - * $Id: separator.c,v 1.1 2003/07/16 15:55:17 karypis Exp $ - * - */ - -#include <metis.h> - -/************************************************************************* -* This function takes a bisection and constructs a minimum weight vertex -* separator out of it. It uses the node-based separator refinement for it. -**************************************************************************/ -void ConstructSeparator(CtrlType *ctrl, GraphType *graph, float ubfactor) -{ - int i, j, k, nvtxs, nbnd; - idxtype *xadj, *where, *bndind; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - nbnd = graph->nbnd; - bndind = graph->bndind; - - where = idxcopy(nvtxs, graph->where, idxwspacemalloc(ctrl, nvtxs)); - - /* Put the nodes in the boundary into the separator */ - for (i=0; i<nbnd; i++) { - j = bndind[i]; - if (xadj[j+1]-xadj[j] > 0) /* Ignore islands */ - where[j] = 2; - } - - GKfree(&graph->rdata, LTERM); - Allocate2WayNodePartitionMemory(ctrl, graph); - idxcopy(nvtxs, where, graph->where); - idxwspacefree(ctrl, nvtxs); - - ASSERT(IsSeparable(graph)); - - Compute2WayNodePartitionParams(ctrl, graph); - - ASSERT(CheckNodePartitionParams(graph)); - - FM_2WayNodeRefine(ctrl, graph, ubfactor, 8); - - ASSERT(IsSeparable(graph)); -} - - - -/************************************************************************* -* This function takes a bisection and constructs a minimum weight vertex -* separator out of it. It uses an unweighted minimum-cover algorithm -* followed by node-based separator refinement. -**************************************************************************/ -void ConstructMinCoverSeparator0(CtrlType *ctrl, GraphType *graph, float ubfactor) -{ - int i, ii, j, jj, k, l, nvtxs, nbnd, bnvtxs[3], bnedges[2], csize; - idxtype *xadj, *adjncy, *bxadj, *badjncy; - idxtype *where, *bndind, *bndptr, *vmap, *ivmap, *cover; - - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - - nbnd = graph->nbnd; - bndind = graph->bndind; - bndptr = graph->bndptr; - where = graph->where; - - vmap = idxwspacemalloc(ctrl, nvtxs); - ivmap = idxwspacemalloc(ctrl, nbnd); - cover = idxwspacemalloc(ctrl, nbnd); - - if (nbnd > 0) { - /* Go through the boundary and determine the sizes of the bipartite graph */ - bnvtxs[0] = bnvtxs[1] = bnedges[0] = bnedges[1] = 0; - for (i=0; i<nbnd; i++) { - j = bndind[i]; - k = where[j]; - if (xadj[j+1]-xadj[j] > 0) { - bnvtxs[k]++; - bnedges[k] += xadj[j+1]-xadj[j]; - } - } - - bnvtxs[2] = bnvtxs[0]+bnvtxs[1]; - bnvtxs[1] = bnvtxs[0]; - bnvtxs[0] = 0; - - bxadj = idxmalloc(bnvtxs[2]+1, "ConstructMinCoverSeparator: bxadj"); - badjncy = idxmalloc(bnedges[0]+bnedges[1]+1, "ConstructMinCoverSeparator: badjncy"); - - /* Construct the ivmap and vmap */ - ASSERT(idxset(nvtxs, -1, vmap) == vmap); - for (i=0; i<nbnd; i++) { - j = bndind[i]; - k = where[j]; - if (xadj[j+1]-xadj[j] > 0) { - vmap[j] = bnvtxs[k]; - ivmap[bnvtxs[k]++] = j; - } - } - - /* OK, go through and put the vertices of each part starting from 0 */ - bnvtxs[1] = bnvtxs[0]; - bnvtxs[0] = 0; - bxadj[0] = l = 0; - for (k=0; k<2; k++) { - for (ii=0; ii<nbnd; ii++) { - i = bndind[ii]; - if (where[i] == k && xadj[i] < xadj[i+1]) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - jj = adjncy[j]; - if (where[jj] != k) { - ASSERT(bndptr[jj] != -1); - ASSERTP(vmap[jj] != -1, ("%d %d %d\n", jj, vmap[jj], graph->bndptr[jj])); - badjncy[l++] = vmap[jj]; - } - } - bxadj[++bnvtxs[k]] = l; - } - } - } - - ASSERT(l <= bnedges[0]+bnedges[1]); - - MinCover(bxadj, badjncy, bnvtxs[0], bnvtxs[1], cover, &csize); - - IFSET(ctrl->dbglvl, DBG_SEPINFO, - printf("Nvtxs: %6d, [%5d %5d], Cut: %6d, SS: [%6d %6d], Cover: %6d\n", nvtxs, graph->pwgts[0], graph->pwgts[1], graph->mincut, bnvtxs[0], bnvtxs[1]-bnvtxs[0], csize)); - - for (i=0; i<csize; i++) { - j = ivmap[cover[i]]; - where[j] = 2; - } - - GKfree(&bxadj, &badjncy, LTERM); - - for (i=0; i<nbnd; i++) - bndptr[bndind[i]] = -1; - for (nbnd=i=0; i<nvtxs; i++) { - if (where[i] == 2) { - bndind[nbnd] = i; - bndptr[i] = nbnd++; - } - } - } - else { - IFSET(ctrl->dbglvl, DBG_SEPINFO, - printf("Nvtxs: %6d, [%5d %5d], Cut: %6d, SS: [%6d %6d], Cover: %6d\n", nvtxs, graph->pwgts[0], graph->pwgts[1], graph->mincut, 0, 0, 0)); - } - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, graph->nbnd); - idxwspacefree(ctrl, graph->nbnd); - graph->nbnd = nbnd; - - - ASSERT(IsSeparable(graph)); -} - - - -/************************************************************************* -* This function takes a bisection and constructs a minimum weight vertex -* separator out of it. It uses an unweighted minimum-cover algorithm -* followed by node-based separator refinement. -**************************************************************************/ -void ConstructMinCoverSeparator(CtrlType *ctrl, GraphType *graph, float ubfactor) -{ - int i, ii, j, jj, k, l, nvtxs, nbnd, bnvtxs[3], bnedges[2], csize; - idxtype *xadj, *adjncy, *bxadj, *badjncy; - idxtype *where, *bndind, *bndptr, *vmap, *ivmap, *cover; - - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - - nbnd = graph->nbnd; - bndind = graph->bndind; - bndptr = graph->bndptr; - where = graph->where; - - vmap = idxwspacemalloc(ctrl, nvtxs); - ivmap = idxwspacemalloc(ctrl, nbnd); - cover = idxwspacemalloc(ctrl, nbnd); - - if (nbnd > 0) { - /* Go through the boundary and determine the sizes of the bipartite graph */ - bnvtxs[0] = bnvtxs[1] = bnedges[0] = bnedges[1] = 0; - for (i=0; i<nbnd; i++) { - j = bndind[i]; - k = where[j]; - if (xadj[j+1]-xadj[j] > 0) { - bnvtxs[k]++; - bnedges[k] += xadj[j+1]-xadj[j]; - } - } - - bnvtxs[2] = bnvtxs[0]+bnvtxs[1]; - bnvtxs[1] = bnvtxs[0]; - bnvtxs[0] = 0; - - bxadj = idxmalloc(bnvtxs[2]+1, "ConstructMinCoverSeparator: bxadj"); - badjncy = idxmalloc(bnedges[0]+bnedges[1]+1, "ConstructMinCoverSeparator: badjncy"); - - /* Construct the ivmap and vmap */ - ASSERT(idxset(nvtxs, -1, vmap) == vmap); - for (i=0; i<nbnd; i++) { - j = bndind[i]; - k = where[j]; - if (xadj[j+1]-xadj[j] > 0) { - vmap[j] = bnvtxs[k]; - ivmap[bnvtxs[k]++] = j; - } - } - - /* OK, go through and put the vertices of each part starting from 0 */ - bnvtxs[1] = bnvtxs[0]; - bnvtxs[0] = 0; - bxadj[0] = l = 0; - for (k=0; k<2; k++) { - for (ii=0; ii<nbnd; ii++) { - i = bndind[ii]; - if (where[i] == k && xadj[i] < xadj[i+1]) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - jj = adjncy[j]; - if (where[jj] != k) { - ASSERT(bndptr[jj] != -1); - ASSERTP(vmap[jj] != -1, ("%d %d %d\n", jj, vmap[jj], graph->bndptr[jj])); - badjncy[l++] = vmap[jj]; - } - } - bxadj[++bnvtxs[k]] = l; - } - } - } - - ASSERT(l <= bnedges[0]+bnedges[1]); - - MinCover(bxadj, badjncy, bnvtxs[0], bnvtxs[1], cover, &csize); - - IFSET(ctrl->dbglvl, DBG_SEPINFO, - printf("Nvtxs: %6d, [%5d %5d], Cut: %6d, SS: [%6d %6d], Cover: %6d\n", nvtxs, graph->pwgts[0], graph->pwgts[1], graph->mincut, bnvtxs[0], bnvtxs[1]-bnvtxs[0], csize)); - - for (i=0; i<csize; i++) { - j = ivmap[cover[i]]; - where[j] = 2; - } - - GKfree(&bxadj, &badjncy, LTERM); - } - else { - IFSET(ctrl->dbglvl, DBG_SEPINFO, - printf("Nvtxs: %6d, [%5d %5d], Cut: %6d, SS: [%6d %6d], Cover: %6d\n", nvtxs, graph->pwgts[0], graph->pwgts[1], graph->mincut, 0, 0, 0)); - } - - /* Prepare to refine the vertex separator */ - idxcopy(nvtxs, graph->where, vmap); - GKfree(&graph->rdata, LTERM); - - Allocate2WayNodePartitionMemory(ctrl, graph); - idxcopy(nvtxs, vmap, graph->where); - idxwspacefree(ctrl, nvtxs+2*graph->nbnd); - - Compute2WayNodePartitionParams(ctrl, graph); - - ASSERT(CheckNodePartitionParams(graph)); - - FM_2WayNodeRefine_OneSided(ctrl, graph, ubfactor, 6); - - ASSERT(IsSeparable(graph)); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/sfm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/sfm.c deleted file mode 100644 index eece33f..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/sfm.c +++ /dev/null @@ -1,1069 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * sfm.c - * - * This file contains code that implementes an FM-based separator refinement - * - * Started 8/1/97 - * George - * - * $Id: sfm.c,v 1.2 2003/07/31 06:14:01 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function performs a node-based FM refinement -**************************************************************************/ -void FM_2WayNodeRefine(CtrlType *ctrl, GraphType *graph, float ubfactor, int npasses) -{ - int i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps, nmind; - idxtype *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr; - idxtype *mptr, *mind, *moved, *swaps, *perm; - PQueueType parts[2]; - NRInfoType *rinfo; - int higain, oldgain, mincut, initcut, mincutorder; - int pass, to, other, limit; - int badmaxpwgt, mindiff, newdiff; - int u[2], g[2]; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - where = graph->where; - pwgts = graph->pwgts; - rinfo = graph->nrinfo; - - - i = ComputeMaxNodeGain(nvtxs, xadj, adjncy, vwgt); - PQueueInit(ctrl, &parts[0], nvtxs, i); - PQueueInit(ctrl, &parts[1], nvtxs, i); - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - mptr = idxwspacemalloc(ctrl, nvtxs+1); - mind = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d] Nv-Nb[%6d %6d]. ISep: %6d\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); - - badmaxpwgt = (int)(ubfactor*(pwgts[0]+pwgts[1]+pwgts[2])/2); - - for (pass=0; pass<npasses; pass++) { - idxset(nvtxs, -1, moved); - PQueueReset(&parts[0]); - PQueueReset(&parts[1]); - - mincutorder = -1; - initcut = mincut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - ASSERT(where[i] == 2); - PQueueInsert(&parts[0], i, vwgt[i]-rinfo[i].edegrees[1]); - PQueueInsert(&parts[1], i, vwgt[i]-rinfo[i].edegrees[0]); - } - - ASSERT(CheckNodeBnd(graph, nbnd)); - ASSERT(CheckNodePartitionParams(graph)); - - limit = (ctrl->oflags&OFLAG_COMPRESS ? amin(5*nbnd, 400) : amin(2*nbnd, 300)); - - /****************************************************** - * Get into the FM loop - *******************************************************/ - mptr[0] = nmind = 0; - mindiff = abs(pwgts[0]-pwgts[1]); - to = (pwgts[0] < pwgts[1] ? 0 : 1); - for (nswaps=0; nswaps<nvtxs; nswaps++) { - u[0] = PQueueSeeMax(&parts[0]); - u[1] = PQueueSeeMax(&parts[1]); - if (u[0] != -1 && u[1] != -1) { - g[0] = vwgt[u[0]]-rinfo[u[0]].edegrees[1]; - g[1] = vwgt[u[1]]-rinfo[u[1]].edegrees[0]; - - to = (g[0] > g[1] ? 0 : (g[0] < g[1] ? 1 : pass%2)); - /* to = (g[0] > g[1] ? 0 : (g[0] < g[1] ? 1 : (pwgts[0] < pwgts[1] ? 0 : 1))); */ - - if (pwgts[to]+vwgt[u[to]] > badmaxpwgt) - to = (to+1)%2; - } - else if (u[0] == -1 && u[1] == -1) { - break; - } - else if (u[0] != -1 && pwgts[0]+vwgt[u[0]] <= badmaxpwgt) { - to = 0; - } - else if (u[1] != -1 && pwgts[1]+vwgt[u[1]] <= badmaxpwgt) { - to = 1; - } - else - break; - - other = (to+1)%2; - - higain = PQueueGetMax(&parts[to]); - if (moved[higain] == -1) /* Delete if it was in the separator originally */ - PQueueDelete(&parts[other], higain, vwgt[higain]-rinfo[higain].edegrees[to]); - - ASSERT(bndptr[higain] != -1); - - pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]); - - newdiff = abs(pwgts[to]+vwgt[higain] - (pwgts[other]-rinfo[higain].edegrees[other])); - if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) { - mincut = pwgts[2]; - mincutorder = nswaps; - mindiff = newdiff; - } - else { - if (nswaps - mincutorder > limit) { - pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[other]); - break; /* No further improvement, break out */ - } - } - - BNDDelete(nbnd, bndind, bndptr, higain); - pwgts[to] += vwgt[higain]; - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - - /********************************************************** - * Update the degrees of the affected nodes - ***********************************************************/ - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */ - oldgain = vwgt[k]-rinfo[k].edegrees[to]; - rinfo[k].edegrees[to] += vwgt[higain]; - if (moved[k] == -1 || moved[k] == -(2+other)) - PQueueUpdate(&parts[other], k, oldgain, oldgain-vwgt[higain]); - } - else if (where[k] == other) { /* This vertex is pulled into the separator */ - ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k])); - BNDInsert(nbnd, bndind, bndptr, k); - - mind[nmind++] = k; /* Keep track for rollback */ - where[k] = 2; - pwgts[other] -= vwgt[k]; - - edegrees = rinfo[k].edegrees; - edegrees[0] = edegrees[1] = 0; - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] != 2) - edegrees[where[kk]] += vwgt[kk]; - else { - oldgain = vwgt[kk]-rinfo[kk].edegrees[other]; - rinfo[kk].edegrees[other] -= vwgt[k]; - if (moved[kk] == -1 || moved[kk] == -(2+to)) - PQueueUpdate(&parts[to], kk, oldgain, oldgain+vwgt[k]); - } - } - - /* Insert the new vertex into the priority queue. Only one side! */ - if (moved[k] == -1) { - PQueueInsert(&parts[to], k, vwgt[k]-edegrees[other]); - moved[k] = -(2+to); - } - } - } - mptr[nswaps+1] = nmind; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, - printf("Moved %6d to %3d, Gain: %5d [%5d] [%4d %4d] \t[%5d %5d %5d]\n", higain, to, g[to], g[other], vwgt[u[to]], vwgt[u[other]], pwgts[0], pwgts[1], pwgts[2])); - - } - - - /**************************************************************** - * Roll back computation - *****************************************************************/ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - ASSERT(CheckNodePartitionParams(graph)); - - to = where[higain]; - other = (to+1)%2; - INC_DEC(pwgts[2], pwgts[to], vwgt[higain]); - where[higain] = 2; - BNDInsert(nbnd, bndind, bndptr, higain); - - edegrees = rinfo[higain].edegrees; - edegrees[0] = edegrees[1] = 0; - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) - rinfo[k].edegrees[to] -= vwgt[higain]; - else - edegrees[where[k]] += vwgt[k]; - } - - /* Push nodes out of the separator */ - for (j=mptr[nswaps]; j<mptr[nswaps+1]; j++) { - k = mind[j]; - ASSERT(where[k] == 2); - where[k] = other; - INC_DEC(pwgts[other], pwgts[2], vwgt[k]); - BNDDelete(nbnd, bndind, bndptr, k); - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] == 2) - rinfo[kk].edegrees[other] += vwgt[k]; - } - } - } - - ASSERT(mincut == pwgts[2]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\tMinimum sep: %6d at %5d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, mincutorder, pwgts[0], pwgts[1], nbnd)); - - graph->mincut = mincut; - graph->nbnd = nbnd; - - if (mincutorder == -1 || mincut >= initcut) - break; - } - - PQueueFree(ctrl, &parts[0]); - PQueueFree(ctrl, &parts[1]); - - idxwspacefree(ctrl, nvtxs+1); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - -/************************************************************************* -* This function performs a node-based FM refinement -**************************************************************************/ -void FM_2WayNodeRefine2(CtrlType *ctrl, GraphType *graph, float ubfactor, int npasses) -{ - int i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps, nmind; - idxtype *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr; - idxtype *mptr, *mind, *moved, *swaps, *perm; - PQueueType parts[2]; - NRInfoType *rinfo; - int higain, oldgain, mincut, initcut, mincutorder; - int pass, to, other, limit; - int badmaxpwgt, mindiff, newdiff; - int u[2], g[2]; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - where = graph->where; - pwgts = graph->pwgts; - rinfo = graph->nrinfo; - - - i = ComputeMaxNodeGain(nvtxs, xadj, adjncy, vwgt); - PQueueInit(ctrl, &parts[0], nvtxs, i); - PQueueInit(ctrl, &parts[1], nvtxs, i); - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - mptr = idxwspacemalloc(ctrl, nvtxs+1); - mind = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d] Nv-Nb[%6d %6d]. ISep: %6d\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); - - badmaxpwgt = (int)(ubfactor*(pwgts[0]+pwgts[1]+pwgts[2])/2); - - for (pass=0; pass<npasses; pass++) { - idxset(nvtxs, -1, moved); - PQueueReset(&parts[0]); - PQueueReset(&parts[1]); - - mincutorder = -1; - initcut = mincut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - ASSERT(where[i] == 2); - PQueueInsert(&parts[0], i, vwgt[i]-rinfo[i].edegrees[1]); - PQueueInsert(&parts[1], i, vwgt[i]-rinfo[i].edegrees[0]); - } - - ASSERT(CheckNodeBnd(graph, nbnd)); - ASSERT(CheckNodePartitionParams(graph)); - - limit = (ctrl->oflags&OFLAG_COMPRESS ? amin(5*nbnd, 400) : amin(2*nbnd, 300)); - - /****************************************************** - * Get into the FM loop - *******************************************************/ - mptr[0] = nmind = 0; - mindiff = abs(pwgts[0]-pwgts[1]); - to = (pwgts[0] < pwgts[1] ? 0 : 1); - for (nswaps=0; nswaps<nvtxs; nswaps++) { - badmaxpwgt = (int)(ubfactor*(pwgts[0]+pwgts[1]+pwgts[2]/2)/2); - - u[0] = PQueueSeeMax(&parts[0]); - u[1] = PQueueSeeMax(&parts[1]); - if (u[0] != -1 && u[1] != -1) { - g[0] = vwgt[u[0]]-rinfo[u[0]].edegrees[1]; - g[1] = vwgt[u[1]]-rinfo[u[1]].edegrees[0]; - - to = (g[0] > g[1] ? 0 : (g[0] < g[1] ? 1 : pass%2)); - /* to = (g[0] > g[1] ? 0 : (g[0] < g[1] ? 1 : (pwgts[0] < pwgts[1] ? 0 : 1))); */ - - if (pwgts[to]+vwgt[u[to]] > badmaxpwgt) - to = (to+1)%2; - } - else if (u[0] == -1 && u[1] == -1) { - break; - } - else if (u[0] != -1 && pwgts[0]+vwgt[u[0]] <= badmaxpwgt) { - to = 0; - } - else if (u[1] != -1 && pwgts[1]+vwgt[u[1]] <= badmaxpwgt) { - to = 1; - } - else - break; - - other = (to+1)%2; - - higain = PQueueGetMax(&parts[to]); - if (moved[higain] == -1) /* Delete if it was in the separator originally */ - PQueueDelete(&parts[other], higain, vwgt[higain]-rinfo[higain].edegrees[to]); - - ASSERT(bndptr[higain] != -1); - - pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]); - - newdiff = abs(pwgts[to]+vwgt[higain] - (pwgts[other]-rinfo[higain].edegrees[other])); - if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) { - mincut = pwgts[2]; - mincutorder = nswaps; - mindiff = newdiff; - } - else { - if (nswaps - mincutorder > limit) { - pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[other]); - break; /* No further improvement, break out */ - } - } - - BNDDelete(nbnd, bndind, bndptr, higain); - pwgts[to] += vwgt[higain]; - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - - /********************************************************** - * Update the degrees of the affected nodes - ***********************************************************/ - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */ - oldgain = vwgt[k]-rinfo[k].edegrees[to]; - rinfo[k].edegrees[to] += vwgt[higain]; - if (moved[k] == -1 || moved[k] == -(2+other)) - PQueueUpdate(&parts[other], k, oldgain, oldgain-vwgt[higain]); - } - else if (where[k] == other) { /* This vertex is pulled into the separator */ - ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k])); - BNDInsert(nbnd, bndind, bndptr, k); - - mind[nmind++] = k; /* Keep track for rollback */ - where[k] = 2; - pwgts[other] -= vwgt[k]; - - edegrees = rinfo[k].edegrees; - edegrees[0] = edegrees[1] = 0; - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] != 2) - edegrees[where[kk]] += vwgt[kk]; - else { - oldgain = vwgt[kk]-rinfo[kk].edegrees[other]; - rinfo[kk].edegrees[other] -= vwgt[k]; - if (moved[kk] == -1 || moved[kk] == -(2+to)) - PQueueUpdate(&parts[to], kk, oldgain, oldgain+vwgt[k]); - } - } - - /* Insert the new vertex into the priority queue. Only one side! */ - if (moved[k] == -1) { - PQueueInsert(&parts[to], k, vwgt[k]-edegrees[other]); - moved[k] = -(2+to); - } - } - } - mptr[nswaps+1] = nmind; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, - printf("Moved %6d to %3d, Gain: %5d [%5d] [%4d %4d] \t[%5d %5d %5d]\n", higain, to, g[to], g[other], vwgt[u[to]], vwgt[u[other]], pwgts[0], pwgts[1], pwgts[2])); - - } - - - /**************************************************************** - * Roll back computation - *****************************************************************/ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - ASSERT(CheckNodePartitionParams(graph)); - - to = where[higain]; - other = (to+1)%2; - INC_DEC(pwgts[2], pwgts[to], vwgt[higain]); - where[higain] = 2; - BNDInsert(nbnd, bndind, bndptr, higain); - - edegrees = rinfo[higain].edegrees; - edegrees[0] = edegrees[1] = 0; - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) - rinfo[k].edegrees[to] -= vwgt[higain]; - else - edegrees[where[k]] += vwgt[k]; - } - - /* Push nodes out of the separator */ - for (j=mptr[nswaps]; j<mptr[nswaps+1]; j++) { - k = mind[j]; - ASSERT(where[k] == 2); - where[k] = other; - INC_DEC(pwgts[other], pwgts[2], vwgt[k]); - BNDDelete(nbnd, bndind, bndptr, k); - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] == 2) - rinfo[kk].edegrees[other] += vwgt[k]; - } - } - } - - ASSERT(mincut == pwgts[2]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\tMinimum sep: %6d at %5d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, mincutorder, pwgts[0], pwgts[1], nbnd)); - - graph->mincut = mincut; - graph->nbnd = nbnd; - - if (mincutorder == -1 || mincut >= initcut) - break; - } - - PQueueFree(ctrl, &parts[0]); - PQueueFree(ctrl, &parts[1]); - - idxwspacefree(ctrl, nvtxs+1); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - -/************************************************************************* -* This function performs a node-based FM refinement -**************************************************************************/ -void FM_2WayNodeRefineEqWgt(CtrlType *ctrl, GraphType *graph, int npasses) -{ - int i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps, nmind; - idxtype *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr; - idxtype *mptr, *mind, *moved, *swaps, *perm; - PQueueType parts[2]; - NRInfoType *rinfo; - int higain, oldgain, mincut, initcut, mincutorder; - int pass, to, other, limit; - int mindiff, newdiff; - int u[2], g[2]; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - where = graph->where; - pwgts = graph->pwgts; - rinfo = graph->nrinfo; - - - i = ComputeMaxNodeGain(nvtxs, xadj, adjncy, vwgt); - PQueueInit(ctrl, &parts[0], nvtxs, i); - PQueueInit(ctrl, &parts[1], nvtxs, i); - - moved = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - mptr = idxwspacemalloc(ctrl, nvtxs+1); - mind = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d] Nv-Nb[%6d %6d]. ISep: %6d\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); - - for (pass=0; pass<npasses; pass++) { - idxset(nvtxs, -1, moved); - PQueueReset(&parts[0]); - PQueueReset(&parts[1]); - - mincutorder = -1; - initcut = mincut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - ASSERT(where[i] == 2); - PQueueInsert(&parts[0], i, vwgt[i]-rinfo[i].edegrees[1]); - PQueueInsert(&parts[1], i, vwgt[i]-rinfo[i].edegrees[0]); - } - - ASSERT(CheckNodeBnd(graph, nbnd)); - ASSERT(CheckNodePartitionParams(graph)); - - limit = (ctrl->oflags&OFLAG_COMPRESS ? amin(5*nbnd, 400) : amin(2*nbnd, 300)); - - /****************************************************** - * Get into the FM loop - *******************************************************/ - mptr[0] = nmind = 0; - mindiff = abs(pwgts[0]-pwgts[1]); - to = (pwgts[0] < pwgts[1] ? 0 : 1); - for (nswaps=0; nswaps<nvtxs; nswaps++) { - to = (pwgts[0] < pwgts[1] ? 0 : 1); - - if (pwgts[0] == pwgts[1]) { - u[0] = PQueueSeeMax(&parts[0]); - u[1] = PQueueSeeMax(&parts[1]); - if (u[0] != -1 && u[1] != -1) { - g[0] = vwgt[u[0]]-rinfo[u[0]].edegrees[1]; - g[1] = vwgt[u[1]]-rinfo[u[1]].edegrees[0]; - - to = (g[0] > g[1] ? 0 : (g[0] < g[1] ? 1 : pass%2)); - } - } - other = (to+1)%2; - - if ((higain = PQueueGetMax(&parts[to])) == -1) - break; - - if (moved[higain] == -1) /* Delete if it was in the separator originally */ - PQueueDelete(&parts[other], higain, vwgt[higain]-rinfo[higain].edegrees[to]); - - ASSERT(bndptr[higain] != -1); - - pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]); - - newdiff = abs(pwgts[to]+vwgt[higain] - (pwgts[other]-rinfo[higain].edegrees[other])); - if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) { - mincut = pwgts[2]; - mincutorder = nswaps; - mindiff = newdiff; - } - else { - if (nswaps - mincutorder > limit) { - pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[other]); - break; /* No further improvement, break out */ - } - } - - BNDDelete(nbnd, bndind, bndptr, higain); - pwgts[to] += vwgt[higain]; - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - - /********************************************************** - * Update the degrees of the affected nodes - ***********************************************************/ - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */ - oldgain = vwgt[k]-rinfo[k].edegrees[to]; - rinfo[k].edegrees[to] += vwgt[higain]; - if (moved[k] == -1 || moved[k] == -(2+other)) - PQueueUpdate(&parts[other], k, oldgain, oldgain-vwgt[higain]); - } - else if (where[k] == other) { /* This vertex is pulled into the separator */ - ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k])); - BNDInsert(nbnd, bndind, bndptr, k); - - mind[nmind++] = k; /* Keep track for rollback */ - where[k] = 2; - pwgts[other] -= vwgt[k]; - - edegrees = rinfo[k].edegrees; - edegrees[0] = edegrees[1] = 0; - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] != 2) - edegrees[where[kk]] += vwgt[kk]; - else { - oldgain = vwgt[kk]-rinfo[kk].edegrees[other]; - rinfo[kk].edegrees[other] -= vwgt[k]; - if (moved[kk] == -1 || moved[kk] == -(2+to)) - PQueueUpdate(&parts[to], kk, oldgain, oldgain+vwgt[k]); - } - } - - /* Insert the new vertex into the priority queue. Only one side! */ - if (moved[k] == -1) { - PQueueInsert(&parts[to], k, vwgt[k]-edegrees[other]); - moved[k] = -(2+to); - } - } - } - mptr[nswaps+1] = nmind; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, - printf("Moved %6d to %3d, Gain: %5d [%5d] [%4d %4d] \t[%5d %5d %5d]\n", higain, to, g[to], g[other], vwgt[u[to]], vwgt[u[other]], pwgts[0], pwgts[1], pwgts[2])); - - } - - - /**************************************************************** - * Roll back computation - *****************************************************************/ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - ASSERT(CheckNodePartitionParams(graph)); - - to = where[higain]; - other = (to+1)%2; - INC_DEC(pwgts[2], pwgts[to], vwgt[higain]); - where[higain] = 2; - BNDInsert(nbnd, bndind, bndptr, higain); - - edegrees = rinfo[higain].edegrees; - edegrees[0] = edegrees[1] = 0; - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) - rinfo[k].edegrees[to] -= vwgt[higain]; - else - edegrees[where[k]] += vwgt[k]; - } - - /* Push nodes out of the separator */ - for (j=mptr[nswaps]; j<mptr[nswaps+1]; j++) { - k = mind[j]; - ASSERT(where[k] == 2); - where[k] = other; - INC_DEC(pwgts[other], pwgts[2], vwgt[k]); - BNDDelete(nbnd, bndind, bndptr, k); - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] == 2) - rinfo[kk].edegrees[other] += vwgt[k]; - } - } - } - - ASSERT(mincut == pwgts[2]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\tMinimum sep: %6d at %5d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, mincutorder, pwgts[0], pwgts[1], nbnd)); - - graph->mincut = mincut; - graph->nbnd = nbnd; - - if (mincutorder == -1 || mincut >= initcut) - break; - } - - PQueueFree(ctrl, &parts[0]); - PQueueFree(ctrl, &parts[1]); - - idxwspacefree(ctrl, nvtxs+1); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - -/************************************************************************* -* This function performs a node-based FM refinement. This is the -* one-way version -**************************************************************************/ -void FM_2WayNodeRefine_OneSided(CtrlType *ctrl, GraphType *graph, float ubfactor, int npasses) -{ - int i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps, nmind; - idxtype *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr; - idxtype *mptr, *mind, *swaps, *perm; - PQueueType parts; - NRInfoType *rinfo; - int higain, oldgain, mincut, initcut, mincutorder; - int pass, to, other, limit; - int badmaxpwgt, mindiff, newdiff; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - where = graph->where; - pwgts = graph->pwgts; - rinfo = graph->nrinfo; - - PQueueInit(ctrl, &parts, nvtxs, ComputeMaxNodeGain(nvtxs, xadj, adjncy, vwgt)); - - perm = idxwspacemalloc(ctrl, nvtxs); - swaps = idxwspacemalloc(ctrl, nvtxs); - mptr = idxwspacemalloc(ctrl, nvtxs+1); - mind = idxwspacemalloc(ctrl, nvtxs); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions-N1: [%6d %6d] Nv-Nb[%6d %6d]. ISep: %6d\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); - - badmaxpwgt = (int)(ubfactor*(pwgts[0]+pwgts[1]+pwgts[2])/2); - - to = (pwgts[0] < pwgts[1] ? 1 : 0); - for (pass=0; pass<npasses; pass++) { - other = to; - to = (to+1)%2; - - PQueueReset(&parts); - - mincutorder = -1; - initcut = mincut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - ASSERT(where[i] == 2); - PQueueInsert(&parts, i, vwgt[i]-rinfo[i].edegrees[other]); - } - - ASSERT(CheckNodeBnd(graph, nbnd)); - ASSERT(CheckNodePartitionParams(graph)); - - limit = (ctrl->oflags&OFLAG_COMPRESS ? amin(5*nbnd, 400) : amin(2*nbnd, 300)); - - /****************************************************** - * Get into the FM loop - *******************************************************/ - mptr[0] = nmind = 0; - mindiff = abs(pwgts[0]-pwgts[1]); - for (nswaps=0; nswaps<nvtxs; nswaps++) { - - if ((higain = PQueueGetMax(&parts)) == -1) - break; - - ASSERT(bndptr[higain] != -1); - - if (pwgts[to]+vwgt[higain] > badmaxpwgt) - break; /* No point going any further. Balance will be bad */ - - pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]); - - newdiff = abs(pwgts[to]+vwgt[higain] - (pwgts[other]-rinfo[higain].edegrees[other])); - if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) { - mincut = pwgts[2]; - mincutorder = nswaps; - mindiff = newdiff; - } - else { - if (nswaps - mincutorder > limit) { - pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[other]); - break; /* No further improvement, break out */ - } - } - - BNDDelete(nbnd, bndind, bndptr, higain); - pwgts[to] += vwgt[higain]; - where[higain] = to; - swaps[nswaps] = higain; - - - /********************************************************** - * Update the degrees of the affected nodes - ***********************************************************/ - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */ - rinfo[k].edegrees[to] += vwgt[higain]; - } - else if (where[k] == other) { /* This vertex is pulled into the separator */ - ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k])); - BNDInsert(nbnd, bndind, bndptr, k); - - mind[nmind++] = k; /* Keep track for rollback */ - where[k] = 2; - pwgts[other] -= vwgt[k]; - - edegrees = rinfo[k].edegrees; - edegrees[0] = edegrees[1] = 0; - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] != 2) - edegrees[where[kk]] += vwgt[kk]; - else { - oldgain = vwgt[kk]-rinfo[kk].edegrees[other]; - rinfo[kk].edegrees[other] -= vwgt[k]; - - /* Since the moves are one-sided this vertex has not been moved yet */ - PQueueUpdateUp(&parts, kk, oldgain, oldgain+vwgt[k]); - } - } - - /* Insert the new vertex into the priority queue. Safe due to one-sided moves */ - PQueueInsert(&parts, k, vwgt[k]-edegrees[other]); - } - } - mptr[nswaps+1] = nmind; - - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, - printf("Moved %6d to %3d, Gain: %5d [%5d] \t[%5d %5d %5d] [%3d %2d]\n", - higain, to, (vwgt[higain]-rinfo[higain].edegrees[other]), vwgt[higain], pwgts[0], pwgts[1], pwgts[2], nswaps, limit)); - - } - - - /**************************************************************** - * Roll back computation - *****************************************************************/ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - ASSERT(CheckNodePartitionParams(graph)); - ASSERT(where[higain] == to); - - INC_DEC(pwgts[2], pwgts[to], vwgt[higain]); - where[higain] = 2; - BNDInsert(nbnd, bndind, bndptr, higain); - - edegrees = rinfo[higain].edegrees; - edegrees[0] = edegrees[1] = 0; - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) - rinfo[k].edegrees[to] -= vwgt[higain]; - else - edegrees[where[k]] += vwgt[k]; - } - - /* Push nodes out of the separator */ - for (j=mptr[nswaps]; j<mptr[nswaps+1]; j++) { - k = mind[j]; - ASSERT(where[k] == 2); - where[k] = other; - INC_DEC(pwgts[other], pwgts[2], vwgt[k]); - BNDDelete(nbnd, bndind, bndptr, k); - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] == 2) - rinfo[kk].edegrees[other] += vwgt[k]; - } - } - } - - ASSERT(mincut == pwgts[2]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\tMinimum sep: %6d at %5d, PWGTS: [%6d %6d], NBND: %6d\n", mincut, mincutorder, pwgts[0], pwgts[1], nbnd)); - - graph->mincut = mincut; - graph->nbnd = nbnd; - - if (pass%2 == 1 && (mincutorder == -1 || mincut >= initcut)) - break; - } - - PQueueFree(ctrl, &parts); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs+1); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function performs a node-based FM refinement -**************************************************************************/ -void FM_2WayNodeBalance(CtrlType *ctrl, GraphType *graph, float ubfactor) -{ - int i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps; - idxtype *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr; - idxtype *perm, *moved; - PQueueType parts; - NRInfoType *rinfo; - int higain, oldgain; - int pass, to, other; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - where = graph->where; - pwgts = graph->pwgts; - rinfo = graph->nrinfo; - - if (abs(pwgts[0]-pwgts[1]) < (int)((ubfactor-1.0)*(pwgts[0]+pwgts[1]))) - return; - if (abs(pwgts[0]-pwgts[1]) < 3*idxsum(nvtxs, vwgt)/nvtxs) - return; - - to = (pwgts[0] < pwgts[1] ? 0 : 1); - other = (to+1)%2; - - PQueueInit(ctrl, &parts, nvtxs, ComputeMaxNodeGain(nvtxs, xadj, adjncy, vwgt)); - - perm = idxwspacemalloc(ctrl, nvtxs); - moved = idxset(nvtxs, -1, idxwspacemalloc(ctrl, nvtxs)); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d] Nv-Nb[%6d %6d]. ISep: %6d [B]\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut)); - - nbnd = graph->nbnd; - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - ASSERT(where[i] == 2); - PQueueInsert(&parts, i, vwgt[i]-rinfo[i].edegrees[other]); - } - - ASSERT(CheckNodeBnd(graph, nbnd)); - ASSERT(CheckNodePartitionParams(graph)); - - /****************************************************** - * Get into the FM loop - *******************************************************/ - for (nswaps=0; nswaps<nvtxs; nswaps++) { - if ((higain = PQueueGetMax(&parts)) == -1) - break; - - moved[higain] = 1; - - if (pwgts[other] - rinfo[higain].edegrees[other] < (pwgts[0]+pwgts[1])/2) - continue; -#ifdef XXX - if (pwgts[other] - rinfo[higain].edegrees[other] < pwgts[to]+vwgt[higain]) - break; -#endif - - ASSERT(bndptr[higain] != -1); - - pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]); - - BNDDelete(nbnd, bndind, bndptr, higain); - pwgts[to] += vwgt[higain]; - where[higain] = to; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, - printf("Moved %6d to %3d, Gain: %3d, \t[%5d %5d %5d]\n", higain, to, vwgt[higain]-rinfo[higain].edegrees[other], pwgts[0], pwgts[1], pwgts[2])); - - - /********************************************************** - * Update the degrees of the affected nodes - ***********************************************************/ - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */ - rinfo[k].edegrees[to] += vwgt[higain]; - } - else if (where[k] == other) { /* This vertex is pulled into the separator */ - ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k])); - BNDInsert(nbnd, bndind, bndptr, k); - - where[k] = 2; - pwgts[other] -= vwgt[k]; - - edegrees = rinfo[k].edegrees; - edegrees[0] = edegrees[1] = 0; - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - kk = adjncy[jj]; - if (where[kk] != 2) - edegrees[where[kk]] += vwgt[kk]; - else { - ASSERT(bndptr[kk] != -1); - oldgain = vwgt[kk]-rinfo[kk].edegrees[other]; - rinfo[kk].edegrees[other] -= vwgt[k]; - - if (moved[kk] == -1) - PQueueUpdateUp(&parts, kk, oldgain, oldgain+vwgt[k]); - } - } - - /* Insert the new vertex into the priority queue */ - PQueueInsert(&parts, k, vwgt[k]-edegrees[other]); - } - } - - if (pwgts[to] > pwgts[other]) - break; - } - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\tBalanced sep: %6d at %4d, PWGTS: [%6d %6d], NBND: %6d\n", pwgts[2], nswaps, pwgts[0], pwgts[1], nbnd)); - - graph->mincut = pwgts[2]; - graph->nbnd = nbnd; - - - PQueueFree(ctrl, &parts); - - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); -} - - -/************************************************************************* -* This function computes the maximum possible gain for a vertex -**************************************************************************/ -int ComputeMaxNodeGain(int nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt) -{ - int i, j, k, max; - - max = 0; - for (j=xadj[0]; j<xadj[1]; j++) - max += vwgt[adjncy[j]]; - - for (i=1; i<nvtxs; i++) { - for (k=0, j=xadj[i]; j<xadj[i+1]; j++) - k += vwgt[adjncy[j]]; - if (max < k) - max = k; - } - - return max; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/srefine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/srefine.c deleted file mode 100644 index cd02cb9..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/srefine.c +++ /dev/null @@ -1,169 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * srefine.c - * - * This file contains code for the separator refinement algortihms - * - * Started 8/1/97 - * George - * - * $Id: srefine.c,v 1.1 2003/07/16 15:55:18 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function is the entry point of the separator refinement -**************************************************************************/ -void Refine2WayNode(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, float ubfactor) -{ - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr)); - - for (;;) { - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr)); - if (ctrl->RType != 15) - FM_2WayNodeBalance(ctrl, graph, ubfactor); - - switch (ctrl->RType) { - case 1: - FM_2WayNodeRefine(ctrl, graph, ubfactor, 8); - break; - case 2: - FM_2WayNodeRefine_OneSided(ctrl, graph, ubfactor, 8); - break; - case 3: - FM_2WayNodeRefine(ctrl, graph, ubfactor, 8); - FM_2WayNodeRefine_OneSided(ctrl, graph, ubfactor, 8); - break; - case 4: - FM_2WayNodeRefine_OneSided(ctrl, graph, ubfactor, 8); - FM_2WayNodeRefine(ctrl, graph, ubfactor, 8); - break; - case 5: - FM_2WayNodeRefineEqWgt(ctrl, graph, 8); - break; - } - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr)); - - if (graph == orggraph) - break; - - graph = graph->finer; - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - Project2WayNodePartition(ctrl, graph); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr)); -} - - -/************************************************************************* -* This function allocates memory for 2-way edge refinement -**************************************************************************/ -void Allocate2WayNodePartitionMemory(CtrlType *ctrl, GraphType *graph) -{ - int nvtxs, pad64; - - nvtxs = graph->nvtxs; - - pad64 = (3*nvtxs+3)%2; - - graph->rdata = idxmalloc(3*nvtxs+3+(sizeof(NRInfoType)/sizeof(idxtype))*nvtxs+pad64, "Allocate2WayPartitionMemory: rdata"); - graph->pwgts = graph->rdata; - graph->where = graph->rdata + 3; - graph->bndptr = graph->rdata + nvtxs + 3; - graph->bndind = graph->rdata + 2*nvtxs + 3; - graph->nrinfo = (NRInfoType *)(graph->rdata + 3*nvtxs + 3 + pad64); -} - - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void Compute2WayNodePartitionParams(CtrlType *ctrl, GraphType *graph) -{ - int i, j, k, l, nvtxs, nbnd; - idxtype *xadj, *adjncy, *adjwgt, *vwgt; - idxtype *where, *pwgts, *bndind, *bndptr, *edegrees; - NRInfoType *rinfo; - int me, other; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - rinfo = graph->nrinfo; - pwgts = idxset(3, 0, graph->pwgts); - bndind = graph->bndind; - bndptr = idxset(nvtxs, -1, graph->bndptr); - - - /*------------------------------------------------------------ - / Compute now the separator external degrees - /------------------------------------------------------------*/ - nbnd = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - pwgts[me] += vwgt[i]; - - ASSERT(me >=0 && me <= 2); - - if (me == 2) { /* If it is on the separator do some computations */ - BNDInsert(nbnd, bndind, bndptr, i); - - edegrees = rinfo[i].edegrees; - edegrees[0] = edegrees[1] = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = where[adjncy[j]]; - if (other != 2) - edegrees[other] += vwgt[adjncy[j]]; - } - } - } - - ASSERT(CheckNodeBnd(graph, nbnd)); - - graph->mincut = pwgts[2]; - graph->nbnd = nbnd; -} - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void Project2WayNodePartition(CtrlType *ctrl, GraphType *graph) -{ - int i, j, nvtxs; - idxtype *cmap, *where, *cwhere; - GraphType *cgraph; - - cgraph = graph->coarser; - cwhere = cgraph->where; - - nvtxs = graph->nvtxs; - cmap = graph->cmap; - - Allocate2WayNodePartitionMemory(ctrl, graph); - where = graph->where; - - /* Project the partition */ - for (i=0; i<nvtxs; i++) { - where[i] = cwhere[cmap[i]]; - ASSERTP(where[i] >= 0 && where[i] <= 2, ("%d %d %d %d\n", i, cmap[i], where[i], cwhere[cmap[i]])); - } - - FreeGraph(graph->coarser); - graph->coarser = NULL; - - Compute2WayNodePartitionParams(ctrl, graph); -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stat.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stat.c deleted file mode 100644 index 6156d6d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stat.c +++ /dev/null @@ -1,316 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * stat.c - * - * This file computes various statistics - * - * Started 7/25/97 - * George - * - * $Id: stat.c,v 1.2 2003/07/24 18:39:12 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function computes cuts and balance information -**************************************************************************/ -void ComputePartitionInfo(GraphType *graph, int nparts, idxtype *where) -{ - int i, j, k, nvtxs, ncon, mustfree=0; - idxtype *xadj, *adjncy, *vwgt, *adjwgt, *kpwgts, *tmpptr; - idxtype *padjncy, *padjwgt, *padjcut; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - adjwgt = graph->adjwgt; - - if (vwgt == NULL) { - vwgt = graph->vwgt = idxsmalloc(nvtxs, 1, "vwgt"); - mustfree = 1; - } - if (adjwgt == NULL) { - adjwgt = graph->adjwgt = idxsmalloc(xadj[nvtxs], 1, "adjwgt"); - mustfree += 2; - } - - printf("%d-way Cut: %5d, Vol: %5d, ", nparts, ComputeCut(graph, where), ComputeVolume(graph, where)); - - /* Compute balance information */ - kpwgts = idxsmalloc(ncon*nparts, 0, "ComputePartitionInfo: kpwgts"); - - for (i=0; i<nvtxs; i++) { - for (j=0; j<ncon; j++) - kpwgts[where[i]*ncon+j] += vwgt[i*ncon+j]; - } - - if (ncon == 1) { - printf("\tBalance: %5.3f out of %5.3f\n", - 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)), - 1.0*nparts*vwgt[idxamax(nvtxs, vwgt)]/(1.0*idxsum(nparts, kpwgts))); - } - else { - printf("\tBalance:"); - for (j=0; j<ncon; j++) - printf(" (%5.3f out of %5.3f)", - 1.0*nparts*kpwgts[ncon*idxamax_strd(nparts, kpwgts+j, ncon)+j]/(1.0*idxsum_strd(nparts, kpwgts+j, ncon)), - 1.0*nparts*vwgt[ncon*idxamax_strd(nvtxs, vwgt+j, ncon)+j]/(1.0*idxsum_strd(nparts, kpwgts+j, ncon))); - printf("\n"); - } - - - /* Compute p-adjncy information */ - padjncy = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjncy"); - padjwgt = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjwgt"); - padjcut = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjwgt"); - - idxset(nparts, 0, kpwgts); - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (where[i] != where[adjncy[j]]) { - padjncy[where[i]*nparts+where[adjncy[j]]] = 1; - padjcut[where[i]*nparts+where[adjncy[j]]] += adjwgt[j]; - if (kpwgts[where[adjncy[j]]] == 0) { - padjwgt[where[i]*nparts+where[adjncy[j]]]++; - kpwgts[where[adjncy[j]]] = 1; - } - } - } - for (j=xadj[i]; j<xadj[i+1]; j++) - kpwgts[where[adjncy[j]]] = 0; - } - - for (i=0; i<nparts; i++) - kpwgts[i] = idxsum(nparts, padjncy+i*nparts); - printf("Min/Max/Avg/Bal # of adjacent subdomains: %5d %5d %5.2f %7.3f\n", - kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], - 1.0*idxsum(nparts, kpwgts)/(1.0*nparts), - 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts))); - - for (i=0; i<nparts; i++) - kpwgts[i] = idxsum(nparts, padjcut+i*nparts); - printf("Min/Max/Avg/Bal # of adjacent subdomain cuts: %5d %5d %5d %7.3f\n", - kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, - 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts))); - - for (i=0; i<nparts; i++) - kpwgts[i] = idxsum(nparts, padjwgt+i*nparts); - printf("Min/Max/Avg/Bal/Frac # of interface nodes: %5d %5d %5d %7.3f %7.3f\n", - kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, - 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)), 1.0*idxsum(nparts, kpwgts)/(1.0*nvtxs)); - - tmpptr = graph->where; - graph->where = where; - for (i=0; i<nparts; i++) - IsConnectedSubdomain(NULL, graph, i, 1); - graph->where = tmpptr; - - if (mustfree == 1 || mustfree == 3) { - free(vwgt); - graph->vwgt = NULL; - } - if (mustfree == 2 || mustfree == 3) { - free(adjwgt); - graph->adjwgt = NULL; - } - - GKfree(&kpwgts, &padjncy, &padjwgt, &padjcut, LTERM); -} - - -/************************************************************************* -* This function computes cuts and balance information -**************************************************************************/ -void ComputePartitionInfoBipartite(GraphType *graph, int nparts, idxtype *where) -{ - int i, j, k, nvtxs, ncon, mustfree=0; - idxtype *xadj, *adjncy, *vwgt, *vsize, *adjwgt, *kpwgts, *tmpptr; - idxtype *padjncy, *padjwgt, *padjcut; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - vsize = graph->vsize; - adjwgt = graph->adjwgt; - - if (vwgt == NULL) { - vwgt = graph->vwgt = idxsmalloc(nvtxs, 1, "vwgt"); - mustfree = 1; - } - if (adjwgt == NULL) { - adjwgt = graph->adjwgt = idxsmalloc(xadj[nvtxs], 1, "adjwgt"); - mustfree += 2; - } - - printf("%d-way Cut: %5d, Vol: %5d, ", nparts, ComputeCut(graph, where), ComputeVolume(graph, where)); - - /* Compute balance information */ - kpwgts = idxsmalloc(ncon*nparts, 0, "ComputePartitionInfo: kpwgts"); - - for (i=0; i<nvtxs; i++) { - for (j=0; j<ncon; j++) - kpwgts[where[i]*ncon+j] += vwgt[i*ncon+j]; - } - - if (ncon == 1) { - printf("\tBalance: %5.3f out of %5.3f\n", - 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)), - 1.0*nparts*vwgt[idxamax(nvtxs, vwgt)]/(1.0*idxsum(nparts, kpwgts))); - } - else { - printf("\tBalance:"); - for (j=0; j<ncon; j++) - printf(" (%5.3f out of %5.3f)", - 1.0*nparts*kpwgts[ncon*idxamax_strd(nparts, kpwgts+j, ncon)+j]/(1.0*idxsum_strd(nparts, kpwgts+j, ncon)), - 1.0*nparts*vwgt[ncon*idxamax_strd(nvtxs, vwgt+j, ncon)+j]/(1.0*idxsum_strd(nparts, kpwgts+j, ncon))); - printf("\n"); - } - - - /* Compute p-adjncy information */ - padjncy = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjncy"); - padjwgt = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjwgt"); - padjcut = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjwgt"); - - idxset(nparts, 0, kpwgts); - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (where[i] != where[adjncy[j]]) { - padjncy[where[i]*nparts+where[adjncy[j]]] = 1; - padjcut[where[i]*nparts+where[adjncy[j]]] += adjwgt[j]; - if (kpwgts[where[adjncy[j]]] == 0) { - padjwgt[where[i]*nparts+where[adjncy[j]]] += vsize[i]; - kpwgts[where[adjncy[j]]] = 1; - } - } - } - for (j=xadj[i]; j<xadj[i+1]; j++) - kpwgts[where[adjncy[j]]] = 0; - } - - for (i=0; i<nparts; i++) - kpwgts[i] = idxsum(nparts, padjncy+i*nparts); - printf("Min/Max/Avg/Bal # of adjacent subdomains: %5d %5d %5d %7.3f\n", - kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, - 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts))); - - for (i=0; i<nparts; i++) - kpwgts[i] = idxsum(nparts, padjcut+i*nparts); - printf("Min/Max/Avg/Bal # of adjacent subdomain cuts: %5d %5d %5d %7.3f\n", - kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, - 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts))); - - for (i=0; i<nparts; i++) - kpwgts[i] = idxsum(nparts, padjwgt+i*nparts); - printf("Min/Max/Avg/Bal/Frac # of interface nodes: %5d %5d %5d %7.3f %7.3f\n", - kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, - 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)), 1.0*idxsum(nparts, kpwgts)/(1.0*nvtxs)); - - - if (mustfree == 1 || mustfree == 3) { - free(vwgt); - graph->vwgt = NULL; - } - if (mustfree == 2 || mustfree == 3) { - free(adjwgt); - graph->adjwgt = NULL; - } - - GKfree(&kpwgts, &padjncy, &padjwgt, &padjcut, LTERM); -} - - - -/************************************************************************* -* This function computes the balance of the partitioning -**************************************************************************/ -void ComputePartitionBalance(GraphType *graph, int nparts, idxtype *where, float *ubvec) -{ - int i, j, nvtxs, ncon; - idxtype *kpwgts, *vwgt; - float balance; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - vwgt = graph->vwgt; - - kpwgts = idxsmalloc(nparts, 0, "ComputePartitionInfo: kpwgts"); - - if (vwgt == NULL && ncon == 1) { - for (i=0; i<nvtxs; i++) - kpwgts[where[i]]++; - ubvec[0] = 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*nvtxs); - } - else { - for (j=0; j<ncon; j++) { - idxset(nparts, 0, kpwgts); - for (i=0; i<graph->nvtxs; i++) - kpwgts[where[i]] += vwgt[i*ncon+j]; - - ubvec[j] = 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)); - } - } - - free(kpwgts); - -} - - -/************************************************************************* -* This function computes the balance of the element partitioning -**************************************************************************/ -float ComputeElementBalance(int ne, int nparts, idxtype *where) -{ - int i; - idxtype *kpwgts; - float balance; - - kpwgts = idxsmalloc(nparts, 0, "ComputeElementBalance: kpwgts"); - - for (i=0; i<ne; i++) - kpwgts[where[i]]++; - - balance = 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)); - - free(kpwgts); - - return balance; - -} - - -/************************************************************************* -* This function computes the balance of the partitioning -**************************************************************************/ -void Moc_ComputePartitionBalance(GraphType *graph, int nparts, idxtype *where, float *ubvec) -{ - int i, j, nvtxs, ncon; - float *kpwgts, *nvwgt; - float balance; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - nvwgt = graph->nvwgt; - - kpwgts = fmalloc(nparts, "ComputePartitionInfo: kpwgts"); - - for (j=0; j<ncon; j++) { - sset(nparts, 0.0, kpwgts); - for (i=0; i<graph->nvtxs; i++) - kpwgts[where[i]] += nvwgt[i*ncon+j]; - - ubvec[j] = (float)nparts*kpwgts[samax(nparts, kpwgts)]/ssum(nparts, kpwgts); - } - - free(kpwgts); - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stats.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stats.c deleted file mode 100644 index 4f6b548..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stats.c +++ /dev/null @@ -1,44 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * stat.c - * - * This file computes various statistics - * - * Started 7/25/97 - * George - * - * $Id: stats.c,v 1.1 2003/03/13 06:33:20 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function computes the balance of the partitioning -**************************************************************************/ -void Moc_ComputePartitionBalance(GraphType *graph, int nparts, idxtype *where, float *ubvec) -{ - int i, j, nvtxs, ncon; - float *kpwgts, *nvwgt; - float balance; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - nvwgt = graph->nvwgt; - - kpwgts = fmalloc(nparts, "ComputePartitionInfo: kpwgts"); - - for (j=0; j<ncon; j++) { - sset(nparts, 0.0, kpwgts); - for (i=0; i<graph->nvtxs; i++) - kpwgts[where[i]] += nvwgt[i*ncon+j]; - - ubvec[j] = (float)nparts*kpwgts[samax(nparts, kpwgts)]/ssum(nparts, kpwgts); - } - - free(kpwgts); - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stdheaders.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stdheaders.h deleted file mode 100644 index f82b0cb..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/stdheaders.h +++ /dev/null @@ -1,26 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * stdheaders.h - * - * This file includes all necessary header files - * - * Started 8/27/94 - * George - * - * $Id: stdheaders.h,v 1.2 2003/07/25 14:31:45 karypis Exp $ - */ - - -#include <stdio.h> -#ifdef __STDC__ -#include <stdlib.h> -#else -#include <malloc.h> -#endif -#include <string.h> -#include <ctype.h> -#include <math.h> -#include <stdarg.h> -#include <time.h> - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/struct.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/struct.h deleted file mode 100644 index ff091c6..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/struct.h +++ /dev/null @@ -1,253 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * struct.h - * - * This file contains data structures for ILU routines. - * - * Started 9/26/95 - * George - * - * $Id: struct.h,v 1.2 2003/07/25 13:52:01 karypis Exp $ - */ - -#ifndef __parmetis_h__ -/* Undefine the following #define in order to use short int as the idxtype */ -#define IDXTYPE_INT - -/* Indexes are as long as integers for now */ -#ifdef IDXTYPE_INT -typedef int idxtype; -#else -typedef short idxtype; -#endif -#endif - -#define MAXIDX (1<<8*sizeof(idxtype)-2) - - -/************************************************************************* -* The following data structure stores key-value pair -**************************************************************************/ -struct KeyValueType { - idxtype key; - idxtype val; -}; - -typedef struct KeyValueType KeyValueType; - - -/************************************************************************* -* The following data structure will hold a node of a doubly-linked list. -**************************************************************************/ -struct ListNodeType { - int id; /* The id value of the node */ - struct ListNodeType *prev, *next; /* It's a doubly-linked list */ -}; - -typedef struct ListNodeType ListNodeType; - - - -/************************************************************************* -* The following data structure is used to store the buckets for the -* refinment algorithms -**************************************************************************/ -struct PQueueType { - int type; /* The type of the representation used */ - int nnodes; - int maxnodes; - int mustfree; - - /* Linear array version of the data structures */ - int pgainspan, ngainspan; /* plus and negative gain span */ - int maxgain; - ListNodeType *nodes; - ListNodeType **buckets; - - /* Heap version of the data structure */ - KeyValueType *heap; - idxtype *locator; -}; - -typedef struct PQueueType PQueueType; - - -/************************************************************************* -* The following data structure stores an edge -**************************************************************************/ -struct edegreedef { - idxtype pid; - idxtype ed; -}; -typedef struct edegreedef EDegreeType; - - -/************************************************************************* -* The following data structure stores an edge for vol -**************************************************************************/ -struct vedegreedef { - idxtype pid; - idxtype ed, ned; - idxtype gv; -}; -typedef struct vedegreedef VEDegreeType; - - -/************************************************************************* -* This data structure holds various working space data -**************************************************************************/ -struct workspacedef { - idxtype *core; /* Where pairs, indices, and degrees are coming from */ - int maxcore, ccore; - - EDegreeType *edegrees; - VEDegreeType *vedegrees; - int cdegree; - - idxtype *auxcore; /* This points to the memory of the edegrees */ - - idxtype *pmat; /* An array of k^2 used for eliminating domain - connectivity in k-way refinement */ -}; - -typedef struct workspacedef WorkSpaceType; - - -/************************************************************************* -* The following data structure holds information on degrees for k-way -* partition -**************************************************************************/ -struct rinfodef { - int id, ed; /* ID/ED of nodes */ - int ndegrees; /* The number of different ext-degrees */ - EDegreeType *edegrees; /* List of edges */ -}; - -typedef struct rinfodef RInfoType; - - -/************************************************************************* -* The following data structure holds information on degrees for k-way -* vol-based partition -**************************************************************************/ -struct vrinfodef { - int id, ed, nid; /* ID/ED of nodes */ - int gv; /* IV/EV of nodes */ - int ndegrees; /* The number of different ext-degrees */ - VEDegreeType *edegrees; /* List of edges */ -}; - -typedef struct vrinfodef VRInfoType; - - -/************************************************************************* -* The following data structure holds information on degrees for k-way -* partition -**************************************************************************/ -struct nrinfodef { - idxtype edegrees[2]; -}; - -typedef struct nrinfodef NRInfoType; - - -/************************************************************************* -* This data structure holds the input graph -**************************************************************************/ -struct graphdef { - idxtype *gdata, *rdata; /* Memory pools for graph and refinement data. - This is where memory is allocated and used - the rest of the fields in this structure */ - - int nvtxs, nedges; /* The # of vertices and edges in the graph */ - idxtype *xadj; /* Pointers to the locally stored vertices */ - idxtype *vwgt; /* Vertex weights */ - idxtype *vsize; /* Vertex sizes for min-volume formulation */ - idxtype *adjncy; /* Array that stores the adjacency lists of nvtxs */ - idxtype *adjwgt; /* Array that stores the weights of the adjacency lists */ - - idxtype *adjwgtsum; /* The sum of the adjacency weight of each vertex */ - - idxtype *label; - - idxtype *cmap; - - /* Partition parameters */ - int mincut, minvol; - idxtype *where, *pwgts; - int nbnd; - idxtype *bndptr, *bndind; - - /* Bisection refinement parameters */ - idxtype *id, *ed; - - /* K-way refinement parameters */ - RInfoType *rinfo; - - /* K-way volume refinement parameters */ - VRInfoType *vrinfo; - - /* Node refinement information */ - NRInfoType *nrinfo; - - - /* Additional info needed by the MOC routines */ - int ncon; /* The # of constrains */ - float *nvwgt; /* Normalized vertex weights */ - float *npwgts; /* The normalized partition weights */ - - struct graphdef *coarser, *finer; -}; - -typedef struct graphdef GraphType; - - - -/************************************************************************* -* The following data type implements a timer -**************************************************************************/ -typedef double timer; - - -/************************************************************************* -* The following structure stores information used by Metis -**************************************************************************/ -struct controldef { - int CoarsenTo; /* The # of vertices in the coarsest graph */ - int dbglvl; /* Controls the debuging output of the program */ - int CType; /* The type of coarsening */ - int IType; /* The type of initial partitioning */ - int RType; /* The type of refinement */ - int maxvwgt; /* The maximum allowed weight for a vertex */ - float nmaxvwgt; /* The maximum allowed weight for a vertex for each constrain */ - int optype; /* Type of operation */ - int pfactor; /* .1*prunning factor */ - int nseps; /* The number of separators to be found during multiple bisections */ - int oflags; - - WorkSpaceType wspace; /* Work Space Informations */ - - /* Various Timers */ - timer TotalTmr, InitPartTmr, MatchTmr, ContractTmr, CoarsenTmr, UncoarsenTmr, - SepTmr, RefTmr, ProjectTmr, SplitTmr, AuxTmr1, AuxTmr2, AuxTmr3, AuxTmr4, AuxTmr5, AuxTmr6; - -}; - -typedef struct controldef CtrlType; - - -/************************************************************************* -* The following data structure stores max-partition weight info for -* Vertical MOC k-way refinement -**************************************************************************/ -struct vpwgtdef { - float max[2][MAXNCON]; - int imax[2][MAXNCON]; -}; - -typedef struct vpwgtdef VPInfoType; - - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/subdomains.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/subdomains.c deleted file mode 100644 index 6fc65e7..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/subdomains.c +++ /dev/null @@ -1,1295 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * subdomains.c - * - * This file contains functions that deal with prunning the number of - * adjacent subdomains in KMETIS - * - * Started 7/15/98 - * George - * - * $Id: subdomains.c,v 1.2 2003/07/31 06:14:01 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Random_KWayEdgeRefineMConn(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor, int npasses, int ffactor) -{ - int i, ii, iii, j, jj, k, l, pass, nvtxs, nmoves, nbnd, tvwgt, myndegrees; - int from, me, to, oldcut, vwgt, gain; - int maxndoms, nadd; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *itpwgts; - idxtype *phtable, *pmat, *pmatptr, *ndoms; - EDegreeType *myedegrees; - RInfoType *myrinfo; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndptr = graph->bndptr; - bndind = graph->bndind; - - where = graph->where; - pwgts = graph->pwgts; - - pmat = ctrl->wspace.pmat; - phtable = idxwspacemalloc(ctrl, nparts); - ndoms = idxwspacemalloc(ctrl, nparts); - - ComputeSubDomainGraph(graph, nparts, pmat, ndoms); - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut)); - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - maxndoms = ndoms[idxamax(nparts, ndoms)]; - - oldcut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (nmoves=iii=0; iii<graph->nbnd; iii++) { - ii = perm[iii]; - if (ii >= nbnd) - continue; - i = bndind[ii]; - - myrinfo = graph->rinfo+i; - - if (myrinfo->ed >= myrinfo->id) { /* Total ED is too high */ - from = where[i]; - vwgt = graph->vwgt[i]; - - if (myrinfo->id > 0 && pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - /* Determine the valid domains */ - for (j=0; j<myndegrees; j++) { - to = myedegrees[j].pid; - phtable[to] = 1; - pmatptr = pmat + to*nparts; - for (nadd=0, k=0; k<myndegrees; k++) { - if (k == j) - continue; - - l = myedegrees[k].pid; - if (pmatptr[l] == 0) { - if (ndoms[l] > maxndoms-1) { - phtable[to] = 0; - nadd = maxndoms; - break; - } - nadd++; - } - } - if (ndoms[to]+nadd > maxndoms) - phtable[to] = 0; - if (nadd == 0) - phtable[to] = 2; - } - - /* Find the first valid move */ - j = myrinfo->id; - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - if (!phtable[to]) - continue; - gain = myedegrees[k].ed-j; /* j = myrinfo->id. Allow good nodes to move */ - if (pwgts[to]+vwgt <= maxwgt[to]+ffactor*gain && gain >= 0) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if (!phtable[to]) - continue; - if ((myedegrees[j].ed > myedegrees[k].ed && pwgts[to]+vwgt <= maxwgt[to]) || - (myedegrees[j].ed == myedegrees[k].ed && - itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid])) - k = j; - } - - to = myedegrees[k].pid; - - j = 0; - if (myedegrees[k].ed-myrinfo->id > 0) - j = 1; - else if (myedegrees[k].ed-myrinfo->id == 0) { - if (/*(iii&7) == 0 ||*/ phtable[myedegrees[k].pid] == 2 || pwgts[from] >= maxwgt[from] || itpwgts[from]*(pwgts[to]+vwgt) < itpwgts[to]*pwgts[from]) - j = 1; - } - if (j == 0) - continue; - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); - - /* Update pmat to reflect the move of 'i' */ - pmat[from*nparts+to] += (myrinfo->id-myedegrees[k].ed); - pmat[to*nparts+from] += (myrinfo->id-myedegrees[k].ed); - if (pmat[from*nparts+to] == 0) { - ndoms[from]--; - if (ndoms[from]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - if (pmat[to*nparts+from] == 0) { - ndoms[to]--; - if (ndoms[to]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - - /* Update where, weight, and ID/ED information of the vertex you moved */ - where[i] = to; - INC_DEC(pwgts[to], pwgts[from], vwgt); - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed-myrinfo->id < 0) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - /* Update pmat to reflect the move of 'i' for domains other than 'from' and 'to' */ - if (me != from && me != to) { - pmat[me*nparts+from] -= adjwgt[j]; - pmat[from*nparts+me] -= adjwgt[j]; - if (pmat[me*nparts+from] == 0) { - ndoms[me]--; - if (ndoms[me]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - if (pmat[from*nparts+me] == 0) { - ndoms[from]--; - if (ndoms[from]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - - if (pmat[me*nparts+to] == 0) { - ndoms[me]++; - if (ndoms[me] > maxndoms) { - IFSET(ctrl->dbglvl, DBG_REFINE, printf("You just increased the maxndoms: %d %d\n", ndoms[me], maxndoms)); - maxndoms = ndoms[me]; - } - } - if (pmat[to*nparts+me] == 0) { - ndoms[to]++; - if (ndoms[to] > maxndoms) { - IFSET(ctrl->dbglvl, DBG_REFINE, printf("You just increased the maxndoms: %d %d\n", ndoms[to], maxndoms)); - maxndoms = ndoms[to]; - } - } - pmat[me*nparts+to] += adjwgt[j]; - pmat[to*nparts+me] += adjwgt[j]; - } - - ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); - ASSERT(CheckRInfo(myrinfo)); - - } - nmoves++; - } - } - - graph->nbnd = nbnd; - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %5d, Vol: %5d, %d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, - graph->mincut, ComputeVolume(graph, where), idxsum(nparts, ndoms))); - - if (graph->mincut == oldcut) - break; - } - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); -} - - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Greedy_KWayEdgeBalanceMConn(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor, int npasses) -{ - int i, ii, iii, j, jj, k, l, pass, nvtxs, nbnd, tvwgt, myndegrees, oldgain, gain, nmoves; - int from, me, to, oldcut, vwgt, maxndoms, nadd; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *pwgts, *perm, *bndptr, *bndind, *minwgt, *maxwgt, *moved, *itpwgts; - idxtype *phtable, *pmat, *pmatptr, *ndoms; - EDegreeType *myedegrees; - RInfoType *myrinfo; - PQueueType queue; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - bndind = graph->bndind; - bndptr = graph->bndptr; - - where = graph->where; - pwgts = graph->pwgts; - - pmat = ctrl->wspace.pmat; - phtable = idxwspacemalloc(ctrl, nparts); - ndoms = idxwspacemalloc(ctrl, nparts); - - ComputeSubDomainGraph(graph, nparts, pmat, ndoms); - - - /* Setup the weight intervals of the various subdomains */ - minwgt = idxwspacemalloc(ctrl, nparts); - maxwgt = idxwspacemalloc(ctrl, nparts); - itpwgts = idxwspacemalloc(ctrl, nparts); - tvwgt = idxsum(nparts, pwgts); - ASSERT(tvwgt == idxsum(nvtxs, graph->vwgt)); - - for (i=0; i<nparts; i++) { - itpwgts[i] = tpwgts[i]*tvwgt; - maxwgt[i] = tpwgts[i]*tvwgt*ubfactor; - minwgt[i] = tpwgts[i]*tvwgt*(1.0/ubfactor); - } - - perm = idxwspacemalloc(ctrl, nvtxs); - moved = idxwspacemalloc(ctrl, nvtxs); - - PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]); - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("Partitions: [%6d %6d]-[%6d %6d], Balance: %5.3f, Nv-Nb[%6d %6d]. Cut: %6d [B]\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], minwgt[0], maxwgt[0], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nvtxs, graph->nbnd, - graph->mincut)); - - for (pass=0; pass<npasses; pass++) { - ASSERT(ComputeCut(graph, where) == graph->mincut); - - /* Check to see if things are out of balance, given the tolerance */ - for (i=0; i<nparts; i++) { - if (pwgts[i] > maxwgt[i]) - break; - } - if (i == nparts) /* Things are balanced. Return right away */ - break; - - PQueueReset(&queue); - idxset(nvtxs, -1, moved); - - oldcut = graph->mincut; - nbnd = graph->nbnd; - - RandomPermute(nbnd, perm, 1); - for (ii=0; ii<nbnd; ii++) { - i = bndind[perm[ii]]; - PQueueInsert(&queue, i, graph->rinfo[i].ed - graph->rinfo[i].id); - moved[i] = 2; - } - - maxndoms = ndoms[idxamax(nparts, ndoms)]; - - for (nmoves=0;;) { - if ((i = PQueueGetMax(&queue)) == -1) - break; - moved[i] = 1; - - myrinfo = graph->rinfo+i; - from = where[i]; - vwgt = graph->vwgt[i]; - - if (pwgts[from]-vwgt < minwgt[from]) - continue; /* This cannot be moved! */ - - myedegrees = myrinfo->edegrees; - myndegrees = myrinfo->ndegrees; - - /* Determine the valid domains */ - for (j=0; j<myndegrees; j++) { - to = myedegrees[j].pid; - phtable[to] = 1; - pmatptr = pmat + to*nparts; - for (nadd=0, k=0; k<myndegrees; k++) { - if (k == j) - continue; - - l = myedegrees[k].pid; - if (pmatptr[l] == 0) { - if (ndoms[l] > maxndoms-1) { - phtable[to] = 0; - nadd = maxndoms; - break; - } - nadd++; - } - } - if (ndoms[to]+nadd > maxndoms) - phtable[to] = 0; - } - - for (k=0; k<myndegrees; k++) { - to = myedegrees[k].pid; - if (!phtable[to]) - continue; - if (pwgts[to]+vwgt <= maxwgt[to] || itpwgts[from]*(pwgts[to]+vwgt) <= itpwgts[to]*pwgts[from]) - break; - } - if (k == myndegrees) - continue; /* break out if you did not find a candidate */ - - for (j=k+1; j<myndegrees; j++) { - to = myedegrees[j].pid; - if (!phtable[to]) - continue; - if (itpwgts[myedegrees[k].pid]*pwgts[to] < itpwgts[to]*pwgts[myedegrees[k].pid]) - k = j; - } - - to = myedegrees[k].pid; - - if (pwgts[from] < maxwgt[from] && pwgts[to] > minwgt[to] && myedegrees[k].ed-myrinfo->id < 0) - continue; - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut)); - - /* Update pmat to reflect the move of 'i' */ - pmat[from*nparts+to] += (myrinfo->id-myedegrees[k].ed); - pmat[to*nparts+from] += (myrinfo->id-myedegrees[k].ed); - if (pmat[from*nparts+to] == 0) { - ndoms[from]--; - if (ndoms[from]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - if (pmat[to*nparts+from] == 0) { - ndoms[to]--; - if (ndoms[to]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - - - /* Update where, weight, and ID/ED information of the vertex you moved */ - where[i] = to; - INC_DEC(pwgts[to], pwgts[from], vwgt); - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed == 0) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - oldgain = (myrinfo->ed-myrinfo->id); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed > 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed == 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - /* Update pmat to reflect the move of 'i' for domains other than 'from' and 'to' */ - if (me != from && me != to) { - pmat[me*nparts+from] -= adjwgt[j]; - pmat[from*nparts+me] -= adjwgt[j]; - if (pmat[me*nparts+from] == 0) { - ndoms[me]--; - if (ndoms[me]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - if (pmat[from*nparts+me] == 0) { - ndoms[from]--; - if (ndoms[from]+1 == maxndoms) - maxndoms = ndoms[idxamax(nparts, ndoms)]; - } - - if (pmat[me*nparts+to] == 0) { - ndoms[me]++; - if (ndoms[me] > maxndoms) { - IFSET(ctrl->dbglvl, DBG_REFINE, printf("You just increased the maxndoms: %d %d\n", ndoms[me], maxndoms)); - maxndoms = ndoms[me]; - } - } - if (pmat[to*nparts+me] == 0) { - ndoms[to]++; - if (ndoms[to] > maxndoms) { - IFSET(ctrl->dbglvl, DBG_REFINE, printf("You just increased the maxndoms: %d %d\n", ndoms[to], maxndoms)); - maxndoms = ndoms[to]; - } - } - pmat[me*nparts+to] += adjwgt[j]; - pmat[to*nparts+me] += adjwgt[j]; - } - - /* Update the queue */ - if (me == to || me == from) { - gain = myrinfo->ed-myrinfo->id; - if (moved[ii] == 2) { - if (myrinfo->ed > 0) - PQueueUpdate(&queue, ii, oldgain, gain); - else { - PQueueDelete(&queue, ii, oldgain); - moved[ii] = -1; - } - } - else if (moved[ii] == -1 && myrinfo->ed > 0) { - PQueueInsert(&queue, ii, gain); - moved[ii] = 2; - } - } - - ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]); - ASSERT(CheckRInfo(myrinfo)); - } - nmoves++; - } - - graph->nbnd = nbnd; - - IFSET(ctrl->dbglvl, DBG_REFINE, - printf("\t[%6d %6d], Balance: %5.3f, Nb: %6d. Nmoves: %5d, Cut: %6d, %d\n", - pwgts[idxamin(nparts, pwgts)], pwgts[idxamax(nparts, pwgts)], - 1.0*nparts*pwgts[idxamax(nparts, pwgts)]/tvwgt, graph->nbnd, nmoves, graph->mincut,idxsum(nparts, ndoms))); - } - - PQueueFree(ctrl, &queue); - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - -} - - - - -/************************************************************************* -* This function computes the subdomain graph -**************************************************************************/ -void PrintSubDomainGraph(GraphType *graph, int nparts, idxtype *where) -{ - int i, j, k, me, nvtxs, total, max; - idxtype *xadj, *adjncy, *adjwgt, *pmat; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - pmat = idxsmalloc(nparts*nparts, 0, "ComputeSubDomainGraph: pmat"); - - for (i=0; i<nvtxs; i++) { - me = where[i]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (where[k] != me) - pmat[me*nparts+where[k]] += adjwgt[j]; - } - } - - /* printf("Subdomain Info\n"); */ - total = max = 0; - for (i=0; i<nparts; i++) { - for (k=0, j=0; j<nparts; j++) { - if (pmat[i*nparts+j] > 0) - k++; - } - total += k; - - if (k > max) - max = k; -/* - printf("%2d -> %2d ", i, k); - for (j=0; j<nparts; j++) { - if (pmat[i*nparts+j] > 0) - printf("[%2d %4d] ", j, pmat[i*nparts+j]); - } - printf("\n"); -*/ - } - printf("Total adjacent subdomains: %d, Max: %d\n", total, max); - - free(pmat); -} - - - -/************************************************************************* -* This function computes the subdomain graph -**************************************************************************/ -void ComputeSubDomainGraph(GraphType *graph, int nparts, idxtype *pmat, idxtype *ndoms) -{ - int i, j, k, me, nvtxs, ndegrees; - idxtype *xadj, *adjncy, *adjwgt, *where; - RInfoType *rinfo; - EDegreeType *edegrees; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - rinfo = graph->rinfo; - - idxset(nparts*nparts, 0, pmat); - - for (i=0; i<nvtxs; i++) { - if (rinfo[i].ed > 0) { - me = where[i]; - ndegrees = rinfo[i].ndegrees; - edegrees = rinfo[i].edegrees; - - k = me*nparts; - for (j=0; j<ndegrees; j++) - pmat[k+edegrees[j].pid] += edegrees[j].ed; - } - } - - for (i=0; i<nparts; i++) { - ndoms[i] = 0; - for (j=0; j<nparts; j++) { - if (pmat[i*nparts+j] > 0) - ndoms[i]++; - } - } - -} - - - - - -/************************************************************************* -* This function computes the subdomain graph -**************************************************************************/ -void EliminateSubDomainEdges(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts) -{ - int i, ii, j, k, me, other, nvtxs, total, max, avg, totalout, nind, ncand, ncand2, target, target2, nadd; - int min, move, cpwgt, tvwgt; - idxtype *xadj, *adjncy, *vwgt, *adjwgt, *pwgts, *where, *maxpwgt, *pmat, *ndoms, *mypmat, *otherpmat, *ind; - KeyValueType *cand, *cand2; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - adjwgt = graph->adjwgt; - - where = graph->where; - pwgts = graph->pwgts; /* We assume that this is properly initialized */ - - maxpwgt = idxwspacemalloc(ctrl, nparts); - ndoms = idxwspacemalloc(ctrl, nparts); - otherpmat = idxwspacemalloc(ctrl, nparts); - ind = idxwspacemalloc(ctrl, nvtxs); - pmat = ctrl->wspace.pmat; - - cand = (KeyValueType *)GKmalloc(nparts*sizeof(KeyValueType), "EliminateSubDomainEdges: cand"); - cand2 = (KeyValueType *)GKmalloc(nparts*sizeof(KeyValueType), "EliminateSubDomainEdges: cand"); - - /* Compute the pmat matrix and ndoms */ - ComputeSubDomainGraph(graph, nparts, pmat, ndoms); - - - /* Compute the maximum allowed weight for each domain */ - tvwgt = idxsum(nparts, pwgts); - for (i=0; i<nparts; i++) - maxpwgt[i] = 1.25*tpwgts[i]*tvwgt; - - - /* Get into the loop eliminating subdomain connections */ - for (;;) { - total = idxsum(nparts, ndoms); - avg = total/nparts; - max = ndoms[idxamax(nparts, ndoms)]; - - /* printf("Adjacent Subdomain Stats: Total: %3d, Max: %3d, Avg: %3d [%5d]\n", total, max, avg, idxsum(nparts*nparts, pmat)); */ - - if (max < 1.4*avg) - break; - - me = idxamax(nparts, ndoms); - mypmat = pmat + me*nparts; - totalout = idxsum(nparts, mypmat); - - /*printf("Me: %d, TotalOut: %d,\n", me, totalout);*/ - - /* Sort the connections according to their cut */ - for (ncand2=0, i=0; i<nparts; i++) { - if (mypmat[i] > 0) { - cand2[ncand2].key = mypmat[i]; - cand2[ncand2++].val = i; - } - } - ikeysort(ncand2, cand2); - - move = 0; - for (min=0; min<ncand2; min++) { - if (cand2[min].key > totalout/(2*ndoms[me])) - break; - - other = cand2[min].val; - - /*printf("\tMinOut: %d to %d\n", mypmat[other], other);*/ - - idxset(nparts, 0, otherpmat); - - /* Go and find the vertices in 'other' that are connected in 'me' */ - for (nind=0, i=0; i<nvtxs; i++) { - if (where[i] == other) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (where[adjncy[j]] == me) { - ind[nind++] = i; - break; - } - } - } - } - - /* Go and construct the otherpmat to see where these nind vertices are connected to */ - for (cpwgt=0, ii=0; ii<nind; ii++) { - i = ind[ii]; - cpwgt += vwgt[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) - otherpmat[where[adjncy[j]]] += adjwgt[j]; - } - otherpmat[other] = 0; - - for (ncand=0, i=0; i<nparts; i++) { - if (otherpmat[i] > 0) { - cand[ncand].key = -otherpmat[i]; - cand[ncand++].val = i; - } - } - ikeysort(ncand, cand); - - /* - * Go through and the select the first domain that is common with 'me', and - * does not increase the ndoms[target] higher than my ndoms, subject to the - * maxpwgt constraint. Traversal is done from the mostly connected to the least. - */ - target = target2 = -1; - for (i=0; i<ncand; i++) { - k = cand[i].val; - - if (mypmat[k] > 0) { - if (pwgts[k] + cpwgt > maxpwgt[k]) /* Check if balance will go off */ - continue; - - for (j=0; j<nparts; j++) { - if (otherpmat[j] > 0 && ndoms[j] >= ndoms[me]-1 && pmat[nparts*j+k] == 0) - break; - } - if (j == nparts) { /* No bad second level effects */ - for (nadd=0, j=0; j<nparts; j++) { - if (otherpmat[j] > 0 && pmat[nparts*k+j] == 0) - nadd++; - } - - /*printf("\t\tto=%d, nadd=%d, %d\n", k, nadd, ndoms[k]);*/ - if (target2 == -1 && ndoms[k]+nadd < ndoms[me]) { - target2 = k; - } - if (nadd == 0) { - target = k; - break; - } - } - } - } - if (target == -1 && target2 != -1) - target = target2; - - if (target == -1) { - /* printf("\t\tCould not make the move\n");*/ - continue; - } - - /*printf("\t\tMoving to %d\n", target);*/ - - /* Update the partition weights */ - INC_DEC(pwgts[target], pwgts[other], cpwgt); - - MoveGroupMConn(ctrl, graph, ndoms, pmat, nparts, target, nind, ind); - - move = 1; - break; - } - - if (move == 0) - break; - } - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - - GKfree(&cand, &cand2, LTERM); -} - - -/************************************************************************* -* This function moves a collection of vertices and updates their rinfo -**************************************************************************/ -void MoveGroupMConn(CtrlType *ctrl, GraphType *graph, idxtype *ndoms, idxtype *pmat, - int nparts, int to, int nind, idxtype *ind) -{ - int i, ii, iii, j, jj, k, l, nvtxs, nbnd, myndegrees; - int from, me; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *bndptr, *bndind; - EDegreeType *myedegrees; - RInfoType *myrinfo; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - bndptr = graph->bndptr; - bndind = graph->bndind; - - nbnd = graph->nbnd; - - for (iii=0; iii<nind; iii++) { - i = ind[iii]; - from = where[i]; - - myrinfo = graph->rinfo+i; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[i+1]-xadj[i]; - myrinfo->ndegrees = 0; - } - myedegrees = myrinfo->edegrees; - - /* find the location of 'to' in myrinfo or create it if it is not there */ - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) - break; - } - if (k == myrinfo->ndegrees) { - myedegrees[k].pid = to; - myedegrees[k].ed = 0; - myrinfo->ndegrees++; - } - - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - /* Update pmat to reflect the move of 'i' */ - pmat[from*nparts+to] += (myrinfo->id-myedegrees[k].ed); - pmat[to*nparts+from] += (myrinfo->id-myedegrees[k].ed); - if (pmat[from*nparts+to] == 0) - ndoms[from]--; - if (pmat[to*nparts+from] == 0) - ndoms[to]--; - - /* Update where, weight, and ID/ED information of the vertex you moved */ - where[i] = to; - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed-myrinfo->id < 0 && bndptr[i] != -1) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - /* Update pmat to reflect the move of 'i' for domains other than 'from' and 'to' */ - if (me != from && me != to) { - pmat[me*nparts+from] -= adjwgt[j]; - pmat[from*nparts+me] -= adjwgt[j]; - if (pmat[me*nparts+from] == 0) - ndoms[me]--; - if (pmat[from*nparts+me] == 0) - ndoms[from]--; - - if (pmat[me*nparts+to] == 0) - ndoms[me]++; - if (pmat[to*nparts+me] == 0) - ndoms[to]++; - - pmat[me*nparts+to] += adjwgt[j]; - pmat[to*nparts+me] += adjwgt[j]; - } - - ASSERT(CheckRInfo(myrinfo)); - } - - ASSERT(CheckRInfo(graph->rinfo+i)); - } - - graph->nbnd = nbnd; - -} - - - - -/************************************************************************* -* This function finds all the connected components induced by the -* partitioning vector in wgraph->where and tries to push them around to -* remove some of them -**************************************************************************/ -void EliminateComponents(CtrlType *ctrl, GraphType *graph, int nparts, float *tpwgts, float ubfactor) -{ - int i, ii, j, jj, k, me, nvtxs, tvwgt, first, last, nleft, ncmps, cwgt, other, target, deltawgt; - idxtype *xadj, *adjncy, *vwgt, *adjwgt, *where, *pwgts, *maxpwgt; - idxtype *cpvec, *touched, *perm, *todo, *cind, *cptr, *npcmps; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vwgt = graph->vwgt; - adjwgt = graph->adjwgt; - - where = graph->where; - pwgts = graph->pwgts; - - touched = idxset(nvtxs, 0, idxwspacemalloc(ctrl, nvtxs)); - cptr = idxwspacemalloc(ctrl, nvtxs+1); - cind = idxwspacemalloc(ctrl, nvtxs); - perm = idxwspacemalloc(ctrl, nvtxs); - todo = idxwspacemalloc(ctrl, nvtxs); - maxpwgt = idxwspacemalloc(ctrl, nparts); - cpvec = idxwspacemalloc(ctrl, nparts); - npcmps = idxset(nparts, 0, idxwspacemalloc(ctrl, nparts)); - - for (i=0; i<nvtxs; i++) - perm[i] = todo[i] = i; - - /* Find the connected componends induced by the partition */ - ncmps = -1; - first = last = 0; - nleft = nvtxs; - while (nleft > 0) { - if (first == last) { /* Find another starting vertex */ - cptr[++ncmps] = first; - ASSERT(touched[todo[0]] == 0); - i = todo[0]; - cind[last++] = i; - touched[i] = 1; - me = where[i]; - npcmps[me]++; - } - - i = cind[first++]; - k = perm[i]; - j = todo[k] = todo[--nleft]; - perm[j] = k; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (where[k] == me && !touched[k]) { - cind[last++] = k; - touched[k] = 1; - } - } - } - cptr[++ncmps] = first; - - /* printf("I found %d components, for this %d-way partition\n", ncmps, nparts); */ - - if (ncmps > nparts) { /* There are more components than processors */ - /* First determine the max allowed load imbalance */ - tvwgt = idxsum(nparts, pwgts); - for (i=0; i<nparts; i++) - maxpwgt[i] = ubfactor*tpwgts[i]*tvwgt; - - deltawgt = 5; - - for (i=0; i<ncmps; i++) { - me = where[cind[cptr[i]]]; /* Get the domain of this component */ - if (npcmps[me] == 1) - continue; /* Skip it because it is contigous */ - - /*printf("Trying to move %d from %d\n", i, me); */ - - /* Determine the weight of the block to be moved and abort if too high */ - for (cwgt=0, j=cptr[i]; j<cptr[i+1]; j++) - cwgt += vwgt[cind[j]]; - - if (cwgt > .30*pwgts[me]) - continue; /* Skip the component if it is over 30% of the weight */ - - /* Determine the connectivity */ - idxset(nparts, 0, cpvec); - for (j=cptr[i]; j<cptr[i+1]; j++) { - ii = cind[j]; - for (jj=xadj[ii]; jj<xadj[ii+1]; jj++) - cpvec[where[adjncy[jj]]] += adjwgt[jj]; - } - cpvec[me] = 0; - - target = -1; - for (j=0; j<nparts; j++) { - if (cpvec[j] > 0 && (cwgt < deltawgt || pwgts[j] + cwgt < maxpwgt[j])) { - if (target == -1 || cpvec[target] < cpvec[j]) - target = j; - } - } - - /* printf("\tMoving it to %d [%d]\n", target, cpvec[target]);*/ - - if (target != -1) { - /* Assign all the vertices of 'me' to 'target' and update data structures */ - INC_DEC(pwgts[target], pwgts[me], cwgt); - npcmps[me]--; - - MoveGroup(ctrl, graph, nparts, target, i, cptr, cind); - } - } - - } - - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nparts); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs); - idxwspacefree(ctrl, nvtxs+1); - -} - - -/************************************************************************* -* This function moves a collection of vertices and updates their rinfo -**************************************************************************/ -void MoveGroup(CtrlType *ctrl, GraphType *graph, int nparts, int to, int gid, idxtype *ptr, idxtype *ind) -{ - int i, ii, iii, j, jj, k, l, nvtxs, nbnd, myndegrees; - int from, me; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where, *bndptr, *bndind; - EDegreeType *myedegrees; - RInfoType *myrinfo; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - bndptr = graph->bndptr; - bndind = graph->bndind; - - nbnd = graph->nbnd; - - for (iii=ptr[gid]; iii<ptr[gid+1]; iii++) { - i = ind[iii]; - from = where[i]; - - myrinfo = graph->rinfo+i; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[i+1]-xadj[i]; - myrinfo->ndegrees = 0; - } - myedegrees = myrinfo->edegrees; - - /* find the location of 'to' in myrinfo or create it if it is not there */ - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) - break; - } - if (k == myrinfo->ndegrees) { - myedegrees[k].pid = to; - myedegrees[k].ed = 0; - myrinfo->ndegrees++; - } - - graph->mincut -= myedegrees[k].ed-myrinfo->id; - - - /* Update where, weight, and ID/ED information of the vertex you moved */ - where[i] = to; - myrinfo->ed += myrinfo->id-myedegrees[k].ed; - SWAP(myrinfo->id, myedegrees[k].ed, j); - if (myedegrees[k].ed == 0) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].pid = from; - - if (myrinfo->ed-myrinfo->id < 0 && bndptr[i] != -1) - BNDDelete(nbnd, bndind, bndptr, i); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = graph->rinfo+ii; - if (myrinfo->edegrees == NULL) { - myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree; - ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii]; - } - myedegrees = myrinfo->edegrees; - - ASSERT(CheckRInfo(myrinfo)); - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1) - BNDInsert(nbnd, bndind, bndptr, ii); - } - else if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - - if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1) - BNDDelete(nbnd, bndind, bndptr, ii); - } - - /* Remove contribution from the .ed of 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == from) { - if (myedegrees[k].ed == adjwgt[j]) - myedegrees[k] = myedegrees[--myrinfo->ndegrees]; - else - myedegrees[k].ed -= adjwgt[j]; - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (myedegrees[k].pid == to) { - myedegrees[k].ed += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - myedegrees[myrinfo->ndegrees].pid = to; - myedegrees[myrinfo->ndegrees++].ed = adjwgt[j]; - } - } - - ASSERT(CheckRInfo(myrinfo)); - } - - ASSERT(CheckRInfo(graph->rinfo+i)); - } - - graph->nbnd = nbnd; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/timing.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/timing.c deleted file mode 100644 index a9d0910..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/timing.c +++ /dev/null @@ -1,74 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * timing.c - * - * This file contains routines that deal with timing Metis - * - * Started 7/24/97 - * George - * - * $Id: timing.c,v 1.1 2003/07/16 15:55:20 karypis Exp $ - * - */ - -#include <metis.h> - - -/************************************************************************* -* This function clears the timers -**************************************************************************/ -void InitTimers(CtrlType *ctrl) -{ - cleartimer(ctrl->TotalTmr); - cleartimer(ctrl->InitPartTmr); - cleartimer(ctrl->MatchTmr); - cleartimer(ctrl->ContractTmr); - cleartimer(ctrl->CoarsenTmr); - cleartimer(ctrl->UncoarsenTmr); - cleartimer(ctrl->RefTmr); - cleartimer(ctrl->ProjectTmr); - cleartimer(ctrl->SplitTmr); - cleartimer(ctrl->SepTmr); - cleartimer(ctrl->AuxTmr1); - cleartimer(ctrl->AuxTmr2); - cleartimer(ctrl->AuxTmr3); - cleartimer(ctrl->AuxTmr4); - cleartimer(ctrl->AuxTmr5); - cleartimer(ctrl->AuxTmr6); -} - - - -/************************************************************************* -* This function prints the various timers -**************************************************************************/ -void PrintTimers(CtrlType *ctrl) -{ - printf("\nTiming Information -------------------------------------------------"); - printf("\n Multilevel: \t\t %7.3f", gettimer(ctrl->TotalTmr)); - printf("\n Coarsening: \t\t %7.3f", gettimer(ctrl->CoarsenTmr)); - printf("\n Matching: \t\t\t %7.3f", gettimer(ctrl->MatchTmr)); - printf("\n Contract: \t\t\t %7.3f", gettimer(ctrl->ContractTmr)); - printf("\n Initial Partition: \t %7.3f", gettimer(ctrl->InitPartTmr)); - printf("\n Construct Separator: \t %7.3f", gettimer(ctrl->SepTmr)); - printf("\n Uncoarsening: \t\t %7.3f", gettimer(ctrl->UncoarsenTmr)); - printf("\n Refinement: \t\t\t %7.3f", gettimer(ctrl->RefTmr)); - printf("\n Projection: \t\t\t %7.3f", gettimer(ctrl->ProjectTmr)); - printf("\n Splitting: \t\t %7.3f", gettimer(ctrl->SplitTmr)); - printf("\n AUX1: \t\t %7.3f", gettimer(ctrl->AuxTmr1)); - printf("\n AUX2: \t\t %7.3f", gettimer(ctrl->AuxTmr2)); - printf("\n AUX3: \t\t %7.3f", gettimer(ctrl->AuxTmr3)); - printf("\n********************************************************************\n"); -} - - -/************************************************************************* -* This function returns the seconds -**************************************************************************/ -double seconds(void) -{ - return((double) clock()/CLOCKS_PER_SEC); -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/util.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/util.c deleted file mode 100644 index 5d2e739..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/util.c +++ /dev/null @@ -1,511 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * util.c - * - * This function contains various utility routines - * - * Started 9/28/95 - * George - * - * $Id: util.c,v 1.2 2003/07/21 18:53:41 karypis Exp $ - */ - -#include <metis.h> - - -/************************************************************************* -* This function prints an error message and exits -**************************************************************************/ -void errexit(char *f_str,...) -{ - va_list argp; - char out1[256], out2[256]; - - va_start(argp, f_str); - vsprintf(out1, f_str, argp); - va_end(argp); - - sprintf(out2, "Error! %s", out1); - - fprintf(stdout, out2); - fflush(stdout); - - abort(); -} - - - -#ifndef DMALLOC -/************************************************************************* -* The following function allocates an array of integers -**************************************************************************/ -int *imalloc(int n, char *msg) -{ - if (n == 0) - return NULL; - - return (int *)GKmalloc(sizeof(int)*n, msg); -} - - -/************************************************************************* -* The following function allocates an array of integers -**************************************************************************/ -idxtype *idxmalloc(int n, char *msg) -{ - if (n == 0) - return NULL; - - return (idxtype *)GKmalloc(sizeof(idxtype)*n, msg); -} - - -/************************************************************************* -* The following function allocates an array of float -**************************************************************************/ -float *fmalloc(int n, char *msg) -{ - if (n == 0) - return NULL; - - return (float *)GKmalloc(sizeof(float)*n, msg); -} - - -/************************************************************************* -* The follwoing function allocates an array of integers -**************************************************************************/ -int *ismalloc(int n, int ival, char *msg) -{ - if (n == 0) - return NULL; - - return iset(n, ival, (int *)GKmalloc(sizeof(int)*n, msg)); -} - - - -/************************************************************************* -* The follwoing function allocates an array of integers -**************************************************************************/ -idxtype *idxsmalloc(int n, idxtype ival, char *msg) -{ - if (n == 0) - return NULL; - - return idxset(n, ival, (idxtype *)GKmalloc(sizeof(idxtype)*n, msg)); -} - - -/************************************************************************* -* This function is my wrapper around malloc -**************************************************************************/ -void *GKmalloc(int nbytes, char *msg) -{ - void *ptr; - - if (nbytes == 0) - return NULL; - - ptr = (void *)malloc(nbytes); - if (ptr == NULL) - errexit("***Memory allocation failed for %s. Requested size: %d bytes", msg, nbytes); - - return ptr; -} -#endif - -/************************************************************************* -* This function is my wrapper around free, allows multiple pointers -**************************************************************************/ -void GKfree(void **ptr1,...) -{ - va_list plist; - void **ptr; - - if (*ptr1 != NULL) - free(*ptr1); - *ptr1 = NULL; - - va_start(plist, ptr1); - - /* while ((int)(ptr = va_arg(plist, void **)) != -1) { */ - while ((ptr = va_arg(plist, void **)) != LTERM) { - if (*ptr != NULL) - free(*ptr); - *ptr = NULL; - } - - va_end(plist); -} - - -/************************************************************************* -* These functions set the values of a vector -**************************************************************************/ -int *iset(int n, int val, int *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] = val; - - return x; -} - - -/************************************************************************* -* These functions set the values of a vector -**************************************************************************/ -idxtype *idxset(int n, idxtype val, idxtype *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] = val; - - return x; -} - - -/************************************************************************* -* These functions set the values of a vector -**************************************************************************/ -float *sset(int n, float val, float *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] = val; - - return x; -} - - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int iamax(int n, int *x) -{ - int i, max=0; - - for (i=1; i<n; i++) - max = (x[i] > x[max] ? i : max); - - return max; -} - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int idxamax(int n, idxtype *x) -{ - int i, max=0; - - for (i=1; i<n; i++) - max = (x[i] > x[max] ? i : max); - - return max; -} - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int idxamax_strd(int n, idxtype *x, int incx) -{ - int i, max=0; - - n *= incx; - for (i=incx; i<n; i+=incx) - max = (x[i] > x[max] ? i : max); - - return max/incx; -} - - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int samax(int n, float *x) -{ - int i, max=0; - - for (i=1; i<n; i++) - max = (x[i] > x[max] ? i : max); - - return max; -} - -/************************************************************************* -* These functions return the index of the almost maximum element in a vector -**************************************************************************/ -int samax2(int n, float *x) -{ - int i, max1, max2; - - if (x[0] > x[1]) { - max1 = 0; - max2 = 1; - } - else { - max1 = 1; - max2 = 0; - } - - for (i=2; i<n; i++) { - if (x[i] > x[max1]) { - max2 = max1; - max1 = i; - } - else if (x[i] > x[max2]) - max2 = i; - } - - return max2; -} - - -/************************************************************************* -* These functions return the index of the minimum element in a vector -**************************************************************************/ -int idxamin(int n, idxtype *x) -{ - int i, min=0; - - for (i=1; i<n; i++) - min = (x[i] < x[min] ? i : min); - - return min; -} - - -/************************************************************************* -* These functions return the index of the minimum element in a vector -**************************************************************************/ -int samin(int n, float *x) -{ - int i, min=0; - - for (i=1; i<n; i++) - min = (x[i] < x[min] ? i : min); - - return min; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -int idxsum(int n, idxtype *x) -{ - int i, sum = 0; - - for (i=0; i<n; i++) - sum += x[i]; - - return sum; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -int idxsum_strd(int n, idxtype *x, int incx) -{ - int i, sum = 0; - - for (i=0; i<n; i++, x+=incx) { - sum += *x; - } - - return sum; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -void idxadd(int n, idxtype *x, idxtype *y) -{ - for (n--; n>=0; n--) - y[n] += x[n]; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -int charsum(int n, char *x) -{ - int i, sum = 0; - - for (i=0; i<n; i++) - sum += x[i]; - - return sum; -} - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -int isum(int n, int *x) -{ - int i, sum = 0; - - for (i=0; i<n; i++) - sum += x[i]; - - return sum; -} - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -float ssum(int n, float *x) -{ - int i; - float sum = 0.0; - - for (i=0; i<n; i++) - sum += x[i]; - - return sum; -} - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -float ssum_strd(int n, float *x, int incx) -{ - int i; - float sum = 0.0; - - for (i=0; i<n; i++, x+=incx) - sum += *x; - - return sum; -} - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -void sscale(int n, float alpha, float *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] *= alpha; -} - - -/************************************************************************* -* This function computes a 2-norm -**************************************************************************/ -float snorm2(int n, float *v) -{ - int i; - float partial = 0; - - for (i = 0; i<n; i++) - partial += v[i] * v[i]; - - return sqrt(partial); -} - - - -/************************************************************************* -* This function computes a 2-norm -**************************************************************************/ -float sdot(int n, float *x, float *y) -{ - int i; - float partial = 0; - - for (i = 0; i<n; i++) - partial += x[i] * y[i]; - - return partial; -} - - -/************************************************************************* -* This function computes a 2-norm -**************************************************************************/ -void saxpy(int n, float alpha, float *x, int incx, float *y, int incy) -{ - int i; - - for (i=0; i<n; i++, x+=incx, y+=incy) - *y += alpha*(*x); -} - - - - -/************************************************************************* -* This file randomly permutes the contents of an array. -* flag == 0, don't initialize perm -* flag == 1, set p[i] = i -**************************************************************************/ -void RandomPermute(int n, idxtype *p, int flag) -{ - int i, u, v; - idxtype tmp; - - if (flag == 1) { - for (i=0; i<n; i++) - p[i] = i; - } - - if (n <= 4) - return; - - for (i=0; i<n; i+=16) { - u = RandomInRange(n-4); - v = RandomInRange(n-4); - SWAP(p[v], p[u], tmp); - SWAP(p[v+1], p[u+1], tmp); - SWAP(p[v+2], p[u+2], tmp); - SWAP(p[v+3], p[u+3], tmp); - } -} - - - -/************************************************************************* -* This function returns true if the a is a power of 2 -**************************************************************************/ -int ispow2(int a) -{ - for (; a%2 != 1; a = a>>1); - return (a > 1 ? 0 : 1); -} - - -/************************************************************************* -* This function initializes the random number generator -**************************************************************************/ -void InitRandom(int seed) -{ - if (seed == -1) - srand(4321); - else - srand(seed); -} - -/************************************************************************* -* This function returns the log2(x) -**************************************************************************/ -int log2Int(int a) -{ - int i; - - for (i=1; a > 1; i++, a = a>>1); - return i-1; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile deleted file mode 100644 index 2d53371..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile +++ /dev/null @@ -1,13 +0,0 @@ - - -default: - (cd METISLib ; make ) - (cd ParMETISLib ; make ) - (cd Programs ; make ) - -clean: - (cd METISLib ; make realclean ) - (cd ParMETISLib ; make realclean ) - (cd Programs ; make realclean ) - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.in b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.in deleted file mode 100644 index af82bb1..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.in +++ /dev/null @@ -1,32 +0,0 @@ - -# Which compiler to use -CC = mpicc - - -# What optimization level to use -OPTFLAGS = -O3 - -# Include directories for the compiler -INCDIR = -I/opt/local/include -I/usr/include/malloc - -# What options to be used by the compiler -COPTIONS = - -# Which loader to use -LD = mpicc - -# In which directories to look for any additional libraries -LIBDIR = -L/usr/lib64 -L/usr/lib64/mpi/gcc/openmpi/lib64/ - -# What additional libraries to link the programs with (eg., -lmpi) -#XTRALIBS = -lefence -#XTRALIBS = -ldmalloc - -# What archiving to use -AR = ar rv - -# What to use for indexing the archive -#RANLIB = ranlib -RANLIB = ar -ts - -VERNUM = diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.osx b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.osx deleted file mode 100644 index a8a3172..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.osx +++ /dev/null @@ -1,32 +0,0 @@ - -# Which compiler to use -CC = mpicc - - -# What optimization level to use -OPTFLAGS = -g - -# Include directories for the compiler -INCDIR = -I/opt/local/include -I/usr/include/malloc - -# What options to be used by the compiler -COPTIONS = - -# Which loader to use -LD = mpicc - -# In which directories to look for any additional libraries -LIBDIR = -L/opt/local/lib -L/usr/lib - -# What additional libraries to link the programs with (eg., -lmpi) -#XTRALIBS = -lefence -#XTRALIBS = -ldmalloc - -# What archiving to use -AR = ar rv - -# What to use for indexing the archive -#RANLIB = ranlib -RANLIB = ar -ts - -VERNUM = diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.rtc b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.rtc deleted file mode 100644 index a5626c2..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Makefile.rtc +++ /dev/null @@ -1,33 +0,0 @@ - -# Which compiler to use -CC = mpicc - - -# What optimization level to use -OPTFLAGS = -g - -# Include directories for the compiler -INCDIR = -# -I/opt/local/include -I/usr/include/malloc - -# What options to be used by the compiler -COPTIONS = - -# Which loader to use -LD = mpicc - -# In which directories to look for any additional libraries -LIBDIR = -L/opt/local/lib -L/usr/lib - -# What additional libraries to link the programs with (eg., -lmpi) -#XTRALIBS = -lefence -#XTRALIBS = -ldmalloc - -# What archiving to use -AR = ar rv - -# What to use for indexing the archive -#RANLIB = ranlib -RANLIB = ar -ts - -VERNUM = diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Manual/manual.pdf b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Manual/manual.pdf Binary files differdeleted file mode 100644 index 737e641..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Manual/manual.pdf +++ /dev/null diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Manual/manual.ps b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Manual/manual.ps deleted file mode 100644 index bfe57d8..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Manual/manual.ps +++ /dev/null @@ -1,6812 +0,0 @@ -%!PS-Adobe-2.0 -%%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software -%%Title: manual.dvi -%%Pages: 29 -%%PageOrder: Ascend -%%BoundingBox: 0 0 612 792 -%%DocumentFonts: Helvetica-Bold MTSYN AvantGarde-Demi Helvetica -%%+ Times-Roman Times-Bold RMTMI Times-Italic Helvetica-Narrow-Bold -%%+ Helvetica-Narrow Times-BoldItalic Courier MTEX -%%EndComments -%DVIPSWebPage: (www.radicaleye.com) -%DVIPSCommandLine: dvips -o manual.ps manual -%DVIPSParameters: dpi=1200, compressed -%DVIPSSource: TeX output 2003.08.15:1401 -%%BeginProcSet: texc.pro -%! -/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S -N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 -mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 -0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ -landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize -mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ -matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round -exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ -statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] -N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin -/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array -/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 -array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N -df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A -definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get -}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} -B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr -1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 -1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx -0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx -sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ -rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp -gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B -/chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ -/cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ -A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy -get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} -ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp -fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 -{2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add -chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ -1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} -forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn -/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put -}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ -bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A -mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ -SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ -userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X -1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 -index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N -/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ -/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) -(LaserWriter 16/600)]{A length product length le{A length product exch 0 -exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse -end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask -grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} -imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round -exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto -fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p -delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} -B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ -p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S -rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end - -%%EndProcSet -%%BeginProcSet: psfrag.pro -%% -%% This is file `psfrag.pro', -%% generated with the docstrip utility. -%% -%% The original source files were: -%% -%% psfrag.dtx (with options: `filepro') -%% -%% Copyright (c) 1996 Craig Barratt, Michael C. Grant, and David Carlisle. -%% All rights reserved. -%% -%% This file is part of the PSfrag package. -%% -userdict begin -/PSfragLib 90 dict def -/PSfragDict 6 dict def -/PSfrag { PSfragLib begin load exec end } bind def -end -PSfragLib begin -/RO /readonly load def -/CP /currentpoint load def -/CM /currentmatrix load def -/B { bind RO def } bind def -/X { exch def } B -/MD { { X } forall } B -/OE { end exec PSfragLib begin } B -/S false def -/tstr 8 string def -/islev2 { languagelevel } stopped { false } { 2 ge } ifelse def -[ /sM /tM /srcM /dstM /dM /idM /srcFM /dstFM ] { matrix def } forall -sM currentmatrix RO pop -dM defaultmatrix RO idM invertmatrix RO pop -srcFM identmatrix pop -/Hide { gsave { CP } stopped not newpath clip { moveto } if } B -/Unhide { { CP } stopped not grestore { moveto } if } B -/setrepl islev2 {{ /glob currentglobal def true setglobal array astore - globaldict exch /PSfrags exch put glob setglobal }} - {{ array astore /PSfrags X }} ifelse B -/getrepl islev2 {{ globaldict /PSfrags get aload length }} - {{ PSfrags aload length }} ifelse B -/convert { - /src X src length string - /c 0 def src length { - dup c src c get dup 32 lt { pop 32 } if put /c c 1 add def - } repeat -} B -/Begin { - /saver save def - srcFM exch 3 exch put - 0 ne /debugMode X 0 setrepl - dup /S exch dict def { S 3 1 roll exch convert exch put } repeat - srcM CM dup invertmatrix pop - mark { currentdict { end } stopped { pop exit } if } loop - PSfragDict counttomark { begin } repeat pop -} B -/End { - mark { currentdict end dup PSfragDict eq { pop exit } if } loop - counttomark { begin } repeat pop - getrepl saver restore - 7 idiv dup /S exch dict def { - 6 array astore /mtrx X tstr cvs /K X - S K [ S K known { S K get aload pop } if mtrx ] put - } repeat -} B -/Place { - tstr cvs /K X - S K known { - bind /proc X tM CM pop - CP /cY X /cX X - 0 0 transform idtransform neg /aY X neg /aX X - S K get dup length /maxiter X - /iter 1 def { - iter maxiter ne { /saver save def } if - tM setmatrix aX aY translate - [ exch aload pop idtransform ] concat - cX neg cY neg translate cX cY moveto - /proc load OE - iter maxiter ne { saver restore /iter iter 1 add def } if - } forall - /noXY { CP /cY X /cX X } stopped def - tM setmatrix noXY { newpath } { cX cY moveto } ifelse - } { - Hide OE Unhide - } ifelse -} B -/normalize { - 2 index dup mul 2 index dup mul add sqrt div - dup 4 -1 roll exch mul 3 1 roll mul -} B -/replace { - aload pop MD - CP /bY X /lX X gsave sM setmatrix - str stringwidth abs exch abs add dup 0 eq - { pop } { 360 exch div dup scale } ifelse - lX neg bY neg translate newpath lX bY moveto - str { /ch X ( ) dup 0 ch put false charpath ch Kproc } forall - flattenpath pathbbox [ /uY /uX /lY /lX ] MD - CP grestore moveto - currentfont /FontMatrix get dstFM copy dup - 0 get 0 lt { uX lX /uX X /lX X } if - 3 get 0 lt { uY lY /uY X /lY X } if - /cX uX lX add 0.5 mul def - /cY uY lY add 0.5 mul def - debugMode { gsave 0 setgray 1 setlinewidth - lX lY moveto lX uY lineto uX uY lineto uX lY lineto closepath - lX bY moveto uX bY lineto lX cY moveto uX cY lineto - cX lY moveto cX uY lineto stroke - grestore } if - dstFM dup invertmatrix dstM CM srcM - 2 { dstM concatmatrix } repeat pop - getrepl /temp X - S str convert get { - aload pop [ /rot /scl /loc /K ] MD - /aX cX def /aY cY def - loc { - dup 66 eq { /aY bY def } { % B - dup 98 eq { /aY lY def } { % b - dup 108 eq { /aX lX def } { % l - dup 114 eq { /aX uX def } { % r - dup 116 eq { /aY uY def } % t - if } ifelse } ifelse } ifelse } ifelse pop - } forall - K srcFM rot tM rotate dstM - 2 { tM concatmatrix } repeat aload pop pop pop - 2 { scl normalize 4 2 roll } repeat - aX aY transform - /temp temp 7 add def - } forall - temp setrepl -} B -/Rif { - S 3 index convert known { pop replace } { exch pop OE } ifelse -} B -/XA { bind [ /Kproc /str } B /XC { ] 2 array astore def } B -/xs { pop } XA XC -/xks { /kern load OE } XA /kern XC -/xas { pop ax ay rmoveto } XA /ay /ax XC -/xws { c eq { cx cy rmoveto } if } XA /c /cy /cx XC -/xaws { ax ay rmoveto c eq { cx cy rmoveto } if } - XA /ay /ax /c /cy /cx XC -/raws { xaws { awidthshow } Rif } B -/rws { xws { widthshow } Rif } B -/rks { xks { kshow } Rif } B -/ras { xas { ashow } Rif } B -/rs { xs { show } Rif } B -/rrs { getrepl dup 2 add -1 roll //restore exec setrepl } B -PSfragDict begin -islev2 not { /restore { /rrs PSfrag } B } if -/show { /rs PSfrag } B -/kshow { /rks PSfrag } B -/ashow { /ras PSfrag } B -/widthshow { /rws PSfrag } B -/awidthshow { /raws PSfrag } B -end PSfragDict RO pop -end - -%%EndProcSet -%%BeginProcSet: 8r.enc -% @@psencodingfile@{ -% author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry", -% version = "0.6", -% date = "1 July 1998", -% filename = "8r.enc", -% email = "tex-fonts@@tug.org", -% docstring = "Encoding for TrueType or Type 1 fonts -% to be used with TeX." -% @} -% -% Idea is to have all the characters normally included in Type 1 fonts -% available for typesetting. This is effectively the characters in Adobe -% Standard Encoding + ISO Latin 1 + extra characters from Lucida. -% -% Character code assignments were made as follows: -% -% (1) the Windows ANSI characters are almost all in their Windows ANSI -% positions, because some Windows users cannot easily reencode the -% fonts, and it makes no difference on other systems. The only Windows -% ANSI characters not available are those that make no sense for -% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen -% (173). quotesingle and grave are moved just because it's such an -% irritation not having them in TeX positions. -% -% (2) Remaining characters are assigned arbitrarily to the lower part -% of the range, avoiding 0, 10 and 13 in case we meet dumb software. -% -% (3) Y&Y Lucida Bright includes some extra text characters; in the -% hopes that other PostScript fonts, perhaps created for public -% consumption, will include them, they are included starting at 0x12. -% -% (4) Remaining positions left undefined are for use in (hopefully) -% upward-compatible revisions, if someday more characters are generally -% available. -% -% (5) hyphen appears twice for compatibility with both -% ASCII and Windows. -% -/TeXBase1Encoding [ -% 0x00 (encoded characters from Adobe Standard not in Windows 3.1) - /.notdef /dotaccent /fi /fl - /fraction /hungarumlaut /Lslash /lslash - /ogonek /ring /.notdef - /breve /minus /.notdef -% These are the only two remaining unencoded characters, so may as -% well include them. - /Zcaron /zcaron -% 0x10 - /caron /dotlessi -% (unusual TeX characters available in, e.g., Lucida Bright) - /dotlessj /ff /ffi /ffl - /.notdef /.notdef /.notdef /.notdef - /.notdef /.notdef /.notdef /.notdef - % very contentious; it's so painful not having quoteleft and quoteright - % at 96 and 145 that we move the things normally found there to here. - /grave /quotesingle -% 0x20 (ASCII begins) - /space /exclam /quotedbl /numbersign - /dollar /percent /ampersand /quoteright - /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash -% 0x30 - /zero /one /two /three /four /five /six /seven - /eight /nine /colon /semicolon /less /equal /greater /question -% 0x40 - /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O -% 0x50 - /P /Q /R /S /T /U /V /W - /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore -% 0x60 - /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o -% 0x70 - /p /q /r /s /t /u /v /w - /x /y /z /braceleft /bar /braceright /asciitilde - /.notdef % rubout; ASCII ends -% 0x80 - /.notdef /.notdef /quotesinglbase /florin - /quotedblbase /ellipsis /dagger /daggerdbl - /circumflex /perthousand /Scaron /guilsinglleft - /OE /.notdef /.notdef /.notdef -% 0x90 - /.notdef /.notdef /.notdef /quotedblleft - /quotedblright /bullet /endash /emdash - /tilde /trademark /scaron /guilsinglright - /oe /.notdef /.notdef /Ydieresis -% 0xA0 - /.notdef % nobreakspace - /exclamdown /cent /sterling - /currency /yen /brokenbar /section - /dieresis /copyright /ordfeminine /guillemotleft - /logicalnot - /hyphen % Y&Y (also at 45); Windows' softhyphen - /registered - /macron -% 0xD0 - /degree /plusminus /twosuperior /threesuperior - /acute /mu /paragraph /periodcentered - /cedilla /onesuperior /ordmasculine /guillemotright - /onequarter /onehalf /threequarters /questiondown -% 0xC0 - /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla - /Egrave /Eacute /Ecircumflex /Edieresis - /Igrave /Iacute /Icircumflex /Idieresis -% 0xD0 - /Eth /Ntilde /Ograve /Oacute - /Ocircumflex /Otilde /Odieresis /multiply - /Oslash /Ugrave /Uacute /Ucircumflex - /Udieresis /Yacute /Thorn /germandbls -% 0xE0 - /agrave /aacute /acircumflex /atilde - /adieresis /aring /ae /ccedilla - /egrave /eacute /ecircumflex /edieresis - /igrave /iacute /icircumflex /idieresis -% 0xF0 - /eth /ntilde /ograve /oacute - /ocircumflex /otilde /odieresis /divide - /oslash /ugrave /uacute /ucircumflex - /udieresis /yacute /thorn /ydieresis -] def - -%%EndProcSet -%%BeginProcSet: texps.pro -%! -TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 -index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll -exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]/Metrics -exch def dict begin Encoding{exch dup type/integertype ne{pop pop 1 sub -dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def} -ifelse}forall Metrics/Metrics currentdict end def[2 index currentdict -end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{ -dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 -roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def -dup[exch{dup CharStrings exch known not{pop/.notdef/Encoding true def} -if}forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def} -def end - -%%EndProcSet -%%BeginProcSet: special.pro -%! -TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N -/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N -/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N -/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ -/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho -X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B -/@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ -/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known -{userdict/md get type/dicttype eq{userdict begin md length 10 add md -maxlength ge{/md md dup length 20 add dict copy def}if end md begin -/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S -atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ -itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll -transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll -curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf -pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} -if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 --1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 -get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip -yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub -neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ -noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop -90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get -neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr -1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr -2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 --1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S -TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ -Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale -}if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState -save N userdict maxlength dict begin/magscale true def normalscale -currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts -/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x -psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx -psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub -TR/showpage{}N/erasepage{}N/copypage{}N/p 3 def @MacSetUp}N/doclip{ -psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 -roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath -moveto}N/endTexFig{end psf$SavedState restore}N/@beginspecial{SDict -begin/SpecialSave save N gsave normalscale currentpoint TR -@SpecialDefaults count/ocount X/dcount countdictstack N}N/@setspecial{ -CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto -closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx -sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR -}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse -CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury -lineto closepath clip}if/showpage{}N/erasepage{}N/copypage{}N newpath}N -/@endspecial{count ocount sub{pop}repeat countdictstack dcount sub{end} -repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N -/@fedspecial{end}B/li{lineto}B/rl{rlineto}B/rc{rcurveto}B/np{/SaveX -currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY -moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X -/yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0 -1 startangle endangle arc savematrix setmatrix}N end - -%%EndProcSet -TeXDict begin @defspecial - - TeXDict begin /box{newpath 2 copy moveto 3 copy pop exch lineto 4 -copy pop pop lineto 4 copy exch pop exch pop lineto closepath } bind -def /min{ 2 copy gt { exch } if pop } bind def/max{ 2 copy lt { exch -} if pop } bind def/roundedbox{/radius exch store 3 2 roll 2 copy min -radius sub /miny exch store max radius add /maxy exch store 2 copy -min radius sub /minx exch store max radius add /maxx exch store newpath -minx radius add miny moveto maxx miny maxx maxy radius arcto maxx maxy -minx maxy radius arcto minx maxy minx miny radius arcto minx miny maxx -miny radius arcto 16 {pop} repeat closepath }bind def /rectcartouche{box -gsave .95 setgray fill grestore 1 setlinewidth stroke }bind def /cartouche{roundedbox -gsave .95 setgray fill grestore 1 setlinewidth stroke }bind def end - -@fedspecial end -%%BeginFont: RMTMI -%!PS-AdobeFont-1.1: RMTMI 1.1 -%%CreationDate: 1993 May 10 16:52:31 - -% Copyright (c) 1992, 1993 The TeXplorators Corporation -% Hinting Copyright (c) 1992, 1993 Y&Y, Inc. - -11 dict begin -/FontInfo 9 dict dup begin -/version (1.1) readonly def -/Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation) readonly def -/FullName (RMTMI) readonly def -/FamilyName (MathTime) readonly def -/Weight (Medium) readonly def -/ItalicAngle -14.036 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -end readonly def -/FontName /RMTMI def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 46 /parenleft put -dup 47 /parenright put -dup 58 /period put -dup 59 /comma put -dup 61 /slash put -dup 118 /v put -readonly def -/FontBBox{0 -213 987 680}readonly def -/UniqueXX 5018946 def -currentdict end -currentfile eexec -80347982ab3942d930e069a70d0d48311d70c1e2528f01045f8caec9829f31d6 -48c8d0a29ea851af41c327a0d569abaafe5afe94dad818c312d3cee72f1acea0 -b701b6a5608521a2866790bdd5776d6cd0c7d971b9a48b96aa970dcbb8b76edc -b90da356dc2529b665eb4bb80ac4f5b0f4c0ed76861e399638ad3db1be4759c7 -8d4f2e81a2ff688d366b91d729d63ab5fc9556fe10a07b81904d879a7446da82 -dc107ff41b0e3b7c2245d57b2ee9bab31eccfe9b79e3ec32cb1f10c622f4bce1 -8df0e5c4b98ec714593d6f127c5cf6d719a79b83c627433d3aa39cb88ef85d27 -4184c4b4c46ca5b496f20460ed75ccfb3d66073b710cc1ad2f2bec4ac64065ed -5e03930ed9ec97810f36845dd5048d90d724a88fd3c814ce17c417c84ba45c43 -f5569a4d73739f71544ed91c657705e131f4d0c61752509fbe0212bde9c02a83 -3910dff28f7c53f64b032c8e3cd2ba95c22177c3e0532f8699d106f119b80549 -c45726d793b9aec38ff4c3120c259083fd13c644dea026e1e7c75dea2ec23419 -83aff4d712c27c024393022797db1500c6543d620f20c9ce973ef7d917e7fb3e -6cfee0999e06c9dfff2d01bac5b3be0c47b2d5abc02e1f0f383588f430fa64bf -d5250e56da323c91f033c8f0f4e0f9cbb36eb8d4d25b127fda1bb032a7088cf6 -fb34b617290de038198297f2af323602e5e96d475e4678e129d88aa15d5ad9cb -58e244028cd8d9a8210fb1aecfc3f29299986c1df1cb3ffa0fc203626e8e2f6f -3a6ab198963acb2b528d6bc06687d59efddb9c88535c1c69da5d81812b911c5e -f9985179796d2b2e4e92beec47a4075e306c8d26431d8e0732768dff70ef2270 -d1fddddd4cca0f209ad05c9af2f26da7ca0acccdac0ea4f479b548c741193594 -d515f614bda3f394c77bd7296981ac947ca0d6d6ccafd9a05547b28f0ce449ff -bde2744249af134a1d3629edfec122c615e4a74067a7f8358519bfac0f31d1a4 -6d260a3db271750d02cd6a12d019ab6c1c2f9955ca205f12d8a03de3203bb5eb -869ed8b66b53d1c29eaa26b4d20f9460891b018031bf81eba788b77ccccc5ff9 -9acb5b025a4dcbafafc1b34bb2adbd17cdd741da586af1b784cf74cf88603b20 -d68afab47d21c1a0c6bee297777db1a8231237a40ec89aa97ce1c848c9da6804 -d3b98c11590b239616e0e6d668fc5b987075d77769eaf4877f1a359217b40731 -293574eae905bd7a5c46719ec7f8a97fac1c46dcd76b0344e8378fd61d02c990 -5b194613df280648e2f86ef15a2dd8e6bec1cac0d90b8302b2846127b2d50d8f -fb7d210c7826fde88f2d165fa6afd755db04910140e070126a663f3d57ea417e -d6d2128bf21a7cc2911f8bf0f2668eadbe8e042a1cdcea38c5c9a71226f6f4ed -bc85ddf8c25d80933a42f5f303e5495c247e973df20e2195b07b60657205de14 -9d86dbd56bb2594fea81688f21573a8210f6fbf48c82425bf58215b3d91d3255 -012f7b2bc17357bfb35cd40b0c1d5536cde7bd0b29dea7674b32bc83cb453bbf -76807cf4a5aeece57fae3d291ae50098b85e357e9606694fcfe15cc48406012b -f12efcea89892d1811b5ef93abad0e929160090fad55766535e605ecb8381777 -df5a2ac4a3e332a7e1b7ab9713a37619293bc7c8a69652ec4be93c6f786fab81 -e636cd8ad1959c266cb622f998c5c8762159cb792e123cb46042a84709054f39 -d5251483de5735331ab02cc31ad384dec4176d48661db17d104c4956474dce80 -2519c973688aa6609a0fcb3128bb928cb1e676def0e4ec52eb0ee05d55e6afa7 -fd22c8f9537de1f8f5fe275f190890ed4ee638b479a8727024d414971b191636 -744ae3a5022bca7b6b8f475aff1e4bb03ee9dbfefdd88aa2cad0d10339a42f6a -342fafa530f9707e723f7a2c90667b94f9764bf334eb294b35e3eef1c8410a28 -7e9cadcd03f3488f317d700b53c348e012ef4d3431b125aea4c7f00f79a3bd4a -d0edd781418b51543364a9e8b40a32b4554ddc0a7f2e1a48a682be1b990d6224 -651dd3dbdeede0555bf6cb4685bcb3b54b22f1d2f27d577f29188d708889f5cb -c45cab82180f3d7ff3a1fda6cd9776d22155e43a43c708cbd680a8e3880d74c1 -bf8db0b07dc626d744fd8b37050ee64faedb57746913c896e0abf7eadaf2c118 -bc1ee6cb292b41b403c365f6658d64c60e3494ab2ba9060425a72d27ca1fea5d -0fb89027036e31dfa311549ccfa914b87ebfea444a601d29276f6752eef4766a -4cf3bc60ccc488e457eb6cc458cde216dc0901e7ea735d9e57a83981fe52da47 -c17d764379cf63998c9ee47a80a87c9179a0238ad6ccb7521ab06487c7985f15 -70f2594db6b852d1ae2960f8d527b1e2f8f1bf54e9014712ad114db6c7844412 -823a8c57fa38ddcd8c6e34db04ded337c9b962ee864e2610ba2ee6fe644d239b -8e94fbc188cd16db10e20a9e93250acbec7756826ac93ff1df9308efd8507f05 -33327021fb1ef1ad82d501080e4f16b75c9b0d7d15cf75e51feb9ecd4a475e56 -51aa688761ace098dfcf96d604030f3428080cfa1efb5fcc97c750ebbe4ceeaf -969b0795eaff4e620dfb144780245a9fa0651eaf137f463bbbdd94fe0dcb754b -7d608d2ad9a92f329fb371ec0804de94c5d92e785a060c719d327a49b6210182 -2dad060c64e48259de0bbb77c269de5715ce9d8d85c6b6c1992f9a008b9c6012 -5f001f20735fa9d9343bc20b03fafb2a08e28d989df8f657071a81c14ffeb49c -dad0b4ddc301c096327836fb58ee41c0ad61e8aad9e0a6658f7f813de254e929 -4d0db0e46c07f6e9fbe9db98d48fdcc6e9c1c32dc043d28239e5b6f2ccff9cde -ec04dadcba1836fbe06cf3a1ba39504ece115764f78d0b8f812b9c0d03e4a2ea -663a4fd20ccc1c4c5465a76889eb987932462cf8cbff87ecc1c3004774f89f9f -f71e895d01a73866b9ae3d0d05776a488bd12a01c5f4c7813fceb413d1ba5f63 -26dc2121cd2fac85ffc91507 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -cleartomark - -%%EndFont -%%BeginFont: MTEX -%!PS-AdobeFont-1.1: MTEX 1.1 -%%CreationDate: 1993 Jun 26 10:30:36 - -% Copyright (c) 1992, 1993 The TeXplorators Corporation -% Hinting Copyright (c) 1992, 1993 Y&Y, Inc. - -11 dict begin -/FontInfo 9 dict dup begin -/version (1.1) readonly def -/Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation) readonly def -/FullName (MTEX) readonly def -/FamilyName (MathTime) readonly def -/Weight (Medium) readonly def -/ItalicAngle 0 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -end readonly def -/FontName /MTEX def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 80 /summationtext put -readonly def -/FontBBox{-23 -2958 1456 766}readonly def -/UniqueXX 5018948 def -currentdict end -currentfile eexec -80347982ab3942d930e069a70d0d48311d70c1e2528f01045f8caec9829f31d6 -48c8d0a29ea851af41c327a0d569abaafe5afe94dad818c312d3cee72f1acea0 -b701b6a5608521a2866790bdd5776d6cd0c7d971b9a48b96aa970dcbb8b76edc -b90da356dc2529b665eb4bb80ac4f5b0f4c0ed76861e399638ad3db1be4759c7 -8d4f2e81a2ff688d366b91d729d63ab5fc9556fe10a07b81904d879a7446da82 -dc107ff41b0e3b7c2245d57b2ee9bab31eccfe9b79e3ec32cb1f10c622f4bce1 -8df0e5c4b98ec714593d6f127c5cf6d719a79b83c627433d3aa39cb88ef85d27 -4184c4b4c46ca5b496f20460ed75ccfb3d66073b710cc1ad2f2bec4ac64065ed -5e03930ed9ec97810f36845dd5048d90d724a88fd3c814ce17c417c84ba45c43 -f5569a4d73739f71544ed91c657705e131f4d0c61752509fbe0212bde9c02a83 -3910dff28f7c53f64b032c8e3cd2ba95c22177c3e0532f8699d106f119b80549 -c45726d793b9aec38ff4c3120c259083fd13c644dea026e1e7c75dea2ec23419 -83aff4d712c27c024393022797db1500c6543d620f20c9ce973ef7d917e7fb3e -6cfee0999e06c9dfff2d01bac5b3be0c47b2d5abc02e1f0f383588f430fa64bf -d5250e56da323c91f033c8f0f4e0f9cbb36eb8d4d25b127fda1bb032a7088cf6 -fb34b617290de038198297f2af323602e5e96d475e4678e129d88aa15d5ad9cb -58e244028cd8d9a8210fb1aecfc3f29299986c1df1cb3ffa0fc203626e8e2f6f -3a6ab198963acb2b528d6bc06687d59efddb9c88535c1c69da5d81812b911c5e -f9985179796d2b2e4e92beec47a4075e306c8d26431d8e0732768dff70ef2270 -d1fddddd4cca0f209ad05c9af2f26da7ca0accc0349d554800072fe70fe3f12f -846085405a3e13764f457e887846db5eca49493fb685acac9e0d4c5ca63c7b16 -408cb7eb5decb4429557acbe97a89d9360f0d29566678e6c2e3569923451905d -8951f729d6e4e166c0150cfade571c25f92820fc6fb202f2d010bdb81e8baa62 -32cd15f94af4804b08cddbc782c1295ed9d18025f1c453a678f58a7e1b7bcfba -4400dda52bd25ccaef380af4b5003dcc06f75960ac763ec42a6ef95eaf46f77b -3aa68bbc3c182d192d602a713f8082af7e531b1282e701d3a39904e4802c94b6 -df379cc5faf66b0fbc4e279ebe2154c755887098745ea0303640d9ecd80ad923 -deda40cca8136f760a6e4eaa342751fef587651a7c6394ed4fe12a07e33fcdc6 -15954ab2599f9a75ccf54e560b978add203d169ad883c855f40ec67c410bf468 -e7ad9a8fe58c601bf464797f492cb9354c0a21deb7e6e0b951770086d598fbd0 -138393a017903ac875192d5da1d671e70f91c6cd9722d168eebb3cffb58e5637 -3712ae6823a0b39fe863ce84e8a867c5d1f5611aefdf25d31c9896dcf5e320b0 -875dd95c3a3f8ba7a6331558180e833af7c1625d0a0efd6266b95ba0a2dc769e -694d43ab27088f81e8a7f25a9207efd5ab98f0390b28d219ac289fa217fa1e67 -d801778da34b6ca048034a044e83294061d64a98e7b5989ea55d9e4b046545c8 -41452c7e8f23ed381387e1ea4e2912922c12ecf8c2822605c9934c37fde6571c -287ae7d66b15afcac9e8a6b39c7b78c44630a58a2c75b90dda031bd6c638f8f2 -b8dfeb6d907570f17c05639011861348bfa5be91bf88b7f55b076e7b13da36d6 -edf2380bc2f78c7d0448611c015f938c51f03e600baf9474b670cc6dd9efe445 -69f2a13ce298af63e248e04bcf843a499cf72865e8e459c55ce949ba387e3931 -17ea030b510ae3abe57838cfd9280d2d51beaf22b4de8bc15d9d8715a0cf9c23 -cbb480ed646f36ffa612a82ad4ea8df8907af82d8d2a8e807dca8291b4c896b6 -929f19e14ef43c78734d823bdc212f879780e62b11b95205c8f19de83b297873 -7d0d7144430ebf265c93c7120ff9a762c2eec171a7ee5e3e19e82d43f9285a2c -4e51e2ed1ec7acb28fa010b27024cbf80c010d1ddcd9942413e033be71494e72 -67f05602dc769a9027fad4b026bf3d92f9fcf25c63ed663d7143a0c371376523 -6a919f21397e9b2e8bf7521e43683a15a1d942fb4d36d07e733db38079cd156d -e644c93c6628a5cbcab46d0a645484bf21aaf042be5f5b8e7e8294597bc5ab29 -478f4b931f7211 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -cleartomark - -%%EndFont -%%BeginFont: MTSYN -%!PS-AdobeFont-1.1: MTSYN 1.000 -%%CreationDate: 1996 Aug 26 20:27:17 - -% MathTime fonts were designed by Michael Spivak. -% Copyright (c) 1996 Publish or Perish, Inc. -% Hinting Copyright (c) 1996 Y&Y, Inc. -% MathTime is a registered trademark of Publish or Perish, Inc. - -11 dict begin -/FontInfo 9 dict dup begin -/version (1.000) readonly def -/Notice (Copyright (c) 1992-1996 Publish or Perish and Y&Y, Inc.) readonly def -/FullName (MTSYN) readonly def -/FamilyName (MathTime) readonly def -/Weight (Medium) readonly def -/ItalicAngle 0 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -end readonly def -/FontName /MTSYN def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 0 /minus put -dup 2 /multiply put -dup 3 /asteriskmath put -dup 15 /bullet put -dup 67 /plus put -dup 68 /equal put -dup 102 /braceleft put -dup 103 /braceright put -readonly def -/FontBBox{0 -954 1043 900}readonly def -/UniqueID 5087393 def -currentdict end -currentfile eexec -80347982ab3942d930e069a70d0d48311e252234d51741e18db3a68e8ad10242 -29e5817a10e796a78d2c7f7c1f50961b9a57aa604c9f821dbf5a9295197bc666 -31678d7d2c7e1f8f2151ce0c29efce46270570f4301c5dad1b38884732e53dad -05dfc36b020e726ca575f71f04abf2b49e1f1d6d2a08a477658ca9a48f1c8cce -14382f0a42201de56e2821ee2b0e91a818b1b753d810ec2428dae5153b66af66 -a6cbcba4db2bf926e909644db41326e327493b2750168d128a100fe56c76b17c -16f9ce939588d19c6e9cda7cb062196e66e38e537670953934ffc63663c7146a -12277d8f7c13b563981d696e0abe4478eabeba753024ebdf3ee17f2613df08c9 -228159906a48ddeed6212332ef96023e5c73ea55aac6a2b938138ec26b4732c1 -1e8fed889257e9d4f2002935585d9aa2265929948e37bab7adf12f1a22b3c68d -09a6b6c4e14b1470ecf0874d92d964cfbb8e2a0e4cbd1a114cc05bbdee4699a5 -76ab8c0bd8499b166e9e60b21f45561279f6474bb497e3d55dd09a26264ffa6e -8d9f228e894c456756d321bb5d5932c5bbcd39eb95f5b7d4dc2da25d6773ea6b -f8b758972bef890ed520777e90b017bb4f0f1a7076da33c972773e8ecfdf76b3 -47fe529109a1ea0d91b80161c32e4dfb08ef07f23680182631baf1bea4a5b9e5 -05311402d9263290e3cf4409b44edfe28038a0f2101424a9aa4ce83a902faaa4 -ee6da88833898cd9efb74a321458332cc9a62c93501cd1eb799c6da44f94c61a -da58024d0ced31cd07ba36a70d986aaad1d3b9c04d6acba7ecae982a8712ba24 -b26bc4bf9b042c6fcc9bf7d3404804e72d2b93fd4f56771495070aa0fd181c35 -cc11cf251be8dea12600643f2b79d09aa1bcf2636f70edf1f7e0e434df83b888 -598ece0100492a48645305b4bb8bf16cc994abdaf88ee7ca62fa459e42158053 -1f5bdfd3bd83467260f184afa17abff39208581863acd6632867c05ec9c11a91 -0e396f09359713c5b37ae855d3a2ff8657fb89cad579eb1baa0979eb227202e4 -4306b7c89d6b32c41795f994b293a6baf7df640c3f68cba7674e695121892c8d -f86d2c12158d6628ba8643af6c51d423799d274aa5cbefb8ead46fe7e2ae9971 -84e8e036793b47aae8a8bfe6fe656b789c232f3761e296dcda097e85b8a63a6e -bb0c07a4c86cd4bdebb8cd50299e1efa106ecfbf361f5787095aaf4bfec3b442 -d91941d799c1260629f7829354981d7c999bb9277533e8f949735eb63c17c620 -64c68743ffb4b7708b0e58fd575a2e0331624bc5867a495f88565ba4779c38ad -cb9e7d8b66d67ba91b48fea71a1ea1ab965a807bf793faddf073934a5a2886db -c9b8d3f807568cb2261038afb4a639b960ae3c2248eb17dace94c4c2460c70b2 -113fdeb93813a5e7ffc9c5808a3d5b381a890a7246f2dd5848357f12e9bee65f -6b7f68055190810b5dcabff800f13ba97650e9100a69f6a40c7b4385e627952d -82eebbbf053d5c0dd068212fc546d222bc888e7b2e6af864d71b3b6bd0d3b0f6 -ff7c72a08fe798e85f5c83f372b14fc206b7d0b67e50d1bd7257ce74872d7736 -79a0237c84f1520102efce483eceb4e8414ef2e50c30e76166166dfc0eec9dbf -f02764d84eaf448d955eabbbae38aa9569ce31e7660e663582d8f6a50afa2c83 -d6ba455efcb9a13945f0ee5ad9bb00381d666e201d9cbf7b90b006d94251a6a8 -2bf32f07415b2919aaa4b9b043842edee3f8322e5d7c3c3ec226398c53e10012 -ee7cdb28b2599a431e7e412630623b8cf22b1e2bb64bd233f675659d35011002 -5b9e1045711592076917e961fce901770dbe0913422334487b11b41e2a4f44a9 -8a80b0177903da131592075162e55d83f841562737e4aacb808c009d4cc20761 -6512621af048858cf8f18b307709712964702144eb218aae8cececc161507a0e -754694dd18367bcc2a3de7581683ab19b9c5a187b9101df51a51df5167a68a31 -f3924bf4ce4d6d2941c84b052a11f7bbb27e6a3c6d8ef978e97c27b085d31a43 -f25e3a768fdaeb8b9a247752dde160c41225db9d487a67b3ddc5d518bdea3052 -5a2f648107f1d3da192ebd26834b5920afe148b8f9fd944e4fd65e5d9ab42e51 -b381feebd3f2a56bc465f801656ae6aaa83df9c9f63bfa89bd7469cdd230fb76 -5090e7d39a462d87b970c7fd1ea098061e3ae156808dec95657b1a8adbeb1eb0 -ed6d2bcefecd4382c64c6a275e962aa83c47b9aab2b832716e713848dcb6ba57 -66cf434bacce548d8eeb33504ec27f1c12af40cd15c28aa0a3396079780e25c4 -9b3cbdaf7d26a03e98d57cf2709e723357ad48df971b28467f77d18d0485e080 -3484a2d94efc2d44aef79dc0b4f944a8d1fc46ee9a07b63c908c36032b3dba0f -07f43333a5584c7132c1c3b739a2b322bbc58b80d9d1297ec5bf8a49bc421b10 -08adf2333646679f1249ea53ece33640033ebe6ed8842d12af51970a6799eb85 -a9bca6b6ff7b31deedc76f03acbf32ca50cb4c29c7437f1d3be13fdb22d7488d -38c025fddc4d33c69b424c9ac2f6852b488371dd39077b8a87e48b51ccc6f03b -eaa95d98baf8e17c38b50a39a47bb07c34876f7c0e2b41afb5f72e3cbce5c87b -3a5bf1b6a5a1c39aca22a96083e7b4d3e8b6c4a39ed923d0c376af7f339d77a3 -e59d45abf26603b95a4fb28612e6a0e5402e08841c7c88ab0df226e5fd93a39d -907aaa96b050ff1e8956ba461c59ab98d95ca6c9ebe9936dfdc84b4d1473945d -8e3f89 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -0000000000000000000000000000000000000000000000000000000000000000 -cleartomark - -%%EndFont -TeXDict begin 40258431 52099146 1000 1200 1200 (manual.dvi) -@start /Fa 171[91 100 5[124 77[{TeXBase1Encoding ReEncodeFont}3 -149.44 /Helvetica rf /Fb 182[33 3[80 69[{TeXBase1Encoding ReEncodeFont} -2 119.552 /Helvetica rf /Fc 143[75 4[66 2[75 104[{}3 -149.44 /Times-Italic rf /Fe 134[66 1[100 66 75 42 58 -58 1[75 75 75 108 42 2[42 75 75 42 66 75 66 75 75 50 -11[83 75 91 1[91 1[100 124 2[66 50 108 2[91 108 100 91 -91 7[75 75 75 4[75 75 75 1[37 50 5[50 36[75 2[{ -TeXBase1Encoding ReEncodeFont}46 149.44 /Times-Italic -rf /Ff 105[75 28[75 75 108 75 75 42 58 50 75 75 75 75 -116 42 75 42 42 75 75 50 66 75 66 75 66 3[50 1[50 1[108 -1[141 108 108 91 83 100 1[83 108 108 133 91 108 58 50 -108 108 83 91 108 100 100 108 6[42 75 75 75 75 75 75 -75 75 75 75 1[37 50 37 2[50 50 37[83 2[{TeXBase1Encoding ReEncodeFont} -68 149.44 /Times-Roman rf /Fg 175[174 80[{}1 166.044 -/MTEX rf /Fh 150[35 105[{}1 126.194 /Times-Italic rf -/Fj 133[100 100 100 100 100 1[100 100 100 1[100 100 100 -100 100 1[100 100 100 100 100 100 100 100 100 100 3[100 -1[100 3[100 1[100 100 100 100 1[100 100 100 100 100 2[100 -1[100 1[100 100 100 1[100 13[100 100 100 2[100 100 1[100 -100 42[{TeXBase1Encoding ReEncodeFont}48 166.044 /Courier -rf /Fk 137[74 92 46 65 65 1[83 83 92 129 3[46 92 83 55 -74 83 74 1[83 12[101 1[111 8[65 2[111 70[{TeXBase1Encoding ReEncodeFont} -21 166.044 /Times-BoldItalic rf /Fl 150[31 105[{}1 112.91 -/Times-Italic rf /Fn 143[66 1[66 2[59 35[96 71[{}4 132.835 -/Times-Italic rf /Fo 194[62 61[{}1 132.835 /RMTMI rf -/Fp 138[66 37 52 52 1[66 66 66 4[37 66 66 2[66 1[66 66 -97[{TeXBase1Encoding ReEncodeFont}13 132.835 /Times-Italic -rf /Fq 203[56 56 56 56 56 48[{TeXBase1Encoding ReEncodeFont}5 -112.91 /Times-Roman rf /Fr 203[63 63 63 63 49[{ -TeXBase1Encoding ReEncodeFont}4 126.194 /Times-Roman -rf /Fs 134[74 74 111 74 83 46 65 65 1[83 83 83 120 46 -1[46 46 83 83 1[74 83 74 83 83 3[65 1[65 26[153 2[112 -11[83 83 1[42 55 41[83 3[{TeXBase1Encoding ReEncodeFont}31 -166.044 /Times-Italic rf /Ft 134[111 111 1[111 122 66 -111 78 1[122 122 122 177 55 2[55 122 122 66 111 122 111 -122 111 10[133 144 122 1[144 1[133 155 144 166 3[55 144 -155 122 1[144 144 1[144 9[111 111 111 111 111 111 111 -2[55 66 42[122 2[{TeXBase1Encoding ReEncodeFont}46 199.253 -/Helvetica-Bold rf /Fu 173[134 8[52 3[124 3[134 65[{ -TeXBase1Encoding ReEncodeFont}4 185.969 /Helvetica-Bold -rf /Fv 133[54 54 54 79 54 61 30 54 36 1[61 61 61 91 24 -54 24 24 61 61 30 61 61 54 61 61 12[67 1[79 8[30 2[67 -73 79 2[73 13[61 4[30 36 30 2[36 36 37[54 2[{ -TeXBase1Encoding ReEncodeFont}39 132.835 /Helvetica-Narrow -rf /Fw 134[68 68 98 68 76 38 68 45 1[76 76 76 113 30 -2[30 76 76 38 76 76 68 76 76 1[76 8[91 98 83 91 2[91 -1[98 113 76 2[38 3[91 98 98 1[91 13[76 4[38 45 38 41[68 -2[{TeXBase1Encoding ReEncodeFont}41 166.044 /Helvetica-Narrow -rf /Fx 138[83 2[53 5[38 2[38 1[83 1[76 2[83 76 12[83 -13[83 15[76 76 76 76 76 76 49[{TeXBase1Encoding ReEncodeFont}16 -166.044 /Helvetica-Narrow-Bold rf /Fy 138[83 4[83 1[83 -120 1[74 46 46 1[83 2[83 74 18[101 80[{}11 166.044 /Times-Italic -rf /Fz 137[81 56[78 1[55 46 10[62 62 46[{}6 166.044 /RMTMI -rf /FA 134[83 1[120 83 92 46 83 55 1[92 92 92 138 37 -2[37 92 1[46 92 92 2[92 10[111 1[101 111 120 1[111 1[120 -138 92 111 1[46 1[129 1[111 120 2[111 13[92 92 47[83 -2[{TeXBase1Encoding ReEncodeFont}35 166.044 /Helvetica -rf /FB 134[92 1[129 92 101 55 92 65 1[101 101 101 148 -46 2[46 101 101 55 92 101 92 101 92 10[111 1[101 111 -120 1[111 1[120 138 1[120 1[46 1[129 101 111 120 120 -1[120 13[92 92 47[101 2[{TeXBase1Encoding ReEncodeFont}39 -166.044 /Helvetica-Bold rf /FC 173[96 8[37 3[89 3[96 -65[{TeXBase1Encoding ReEncodeFont}4 132.835 /Helvetica-Bold -rf /FD 133[74 83 83 120 83 92 55 65 74 92 92 83 92 138 -46 1[55 46 92 83 55 74 92 74 92 83 9[166 120 120 111 -92 120 2[129 120 4[65 129 1[101 2[120 1[120 7[83 2[83 -83 83 83 83 83 4[42 5[138 34[92 3[{TeXBase1Encoding ReEncodeFont}48 -166.044 /Times-Bold rf /FE 134[129 1[181 1[142 77 129 -90 142 142 142 142 207 65 2[65 142 142 77 129 142 129 -142 129 9[219 155 168 142 155 168 1[155 181 168 194 3[65 -168 1[142 2[168 1[168 10[129 129 129 129 129 129 4[65 -5[168 38[{TeXBase1Encoding ReEncodeFont}44 232.462 /Helvetica-Bold -rf /FF 134[66 66 96 66 66 37 52 44 66 66 66 66 103 37 -66 37 37 66 66 44 59 66 59 66 59 3[44 1[44 5[96 81 4[96 -96 118 3[44 96 1[74 4[96 10[66 2[66 1[66 2[33 44 33 2[44 -44 37[74 2[{TeXBase1Encoding ReEncodeFont}45 132.835 -/Times-Roman rf /FG 134[66 1[96 2[37 1[44 2[74 1[111 -7[74 3[74 10[89 1[81 89 96 1[89 2[111 1[89 1[37 1[103 -1[89 3[89 13[74 51[{TeXBase1Encoding ReEncodeFont}20 -132.835 /Helvetica rf /FH 173[77 8[30 3[71 3[71 65[{ -TeXBase1Encoding ReEncodeFont}4 106.268 /Helvetica rf -/FI 188[88 63[59 3[{}2 112.91 /MTSYN rf /FJ 134[100 2[100 -100 55 78 66 1[100 100 100 155 55 2[55 100 100 66 88 -100 88 1[88 11[144 1[111 133 1[111 1[144 177 4[144 2[122 -144 133 1[144 11[100 100 100 100 100 100 3[50 44[{ -TeXBase1Encoding ReEncodeFont}37 199.253 /Times-Roman -rf /FK 133[74 83 83 120 83 83 46 65 55 83 83 83 83 129 -46 83 46 46 83 83 55 74 83 74 83 74 3[55 1[55 101 2[157 -120 120 101 92 111 1[92 120 120 148 101 120 1[55 120 -120 92 101 120 111 111 120 153 74 4[46 83 83 83 83 83 -83 83 83 83 83 46 42 55 42 1[83 55 55 55 1[138 3[55 29[92 -92 2[{TeXBase1Encoding ReEncodeFont}75 166.044 /Times-Roman -rf /FL 152[61 61 33[130 130 51[83 11[87 130 1[130{}8 -166.044 /MTSYN rf /FM 134[120 3[133 1[120 80 1[133 133 -133 199 53 120 1[53 133 133 1[133 133 120 1[133 10[159 -2[159 7[159 3[186 26[66 44[{TeXBase1Encoding ReEncodeFont}22 -239.103 /Helvetica rf /FN 140[105 77 2[153 143 4[57 3[153 -14[167 34[134 1[134 2[67 46[{TeXBase1Encoding ReEncodeFont}10 -239.103 /AvantGarde-Demi rf /FO 134[166 161 3[86 126 -92 1[189 184 172 1[69 2[69 172 189 1[184 189 1[189 189 -13[149 2[161 241 1[258 126 4[241 71[{TeXBase1Encoding ReEncodeFont}22 -286.924 /AvantGarde-Demi rf /FP 252[112 3[{}1 214.527 -/MTSYN rf /FQ 171[252 276 2[276 2[344 77[{TeXBase1Encoding ReEncodeFont} -4 413.118 /Helvetica-Bold rf /FR 173[239 8[92 3[220 3[239 -65[{TeXBase1Encoding ReEncodeFont}4 330.494 /Helvetica-Bold -rf end -%%EndProlog -%%BeginSetup -%%Feature: *Resolution 1200dpi -TeXDict begin - -%%EndSetup -%%Page: 1 1 -1 0 bop 3012 1064 a FQ(P)-17 b FR(A)20 b(R)g FQ(M)-21 -b FR(E)-83 b FQ(T)g FR(I)o FQ(S)4795 962 y FP(\003)147 -1411 y FO(P)-6 b(arallel)80 b(Gra)6 b(ph)81 b(P)-6 b(ar)6 -b(titioning)80 b(and)i(Spar)6 b(se)80 b(Ma)q(tr)6 b(ix)81 -b(Or)n(der)6 b(ing)3432 1758 y(Librar)11 b(y)3281 2105 -y FN(V)-24 b(er)5 b(sion)67 b(3.1)1322 2794 y FM(George)f(Kar)7 -b(ypis)l(,)67 b(Kir)t(k)e(Schloegel)i(and)f(Vipin)h(K)-7 -b(umar)2711 3129 y FL(f)p FK(karypis,)41 b(kirk,)g(kumar)p -FL(g)p FK(@cs.umn.edu)863 3457 y FJ(Uni)-5 b(v)m(ersity)50 -b(of)g(Minnesota,)g(Department)h(of)f(Computer)g(Science)h(and)f -(Engineering)2768 3712 y(Army)g(HPC)f(Research)i(Center)2918 -3968 y(Minneapolis,)e(MN)h(55455)3239 4363 y(August)e(15,)h(2003)p -0 10646 3120 7 v 172 10751 a FI(\003)242 10799 y FG(P)-8 -b FH(A)6 b(R)g FG(M)-7 b FH(E)-27 b FG(T)g FH(I)o FG(S)39 -b FF(is)32 b(cop)o(yrighted)k(by)e(the)f(re)n(gents)h(of)g(the)g(Uni)m -(v)n(ersity)f(of)h(Minnesota.)3858 11298 y FK(1)p eop -%%Page: 2 2 -2 1 bop 0 170 a FE(Contents)0 555 y FD(1)166 b(Intr)m(oduction)6568 -b(3)0 940 y(2)166 b(What)42 b(is)g(New)f(in)h(This)f(V)-17 -b(ersion)5450 b(4)0 1325 y(3)166 b(Algorithms)42 b(Used)f(in)46 -b FB(P)-7 b FC(A)8 b(R)g FB(M)-9 b FC(E)-34 b FB(T)g -FC(I)p FB(S)5337 b FD(5)249 1544 y FK(3.1)174 b(Unstructured)41 -b(Graph)h(P)n(artitioning)129 b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)286 b(5)249 1764 -y(3.2)174 b(P)n(artitioning)42 b(Meshes)e(Directly)110 -b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.) -h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)f(.)h(.)286 b(7)249 1983 y(3.3)174 b(P)n(artitioning)42 -b(Adapti)l(v)n(ely)f(Re\002ned)g(Meshes)110 b(.)82 b(.)h(.)f(.)h(.)g(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f -(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)286 b(7)249 2202 -y(3.4)174 b(P)n(artition)42 b(Re\002nement)151 b(.)82 -b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f -(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.) -h(.)f(.)h(.)f(.)h(.)f(.)h(.)286 b(8)249 2421 y(3.5)174 -b(P)n(artitioning)42 b(for)g(Multi-phase)f(and)h(Multi-ph)o(ysics)f -(Computations)64 b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f -(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)286 b(9)249 2640 -y(3.6)174 b(P)n(artitioning)42 b(for)g(Heterogeneous)f(Computing)h -(Architectures)114 b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(10)249 -2860 y(3.7)174 b(Computing)42 b(Fill-Reducing)g(Orderings)107 -b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) -h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)203 b(10)0 3245 y FD(4)166 b(Input)42 b(and)h(Output)g(F)l(ormats)f -(used)f(by)46 b FB(P)-7 b FC(A)8 b(R)g FB(M)-9 b FC(E)-34 -b FB(T)g FC(I)p FB(S)4146 b FD(12)249 3464 y FK(4.1)174 -b(F)n(ormat)42 b(of)g(the)f(Input)h(Graph)151 b(.)83 -b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.) -f(.)h(.)f(.)h(.)203 b(12)249 3683 y(4.2)174 b(F)n(ormat)42 -b(of)g(V)-18 b(erte)n(x)40 b(Coordinates)52 b(.)82 b(.)h(.)f(.)h(.)f(.) -h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 -b(14)249 3902 y(4.3)174 b(F)n(ormat)42 b(of)g(the)f(Input)h(Mesh)72 -b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.) -h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h -(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(14)249 4121 y(4.4)174 -b(F)n(ormat)42 b(of)g(the)f(Computed)g(P)n(artitionings)h(and)f -(Orderings)136 b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f -(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 -b(14)249 4341 y(4.5)174 b(Numbering)42 b(and)f(Memory)g(Allocation)131 -b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) -h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)203 b(15)0 4726 y FD(5)166 b(Calling)42 b(Sequence)g(of)g(the)g -(Routines)f(in)46 b FB(P)-7 b FC(A)8 b(R)g FB(M)-9 b -FC(E)-34 b FB(T)g FC(I)p FB(S)4115 b FD(16)249 4945 y -FK(5.1)174 b(Graph)41 b(P)n(artitioning)166 b(.)83 b(.)f(.)h(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f -(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) -h(.)f(.)h(.)203 b(17)1009 5164 y(P)n(arMETIS)p 1735 5164 -50 7 v 61 w(V3)p 1999 5164 V 59 w(P)n(artKw)n(ay)73 b(.)83 -b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) -f(.)h(.)203 b(17)1009 5383 y(P)n(arMETIS)p 1735 5383 -V 61 w(V3)p 1999 5383 V 59 w(P)n(artGeomKw)n(ay)165 b(.)83 -b(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 -b(19)1009 5603 y(P)n(arMETIS)p 1735 5603 V 61 w(V3)p -1999 5603 V 59 w(P)n(artGeom)62 b(.)83 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.) -h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(21)1009 -5822 y(P)n(arMETIS)p 1735 5822 V 61 w(V3)p 1999 5822 -V 59 w(P)n(artMeshKw)n(ay)77 b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(22)249 6041 y(5.2)174 -b(Graph)41 b(Repartitioning)113 b(.)82 b(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f -(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 -b(24)1009 6260 y(P)n(arMETIS)p 1735 6260 V 61 w(V3)p -1999 6260 V 59 w(Adapti)l(v)n(eRepart)61 b(.)82 b(.)h(.)f(.)h(.)f(.)h -(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) -g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(24)249 -6479 y(5.3)174 b(P)n(artitioning)42 b(Re\002nement)63 -b(.)83 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f -(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(26)1009 6698 y(P)n(arMETIS)p -1735 6698 V 61 w(V3)p 1999 6698 V 59 w(Re\002neKw)n(ay)153 -b(.)83 b(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f -(.)h(.)203 b(26)249 6918 y(5.4)174 b(Fill-reducing)43 -b(Orderings)79 b(.)k(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) -g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(27)1009 -7137 y(P)n(arMETIS)p 1735 7137 V 61 w(V3)p 1999 7137 -V 59 w(NodeND)133 b(.)83 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(27)249 7356 y(5.5)174 -b(Mesh)40 b(to)i(Graph)g(T)-6 b(ranslation)113 b(.)83 -b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.) -f(.)h(.)f(.)h(.)203 b(28)1009 7575 y(P)n(arMETIS)p 1735 -7575 V 61 w(V3)p 1999 7575 V 59 w(Mesh2Dual)82 b(.)g(.)h(.)f(.)h(.)f(.) -h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 -b(28)0 7960 y FD(6)166 b(Hard)n(war)m(e)41 b(&)h(Softwar)m(e)f(Requir)m -(ements,)g(and)i(Contact)f(Inf)l(ormation)2914 b(29)3858 -11298 y FK(2)p eop -%%Page: 3 3 -3 2 bop 0 170 a FE(1)233 b(Intr)-5 b(oduction)4 522 y -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)49 b FK(is)42 b(an)g(MPI-based)g(parallel)h(library)g(that)f -(implements)h(a)f(v)l(ariety)g(of)h(algorithms)g(for)g(partitioning)g -(and)f(repartitioning)0 741 y(unstructured)g(graphs)g(and)g(for)g -(computing)h(\002ll-reducing)g(orderings)f(of)g(sparse)f(matrices.)57 -b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)48 b FK(is)42 b(particularly)h(suited)e(for)0 -960 y(parallel)k(numerical)h(simulations)f(in)-7 b(v)m(olving)46 -b(lar)m(ge)f(unstructured)g(meshes.)62 b(In)45 b(this)h(type)f(of)h -(computation,)k FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)51 b FK(dramati-)0 1179 y(cally)40 -b(reduces)f(the)i(time)f(spent)g(in)g(communication)h(by)f(computing)h -(mesh)e(decompositions)h(such)g(that)g(the)g(numbers)g(of)h(interf)n -(ace)0 1398 y(elements)g(are)g(minimized.)199 1617 y(The)g(algorithms)h -(in)j FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)47 b FK(are)41 b(based)f(on)h(the)g(multile)l(v)n(el)g -(partitioning)h(and)e(\002ll-reducing)i(ordering)g(algorithms)f(that)g -(are)0 1837 y(implemented)g(in)h(the)f(widely-used)f(serial)h(package)j -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)48 b FK([5].)k(Ho)l(we)l(v)n -(er)-7 b(,)43 b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)48 b FK(e)n(xtends)40 b(the)h(functionality)h(pro) -n(vided)f(by)4 2056 y FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)45 b FK(and)38 b(includes)g(routines)g(that)g(are)g(especially)g -(suited)g(for)g(parallel)h(computations)f(and)g(lar)m(ge-scale)f -(numerical)i(simulations.)0 2275 y(In)j(particular)-7 -b(,)45 b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b -FA(T)g FG(I)p FA(S)48 b FK(pro)n(vides)41 b(the)h(follo)l(wing)g -(functionality:)249 2627 y FL(\017)83 b FK(P)n(artition)42 -b(unstructured)g(graphs)f(and)g(meshes.)249 2979 y FL(\017)83 -b FK(Repartition)42 b(graphs)f(that)h(correspond)f(to)g(adapti)l(v)n -(ely)g(re\002ned)h(meshes.)249 3331 y FL(\017)83 b FK(P)n(artition)42 -b(graphs)f(for)h(multi-phase)g(and)f(multi-ph)o(ysics)h(simulations.) -249 3683 y FL(\017)83 b FK(Impro)n(v)n(e)41 b(the)h(quality)f(of)h(e)n -(xisting)f(partitionings.)249 4035 y FL(\017)83 b FK(Compute)41 -b(\002ll-reducing)i(orderings)f(for)g(sparse)e(direct)i(f)n -(actorization.)249 4387 y FL(\017)83 b FK(Construct)41 -b(the)h(dual)f(graphs)g(of)h(meshes)199 4739 y(The)d(rest)g(of)g(this)g -(manual)g(is)g(or)m(g)o(anized)f(as)h(follo)l(ws.)50 -b(Section)39 b(2)g(brie\003y)g(describes)f(the)h(dif)l(ferences)f -(between)g(this)h(v)n(ersion)f(and)0 4958 y(the)46 b(pre)l(vious)g -(major)h(release.)64 b(Section)47 b(3)f(describes)f(the)h(v)l(arious)g -(algorithms)h(that)f(are)g(implemented)h(in)j FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t -FK(.)49 b(Section)d(4)0 5177 y(describes)53 b(the)g(format)i(of)f(the)f -(basic)g(parameters)h(that)f(need)h(to)g(be)f(supplied)h(to)g(the)f -(routines.)88 b(Section)54 b(5)g(pro)n(vides)f(a)g(detailed)0 -5397 y(description)i(of)g(the)g(calling)g(sequences)f(for)h(the)g -(major)h(routines)f(in)k FA(P)-10 b FG(A)8 b(R)g FA(M)-9 -b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)57 b(Finally)-11 -b(,)59 b(Section)c(6)g(describes)f(softw)n(are)h(and)0 -5616 y(hardw)n(are)42 b(requirements)f(and)g(pro)n(vides)g(contact)g -(information.)3858 11298 y(3)p eop -%%Page: 4 4 -4 3 bop 0 170 a FE(2)233 b(What)65 b(is)g(Ne)m(w)f(in)g(This)h(V)-12 -b(er)m(sion)4 522 y FA(P)i FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)t FK(,)48 b(V)-18 b(ersion)45 b(3.x)g(contains)h -(a)f(number)i(of)f(changes)e(o)n(v)n(er)h(the)h(pre)l(vious)g(major)g -(release)f(\(V)-18 b(ersion)45 b(2.x\).)64 b(Theses)45 -b(changes)0 741 y(include)c(the)h(follo)l(wing:)249 1126 -y FL(\017)83 b FK(The)51 b(names)f(and)h(calling)g(sequence)e(of)i(all) -g(the)g(routines)f(ha)m(v)n(e)g(changed)g(due)g(to)h(e)n(xpanded)f -(functionality)h(that)g(has)g(been)415 1345 y(pro)n(vided)37 -b(in)f(this)h(release.)48 b(T)-13 b(able)37 b(1)f(sho)l(ws)g(ho)l(w)g -(the)h(names)f(of)g(the)h(v)l(arious)f(routines)h(map)f(from)i(v)n -(ersion)e(to)h(v)n(ersion.)48 b(Note)415 1564 y(that)55 -b(V)-18 b(ersion)55 b(3.0)f(is)h(fully)h(backw)n(ards)e(compatible)h -(with)h(all)f(pre)l(vious)f(v)n(ersions)h(of)k FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t -FK(.)57 b(That)e(is,)j(the)d(old)h(API)415 1784 y(calls)45 -b(ha)m(v)n(e)e(been)i(mapped)g(to)g(the)g(ne)l(w)g(routines.)62 -b(Ho)l(we)l(v)n(er)-7 b(,)44 b(the)h(e)n(xpanded)f(functionality)i(pro) -n(vided)f(with)g(this)g(release)f(is)415 2003 y(only)e(a)m(v)l(ailable) -e(by)i(using)f(the)h(ne)l(w)f(calling)g(sequences.)249 -2355 y FL(\017)83 b FK(The)73 b(four)g(adapti)l(v)n(e)f(repartitioning) -h(routines:)114 b FA(P)-7 b(arMETIS)p 4163 2355 50 7 -v 61 w(Repar)7 b(tLDiffusion)p FK(,)82 b FA(P)-7 b(arMETIS)p -6347 2355 V 61 w(Repar)7 b(tGDiffusion)p FK(,)415 2574 -y FA(P)-7 b(arMETIS)p 1183 2574 V 61 w(Repar)7 b(tRemap)p -FK(,)45 b(and)d FA(P)-7 b(arMETIS)p 3409 2574 V 61 w(Repar)7 -b(tMLRemap)46 b FK(ha)m(v)n(e)41 b(been)h(replaced)g(by)h(a)g -(\(single\))g(implementa-)415 2793 y(tion)36 b(of)h(a)e(uni\002ed)i -(repartitioning)g(algorithm)f([15)q(],)g FA(P)-7 b(arMETIS)p -4235 2793 V 61 w(V3)p 4499 2793 V 60 w(Adaptiv)l(eRepar)7 -b(t)p FK(,)39 b(that)d(combines)f(the)h(best)f(features)415 -3012 y(of)42 b(the)f(pre)l(vious)h(routines.)249 3364 -y FL(\017)83 b FK(Multiple)39 b(v)n(erte)n(x)g(weights/balance)f -(constraints)g(are)h(supported)g(for)h(most)f(of)h(the)f(routines.)50 -b(This)40 b(allo)l(ws)i FA(P)-10 b FG(A)8 b(R)g FA(M)-9 -b FG(E)-34 b FA(T)g FG(I)p FA(S)46 b FK(to)39 b(be)415 -3583 y(used)i(to)h(partition)g(graphs)f(for)h(multi-phase)g(and)f -(multi-ph)o(ysics)h(simulations.)249 3935 y FL(\017)83 -b FK(In)66 b(order)g(to)h(optimize)f(partitionings)g(for)g(speci\002c)f -(heterogeneous)g(computing)i(architectures,)j(it)c(is)g(no)l(w)g -(possible)f(to)415 4155 y(specify)36 b(the)h(tar)m(get)g(sub-domain)f -(weights)h(for)g(each)f(of)h(the)g(sub-domains)f(and)g(for)i(each)e -(balance)f(constraint.)50 b(This)37 b(feature,)415 4374 -y(for)47 b(e)n(xample,)f(allo)l(ws)g(the)h(user)f(to)g(compute)h(a)f -(partitioning)h(in)g(which)f(one)h(of)f(the)h(sub-domains)f(is)g(twice) -g(the)h(size)e(of)i(all)415 4593 y(of)42 b(the)f(others.)249 -4945 y FL(\017)83 b FK(The)63 b(number)g(of)g(sub-domains)g(has)f(been) -g(de-coupled)h(from)g(the)g(number)g(of)g(processors)f(in)h(both)g(the) -f(static)h(and)f(the)415 5164 y(adapti)l(v)n(e)j(partitioning)h -(schemes.)123 b(Hence,)70 b(it)c(is)g(no)l(w)f(possible)g(to)h(use)f -(the)h(parallel)g(partitioning)h(and)e(repartitioning)415 -5383 y(algorithms)51 b(to)g(compute)g(a)g Fy(k)10 b FK(-w)n(ay)50 -b(partitioning)i(independent)f(of)g(the)f(number)i(of)f(processors)e -(that)i(are)g(used.)78 b(Note)51 b(that)415 5603 y(V)-18 -b(ersion)41 b(2.0)g(pro)n(vided)g(this)h(functionality)g(for)g(the)f -(static)g(partitioning)i(schemes)d(only)-11 b(.)249 5955 -y FL(\017)83 b FK(Routines)48 b(are)g(pro)n(vided)h(for)g(both)g -(directly)g(partitioning)g(a)f(\002nite)h(element)g(mesh,)g(and)f(for)h -(constructing)g(the)f(dual)h(graph)415 6174 y(of)42 b(a)f(mesh)g(in)h -(parallel.)51 b(In)42 b(v)n(ersion)f(3.1)g(these)f(routines)i(ha)m(v)n -(e)e(been)h(e)n(xtended)f(to)i(support)g(mix)n(ed)f(element)g(meshes.)p -1040 6714 5721 7 v 1037 6914 7 200 v 1140 6854 a(V)-18 -b(ersion)40 b(1.0)p 2281 6914 V 488 w(V)-18 b(ersion)41 -b(2.0)p 4452 6914 V 1414 w(V)-18 b(ersion)41 b(3.0)p -6757 6914 V 1040 6920 5721 7 v 1040 6927 V 1037 7126 -7 200 v 1140 7066 a(P)-15 b(ARKMETIS)p 2281 7126 V 319 -w(P)n(arMETIS)p 3110 7066 50 7 v 61 w(P)n(artKw)n(ay)p -4452 7126 7 200 v 734 w(P)n(arMETIS)p 5281 7066 50 7 -v 61 w(V3)p 5545 7066 V 60 w(P)n(artKw)n(ay)p 6757 7126 -7 200 v 1040 7133 5721 7 v 1037 7332 7 200 v 1140 7272 -a(P)g(ARGKMETIS)p 2281 7332 V 199 w(P)n(arMETIS)p 3110 -7272 50 7 v 61 w(P)n(artGeomKw)n(ay)p 4452 7332 7 200 -v 328 w(P)n(arMETIS)p 5281 7272 50 7 v 61 w(V3)p 5545 -7272 V 60 w(P)n(artGeomKw)n(ay)p 6757 7332 7 200 v 1040 -7339 5721 7 v 1037 7538 7 200 v 1140 7478 a(P)g(ARGMETIS)p -2281 7538 V 319 w(P)n(arMETIS)p 3110 7478 50 7 v 61 w(P)n(artGeom)p -4452 7538 7 200 v 723 w(P)n(arMETIS)p 5281 7478 50 7 -v 61 w(V3)p 5545 7478 V 60 w(P)n(artGeom)p 6757 7538 -7 200 v 1040 7545 5721 7 v 1037 7744 7 200 v 1140 7684 -a(P)g(ARGRMETIS)p 2281 7744 V 208 w(Not)42 b(a)m(v)l(ailable)p -4452 7744 V 1287 w(Not)g(a)m(v)l(ailable)p 6757 7744 -V 1040 7751 5721 7 v 1037 7950 7 200 v 1140 7890 a(P)-15 -b(ARRMETIS)p 2281 7950 V 328 w(P)n(arMETIS)p 3110 7890 -50 7 v 61 w(Re\002neKw)n(ay)p 4452 7950 7 200 v 565 w(P)n(arMETIS)p -5281 7890 50 7 v 61 w(V3)p 5545 7890 V 60 w(Re\002neKw)n(ay)p -6757 7950 7 200 v 1040 7956 5721 7 v 1037 8156 7 200 -v 1140 8096 a(P)g(AR)-7 b(U)g(AMETIS)p 2281 8156 V 213 -w(P)n(arMETIS)p 3110 8096 50 7 v 61 w(RepartLDif)l(fusion)p -4452 8156 7 200 v 4452 8156 V 6757 8156 V 1037 8355 V -1140 8295 a(P)-15 b(ARD)-7 b(AMETIS)p 2281 8355 V 206 -w(P)n(arMETIS)p 3110 8295 50 7 v 61 w(RepartGDif)l(fusion)p -4452 8355 7 200 v 4452 8355 V 6757 8355 V 1037 8554 V -1140 8494 a(Not)41 b(a)m(v)l(ailable)p 2281 8554 V 361 -w(P)n(arMETIS)p 3110 8494 50 7 v 61 w(RepartRemap)p 4452 -8554 7 200 v 4452 8554 V 4555 8382 a(P)n(arMETIS)p 5281 -8382 50 7 v 61 w(V3)p 5545 8382 V 60 w(Adapti)l(v)n(eRepart)p -6757 8554 7 200 v 1037 8753 V 1140 8694 a(Not)g(a)m(v)l(ailable)p -2281 8753 V 361 w(P)n(arMETIS)p 3110 8694 50 7 v 61 w(RepartMLRemap)p -4452 8753 7 200 v 4452 8753 V 6757 8753 V 1040 8760 5721 -7 v 1037 8959 7 200 v 1140 8900 a(P)-15 b(AR)-7 b(OMETIS)p -2281 8959 V 326 w(P)n(arMETIS)p 3110 8900 50 7 v 61 w(NodeND)p -4452 8959 7 200 v 794 w(P)n(arMETIS)p 5281 8900 50 7 -v 61 w(V3)p 5545 8900 V 60 w(NodeND)p 6757 8959 7 200 -v 1040 8966 5721 7 v 1037 9165 7 200 v 1140 9106 a(Not)41 -b(a)m(v)l(ailable)p 2281 9165 V 361 w(Not)h(a)m(v)l(ailable)p -4452 9165 V 1287 w(P)n(arMETIS)p 5281 9106 50 7 v 61 -w(V3)p 5545 9106 V 60 w(P)n(artMeshKw)n(ay)p 6757 9165 -7 200 v 1040 9172 5721 7 v 1037 9371 7 200 v 1140 9311 -a(Not)f(a)m(v)l(ailable)p 2281 9371 V 361 w(Not)h(a)m(v)l(ailable)p -4452 9371 V 1287 w(P)n(arMETIS)p 5281 9311 50 7 v 61 -w(V3)p 5545 9311 V 60 w(Mesh2Dual)p 6757 9371 7 200 v -1040 9378 5721 7 v 920 9683 a Fx(T)-11 b(ab)o(le)38 b(1)p -FK(:)51 b Fw(The)38 b(relationships)f(betw)o(een)f(the)i(names)f(of)g -(the)h(routines)f(in)h(the)f(diff)l(erent)g(v)m(ersions)g(of)k(P)-6 -b Fv(A)8 b(R)g Fw(M)-9 b Fv(E)-34 b Fw(T)g Fv(I)p Fw(S)t(.)3858 -11298 y FK(4)p eop -%%Page: 5 5 -5 4 bop 0 170 a FE(3)233 b(Algorithms)64 b(Used)h(in)71 -b(P)-9 b Fu(A)12 b(R)g FE(M)-11 b Fu(E)-46 b FE(T)g Fu(I)p -FE(S)4 522 y FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)40 b FK(pro)n(vides)33 b(a)g(v)l(ariety)g(of)h -(routines)g(that)f(can)g(be)h(used)e(to)i(compute)f(dif)l(ferent)h -(types)f(of)h(partitionings)g(and)f(repartitionings)0 -741 y(as)46 b(well)h(as)f(\002ll-reducing)i(orderings.)67 -b(Figure)47 b(1)g(pro)n(vides)f(an)h(o)n(v)n(ervie)l(w)f(of)h(the)g -(functionality)g(pro)n(vided)g(by)k FA(P)-10 b FG(A)8 -b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)53 b FK(as)46 -b(well)0 960 y(as)41 b(a)g(guide)h(to)f(its)h(use.)300 -5341 y @beginspecial 0 @llx 0 @lly 1182 @urx 686 @ury -4320 @rwi @setspecial -%%BeginDocument: ./figures/usagemap.eps -%!PS-Adobe-2.0 EPSF-2.0 -%%Title: usagemap.eps -%%Creator: fig2dev Version 3.2 Patchlevel 3b -%%CreationDate: Mon Jan 14 18:01:01 2002 -%%For: kirk@lnx08 (Kirk Schloegel) -%%BoundingBox: 0 0 1182 686 -%%Magnification: 1.0000 -%%EndComments -/$F2psDict 200 dict def -$F2psDict begin -$F2psDict /mtrx matrix put -/col-1 {0 setgray} bind def -/col0 {0.000 0.000 0.000 srgb} bind def -/col1 {0.000 0.000 1.000 srgb} bind def -/col2 {0.000 1.000 0.000 srgb} bind def -/col3 {0.000 1.000 1.000 srgb} bind def -/col4 {1.000 0.000 0.000 srgb} bind def -/col5 {1.000 0.000 1.000 srgb} bind def -/col6 {1.000 1.000 0.000 srgb} bind def -/col7 {1.000 1.000 1.000 srgb} bind def -/col8 {0.000 0.000 0.560 srgb} bind def -/col9 {0.000 0.000 0.690 srgb} bind def -/col10 {0.000 0.000 0.820 srgb} bind def -/col11 {0.530 0.810 1.000 srgb} bind def -/col12 {0.000 0.560 0.000 srgb} bind def -/col13 {0.000 0.690 0.000 srgb} bind def -/col14 {0.000 0.820 0.000 srgb} bind def -/col15 {0.000 0.560 0.560 srgb} bind def -/col16 {0.000 0.690 0.690 srgb} bind def -/col17 {0.000 0.820 0.820 srgb} bind def -/col18 {0.560 0.000 0.000 srgb} bind def -/col19 {0.690 0.000 0.000 srgb} bind def -/col20 {0.820 0.000 0.000 srgb} bind def -/col21 {0.560 0.000 0.560 srgb} bind def -/col22 {0.690 0.000 0.690 srgb} bind def -/col23 {0.820 0.000 0.820 srgb} bind def -/col24 {0.500 0.190 0.000 srgb} bind def -/col25 {0.630 0.250 0.000 srgb} bind def -/col26 {0.750 0.380 0.000 srgb} bind def -/col27 {1.000 0.500 0.500 srgb} bind def -/col28 {1.000 0.630 0.630 srgb} bind def -/col29 {1.000 0.750 0.750 srgb} bind def -/col30 {1.000 0.880 0.880 srgb} bind def -/col31 {1.000 0.840 0.000 srgb} bind def - -end -save -newpath 0 686 moveto 0 0 lineto 1182 0 lineto 1182 686 lineto closepath clip newpath --39.0 775.0 translate -1 -1 scale - -/cp {closepath} bind def -/ef {eofill} bind def -/gr {grestore} bind def -/gs {gsave} bind def -/sa {save} bind def -/rs {restore} bind def -/l {lineto} bind def -/m {moveto} bind def -/rm {rmoveto} bind def -/n {newpath} bind def -/s {stroke} bind def -/sh {show} bind def -/slc {setlinecap} bind def -/slj {setlinejoin} bind def -/slw {setlinewidth} bind def -/srgb {setrgbcolor} bind def -/rot {rotate} bind def -/sc {scale} bind def -/sd {setdash} bind def -/ff {findfont} bind def -/sf {setfont} bind def -/scf {scalefont} bind def -/sw {stringwidth} bind def -/tr {translate} bind def -/tnt {dup dup currentrgbcolor - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} - bind def -/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul - 4 -2 roll mul srgb} bind def -/reencdict 12 dict def /ReEncode { reencdict begin -/newcodesandnames exch def /newfontname exch def /basefontname exch def -/basefontdict basefontname findfont def /newfont basefontdict maxlength dict def -basefontdict { exch dup /FID ne { dup /Encoding eq -{ exch dup length array copy newfont 3 1 roll put } -{ exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall -newfont /FontName newfontname put newcodesandnames aload pop -128 1 255 { newfont /Encoding get exch /.notdef put } for -newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat -newfontname newfont definefont pop end } def -/isovec [ -8#055 /minus 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde -8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis -8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron -8#220 /dotlessi 8#230 /oe 8#231 /OE -8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling -8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis -8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot -8#255 /hyphen 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus -8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph -8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine -8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf -8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute -8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring -8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute -8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute -8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve -8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply -8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex -8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave -8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring -8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute -8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute -8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve -8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide -8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex -8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def -/Helvetica /Helvetica-iso isovec ReEncode -/Helvetica-Bold /Helvetica-Bold-iso isovec ReEncode -/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def -/$F2psEnd {$F2psEnteredState restore end} def - -$F2psBegin -%%Page: 1 1 -10 setmiterlimit - 0.06000 0.06000 sc -% -% Fig objects follow -% -% Polyline -7.500 slw -n 6705 8400 m 6600 8400 6600 9195 105 arcto 4 {pop} repeat - 6600 9300 10695 9300 105 arcto 4 {pop} repeat - 10800 9300 10800 8505 105 arcto 4 {pop} repeat - 10800 8400 6705 8400 105 arcto 4 {pop} repeat - cp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 2505 8400 m 2400 8400 2400 9195 105 arcto 4 {pop} repeat - 2400 9300 5595 9300 105 arcto 4 {pop} repeat - 5700 9300 5700 8505 105 arcto 4 {pop} repeat - 5700 8400 2505 8400 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -% Polyline -n 6705 10200 m 6600 10200 6600 10995 105 arcto 4 {pop} repeat - 6600 11100 10695 11100 105 arcto 4 {pop} repeat - 10800 11100 10800 10305 105 arcto 4 {pop} repeat - 10800 10200 6705 10200 105 arcto 4 {pop} repeat - cp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 6705 12000 m 6600 12000 6600 12795 105 arcto 4 {pop} repeat - 6600 12900 10695 12900 105 arcto 4 {pop} repeat - 10800 12900 10800 12105 105 arcto 4 {pop} repeat - 10800 12000 6705 12000 105 arcto 4 {pop} repeat - cp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 2505 12000 m 2400 12000 2400 12795 105 arcto 4 {pop} repeat - 2400 12900 5595 12900 105 arcto 4 {pop} repeat - 5700 12900 5700 12105 105 arcto 4 {pop} repeat - 5700 12000 2505 12000 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -% Polyline -n 2505 10200 m 2400 10200 2400 10995 105 arcto 4 {pop} repeat - 2400 11100 5595 11100 105 arcto 4 {pop} repeat - 5700 11100 5700 10305 105 arcto 4 {pop} repeat - 5700 10200 2505 10200 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -% Polyline -n 6705 6600 m 6600 6600 6600 7395 105 arcto 4 {pop} repeat - 6600 7500 10695 7500 105 arcto 4 {pop} repeat - 10800 7500 10800 6705 105 arcto 4 {pop} repeat - 10800 6600 6705 6600 105 arcto 4 {pop} repeat - cp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 2505 6600 m 2400 6600 2400 7395 105 arcto 4 {pop} repeat - 2400 7500 5595 7500 105 arcto 4 {pop} repeat - 5700 7500 5700 6705 105 arcto 4 {pop} repeat - 5700 6600 2505 6600 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -% Polyline -gs clippath -2374 12506 m 2449 12412 l 2238 12244 l 2342 12404 l 2163 12338 l cp -eoclip -n 1275 11550 m - 2400 12450 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 2163 12338 m 2342 12404 l 2238 12244 l 2163 12338 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -2415 10710 m 2415 10590 l 2146 10590 l 2326 10650 l 2146 10710 l cp -eoclip -n 1275 10650 m - 2400 10650 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 2146 10710 m 2326 10650 l 2146 10590 l 2146 10710 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -2415 8910 m 2415 8790 l 2146 8790 l 2326 8850 l 2146 8910 l cp -eoclip -n 1275 8850 m - 2400 8850 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 2146 8910 m 2326 8850 l 2146 8790 l 2146 8910 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -2415 7110 m 2415 6990 l 2146 6990 l 2326 7050 l 2146 7110 l cp -eoclip -n 1275 7050 m - 2400 7050 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 2146 7110 m 2326 7050 l 2146 6990 l 2146 7110 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -n 6705 4800 m 6600 4800 6600 5595 105 arcto 4 {pop} repeat - 6600 5700 10695 5700 105 arcto 4 {pop} repeat - 10800 5700 10800 4905 105 arcto 4 {pop} repeat - 10800 4800 6705 4800 105 arcto 4 {pop} repeat - cp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -gs clippath -2415 5310 m 2415 5190 l 2146 5190 l 2326 5250 l 2146 5310 l cp -eoclip -n 1275 5250 m - 2400 5250 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 2146 5310 m 2326 5250 l 2146 5190 l 2146 5310 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -2455 3176 m 2363 3100 l 2190 3306 l 2352 3207 l 2282 3383 l cp -eoclip -n 1275 4500 m - 2400 3150 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 2282 3383 m 2352 3207 l 2190 3306 l 2282 3383 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -6615 3210 m 6615 3090 l 6346 3090 l 6526 3150 l 6346 3210 l cp -eoclip -n 5700 3150 m - 6600 3150 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 6346 3210 m 6526 3150 l 6346 3090 l 6346 3210 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -6615 5310 m 6615 5190 l 6346 5190 l 6526 5250 l 6346 5310 l cp -eoclip -n 5700 5250 m - 6600 5250 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 6346 5310 m 6526 5250 l 6346 5190 l 6346 5310 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -6615 7110 m 6615 6990 l 6346 6990 l 6526 7050 l 6346 7110 l cp -eoclip -n 5700 7050 m - 6600 7050 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 6346 7110 m 6526 7050 l 6346 6990 l 6346 7110 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -6615 8910 m 6615 8790 l 6346 8790 l 6526 8850 l 6346 8910 l cp -eoclip -n 5700 8850 m - 6600 8850 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 6346 8910 m 6526 8850 l 6346 8790 l 6346 8910 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -6615 10710 m 6615 10590 l 6346 10590 l 6526 10650 l 6346 10710 l cp -eoclip -n 5700 10650 m - 6600 10650 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 6346 10710 m 6526 10650 l 6346 10590 l 6346 10710 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -6615 12510 m 6615 12390 l 6346 12390 l 6526 12450 l 6346 12510 l cp -eoclip -n 5700 12450 m - 6600 12450 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 6346 12510 m 6526 12450 l 6346 12390 l 6346 12510 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -11092 3811 m 11135 3699 l 10882 3604 l 11030 3724 l 10840 3716 l cp -eoclip -n 9900 3300 m - 11100 3750 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 10840 3716 m 11030 3724 l 10882 3604 l 10840 3716 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -n 16605 2700 m 16500 2700 16500 3495 105 arcto 4 {pop} repeat - 16500 3600 19995 3600 105 arcto 4 {pop} repeat - 20100 3600 20100 2805 105 arcto 4 {pop} repeat - 20100 2700 16605 2700 105 arcto 4 {pop} repeat - cp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 16305 1500 m 16200 1500 16200 2295 105 arcto 4 {pop} repeat - 16200 2400 20220 2400 105 arcto 4 {pop} repeat - 20325 2400 20325 1605 105 arcto 4 {pop} repeat - 20325 1500 16305 1500 105 arcto 4 {pop} repeat - cp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -gs clippath -16224 2006 m 16204 1888 l 15939 1932 l 16127 1962 l 15959 2050 l cp -eoclip -n 14400 2250 m - 16200 1950 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 15959 2050 m 16127 1962 l 15939 1932 l 15959 2050 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -16506 3211 m 16523 3092 l 16256 3054 l 16426 3139 l 16239 3172 l cp -eoclip -n 14400 2850 m - 16500 3150 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 16239 3172 m 16426 3139 l 16256 3054 l 16239 3172 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -gs clippath -11137 2523 m 11089 2414 l 10843 2522 l 11032 2505 l 10891 2632 l cp -eoclip -n 9900 3000 m - 11100 2475 l gs col7 1.00 shd ef gr gs col-1 s gr gr - -% arrowhead -45.000 slw -n 10891 2632 m 11032 2505 l 10843 2522 l 10891 2632 l cp gs 0.00 setgray ef gr col-1 s -% Polyline -7.500 slw -n 2505 2700 m 2400 2700 2400 3495 105 arcto 4 {pop} repeat - 2400 3600 5595 3600 105 arcto 4 {pop} repeat - 5700 3600 5700 2805 105 arcto 4 {pop} repeat - 5700 2700 2505 2700 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -% Polyline -n 2505 4800 m 2400 4800 2400 5595 105 arcto 4 {pop} repeat - 2400 5700 5595 5700 105 arcto 4 {pop} repeat - 5700 5700 5700 4905 105 arcto 4 {pop} repeat - 5700 4800 2505 4800 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -% Polyline -n 6705 2700 m 6600 2700 6600 3495 105 arcto 4 {pop} repeat - 6600 3600 9795 3600 105 arcto 4 {pop} repeat - 9900 3600 9900 2805 105 arcto 4 {pop} repeat - 9900 2700 6705 2700 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -% Polyline -n 11205 3300 m 11100 3300 11100 4095 105 arcto 4 {pop} repeat - 11100 4200 14295 4200 105 arcto 4 {pop} repeat - 14400 4200 14400 3405 105 arcto 4 {pop} repeat - 14400 3300 11205 3300 105 arcto 4 {pop} repeat - cp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 11205 2100 m 11100 2100 11100 2895 105 arcto 4 {pop} repeat - 11100 3000 14295 3000 105 arcto 4 {pop} repeat - 14400 3000 14400 2205 105 arcto 4 {pop} repeat - 14400 2100 11205 2100 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -/Helvetica-iso ff 240.00 scf sf -10425 2625 m -gs 1 -1 sc 20.0 rot (YES) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 210.00 scf sf -10500 3900 m -gs 1 -1 sc 340.0 rot (YES or NO) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -15225 1950 m -gs 1 -1 sc 8.0 rot (High quality) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -15375 2850 m -gs 1 -1 sc 352.0 rot (Low quality) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold-iso ff 240.00 scf sf -8700 12525 m -gs 1 -1 sc (ParMETIS_V3_NodeND) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold-iso ff 240.00 scf sf -8700 10800 m -gs 1 -1 sc (ParMETIS_V3_RefineKway) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold-iso ff 240.00 scf sf -8700 9000 m -gs 1 -1 sc (ParMETIS_V3_AdaptiveRepart) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold-iso ff 240.00 scf sf -8700 7200 m -gs 1 -1 sc (ParMETIS_V3_Mesh2Dual) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold-iso ff 240.00 scf sf -8700 5400 m -gs 1 -1 sc (ParMETIS_V3_PartMeshKway) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold-iso ff 240.00 scf sf -12750 3900 m -gs 1 -1 sc (ParMETIS_V3_PartKway) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold-iso ff 240.00 scf sf -18262 2100 m -gs 1 -1 sc (ParMETIS_V3_PartGeomKway) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold-iso ff 240.00 scf sf -18300 3225 m -gs 1 -1 sc (ParMETIS_V3_PartGeom) dup sw pop 2 div neg 0 rm col-1 sh gr -% Polyline -n 780 4425 m 675 4425 675 11520 105 arcto 4 {pop} repeat - 675 11625 1170 11625 105 arcto 4 {pop} repeat - 1275 11625 1275 4530 105 arcto 4 {pop} repeat - 1275 4425 780 4425 105 arcto 4 {pop} repeat - cp gs col7 1.00 shd ef gr gs col-1 s gr -/Helvetica-iso ff 360.00 scf sf -1125 8025 m -gs 1 -1 sc 90.0 rot (ParMetis Can Do The Following) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -4050 3225 m -gs 1 -1 sc (Partition a graph) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -4050 5325 m -gs 1 -1 sc (Partition a mesh) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -4050 10575 m -gs 1 -1 sc (Refine the quality) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -4050 10875 m -gs 1 -1 sc (of a partitioning) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -4050 12375 m -gs 1 -1 sc (Compute a fill-reducing ) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -4050 12675 m -gs 1 -1 sc (ordering) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -8250 3405 m -gs 1 -1 sc (for the vertices?) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -8250 3075 m -gs 1 -1 sc (Do you have coordinates) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -12750 2475 m -gs 1 -1 sc (What are your ) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 240.00 scf sf -12750 2805 m -gs 1 -1 sc (time/quality tradeoffs?) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 210.00 scf sf -4050 8775 m -gs 1 -1 sc (Repartition a graph corresponding) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 210.00 scf sf -4050 9075 m -gs 1 -1 sc (to an adaptively refined mesh) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-iso ff 210.00 scf sf -4050 7125 m -gs 1 -1 sc (Construct a graph from a mesh) dup sw pop 2 div neg 0 rm col-1 sh gr -$F2psEnd -rs - -%%EndDocument - @endspecial 0 5706 a Fx(Figure)56 b(1)p FK(:)91 b Fw(A)56 -b(br)r(ief)g(o)n(v)m(er)t(vie)n(w)g(of)f(the)g(functionality)g(pro)n -(vided)h(b)n(y)j(P)-6 b Fv(A)8 b(R)g Fw(M)-9 b Fv(E)-34 -b Fw(T)g Fv(I)p Fw(S)t(.)58 b(The)e(shaded)e(bo)l(x)l(es)i(correspond)f -(to)g(the)g(actual)h(routines)f(in)4 5905 y(P)-6 b Fv(A)8 -b(R)g Fw(M)-9 b Fv(E)-34 b Fw(T)g Fv(I)p Fw(S)44 b(that)37 -b(implement)h(each)f(par)5 b(ticular)38 b(oper)o(ation.)0 -6526 y Ft(3.1)199 b(Unstructured)53 b(Graph)i(P)-6 b(ar)t(titioning)0 -6844 y FA(P)f(arMETIS)p 768 6844 50 7 v 61 w(V3)p 1032 -6844 V 60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)40 b FK(is)g(the)g(routine)h(in)j -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)47 b FK(that)41 b(is)f(used)f(to)i(partition)g(unstructured)f -(graphs.)50 b(This)41 b(routine)f(tak)n(es)0 7064 y(a)i(graph)g(and)f -(computes)h(a)f Fy(k)10 b FK(-w)n(ay)42 b(partitioning)h(\(where)f -Fy(k)51 b FK(is)42 b(equal)f(to)h(the)g(number)g(of)h(sub-domains)e -(desired\))h(while)g(attempting)0 7283 y(to)e(minimize)f(the)g(number)h -(of)g(edges)e(that)i(are)f(cut)g(by)g(the)h(partitioning)g(\()p -Fs(i.e)p FK(.,)e(the)i Fs(edg)n(e-cut)p FK(\).)50 b FA(P)-7 -b(arMETIS)p 6321 7283 V 61 w(V3)p 6585 7283 V 60 w(P)g(ar)7 -b(tKw)n(a)-5 b(y)39 b FK(mak)n(es)0 7502 y(no)j(assumptions)e(on)i(ho)l -(w)f(the)h(graph)f(is)g(initially)i(distrib)m(uted)e(among)h(the)f -(processors.)50 b(It)42 b(can)f(ef)l(fecti)l(v)n(ely)g(partition)h(a)f -(graph)h(that)0 7721 y(is)i(randomly)h(distrib)m(uted)f(as)f(well)h(as) -g(a)g(graph)g(that)g(is)g(well)g(distrib)m(uted)4307 -7661 y Fr(1)4379 7721 y FK(.)59 b(If)44 b(the)h(graph)f(is)g(initially) -h(well)f(distrib)m(uted)g(among)g(the)0 7940 y(processors,)i -FA(P)-7 b(arMETIS)p 1558 7940 V 61 w(V3)p 1822 7940 V -60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)46 b FK(will)h(tak)n(e)f(less)f(time)i -(to)g(run.)65 b(Ho)l(we)l(v)n(er)-7 b(,)47 b(the)f(quality)g(of)h(the)f -(computed)g(partitionings)0 8160 y(does)41 b(not)h(depend)f(on)g(the)h -(initial)g(distrib)m(ution.)199 8379 y(The)58 b(parallel)f(graph)h -(partitioning)g(algorithm)g(used)f(in)h FA(P)-7 b(arMETIS)p -4358 8379 V 61 w(V3)p 4622 8379 V 60 w(P)g(ar)7 b(tKw)n(a)-5 -b(y)57 b FK(is)g(based)g(on)g(the)h(serial)f(multile)l(v)n(el)g -Fy(k)10 b FK(-)0 8598 y(w)n(ay)49 b(partitioning)g(algorithm)h -(described)e(in)h([6,)f(7])i(and)e(parallelized)g(in)h([4)q(,)f(14].)73 -b(This)49 b(algorithm)g(has)g(been)f(sho)l(wn)g(to)h(quickly)0 -8817 y(produce)g(partitionings)g(that)g(are)g(of)g(v)n(ery)f(high)i -(quality)-11 b(.)73 b(It)50 b(consists)d(of)j(three)e(phases:)66 -b(graph)49 b(coarsening,)g(initial)h(partitioning,)0 -9036 y(and)c(uncoarsening/re\002nement.)66 b(In)46 b(the)h(graph)f -(coarsening)g(phase,)g(a)g(series)g(of)g(graphs)g(is)h(constructed)e -(by)i(collapsing)f(together)p 0 9325 3120 7 v 174 9445 -a Fq(1)239 9494 y FF(The)36 b(reader)g(should)h(note)f(the)f(dif)m -(ference)i(between)e(the)h(terms)f Fp(gr)n(aph)i(distrib)m(ution)g -FF(and)f Fp(gr)n(aph)g(partition)p FF(.)49 b(A)35 b(partitioning)i(is)e -(a)h(mapping)h(of)f(the)f(v)n(ertices)h(to)0 9651 y(the)g(processors)f -(that)h(results)f(in)h(a)f(distrib)m(ution.)49 b(In)36 -b(other)g(w)o(ords,)h(a)e(partitioning)i(speci\002es)e(a)g(distrib)m -(ution.)49 b(In)36 b(order)h(to)e(partition)i(a)e(graph)h(in)g -(parallel,)g(an)g(initial)0 9809 y(distrib)m(ution)i(of)e(the)g(nodes)h -(and)g(edges)f(of)g(the)g(graph)i(among)f(the)f(processors)g(is)g -(required.)50 b(F)n(or)37 b(e)n(xample,)g(consider)g(a)f(graph)h(that)f -(corresponds)i(to)e(the)g(dual)h(of)f(a)0 9967 y(\002nite-element)30 -b(mesh.)40 b(This)30 b(graph)g(could)h(initially)e(be)h(partitioned)g -(simply)g(by)g(mapping)h(groups)g(of)e Fn(n)6 b Fo(=)15 -b Fn(p)35 b FF(consecuti)m(v)n(ely)30 b(numbered)i(elements)d(to)h -(each)f(processor)0 10125 y(where)g Fn(n)35 b FF(is)28 -b(the)h(number)i(of)e(elements)g(and)44 b Fn(p)34 b FF(is)28 -b(the)h(number)h(of)g(processors.)40 b(Of)29 b(course,)h(this)f(nai)m -(v)n(e)g(approach)h(is)f(not)g(lik)o(ely)g(to)g(result)g(in)f(a)h(v)n -(ery)h(good)g(distrib)m(ution)0 10282 y(because)j(elements)h(that)f -(belong)h(to)g(a)f(number)i(of)e(dif)m(ferent)h(re)n(gions)g(of)g(the)f -(mesh)h(may)f(get)h(mapped)g(to)g(the)f(same)g(processor)-7 -b(.)42 b(\(That)34 b(is,)f(each)g(processor)h(may)g(get)0 -10440 y(a)d(number)j(of)e(small)f(sub-domains)j(as)d(opposed)i(to)f(a)f -(single)h(contiguous)i(sub-domain\).)43 b(Hence,)32 b(you)h(w)o(ould)f -(w)o(ant)f(to)h(compute)h(a)f(ne)m(w)f(high-quality)j(partitioning)0 -10598 y(for)h(the)f(graph)i(and)e(then)h(redistrib)m(ute)g(the)g(mesh)f -(accordingly)-9 b(.)46 b(Note)34 b(that)h(it)f(may)g(also)g(be)h(the)f -(case)f(that)i(the)f(initial)g(graph)h(is)f(well)g(distrib)m(uted,)i -(as)d(when)i(meshes)0 10755 y(are)e(adapti)m(v)n(ely)i(re\002ned)f(and) -g(repartitioned.)3858 11298 y FK(5)p eop -%%Page: 6 6 -6 5 bop 1800 3598 a @beginspecial 0 @llx 0 @lly 544 @urx -466 @ury 2520 @rwi @setspecial -%%BeginDocument: figures/mlp.eps -%!PS-Adobe-2.0 EPSF-2.0 -%%Title: kmlevel.fig -%%Creator: fig2dev Version 3.1 Patchlevel 2 -%%CreationDate: Mon Feb 3 14:33:40 1997 -%%For: kirk@peca (Kirk Schloegel) -%Magnification: 1.00 -%%Orientation: Portrait -%%BoundingBox: 0 0 544 466 -%%Pages: 0 -%%BeginSetup -%%IncludeFeature: *PageSize Letter -%%EndSetup -%%EndComments -/$F2psDict 200 dict def -$F2psDict begin -$F2psDict /mtrx matrix put -/col-1 {0 setgray} bind def -/col0 {0.000 0.000 0.000 srgb} bind def -/col1 {0.000 0.000 1.000 srgb} bind def -/col2 {0.000 1.000 0.000 srgb} bind def -/col3 {0.000 1.000 1.000 srgb} bind def -/col4 {1.000 0.000 0.000 srgb} bind def -/col5 {1.000 0.000 1.000 srgb} bind def -/col6 {1.000 1.000 0.000 srgb} bind def -/col7 {1.000 1.000 1.000 srgb} bind def -/col8 {0.000 0.000 0.560 srgb} bind def -/col9 {0.000 0.000 0.690 srgb} bind def -/col10 {0.000 0.000 0.820 srgb} bind def -/col11 {0.530 0.810 1.000 srgb} bind def -/col12 {0.000 0.560 0.000 srgb} bind def -/col13 {0.000 0.690 0.000 srgb} bind def -/col14 {0.000 0.820 0.000 srgb} bind def -/col15 {0.000 0.560 0.560 srgb} bind def -/col16 {0.000 0.690 0.690 srgb} bind def -/col17 {0.000 0.820 0.820 srgb} bind def -/col18 {0.560 0.000 0.000 srgb} bind def -/col19 {0.690 0.000 0.000 srgb} bind def -/col20 {0.820 0.000 0.000 srgb} bind def -/col21 {0.560 0.000 0.560 srgb} bind def -/col22 {0.690 0.000 0.690 srgb} bind def -/col23 {0.820 0.000 0.820 srgb} bind def -/col24 {0.500 0.190 0.000 srgb} bind def -/col25 {0.630 0.250 0.000 srgb} bind def -/col26 {0.750 0.380 0.000 srgb} bind def -/col27 {1.000 0.500 0.500 srgb} bind def -/col28 {1.000 0.630 0.630 srgb} bind def -/col29 {1.000 0.750 0.750 srgb} bind def -/col30 {1.000 0.880 0.880 srgb} bind def -/col31 {1.000 0.840 0.000 srgb} bind def - -end -save --52.0 485.0 translate -1 -1 scale - -/cp {closepath} bind def -/ef {eofill} bind def -/gr {grestore} bind def -/gs {gsave} bind def -/sa {save} bind def -/rs {restore} bind def -/l {lineto} bind def -/m {moveto} bind def -/rm {rmoveto} bind def -/n {newpath} bind def -/s {stroke} bind def -/sh {show} bind def -/slc {setlinecap} bind def -/slj {setlinejoin} bind def -/slw {setlinewidth} bind def -/srgb {setrgbcolor} bind def -/rot {rotate} bind def -/sc {scale} bind def -/sd {setdash} bind def -/ff {findfont} bind def -/sf {setfont} bind def -/scf {scalefont} bind def -/sw {stringwidth} bind def -/tr {translate} bind def -/tnt {dup dup currentrgbcolor - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} - bind def -/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul - 4 -2 roll mul srgb} bind def - /DrawSplineSection { - /y3 exch def - /x3 exch def - /y2 exch def - /x2 exch def - /y1 exch def - /x1 exch def - /xa x1 x2 x1 sub 0.666667 mul add def - /ya y1 y2 y1 sub 0.666667 mul add def - /xb x3 x2 x3 sub 0.666667 mul add def - /yb y3 y2 y3 sub 0.666667 mul add def - x1 y1 lineto - xa ya xb yb x3 y3 curveto - } def - -/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def -/$F2psEnd {$F2psEnteredState restore end} def -%%EndProlog - -$F2psBegin -10 setmiterlimit -n 0 792 m 0 0 l 612 0 l 612 792 l cp clip - 0.06000 0.06000 sc -% Closed spline -gs 7.500 slw -n 2489.0 3150.0 m - 2489.0 3150.0 2399.0 3180.0 2309.0 3210.0 DrawSplineSection - 2309.0 3210.0 2219.0 3240.0 2069.5 3359.5 DrawSplineSection - 2069.5 3359.5 1920.0 3479.0 1860.0 3539.0 DrawSplineSection - 1860.0 3539.0 1800.0 3599.0 1800.0 3689.0 DrawSplineSection - 1800.0 3689.0 1800.0 3779.0 1800.0 3839.0 DrawSplineSection - 1800.0 3839.0 1800.0 3899.0 1860.0 3959.5 DrawSplineSection - 1860.0 3959.5 1920.0 4020.0 1980.0 4079.5 DrawSplineSection - 1980.0 4079.5 2040.0 4139.0 2070.0 4139.0 DrawSplineSection - 2070.0 4139.0 2100.0 4139.0 2219.5 4169.0 DrawSplineSection - 2219.5 4169.0 2339.0 4199.0 2489.5 4229.0 DrawSplineSection - 2489.5 4229.0 2640.0 4259.0 2790.0 4259.0 DrawSplineSection - 2790.0 4259.0 2940.0 4259.0 3089.5 4259.0 DrawSplineSection - 3089.5 4259.0 3239.0 4259.0 3329.0 4349.0 DrawSplineSection - 3329.0 4349.0 3419.0 4439.0 3479.0 4439.0 DrawSplineSection - 3479.0 4439.0 3539.0 4439.0 3599.0 4439.0 DrawSplineSection - 3599.0 4439.0 3659.0 4439.0 3779.0 4379.0 DrawSplineSection - 3779.0 4379.0 3899.0 4319.0 3869.0 4199.0 DrawSplineSection - 3869.0 4199.0 3839.0 4079.0 3869.0 3989.0 DrawSplineSection - 3869.0 3989.0 3899.0 3899.0 4019.0 3809.0 DrawSplineSection - 4019.0 3809.0 4139.0 3719.0 4169.0 3689.0 DrawSplineSection - 4169.0 3689.0 4199.0 3659.0 4199.0 3509.5 DrawSplineSection - 4199.0 3509.5 4199.0 3360.0 4019.0 3240.0 DrawSplineSection - 4019.0 3240.0 3839.0 3120.0 3779.0 3090.0 DrawSplineSection - 3779.0 3090.0 3719.0 3060.0 3539.0 3030.0 DrawSplineSection - 3539.0 3030.0 3359.0 3000.0 3209.0 3000.0 DrawSplineSection - 3209.0 3000.0 3059.0 3000.0 2969.5 3000.0 DrawSplineSection - 2969.5 3000.0 2880.0 3000.0 2820.0 3060.0 DrawSplineSection - 2820.0 3060.0 2760.0 3120.0 2700.0 3120.0 DrawSplineSection - 2700.0 3120.0 2640.0 3120.0 2609.5 3120.0 DrawSplineSection - 2609.5 3120.0 2579.0 3120.0 2489.0 3150.0 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -% Closed spline -gs n 6349.5 6331.0 m - 6349.5 6331.0 6304.0 6347.0 6259.0 6361.5 DrawSplineSection - 6259.0 6361.5 6214.0 6376.0 6138.0 6436.5 DrawSplineSection - 6138.0 6436.5 6062.0 6497.0 6033.0 6527.0 DrawSplineSection - 6033.0 6527.0 6004.0 6557.0 6004.0 6602.5 DrawSplineSection - 6004.0 6602.5 6004.0 6648.0 6004.0 6678.0 DrawSplineSection - 6004.0 6678.0 6004.0 6708.0 6033.0 6738.0 DrawSplineSection - 6033.0 6738.0 6062.0 6768.0 6092.5 6798.0 DrawSplineSection - 6092.5 6798.0 6123.0 6828.0 6138.5 6828.0 DrawSplineSection - 6138.5 6828.0 6154.0 6828.0 6214.5 6844.0 DrawSplineSection - 6214.5 6844.0 6275.0 6860.0 6350.0 6874.5 DrawSplineSection - 6350.0 6874.5 6425.0 6889.0 6500.5 6889.0 DrawSplineSection - 6500.5 6889.0 6576.0 6889.0 6651.5 6889.0 DrawSplineSection - 6651.5 6889.0 6727.0 6889.0 6772.0 6934.0 DrawSplineSection - 6772.0 6934.0 6817.0 6979.0 6847.0 6979.0 DrawSplineSection - 6847.0 6979.0 6877.0 6979.0 6907.0 6979.0 DrawSplineSection - 6907.0 6979.0 6937.0 6979.0 6997.5 6949.0 DrawSplineSection - 6997.5 6949.0 7058.0 6919.0 7043.0 6858.5 DrawSplineSection - 7043.0 6858.5 7028.0 6798.0 7043.0 6753.0 DrawSplineSection - 7043.0 6753.0 7058.0 6708.0 7118.5 6663.0 DrawSplineSection - 7118.5 6663.0 7179.0 6618.0 7194.0 6602.0 DrawSplineSection - 7194.0 6602.0 7209.0 6586.0 7209.0 6511.5 DrawSplineSection - 7209.0 6511.5 7209.0 6437.0 7118.5 6376.0 DrawSplineSection - 7118.5 6376.0 7028.0 6315.0 6998.0 6301.0 DrawSplineSection - 6998.0 6301.0 6968.0 6287.0 6877.5 6272.0 DrawSplineSection - 6877.5 6272.0 6787.0 6257.0 6711.5 6257.0 DrawSplineSection - 6711.5 6257.0 6636.0 6257.0 6590.0 6257.0 DrawSplineSection - 6590.0 6257.0 6544.0 6257.0 6514.0 6286.0 DrawSplineSection - 6514.0 6286.0 6484.0 6315.0 6454.5 6315.0 DrawSplineSection - 6454.5 6315.0 6425.0 6315.0 6410.0 6315.0 DrawSplineSection - 6410.0 6315.0 6395.0 6315.0 6349.5 6331.0 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -% Closed spline -gs n 6860.0 4878.0 m - 6860.0 4878.0 6795.0 4901.0 6730.0 4922.0 DrawSplineSection - 6730.0 4922.0 6665.0 4943.0 6556.0 5029.5 DrawSplineSection - 6556.0 5029.5 6447.0 5116.0 6405.5 5159.0 DrawSplineSection - 6405.5 5159.0 6364.0 5202.0 6364.0 5267.5 DrawSplineSection - 6364.0 5267.5 6364.0 5333.0 6364.0 5376.0 DrawSplineSection - 6364.0 5376.0 6364.0 5419.0 6405.5 5462.0 DrawSplineSection - 6405.5 5462.0 6447.0 5505.0 6491.0 5548.0 DrawSplineSection - 6491.0 5548.0 6535.0 5591.0 6557.0 5591.0 DrawSplineSection - 6557.0 5591.0 6579.0 5591.0 6666.0 5614.0 DrawSplineSection - 6666.0 5614.0 6753.0 5637.0 6860.5 5658.0 DrawSplineSection - 6860.5 5658.0 6968.0 5679.0 7076.5 5679.0 DrawSplineSection - 7076.5 5679.0 7185.0 5679.0 7293.5 5679.0 DrawSplineSection - 7293.5 5679.0 7402.0 5679.0 7466.5 5743.5 DrawSplineSection - 7466.5 5743.5 7531.0 5808.0 7574.0 5808.0 DrawSplineSection - 7574.0 5808.0 7617.0 5808.0 7660.0 5808.0 DrawSplineSection - 7660.0 5808.0 7703.0 5808.0 7790.0 5765.0 DrawSplineSection - 7790.0 5765.0 7877.0 5722.0 7855.5 5635.0 DrawSplineSection - 7855.5 5635.0 7834.0 5548.0 7855.5 5483.5 DrawSplineSection - 7855.5 5483.5 7877.0 5419.0 7964.0 5354.5 DrawSplineSection - 7964.0 5354.5 8051.0 5290.0 8072.5 5267.0 DrawSplineSection - 8072.5 5267.0 8094.0 5244.0 8094.0 5137.0 DrawSplineSection - 8094.0 5137.0 8094.0 5030.0 7964.0 4942.5 DrawSplineSection - 7964.0 4942.5 7834.0 4855.0 7791.0 4835.0 DrawSplineSection - 7791.0 4835.0 7748.0 4815.0 7618.0 4793.5 DrawSplineSection - 7618.0 4793.5 7488.0 4772.0 7379.5 4772.0 DrawSplineSection - 7379.5 4772.0 7271.0 4772.0 7205.0 4772.0 DrawSplineSection - 7205.0 4772.0 7139.0 4772.0 7096.0 4813.5 DrawSplineSection - 7096.0 4813.5 7053.0 4855.0 7010.5 4855.0 DrawSplineSection - 7010.5 4855.0 6968.0 4855.0 6946.5 4855.0 DrawSplineSection - 6946.5 4855.0 6925.0 4855.0 6860.0 4878.0 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -% Closed spline -gs n 3944.0 6299.0 m - 3944.0 6299.0 3899.0 6314.0 3854.0 6329.5 DrawSplineSection - 3854.0 6329.5 3809.0 6345.0 3734.0 6404.5 DrawSplineSection - 3734.0 6404.5 3659.0 6464.0 3629.5 6494.0 DrawSplineSection - 3629.5 6494.0 3600.0 6524.0 3600.0 6569.0 DrawSplineSection - 3600.0 6569.0 3600.0 6614.0 3600.0 6644.0 DrawSplineSection - 3600.0 6644.0 3600.0 6674.0 3629.5 6703.5 DrawSplineSection - 3629.5 6703.5 3659.0 6733.0 3689.5 6763.0 DrawSplineSection - 3689.5 6763.0 3720.0 6793.0 3735.0 6793.0 DrawSplineSection - 3735.0 6793.0 3750.0 6793.0 3810.0 6808.0 DrawSplineSection - 3810.0 6808.0 3870.0 6823.0 3945.0 6838.0 DrawSplineSection - 3945.0 6838.0 4020.0 6853.0 4095.0 6853.0 DrawSplineSection - 4095.0 6853.0 4170.0 6853.0 4245.0 6853.0 DrawSplineSection - 4245.0 6853.0 4320.0 6853.0 4364.5 6898.0 DrawSplineSection - 4364.5 6898.0 4409.0 6943.0 4439.0 6943.0 DrawSplineSection - 4439.0 6943.0 4469.0 6943.0 4499.0 6943.0 DrawSplineSection - 4499.0 6943.0 4529.0 6943.0 4589.0 6913.0 DrawSplineSection - 4589.0 6913.0 4649.0 6883.0 4634.0 6823.0 DrawSplineSection - 4634.0 6823.0 4619.0 6763.0 4634.0 6718.5 DrawSplineSection - 4634.0 6718.5 4649.0 6674.0 4709.0 6629.0 DrawSplineSection - 4709.0 6629.0 4769.0 6584.0 4784.0 6568.5 DrawSplineSection - 4784.0 6568.5 4799.0 6553.0 4799.0 6478.5 DrawSplineSection - 4799.0 6478.5 4799.0 6404.0 4709.0 6344.0 DrawSplineSection - 4709.0 6344.0 4619.0 6284.0 4589.0 6269.0 DrawSplineSection - 4589.0 6269.0 4559.0 6254.0 4469.0 6239.5 DrawSplineSection - 4469.0 6239.5 4379.0 6225.0 4304.0 6225.0 DrawSplineSection - 4304.0 6225.0 4229.0 6225.0 4184.0 6225.0 DrawSplineSection - 4184.0 6225.0 4139.0 6225.0 4109.0 6254.5 DrawSplineSection - 4109.0 6254.5 4079.0 6284.0 4049.5 6284.0 DrawSplineSection - 4049.5 6284.0 4020.0 6284.0 4004.5 6284.0 DrawSplineSection - 4004.5 6284.0 3989.0 6284.0 3944.0 6299.0 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -% Closed spline -gs n 1762.5 1087.5 m - 1762.5 1087.5 1650.0 1125.0 1537.5 1162.5 DrawSplineSection - 1537.5 1162.5 1425.0 1200.0 1237.5 1350.0 DrawSplineSection - 1237.5 1350.0 1050.0 1500.0 975.0 1575.0 DrawSplineSection - 975.0 1575.0 900.0 1650.0 900.0 1762.5 DrawSplineSection - 900.0 1762.5 900.0 1875.0 900.0 1950.0 DrawSplineSection - 900.0 1950.0 900.0 2025.0 975.0 2100.0 DrawSplineSection - 975.0 2100.0 1050.0 2175.0 1125.0 2250.0 DrawSplineSection - 1125.0 2250.0 1200.0 2325.0 1237.5 2325.0 DrawSplineSection - 1237.5 2325.0 1275.0 2325.0 1425.0 2362.5 DrawSplineSection - 1425.0 2362.5 1575.0 2400.0 1762.5 2437.5 DrawSplineSection - 1762.5 2437.5 1950.0 2475.0 2137.5 2475.0 DrawSplineSection - 2137.5 2475.0 2325.0 2475.0 2512.5 2475.0 DrawSplineSection - 2512.5 2475.0 2700.0 2475.0 2812.5 2587.5 DrawSplineSection - 2812.5 2587.5 2925.0 2700.0 3000.0 2700.0 DrawSplineSection - 3000.0 2700.0 3075.0 2700.0 3150.0 2700.0 DrawSplineSection - 3150.0 2700.0 3225.0 2700.0 3375.0 2625.0 DrawSplineSection - 3375.0 2625.0 3525.0 2550.0 3487.5 2400.0 DrawSplineSection - 3487.5 2400.0 3450.0 2250.0 3487.5 2137.5 DrawSplineSection - 3487.5 2137.5 3525.0 2025.0 3675.0 1912.5 DrawSplineSection - 3675.0 1912.5 3825.0 1800.0 3862.5 1762.5 DrawSplineSection - 3862.5 1762.5 3900.0 1725.0 3900.0 1537.5 DrawSplineSection - 3900.0 1537.5 3900.0 1350.0 3675.0 1200.0 DrawSplineSection - 3675.0 1200.0 3450.0 1050.0 3375.0 1012.5 DrawSplineSection - 3375.0 1012.5 3300.0 975.0 3075.0 937.5 DrawSplineSection - 3075.0 937.5 2850.0 900.0 2662.5 900.0 DrawSplineSection - 2662.5 900.0 2475.0 900.0 2362.5 900.0 DrawSplineSection - 2362.5 900.0 2250.0 900.0 2175.0 975.0 DrawSplineSection - 2175.0 975.0 2100.0 1050.0 2025.0 1050.0 DrawSplineSection - 2025.0 1050.0 1950.0 1050.0 1912.5 1050.0 DrawSplineSection - 1912.5 1050.0 1875.0 1050.0 1762.5 1087.5 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -% Closed spline -gs n 3270.0 4907.5 m - 3270.0 4907.5 3205.0 4929.0 3140.5 4950.5 DrawSplineSection - 3140.5 4950.5 3076.0 4972.0 2968.5 5058.0 DrawSplineSection - 2968.5 5058.0 2861.0 5144.0 2818.0 5187.0 DrawSplineSection - 2818.0 5187.0 2775.0 5230.0 2775.0 5294.5 DrawSplineSection - 2775.0 5294.5 2775.0 5359.0 2775.0 5402.5 DrawSplineSection - 2775.0 5402.5 2775.0 5446.0 2818.0 5489.0 DrawSplineSection - 2818.0 5489.0 2861.0 5532.0 2904.0 5575.0 DrawSplineSection - 2904.0 5575.0 2947.0 5618.0 2969.0 5618.0 DrawSplineSection - 2969.0 5618.0 2991.0 5618.0 3077.0 5639.5 DrawSplineSection - 3077.0 5639.5 3163.0 5661.0 3270.5 5682.5 DrawSplineSection - 3270.5 5682.5 3378.0 5704.0 3486.0 5704.0 DrawSplineSection - 3486.0 5704.0 3594.0 5704.0 3701.5 5704.0 DrawSplineSection - 3701.5 5704.0 3809.0 5704.0 3874.0 5768.5 DrawSplineSection - 3874.0 5768.5 3939.0 5833.0 3982.0 5833.0 DrawSplineSection - 3982.0 5833.0 4025.0 5833.0 4068.0 5833.0 DrawSplineSection - 4068.0 5833.0 4111.0 5833.0 4197.5 5790.0 DrawSplineSection - 4197.5 5790.0 4284.0 5747.0 4262.5 5661.0 DrawSplineSection - 4262.5 5661.0 4241.0 5575.0 4262.5 5510.5 DrawSplineSection - 4262.5 5510.5 4284.0 5446.0 4370.0 5381.5 DrawSplineSection - 4370.0 5381.5 4456.0 5317.0 4477.5 5295.0 DrawSplineSection - 4477.5 5295.0 4499.0 5273.0 4499.0 5165.5 DrawSplineSection - 4499.0 5165.5 4499.0 5058.0 4370.0 4972.0 DrawSplineSection - 4370.0 4972.0 4241.0 4886.0 4197.5 4864.5 DrawSplineSection - 4197.5 4864.5 4154.0 4843.0 4025.0 4821.5 DrawSplineSection - 4025.0 4821.5 3896.0 4800.0 3788.0 4800.0 DrawSplineSection - 3788.0 4800.0 3680.0 4800.0 3615.5 4800.0 DrawSplineSection - 3615.5 4800.0 3551.0 4800.0 3508.0 4843.0 DrawSplineSection - 3508.0 4843.0 3465.0 4886.0 3421.5 4886.0 DrawSplineSection - 3421.5 4886.0 3378.0 4886.0 3356.5 4886.0 DrawSplineSection - 3356.5 4886.0 3335.0 4886.0 3270.0 4907.5 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -% Closed spline -gs n 7248.5 3162.0 m - 7248.5 3162.0 7161.0 3193.0 7073.0 3221.5 DrawSplineSection - 7073.0 3221.5 6985.0 3250.0 6838.0 3366.5 DrawSplineSection - 6838.0 3366.5 6691.0 3483.0 6635.0 3541.0 DrawSplineSection - 6635.0 3541.0 6579.0 3599.0 6579.0 3687.5 DrawSplineSection - 6579.0 3687.5 6579.0 3776.0 6579.0 3834.0 DrawSplineSection - 6579.0 3834.0 6579.0 3892.0 6635.0 3950.0 DrawSplineSection - 6635.0 3950.0 6691.0 4008.0 6750.5 4066.0 DrawSplineSection - 6750.5 4066.0 6810.0 4124.0 6839.5 4124.0 DrawSplineSection - 6839.5 4124.0 6869.0 4124.0 6986.5 4155.0 DrawSplineSection - 6986.5 4155.0 7104.0 4186.0 7249.0 4214.5 DrawSplineSection - 7249.0 4214.5 7394.0 4243.0 7540.5 4243.0 DrawSplineSection - 7540.5 4243.0 7687.0 4243.0 7833.5 4243.0 DrawSplineSection - 7833.5 4243.0 7980.0 4243.0 8067.0 4330.0 DrawSplineSection - 8067.0 4330.0 8154.0 4417.0 8212.0 4417.0 DrawSplineSection - 8212.0 4417.0 8270.0 4417.0 8328.0 4417.0 DrawSplineSection - 8328.0 4417.0 8386.0 4417.0 8503.5 4359.0 DrawSplineSection - 8503.5 4359.0 8621.0 4301.0 8592.0 4183.5 DrawSplineSection - 8592.0 4183.5 8563.0 4066.0 8592.0 3979.0 DrawSplineSection - 8592.0 3979.0 8621.0 3892.0 8738.5 3805.0 DrawSplineSection - 8738.5 3805.0 8856.0 3718.0 8885.0 3687.0 DrawSplineSection - 8885.0 3687.0 8914.0 3656.0 8914.0 3511.5 DrawSplineSection - 8914.0 3511.5 8914.0 3367.0 8738.5 3249.0 DrawSplineSection - 8738.5 3249.0 8563.0 3131.0 8505.0 3104.0 DrawSplineSection - 8505.0 3104.0 8447.0 3077.0 8271.5 3048.0 DrawSplineSection - 8271.5 3048.0 8096.0 3019.0 7949.5 3019.0 DrawSplineSection - 7949.5 3019.0 7803.0 3019.0 7714.0 3019.0 DrawSplineSection - 7714.0 3019.0 7625.0 3019.0 7567.0 3075.0 DrawSplineSection - 7567.0 3075.0 7509.0 3131.0 7451.5 3131.0 DrawSplineSection - 7451.5 3131.0 7394.0 3131.0 7365.0 3131.0 DrawSplineSection - 7365.0 3131.0 7336.0 3131.0 7248.5 3162.0 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -% Closed spline -gs n 5181.5 7273.5 m - 5181.5 7273.5 5151.0 7284.0 5121.0 7294.0 DrawSplineSection - 5121.0 7294.0 5091.0 7304.0 5040.5 7344.0 DrawSplineSection - 5040.5 7344.0 4990.0 7384.0 4970.5 7404.0 DrawSplineSection - 4970.5 7404.0 4951.0 7424.0 4951.0 7454.5 DrawSplineSection - 4951.0 7454.5 4951.0 7485.0 4951.0 7505.0 DrawSplineSection - 4951.0 7505.0 4951.0 7525.0 4970.5 7545.0 DrawSplineSection - 4970.5 7545.0 4990.0 7565.0 5010.5 7585.0 DrawSplineSection - 5010.5 7585.0 5031.0 7605.0 5041.0 7605.0 DrawSplineSection - 5041.0 7605.0 5051.0 7605.0 5091.5 7615.5 DrawSplineSection - 5091.5 7615.5 5132.0 7626.0 5182.0 7636.0 DrawSplineSection - 5182.0 7636.0 5232.0 7646.0 5282.5 7646.0 DrawSplineSection - 5282.5 7646.0 5333.0 7646.0 5383.5 7646.0 DrawSplineSection - 5383.5 7646.0 5434.0 7646.0 5464.0 7676.0 DrawSplineSection - 5464.0 7676.0 5494.0 7706.0 5514.0 7706.0 DrawSplineSection - 5514.0 7706.0 5534.0 7706.0 5554.0 7706.0 DrawSplineSection - 5554.0 7706.0 5574.0 7706.0 5614.5 7686.0 DrawSplineSection - 5614.5 7686.0 5655.0 7666.0 5645.0 7625.5 DrawSplineSection - 5645.0 7625.5 5635.0 7585.0 5645.0 7555.0 DrawSplineSection - 5645.0 7555.0 5655.0 7525.0 5695.5 7495.0 DrawSplineSection - 5695.5 7495.0 5736.0 7465.0 5746.0 7454.5 DrawSplineSection - 5746.0 7454.5 5756.0 7444.0 5756.0 7394.0 DrawSplineSection - 5756.0 7394.0 5756.0 7344.0 5695.5 7303.5 DrawSplineSection - 5695.5 7303.5 5635.0 7263.0 5615.0 7253.5 DrawSplineSection - 5615.0 7253.5 5595.0 7244.0 5534.5 7234.0 DrawSplineSection - 5534.5 7234.0 5474.0 7224.0 5423.5 7224.0 DrawSplineSection - 5423.5 7224.0 5373.0 7224.0 5342.5 7224.0 DrawSplineSection - 5342.5 7224.0 5312.0 7224.0 5292.0 7243.5 DrawSplineSection - 5292.0 7243.5 5272.0 7263.0 5252.0 7263.0 DrawSplineSection - 5252.0 7263.0 5232.0 7263.0 5222.0 7263.0 DrawSplineSection - 5222.0 7263.0 5212.0 7263.0 5181.5 7273.5 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -% Closed spline -gs n 7727.0 1143.0 m - 7727.0 1143.0 7618.0 1182.0 7508.5 1217.5 DrawSplineSection - 7508.5 1217.5 7399.0 1253.0 7216.0 1398.0 DrawSplineSection - 7216.0 1398.0 7033.0 1543.0 6963.5 1615.0 DrawSplineSection - 6963.5 1615.0 6894.0 1687.0 6894.0 1797.0 DrawSplineSection - 6894.0 1797.0 6894.0 1907.0 6894.0 1979.5 DrawSplineSection - 6894.0 1979.5 6894.0 2052.0 6963.5 2124.0 DrawSplineSection - 6963.5 2124.0 7033.0 2196.0 7107.0 2268.0 DrawSplineSection - 7107.0 2268.0 7181.0 2340.0 7218.0 2340.0 DrawSplineSection - 7218.0 2340.0 7255.0 2340.0 7401.0 2378.5 DrawSplineSection - 7401.0 2378.5 7547.0 2417.0 7727.5 2452.5 DrawSplineSection - 7727.5 2452.5 7908.0 2488.0 8090.5 2488.0 DrawSplineSection - 8090.5 2488.0 8273.0 2488.0 8455.5 2488.0 DrawSplineSection - 8455.5 2488.0 8638.0 2488.0 8746.0 2596.5 DrawSplineSection - 8746.0 2596.5 8854.0 2705.0 8926.5 2705.0 DrawSplineSection - 8926.5 2705.0 8999.0 2705.0 9071.0 2705.0 DrawSplineSection - 9071.0 2705.0 9143.0 2705.0 9289.0 2633.0 DrawSplineSection - 9289.0 2633.0 9435.0 2561.0 9399.0 2414.5 DrawSplineSection - 9399.0 2414.5 9363.0 2268.0 9399.0 2160.0 DrawSplineSection - 9399.0 2160.0 9435.0 2052.0 9581.5 1943.5 DrawSplineSection - 9581.5 1943.5 9728.0 1835.0 9764.0 1796.5 DrawSplineSection - 9764.0 1796.5 9800.0 1758.0 9800.0 1578.0 DrawSplineSection - 9800.0 1578.0 9800.0 1398.0 9581.5 1251.0 DrawSplineSection - 9581.5 1251.0 9363.0 1104.0 9291.0 1070.5 DrawSplineSection - 9291.0 1070.5 9219.0 1037.0 9000.5 1001.0 DrawSplineSection - 9000.5 1001.0 8782.0 965.0 8599.5 965.0 DrawSplineSection - 8599.5 965.0 8417.0 965.0 8306.5 965.0 DrawSplineSection - 8306.5 965.0 8196.0 965.0 8123.5 1034.5 DrawSplineSection - 8123.5 1034.5 8051.0 1104.0 7979.5 1104.0 DrawSplineSection - 7979.5 1104.0 7908.0 1104.0 7872.0 1104.0 DrawSplineSection - 7872.0 1104.0 7836.0 1104.0 7727.0 1143.0 DrawSplineSection closepath gs col7 1.00 shd ef gr gs col-1 s gr - gr - -/Times-Italic ff 240.00 scf sf -2085 1605 m -gs 1 -1 sc (G) col-1 sh gr -/Times-Italic ff 240.00 scf sf -7060 1933 m -gs 1 -1 sc (G) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4245 6615 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2265 1650 m -gs 1 -1 sc (O) col-1 sh gr -/Times-Italic ff 240.00 scf sf -4650 7545 m -gs 1 -1 sc (G) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4830 7590 m -gs 1 -1 sc (4) col-1 sh gr -/Times-Italic ff 240.00 scf sf -4065 6570 m -gs 1 -1 sc (G) col-1 sh gr -15.000 slw -% Interp Spline -gs n 5164 7462 m - 5236.3 7457.9 5267.6 7454.1 5289 7447 curveto - 5313.9 7438.7 5365.7 7414.4 5384 7392 curveto - 5405.1 7366.2 5419.2 7301.3 5424 7272 curveto - 5425.3 7264.2 5425.3 7252.9 5424 7227 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 5364 7417 m - 5396.1 7469.8 5408.6 7493.6 5414 7512 curveto - 5421.5 7537.2 5422.9 7596.8 5424 7622 curveto - 5424.2 7627.1 5424.2 7634.6 5424 7652 curveto - gs col2 s gr - gr - -/Times-Roman ff 150.00 scf sf -3690 5355 m -gs 1 -1 sc (2) col-1 sh gr -% Interp Spline -gs n 5419 7512 m - 5497.0 7511.7 5530.8 7513.0 5554 7517 curveto - 5571.1 7520.0 5594.9 7527.5 5649 7547 curveto - gs col2 s gr - gr - -/Times-Roman ff 150.00 scf sf -2925 3735 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Italic ff 240.00 scf sf -3510 5310 m -gs 1 -1 sc (G) col-1 sh gr -% Interp Spline -gs n 6323 6613 m - 6431.2 6607.1 6477.9 6601.6 6510 6591 curveto - 6547.2 6578.6 6625.9 6547.1 6652 6509 curveto - 6679.7 6468.6 6686.4 6381.0 6679 6337 curveto - 6676.3 6320.9 6666.3 6302.1 6639 6262 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 5069 7327 m - 5126.5 7400.3 5149.0 7434.0 5159 7462 curveto - 5167.3 7485.1 5178.5 7535.4 5169 7562 curveto - 5163.0 7578.8 5148.0 7593.8 5109 7622 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 6697 6441 m - 6822.7 6491.2 6878.2 6510.2 6919 6517 curveto - 6960.8 6523.9 7057.0 6524.9 7099 6517 curveto - 7115.9 6513.8 7138.4 6505.1 7189 6482 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 6704 6688 m - 6821.3 6688.0 6871.9 6689.9 6906 6696 curveto - 6932.3 6700.3 6967.8 6711.6 7049 6741 curveto - gs col2 s gr - gr - -/Times-Roman ff 150.00 scf sf -6204 6752 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Italic ff 240.00 scf sf -6024 6707 m -gs 1 -1 sc (G) col-1 sh gr -/Times-Italic ff 240.00 scf sf -2745 3690 m -gs 1 -1 sc (G) col-1 sh gr -% Interp Spline -gs n 5414 7347 m - 5498.1 7392.1 5535.6 7409.6 5564 7417 curveto - 5595.0 7425.1 5667.3 7429.7 5699 7427 curveto - 5709.9 7426.1 5724.9 7422.3 5759 7412 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 6784 5287 m - 6961.1 5277.3 7037.6 5268.3 7090 5251 curveto - 7143.4 5233.4 7256.4 5188.6 7294 5134 curveto - 7334.0 5076.0 7343.5 4950.1 7333 4887 curveto - 7329.2 4863.9 7314.9 4836.9 7276 4779 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7251 5187 m - 7301.1 5309.2 7320.6 5362.9 7329 5402 curveto - 7338.6 5446.5 7346.2 5551.6 7344 5597 curveto - 7343.3 5612.0 7339.5 5633.3 7329 5682 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7324 5067 m - 7527.1 5118.7 7615.6 5138.2 7678 5145 curveto - 7737.3 5151.4 7875.9 5156.2 7936 5145 curveto - 7960.2 5140.5 7992.4 5128.0 8065 5095 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7334 5437 m - 7519.4 5405.0 7600.6 5396.3 7659 5402 curveto - 7697.4 5405.8 7748.6 5421.8 7864 5466 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 6181 6411 m - 6271.0 6516.2 6304.8 6566.7 6316 6613 curveto - 6325.2 6651.1 6311.1 6727.8 6299 6762 curveto - 6292.5 6780.4 6278.0 6803.2 6241 6853 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 6922 3317 m - 7073.0 3532.6 7130.7 3631.8 7153 3714 curveto - 7170.7 3781.6 7171.5 3929.4 7151 3997 curveto - 7140.1 4034.8 7111.8 4078.7 7038 4173 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7146 3714 m - 7384.9 3700.9 7488.1 3688.7 7559 3665 curveto - 7630.9 3641.6 7783.5 3581.1 7834 3507 curveto - 7888.2 3429.2 7901.0 3259.4 7887 3174 curveto - 7881.7 3143.0 7862.5 3106.6 7810 3028 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7776 3579 m - 7843.8 3743.9 7870.1 3816.4 7881 3869 curveto - 7894.4 3929.2 7904.7 4071.1 7902 4132 curveto - 7900.7 4152.5 7895.7 4181.2 7881 4247 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7875 3417 m - 8146.4 3493.1 8266.0 3519.3 8353 3522 curveto - 8437.3 3524.6 8624.4 3497.7 8704 3467 curveto - 8736.2 3454.6 8776.2 3428.3 8864 3362 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7888 3916 m - 8138.4 3873.2 8248.1 3861.4 8327 3869 curveto - 8378.7 3874.2 8447.8 3895.8 8604 3955 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 6622 6546 m - 6670.2 6625.2 6688.9 6660.8 6697 6688 curveto - 6708.2 6726.2 6710.3 6815.4 6712 6853 curveto - 6712.4 6860.9 6712.4 6872.1 6712 6898 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7321 1336 m - 7508.8 1604.2 7580.6 1727.7 7608 1830 curveto - 7630.4 1914.2 7631.4 2098.2 7606 2182 curveto - 7592.3 2229.4 7557.1 2283.9 7465 2401 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 7600 1830 m - 7896.9 1813.7 8025.4 1798.6 8114 1769 curveto - 8203.1 1739.9 8393.0 1664.6 8456 1572 curveto - 8523.3 1475.5 8539.3 1264.2 8522 1158 curveto - 8515.2 1119.3 8491.3 1074.0 8426 976 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 8384 1662 m - 8468.1 1867.2 8500.8 1957.5 8514 2023 curveto - 8531.1 2097.9 8543.9 2274.4 8541 2350 curveto - 8538.9 2375.8 8532.6 2411.5 8514 2493 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 8507 1460 m - 8844.8 1555.1 8993.5 1587.8 9102 1591 curveto - 9206.7 1594.2 9439.5 1560.8 9539 1523 curveto - 9578.7 1507.2 9628.5 1474.5 9738 1392 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 8523 2081 m - 8834.7 2028.2 8971.2 2013.5 9069 2023 curveto - 9133.7 2029.4 9219.8 2056.3 9414 2130 curveto - gs col2 s gr - gr - -% Interp Spline -gs n 6618 4993 m - 6730.0 5152.6 6772.7 5226.1 6789 5287 curveto - 6802.4 5337.1 6803.0 5446.7 6788 5497 curveto - 6779.7 5524.8 6758.7 5557.3 6704 5627 curveto - gs col2 s gr - gr - -/Times-Roman ff 150.00 scf sf -7240 1978 m -gs 1 -1 sc (O) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6864 3882 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Italic ff 240.00 scf sf -6684 3837 m -gs 1 -1 sc (G) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6609 5442 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Italic ff 240.00 scf sf -6429 5397 m -gs 1 -1 sc (G) col-1 sh gr -7.500 slw -% Arc -gs clippath -3523 7341 m 3649 7416 l 3504 7398 l 3679 7458 l 3699 7402 l cp clip -n 4758.3 4091.7 3505.0 -155.3 108.0 arcn -gs col-1 s gr - gr - -% arrowhead -n 3523 7341 m 3649 7416 l 3504 7398 l 3536 7377 l 3523 7341 l cp gs 0.00 setgray ef gr col-1 s -% Arc -gs clippath -9389 3098 m 9381 2951 l 9447 3083 l 9400 2903 l 9342 2918 l cp clip -n 5725.6 3971.0 3796.4 68.4 -16.0 arcn -gs col-1 s gr - gr - -% arrowhead -n 9389 3098 m 9381 2951 l 9447 3083 l 9412 3067 l 9389 3098 l cp gs 0.00 setgray ef gr col-1 s -/Helvetica-Bold ff 210.00 scf sf -1050 4200 m -gs 1 -1 sc 90.0 rot (Coarsening Phase) dup sw pop 2 div neg 0 rm col4 sh gr -/Helvetica-Bold ff 210.00 scf sf -9750 4200 m -gs 1 -1 sc 270.0 rot (Uncoarsening Phase) dup sw pop 2 div neg 0 rm col4 sh gr -/Helvetica-Bold ff 210.00 scf sf -5400 8025 m -gs 1 -1 sc (Initial Partitioning Phase) dup sw pop 2 div neg 0 rm col4 sh gr -/Helvetica-Bold ff 240.00 scf sf -5400 525 m -gs 1 -1 sc (Multilevel K-way Partitioning) dup sw pop 2 div neg 0 rm col1 sh gr -$F2psEnd -rs - -%%EndDocument - @endspecial 0 3963 a Fx(Figure)43 b(2)p FK(:)108 b Fv(The)34 -b(three)f(phases)h(of)g(m)o(ultile)m(v)m(el)h Fn(k)8 -b Fv(-w)o(a)m(y)33 b(g)o(r)o(aph)g(par)t(titioning.)50 -b(Dur)r(ing)32 b(the)i(coarsening)f(phase)o(,)h(the)g(siz)o(e)h(of)f -(the)g(g)o(r)o(aph)f(is)i(successiv)m(ely)i(decreased.)49 -b(Dur)r(ing)33 b(the)0 4162 y(initial)e(par)t(titioning)e(phase)o(,)g -(a)h Fn(k)8 b Fv(-w)o(a)m(y)30 b(par)t(titioning)g(is)h(computed,)e -(Dur)r(ing)g(the)h(m)o(ultile)m(v)m(el)g(re\002nement)f(\(or)i -(uncoarsening\))e(phase)o(,)g(the)h(par)t(titioning)f(is)i(successiv)m -(ely)i(re\002ned)d(as)g(it)h(is)0 4362 y(projected)e(to)h(the)g(larger) -g(g)o(r)o(aphs)o(.)39 b Fn(G)1594 4390 y Fq(0)1689 4362 -y Fv(is)31 b(the)f(input)g(g)o(r)o(aph,)f(which)g(is)i(the)f(\002nest)h -(g)o(r)o(aph.)39 b Fn(G)3924 4390 y Fl(i)12 b FI(C)p -Fq(1)4150 4362 y Fv(is)31 b(the)f(ne)m(xt)g(le)m(v)m(el)g(coarser)g(g)o -(r)o(aph)f(of)34 b Fn(G)5850 4389 y Fl(i)5900 4362 y -Fv(.)41 b Fn(G)6075 4390 y Fq(4)6170 4362 y Fv(is)31 -b(the)f(coarsest)h(g)o(r)o(aph.)0 4731 y FK(adjacent)50 -b(v)n(ertices)g(of)h(the)g(input)g(graph)g(in)g(order)h(to)f(form)h(a)e -(related)h(coarser)f(graph.)79 b(Computation)52 b(of)f(the)g(initial)g -(partitioning)0 4950 y(is)46 b(performed)g(on)g(the)g(coarsest)f(\(and) -h(hence)f(smallest\))g(of)h(these)g(graphs,)g(and)f(so)h(is)g(v)n(ery)f -(f)n(ast.)64 b(Finally)-11 b(,)48 b(partition)e(re\002nement)g(is)0 -5170 y(performed)54 b(on)f(each)f(le)l(v)n(el)g(graph,)k(from)e(the)f -(coarsest)f(to)h(the)g(\002nest)g(\()p Fs(i.e)o FK(.,)i(original)f -(graph\))f(using)g(a)g(KL/FM-type)h(re\002nement)0 5389 -y(algorithm)42 b([2)q(,)f(9].)51 b(Figure)42 b(2)f(illustrates)h(the)f -(multile)l(v)n(el)g(graph)h(partitioning)g(paradigm.)199 -5608 y(Comparisons)58 b(performed)g(in)h([7])f(ha)m(v)n(e)f(sho)l(wn)g -(that)h(serial)g(multile)l(v)n(el)g Fy(k)10 b FK(-w)n(ay)58 -b(partitioning)h(is)f(o)n(v)n(er)f(50)h(times)g(f)n(aster)g(than)0 -5827 y(multile)l(v)n(el)39 b(spectral)g(bisection)g([12])h(while)g -(producing)f(partitionings)h(that)g(cut)f(10\045)h(to)f(50\045)h(fe)l -(wer)f(edges.)50 b(Our)39 b(e)n(xperiments)g(on)0 6046 -y(a)j(1024-processor)g(Cray)g(T3E)h(ha)m(v)n(e)e(sho)l(wn)h(that)h -FA(P)-7 b(arMETIS)p 3757 6046 50 7 v 61 w(V3)p 4021 6046 -V 59 w(P)g(ar)7 b(tKw)n(a)-5 b(y)43 b FK(can)f(partition)h(a)f -(500-million)h(element)f(3D)g(mesh)0 6265 y(in)g(well)f(under)h(a)f -(minute!)199 6485 y(Recall)d(that)g(we)f(mentioned)i(that)f(if)g(the)g -(graph)g(is)g(well)g(distrib)m(uted)g(among)g(the)g(processors)f -FA(P)-7 b(arMETIS)p 6459 6485 V 61 w(V3)p 6723 6485 V -60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)38 b FK(runs)0 6704 y(f)n(aster)-9 -b(.)79 b(In)51 b(f)n(act,)i(our)e(e)n(xperiments)f(ha)m(v)n(e)f(sho)l -(wn)h(that)h(when)g(we)f(use)g FA(P)-7 b(arMETIS)p 4975 -6704 V 61 w(V3)p 5239 6704 V 60 w(P)g(ar)7 b(tKw)n(a)-5 -b(y)51 b FK(to)g(partition)g(a)g(graph)f(that)h(is)0 -6923 y(distrib)m(uted)57 b(according)f(to)h(the)g(partitioning)h -(produced)f(by)g(an)f(earlier)h(call)g(to)g FA(P)-7 b(arMETIS)p -5596 6923 V 61 w(V3)p 5860 6923 V 60 w(P)g(ar)7 b(tKw)n(a)-5 -b(y)p FK(,)6715 6863 y Fr(2)6847 6923 y FK(the)57 b(amount)g(of)0 -7142 y(time)40 b(required)f(for)h(this)g(second)e(partitioning)j(is)e -(often)g(reduced)g(by)h(a)f(f)n(actor)h(of)g(tw)n(o)g(to)f(four)-9 -b(.)51 b(The)40 b(reason)f(for)h(this)f(has)g(to)g(do)h(with)0 -7361 y(the)f(inter)m(-processor)g(communication)h(pattern)f(of)h -FA(P)-7 b(arMETIS)p 3793 7361 V 61 w(V3)p 4057 7361 V -59 w(P)g(ar)7 b(tKw)n(a)-5 b(y)p FK(.)51 b(If)40 b(the)f(graph)g(is)g -(initially)h(distrib)m(uted)g(randomly)0 7581 y(\()p -Fs(i.e)p FK(.,)51 b(there)f(are)g(man)n(y)g(interf)n(ace)g(v)n -(ertices\),)h(each)e(processor)h(spends)f(a)h(lot)g(of)h(time)f -(communicating)g(information)i(about)e(these)0 7800 y(interf)n(ace)g(v) -n(ertices)f(to)i(man)n(y)e(other)i(processors.)75 b(On)50 -b(the)g(other)h(hand,)g(if)g(the)f(graph)g(is)g(well)g(distrib)m(uted,) -i(the)e(number)g(of)h(inter)m(-)0 8019 y(f)n(ace)c(v)n(ertices)g(is)g -(much)g(smaller)h(\(as)f(is)g(the)h(number)f(of)h(other)g(processors)e -(with)i(whom)g(each)e(processor)h(has)g(to)h(communicate\),)0 -8238 y(reducing)f(the)f(o)n(v)n(erall)g(runtime)h(of)g(the)g -(partitioner)-9 b(.)67 b(Of)47 b(course,)f(this)h(is)f(the)h(chick)n -(en)f(and)h(e)n(gg)f(problem.)67 b(Ho)l(w)46 b(can)g(we)g(initially)0 -8457 y(distrib)m(ute)53 b(the)g(graph)f(nicely)h(without)g(ha)m(ving)g -(\002rst)g(partitioned)g(it?)86 b(W)-13 b(e)52 b(ha)m(v)n(e)f(de)l(v)n -(eloped)h(one)h(such)f(method)h(for)g(partitioning)0 -8676 y(graphs)h(that)g(correspond)f(to)i(\002nite)f(element)g(meshes.) -87 b(This)54 b(is)g(to)g(quickly)g(compute)g(a)g(f)n(airly)h(good)f -(initial)g(partitioning)h(using)0 8896 y(the)d(coordinate)f(v)l(alues)g -(of)h(the)g(mesh.)82 b(W)-13 b(e)51 b(can)g(then)h(redistrib)m(ute)f -(the)h(graph)g(according)g(to)g(this)f(initial)i(partitioning)f(and)g -(then)0 9115 y(call)46 b FA(P)-7 b(arMETIS)p 1054 9115 -V 60 w(V3)p 1317 9115 V 60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)46 -b FK(on)g(the)g(redistrib)m(uted)f(graph.)68 b FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)52 -b FK(pro)n(vides)45 b(the)h FA(P)-7 b(arMETIS)p 6331 -9115 V 61 w(V3)p 6595 9115 V 60 w(P)g(ar)7 b(tGeomKw)n(a)-5 -b(y)0 9334 y FK(routine)59 b(for)g(doing)f(just)h(this.)101 -b(Gi)l(v)n(en)57 b(a)h(graph)h(that)f(is)g(distrib)m(uted)h(among)f -(the)g(processors)f(and)i(the)f(coordinates)g(of)g(the)g(v)n(er)m(-)0 -9553 y(tices,)347 9493 y Fr(3)467 9553 y FA(P)-7 b(arMETIS)p -1235 9553 V 61 w(V3)p 1499 9553 V 60 w(P)g(ar)7 b(tGeomKw)n(a)-5 -b(y)49 b FK(quickly)g(computes)e(an)h(initial)h(partitioning)g(using)f -(a)g(space-\002lling)g(curv)n(e)f(method,)0 9772 y(redistrib)m(utes)53 -b(the)g(graph)g(according)g(to)g(this)g(partitioning,)k(and)c(then)g -(calls)f FA(P)-7 b(arMETIS)p 5371 9772 V 61 w(V3)p 5635 -9772 V 60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)53 b FK(to)h(compute)f(the)g -(\002nal)0 9992 y(high-quality)38 b(partitioning.)50 -b(Our)37 b(e)n(xperiments)f(ha)m(v)n(e)f(sho)l(wn)i(that)g -FA(P)-7 b(arMETIS)p 4721 9992 V 61 w(V3)p 4985 9992 V -59 w(P)g(ar)7 b(tGeomKw)n(a)-5 b(y)38 b FK(is)f(often)g(tw)n(o)g(times) -g(f)n(aster)p 0 10280 3120 7 v 174 10401 a Fq(2)239 10449 -y FF(That)d(is,)g(we)f(\002rst)g(call)h FG(P)-5 b(arMETIS)p -1943 10449 40 7 v 46 w(V3)p 2152 10449 V 47 w(P)g(ar)5 -b(tKw)n(a)l(y)33 b FF(to)h(\002nd)g(a)g(good)h(partitioning)g(of)g(a)e -(graph.)44 b(Ne)n(xt)34 b(we)f(mo)n(v)n(e)i(the)f(v)n(ertices)f(of)i -(the)e(graph)i(according)h(to)e(the)0 10607 y(computed)h(partitioning,) -g(and)f(then)g(call)f FG(P)-5 b(arMETIS)p 2572 10607 -V 47 w(V3)p 2782 10607 V 47 w(P)g(ar)5 b(tKw)n(a)l(y)32 -b FF(to)i(partition)g(this)g(same,)f(b)m(ut)h(ne)m(wly)g(distrib)m -(uted,)h(graph.)174 10731 y Fq(3)239 10779 y FG(P)-5 -b(arMETIS)p 856 10779 V 46 w(V3)p 1065 10779 V 48 w(P)g(ar)5 -b(tGeomKw)n(a)l(y)32 b FF(requires)i(the)f(coordinates)i(of)f(the)f -(centers)h(of)g(each)f(element.)3858 11298 y FK(6)p eop -%%Page: 7 7 -7 6 bop 0 166 a FK(than)41 b FA(P)-7 b(arMETIS)p 1095 -166 50 7 v 61 w(V3)p 1359 166 V 60 w(P)g(ar)7 b(tKw)n(a)-5 -b(y)p FK(,)41 b(and)h(achie)l(v)n(es)d(identical)i(partition)i(quality) --11 b(.)203 385 y FA(P)h FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)39 b FK(also)32 b(pro)n(vides)f(the)h -FA(P)-7 b(arMETIS)p 2847 385 V 61 w(P)g(ar)7 b(tGeom)34 -b FK(function)f(for)f(partitioning)i(unstructured)e(graphs)g(when)g -(coordinates)0 604 y(for)53 b(the)f(v)n(ertices)f(are)h(a)m(v)l -(ailable.)82 b FA(P)-7 b(arMETIS)p 2807 604 V 61 w(P)g(ar)7 -b(tGeom)54 b FK(computes)e(a)g(partitioning)h(based)f(only)g(on)g(the)h -(space-\002lling)f(curv)n(e)0 824 y(method.)f(Therefore,)41 -b(it)g(is)g(e)n(xtremely)f(f)n(ast)h(\(often)h(5)f(to)g(10)g(times)g(f) -n(aster)g(than)g FA(P)-7 b(arMETIS)p 5437 824 V 60 w(P)g(ar)7 -b(tGeomKw)n(a)-5 b(y)p FK(\),)42 b(b)m(ut)f(it)h(computes)0 -1043 y(poor)k(quality)g(partitionings)g(\(it)g(may)g(cut)f(2)h(to)g(10) -f(times)h(more)g(edges)e(than)i FA(P)-7 b(arMETIS)p 5346 -1043 V 61 w(P)g(ar)7 b(tGeomKw)n(a)-5 b(y)p FK(\).)65 -b(This)46 b(routine)g(can)0 1262 y(be)53 b(useful)h(for)g(certain)f -(computations)h(in)g(which)f(the)g(use)g(of)h(space-\002lling)g(curv)n -(es)e(is)i(the)f(appropriate)h(partitioning)g(technique)0 -1481 y(\()p Fs(e)n(.g)o FK(.,)41 b Fy(n)7 b FK(-body)42 -b(computations\).)0 1936 y Ft(3.2)199 b(P)-6 b(ar)t(titioning)56 -b(Meshes)e(Directl)m(y)4 2255 y FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(,)69 b(V)-18 -b(ersion)67 b(3.0)g(also)g(pro)n(vides)f(ne)l(w)h(routines)h(that)f -(support)h(the)f(computation)g(of)h(partitionings)g(and)f(repartition-) -0 2474 y(ings)57 b(gi)l(v)n(en)g Fs(meshes)g FK(\(and)g(not)h(graphs\)) -g(as)f(inputs.)99 b(In)58 b(particular)-7 b(,)62 b FA(P)-7 -b(arMETIS)p 4910 2474 V 61 w(V3)p 5174 2474 V 60 w(P)g(ar)7 -b(tMeshKw)n(a)-5 b(y)58 b FK(tak)n(e)g(a)f(mesh)h(as)f(input)0 -2693 y(and)71 b(computes)g(a)g(partitioning)i(of)e(the)h(mesh)f -(elements.)140 b(Internally)-11 b(,)79 b FA(P)-7 b(arMETIS)p -5213 2693 V 61 w(V3)p 5477 2693 V 60 w(P)g(ar)7 b(tMeshKw)n(a)-5 -b(y)72 b FK(uses)f(a)g(mesh-to-)0 2912 y(graph)56 b(routine)h(and)e -(then)h(calls)g(the)g(same)f(core)h(partitioning)g(routine)h(that)f(is) -g(used)f(by)h(both)g FA(P)-7 b(arMETIS)p 6487 2912 V -61 w(V3)p 6751 2912 V 60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)56 -b FK(and)0 3132 y FA(P)-7 b(arMETIS)p 768 3132 V 61 w(V3)p -1032 3132 V 60 w(P)g(ar)7 b(tGeomKw)n(a)-5 b(y)p FK(.)203 -3351 y FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)65 b FK(pro)n(vides)57 b(no)h(such)f(routines)h(for)h -(computing)f(adapti)l(v)n(e)f(repartitionings)i(directly)f(from)h -(meshes.)99 b(Ho)l(we)l(v)n(er)-7 b(,)61 b(it)0 3570 -y(does)h(pro)n(vide)h(the)g(routine)g FA(P)-7 b(arMETIS)p -2502 3570 V 61 w(V3)p 2766 3570 V 60 w(Mesh2Dual)64 b -FK(for)g(constructing)f(a)f(dual)h(graph)g(gi)l(v)n(en)f(a)h(mesh,)k -(quickly)c(and)g(in)0 3789 y(parallel.)133 b(Since)68 -b(the)h(construction)f(of)h(the)g(dual)g(graph)g(is)f(in)h(parallel,)75 -b(it)69 b(can)f(be)h(used)f(to)g(construct)h(the)g(input)g(graph)f(for) -0 4008 y FA(P)-7 b(arMETIS)p 768 4008 V 61 w(V3)p 1032 -4008 V 60 w(Adaptiv)l(eRepar)7 b(t)p FK(.)199 4228 y(Essentially)-11 -b(,)50 b(both)e FA(P)-7 b(arMETIS)p 2120 4228 V 61 w(V3)p -2384 4228 V 60 w(P)g(ar)7 b(tMeshKw)n(a)-5 b(y)49 b FK(and)f -FA(P)-7 b(arMETIS)p 4647 4228 V 61 w(V3)p 4911 4228 V -60 w(Mesh2Dual)50 b FK(tak)n(e)e(the)g(b)m(urden)g(of)g(writing)h(an)0 -4447 y(ef)l(\002cient)j(mesh-to-graph)g(routine)g(from)g(the)g(user)-9 -b(.)81 b(Our)52 b(e)n(xperiments)f(ha)m(v)n(e)f(sho)l(wn)h(that)h(this) -g(routine)g(typically)g(runs)f(in)h(about)0 4666 y(half)42 -b(the)f(time)h(that)f(it)h(tak)n(es)f(for)46 b FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)48 -b FK(to)42 b(compute)f(a)h(partitioning.)0 5121 y Ft(3.3)199 -b(P)-6 b(ar)t(titioning)56 b(Adaptivel)m(y)f(Re\002ned)f(Meshes)0 -5440 y FK(F)n(or)35 b(lar)m(ge-scale)e(scienti\002c)h(simulations,)i -(the)e(computational)h(requirements)f(of)h(techniques)e(relying)i(on)g -(globally)g(re\002ned)f(meshes)0 5659 y(become)42 b(v)n(ery)g(high,)g -(especially)f(as)h(the)g(comple)n(xity)g(and)g(size)g(of)g(the)g -(problems)h(increase.)52 b(By)42 b(locally)g(re\002ning)h(and)f -(de-re\002ning)0 5878 y(the)55 b(mesh)h(either)f(to)h(capture)f(\003o)l -(w-\002eld)h(phenomena)g(of)f(interest)h([1])g(or)g(to)g(account)f(for) -h(v)l(ariations)f(in)h(errors)g([11],)j(adapti)l(v)n(e)0 -6097 y(methods)38 b(mak)n(e)g(standard)g(computational)g(methods)g -(more)g(cost)g(ef)l(fecti)l(v)n(e.)49 b(The)38 b(ef)l(\002cient)h(e)n -(x)n(ecution)d(of)j(such)e(adapti)l(v)n(e)g(scienti\002c)0 -6316 y(simulations)59 b(on)h(parallel)g(computers)f(requires)h(a)f -(periodic)h(repartitioning)h(of)f(the)f(underlying)i(computational)e -(mesh.)105 b(These)0 6536 y(repartitionings)39 b(should)f(minimize)g -(both)h(the)f(inter)m(-processor)g(communications)g(incurred)g(in)h -(the)f(iterati)l(v)n(e)g(mesh-based)f(compu-)0 6755 y(tation)j(and)f -(the)g(data)g(redistrib)m(ution)h(costs)e(required)i(to)f(balance)g -(the)g(load.)50 b(Hence,)38 b(adapti)l(v)n(e)h(repartitioning)h(is)f(a) -g(multi-objecti)l(v)n(e)0 6974 y(optimization)i(problem.)55 -b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)46 b FK(pro)n(vides)40 b(the)g(routine)g -FA(P)-7 b(arMETIS)p 4408 6974 V 61 w(V3)p 4672 6974 V -60 w(Adaptiv)l(eRepar)7 b(t)42 b FK(for)f(repartitioning)g(such)e -(adap-)0 7193 y(ti)l(v)n(ely)50 b(re\002ned)g(meshes.)76 -b(This)50 b(routine)h(assumes)d(that)j(the)f(mesh)f(is)h(well)g -(distrib)m(uted)g(among)h(the)f(processors,)g(b)m(ut)g(that)h(\(due)f -(to)0 7412 y(mesh)41 b(re\002nement)h(and)f(de-re\002nement\))h(this)f -(distrib)m(ution)h(is)g(poorly)g(load)f(balanced.)199 -7631 y(Repartitioning)53 b(algorithms)f(f)n(all)h(into)g(tw)n(o)f -(general)g(cate)n(gories.)81 b(The)53 b(\002rst)f(cate)n(gory)f -(balances)g(the)h(computation)h(by)f(incre-)0 7851 y(mentally)i(dif)l -(fusing)g(load)g(from)g(those)g(sub-domains)f(that)h(ha)m(v)n(e)e(more) -i(w)n(ork)h(to)e(adjacent)g(sub-domains)h(that)g(ha)m(v)n(e)e(less)h(w) -n(ork.)0 8070 y(These)43 b(schemes)g(are)g(referred)h(to)g(as)g -Fk(dif)m(fusiv)n(e)f(sc)n(hemes)p FK(.)57 b(The)44 b(second)f(cate)n -(gory)g(balances)g(the)g(load)h(by)g(computing)g(an)g(entirely)0 -8289 y(ne)l(w)k(partitioning,)i(and)e(then)h(intelligently)g(mapping)f -(the)g(sub-domains)g(of)h(the)f(ne)l(w)g(partitioning)h(to)g(the)f -(processors)f(such)h(that)0 8508 y(the)57 b(redistrib)m(ution)h(cost)f -(is)g(minimized.)99 b(These)57 b(schemes)f(are)i(generally)f(referred)h -(to)f(as)g Fk(remapping)g(sc)n(hemes)p FK(.)98 b(Remapping)0 -8727 y(schemes)47 b(typically)h(lead)f(to)h(repartitionings)h(that)f -(ha)m(v)n(e)f(smaller)g(edge-cuts,)i(while)f(dif)l(fusi)l(v)n(e)f -(schemes)g(lead)g(to)h(repartitionings)0 8946 y(that)55 -b(incur)f(smaller)h(redistrib)m(ution)g(costs.)89 b(Ho)l(we)l(v)n(er)-7 -b(,)56 b(since)e(these)f(results)h(can)g(v)l(ary)h(signi\002cantly)f -(among)h(dif)l(ferent)g(types)f(of)0 9166 y(applications,)41 -b(it)g(can)g(be)h(dif)l(\002cult)g(to)f(select)g(the)g(best)g -(repartitioning)i(scheme)d(for)i(the)g(job)-7 b(.)199 -9385 y(Recently)c(,)43 b(we)f(de)l(v)n(eloped)g(a)g(Uni\002ed)h -(Repartitioning)h(Algorithm)g([15])f(for)h(adapti)l(v)n(e)d -(repartitioning)j(that)f(combines)g(the)g(best)0 9604 -y(characteristics)60 b(of)i(remapping)g(and)f(dif)l(fusion-based)g -(repartitioning)i(schemes.)109 b(A)62 b(k)n(e)n(y)f(parameter)g(used)g -(by)h(this)f(algorithm)0 9823 y(is)54 b(the)g Fk(ITR)f(F)-16 -b(actor)p FK(.)88 b(This)54 b(parameter)g(describes)f(the)g(ratio)i -(between)e(the)h(time)g(required)g(for)h(performing)g(the)e(inter)m -(-processor)0 10042 y(communications)36 b(incurred)h(during)f(parallel) -h(processing)e(compared)h(to)g(the)h(time)f(to)h(perform)g(the)f(data)g -(redistrib)m(ution)h(associated)0 10262 y(with)e(balancing)g(the)g -(load.)48 b(As)35 b(such,)g(it)g(allo)l(ws)g(us)f(to)i(compute)f(a)f -(single)h(metric)g(that)g(describes)f(the)h(quality)g(of)h(the)f -(repartitioning,)0 10481 y(e)l(v)n(en)40 b(though)i(adapti)l(v)n(e)f -(repartitioning)h(is)f(a)g(multi-objecti)l(v)n(e)h(optimization)g -(problem.)199 10700 y FA(P)-7 b(arMETIS)p 967 10700 V -61 w(V3)p 1231 10700 V 60 w(Adaptiv)l(eRepar)7 b(t)52 -b FK(is)f(a)f(parallel)h(implementation)g(of)g(the)f(Uni\002ed)h -(Repartitioning)g(Algorithm.)79 b(This)51 b(is)f(a)3858 -11298 y(7)p eop -%%Page: 8 8 -8 7 bop 0 166 a FK(multile)l(v)n(el)31 b(partitioning)i(algorithm,)h -(and)d(so,)i(is)e(in)h(nature)f(similar)h(to)g(the)f(the)h(algorithm)g -(implemented)f(in)h FA(P)-7 b(arMETIS)p 7096 166 50 7 -v 61 w(V3)p 7360 166 V 60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)p -FK(.)0 385 y(Ho)l(we)l(v)n(er)e(,)40 b(this)h(routine)h(uses)e(a)g -(technique)h(kno)l(wn)g(as)g Fs(local)g(coar)n(sening)p -FK(.)50 b(Here,)40 b(only)i(v)n(ertices)e(that)h(ha)m(v)n(e)f(been)h -(distrib)m(uted)g(onto)0 604 y(the)f(same)g(processor)g(are)g -(coarsened)g(together)-9 b(.)50 b(On)41 b(the)f(coarsest)f(graph,)i(an) -f(initial)h(partitioning)g(need)f(not)h(be)f(computed,)g(as)g(one)0 -824 y(can)45 b(either)g(be)g(deri)l(v)n(ed)f(from)i(the)g(initial)f -(graph)h(distrib)m(ution)f(\(in)h(the)f(case)f(when)h(sub-domains)g -(are)g(coupled)g(to)g(processors\),)g(or)0 1043 y(else)k(one)h(needs)f -(to)i(be)f(supplied)g(as)f(an)h(input)g(to)h(the)f(routine)g(\(in)h -(the)f(case)f(when)h(sub-domains)g(are)g(de-coupled)f(from)i(proces-)0 -1262 y(sors\).)74 b(Ho)l(we)l(v)n(er)-7 b(,)49 b(this)g(partitioning)h -(does)f(need)f(to)i(be)e(balanced.)73 b(The)50 b(balancing)e(phase)g -(is)h(performed)h(on)f(the)g(coarsest)f(graph)0 1481 -y(twice)42 b(by)g(alternati)l(v)n(e)g(methods.)53 b(That)43 -b(is,)f(optimized)g(v)l(ariants)g(of)h(remapping)f(and)g(dif)l(fusion)h -(algorithms)g([16])g(are)f(both)g(used)g(to)0 1700 y(compute)48 -b(ne)l(w)f(partitionings.)71 b(A)48 b(quality)g(metric)g(for)h(each)e -(of)h(these)g(partitionings)g(is)g(then)g(computed)g(\(using)g(the)g -(ITR)g(F)n(actor\))0 1919 y(and)d(the)f(partitioning)i(with)f(the)g -(highest)f(quality)h(is)g(selected.)60 b(This)45 b(technique)f(tends)g -(to)h(gi)l(v)n(e)g(v)n(ery)f(good)h(points)g(from)g(which)g(to)0 -2139 y(start)i(multile)l(v)n(el)g(re\002nement,)h(re)n(g)o(ardless)e -(of)i(the)f(type)g(of)g(repartitioning)h(problem)g(or)g(the)f(v)l(alue) -f(of)i(the)f(ITR)g(F)n(actor)-9 b(.)68 b(Note)47 b(that)0 -2358 y(the)h(f)n(act)g(that)g(the)g(algorithm)h(computes)e(tw)n(o)h -(initial)h(partitionings)f(does)g(not)g(impact)g(its)g(scalability)f -(as)g(long)i(as)e(the)h(size)f(of)h(the)0 2577 y(coarsest)35 -b(graph)i(is)f(suitably)g(small)g([8].)50 b(Finally)-11 -b(,)38 b(multile)l(v)n(el)e(re\002nement)g(is)g(performed)h(on)g(the)f -(balanced)f(partitioning)j(in)e(order)h(to)0 2796 y(further)i(impro)n -(v)n(e)e(its)h(quality)-11 b(.)51 b(Since)38 b FA(P)-7 -b(arMETIS)p 2989 2796 V 61 w(V3)p 3253 2796 V 59 w(Adaptiv)l(eRepar)7 -b(t)40 b FK(starts)e(from)h(a)f(graph)g(that)g(is)g(already)f(well)h -(distrib)m(uted,)0 3015 y(it)i(is)f(e)n(xtremely)g(f)n(ast.)50 -b(Experiments)40 b(on)g(a)f(1024-processor)g(Cray)h(T3E)g(sho)l(w)f -(that)g FA(P)-7 b(arMETIS)p 5704 3015 V 61 w(V3)p 5968 -3015 V 60 w(Adaptiv)l(eRepar)7 b(t)41 b FK(is)f(able)f(to)0 -3235 y(compute)i(partitionings)h(for)g(a)g(billion-element)g(mesh)f(in) -h(under)f(a)g(minute.)199 3454 y(Appropriate)i(v)l(alues)e(to)i(pass)e -(for)i(the)f(ITR)h(F)n(actor)f(parameter)g(can)f(easily)h(be)g -(determined)g(depending)g(on)h(the)f(times)g(required)0 -3673 y(to)59 b(perform)g(\(i\))h(all)e(inter)m(-processor)h -(communications)f(that)h(ha)m(v)n(e)e(occurred)i(since)f(the)g(last)g -(repartitioning,)64 b(and)58 b(\(ii\))i(the)e(data)0 -3892 y(redistrib)m(ution)45 b(associated)d(with)j(the)f(last)f -(repartitioning/load)j(balancing)d(phase.)58 b(Simply)45 -b(di)l(vide)f(the)g(\002rst)h(time)f(by)g(the)g(second.)0 -4111 y(The)53 b(result)f(is)g(the)h(correct)f(ITR)h(F)n(actor)-9 -b(.)84 b(In)53 b(case)e(these)h(times)g(cannot)g(be)h(ascertained)e(\() -p Fs(e)n(.g)o FK(.,)k(for)e(the)f(\002rst)h(repartitioning/load)0 -4330 y(balancing)39 b(phase\),)f(our)h(e)n(xperiments)f(ha)m(v)n(e)g -(sho)l(wn)g(that)i(v)l(alues)e(between)g(100)h(and)g(1000)g(w)n(ork)g -(well)g(for)h(a)f(v)l(ariety)g(of)g(situations.)199 4550 -y FA(P)-7 b(arMETIS)p 967 4550 V 61 w(V3)p 1231 4550 -V 60 w(Adaptiv)l(eRepar)7 b(t)50 b FK(can)d(be)g(used)g(to)h(load)g -(balance)f(the)g(mesh)h(either)f(before)h(or)g(after)g(mesh)f -(adaptation.)70 b(In)0 4769 y(the)41 b(latter)f(case,)g(each)f -(processor)h(\002rst)h(locally)g(adapts)f(its)h(mesh,)e(leading)i(to)g -(dif)l(ferent)g(processors)f(ha)m(ving)g(dif)l(ferent)h(numbers)g(of)0 -4988 y(elements.)58 b FA(P)-7 b(arMETIS)p 1459 4988 V -61 w(V3)p 1723 4988 V 60 w(Adaptiv)l(eRepar)7 b(t)46 -b FK(can)d(then)h(compute)g(a)g(partitioning)h(in)g(which)f(the)g(load) -g(is)f(balanced.)58 b(Ho)l(we)l(v)n(er)-7 b(,)0 5207 -y(load)55 b(balancing)g(can)g(also)g(be)g(done)g(before)h(adaptation)f -(if)h(the)f(de)n(gree)f(of)i(re\002nement)g(for)g(each)e(element)h(can) -g(be)g(estimated)g Fs(a)0 5426 y(priori)p FK(.)70 b(That)49 -b(is,)g(if)f(we)g(kno)l(w)g(ahead)f(of)h(time)g(into)h(ho)l(w)f(man)n -(y)f(ne)l(w)h(elements)f(each)g(old)i(element)e(will)i(subdi)l(vide,)f -(we)g(can)g(use)0 5646 y(these)j(estimations)f(as)h(the)g(weights)g(of) -h(the)f(v)n(ertices)f(for)i(the)f(graph)g(that)h(corresponds)e(to)i -(the)f(dual)g(of)h(the)f(mesh.)80 b(In)52 b(this)f(case,)0 -5865 y(the)45 b(mesh)g(can)f(be)h(redistrib)m(uted)g(before)g(adaption) -g(tak)n(es)g(place.)61 b(This)45 b(technique)g(can)f(signi\002cantly)h -(reduce)g(data)g(redistrib)m(ution)0 6084 y(times)c([10)q(].)0 -6539 y Ft(3.4)199 b(P)-6 b(ar)t(tition)56 b(Re\002nement)0 -6858 y FA(P)-7 b(arMETIS)p 768 6858 V 61 w(V3)p 1032 -6858 V 60 w(Re\002neKw)n(a)i(y)44 b FK(is)g(the)f(routine)i(pro)n -(vided)e(by)48 b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)50 b FK(to)44 b(impro)n(v)n(e)g(the)g(quality)g -(of)g(an)f(e)n(xisting)h(partitioning.)0 7077 y(Once)51 -b(a)g(graph)h(is)f(partitioned)i(and)e(it)h(has)f(been)g(redistrib)m -(uted)h(accordingly)-11 b(,)53 b FA(P)-7 b(arMETIS)p -5488 7077 V 61 w(V3)p 5752 7077 V 60 w(Re\002neKw)n(a)i(y)52 -b FK(can)f(be)h(called)f(to)0 7296 y(compute)37 b(a)g(ne)l(w)f -(partitioning)i(that)f(further)h(impro)n(v)n(es)e(the)h(quality)-11 -b(.)50 b(Thus,)38 b(lik)n(e)f FA(P)-7 b(arMETIS)p 5512 -7296 V 61 w(V3)p 5776 7296 V 60 w(Adaptiv)l(eRepar)7 -b(t)p FK(,)40 b(this)d(routine)0 7515 y(assumes)j(that)h(the)h(graph)g -(is)f(already)g(well)g(distrib)m(uted)h(among)f(the)h(processors.)199 -7734 y FA(P)-7 b(arMETIS)p 967 7734 V 61 w(V3)p 1231 -7734 V 60 w(Re\002neKw)n(a)i(y)53 b FK(can)f(be)g(used)g(to)h(impro)n -(v)n(e)f(the)g(quality)h(of)g(partitionings)g(that)g(are)f(produced)h -(by)f(other)h(par)m(-)0 7954 y(titioning)71 b(algorithms)f(\(such)g(as) -f(the)h(technique)g(discussed)e(in)j(Section)f(3.1)f(that)h(is)g(used)g -(in)g FA(P)-7 b(arMETIS)p 6633 7954 V 61 w(V3)p 6897 -7954 V 60 w(P)g(ar)7 b(tGeom)p FK(\).)0 8173 y FA(P)-7 -b(arMETIS)p 768 8173 V 61 w(V3)p 1032 8173 V 60 w(Re\002neKw)n(a)i(y)44 -b FK(can)f(also)h(be)f(used)g(repeatedly)h(to)g(further)h(impro)n(v)n -(e)e(the)h(quality)g(of)g(a)g(partitioning.)58 b(That)45 -b(is,)e(we)0 8392 y(can)135 b(call)h FA(P)-7 b(arMETIS)p -1510 8392 V 61 w(V3)p 1774 8392 V 60 w(Re\002neKw)n(a)i(y)p -FK(,)159 b(mo)n(v)n(e)135 b(the)h(graph)g(according)g(to)g(the)g -(partitioning,)160 b(and)135 b(then)h(call)0 8611 y FA(P)-7 -b(arMETIS)p 768 8611 V 61 w(V3)p 1032 8611 V 60 w(Re\002neKw)n(a)i(y)46 -b FK(ag)o(ain.)65 b(Ho)l(we)l(v)n(er)-7 b(,)46 b(each)g(successi)l(v)n -(e)d(call)j(to)h FA(P)-7 b(arMETIS)p 5473 8611 V 61 w(V3)p -5737 8611 V 60 w(Re\002neKw)n(a)i(y)46 b FK(will)h(tend)f(to)g(pro-)0 -8830 y(duce)41 b(smaller)g(impro)n(v)n(ements)g(in)h(quality)-11 -b(.)199 9049 y(Lik)n(e)54 b FA(P)-7 b(arMETIS)p 1323 -9049 V 61 w(V3)p 1587 9049 V 60 w(Adaptiv)l(eRepar)7 -b(t)p FK(,)58 b FA(P)-7 b(arMETIS)p 3650 9049 V 61 w(V3)p -3914 9049 V 60 w(Re\002neKw)n(a)i(y)53 b FK(performs)h(local)g -(coarsening.)86 b(These)53 b(tw)n(o)g(rou-)0 9269 y(tines)g(also)f(use) -h(the)g(same)f(re\002nement)h(algorithm.)86 b(The)54 -b(dif)l(ference)f(is)f(that)h FA(P)-7 b(arMETIS)p 5415 -9269 V 61 w(V3)p 5679 9269 V 60 w(Re\002neKw)n(a)i(y)54 -b FK(does)e(not)h(initially)0 9488 y(balance)d(the)g(partitioning)h(on) -g(the)f(coarsest)f(graph,)j(as)e FA(P)-7 b(arMETIS)p -4120 9488 V 61 w(V3)p 4384 9488 V 60 w(Adaptiv)l(eRepar)7 -b(t)52 b FK(does.)77 b(Instead,)52 b(the)e(assumption)g(is)0 -9707 y(that)57 b(the)g(graph)g(is)g(well)g(distrib)m(uted)g(and)g(the)g -(initial)g(partitioning)h(is)f(balanced.)96 b(Since)57 -b FA(P)-7 b(arMETIS)p 6200 9707 V 61 w(V3)p 6464 9707 -V 60 w(Re\002neKw)n(a)i(y)57 b FK(starts)0 9926 y(from)42 -b(a)g(graph)f(that)h(is)f(well)g(distrib)m(uted,)g(it)h(is)g(v)n(ery)f -(f)n(ast.)3858 11298 y(8)p eop -%%Page: 9 9 -9 8 bop 1500 2836 a @beginspecial 0 @llx 0 @lly 704 @urx -416 @ury 2880 @rwi @setspecial -%%BeginDocument: figures/multiphase.eps -%!PS-Adobe-2.0 EPSF-2.0 -%%Title: multiphase.eps -%%Creator: fig2dev Version 3.2 Patchlevel 1 -%%CreationDate: Thu Feb 15 08:49:41 2001 -%%For: [email protected] (Kirk Schloegel) -%%Orientation: Portrait -%%BoundingBox: 0 0 704 416 -%%Pages: 0 -%%BeginSetup -%%EndSetup -%%Magnification: 1.0000 -%%EndComments -/$F2psDict 200 dict def -$F2psDict begin -$F2psDict /mtrx matrix put -/col-1 {0 setgray} bind def -/col0 {0.000 0.000 0.000 srgb} bind def -/col1 {0.000 0.000 1.000 srgb} bind def -/col2 {0.000 1.000 0.000 srgb} bind def -/col3 {0.000 1.000 1.000 srgb} bind def -/col4 {1.000 0.000 0.000 srgb} bind def -/col5 {1.000 0.000 1.000 srgb} bind def -/col6 {1.000 1.000 0.000 srgb} bind def -/col7 {1.000 1.000 1.000 srgb} bind def -/col8 {0.000 0.000 0.560 srgb} bind def -/col9 {0.000 0.000 0.690 srgb} bind def -/col10 {0.000 0.000 0.820 srgb} bind def -/col11 {0.530 0.810 1.000 srgb} bind def -/col12 {0.000 0.560 0.000 srgb} bind def -/col13 {0.000 0.690 0.000 srgb} bind def -/col14 {0.000 0.820 0.000 srgb} bind def -/col15 {0.000 0.560 0.560 srgb} bind def -/col16 {0.000 0.690 0.690 srgb} bind def -/col17 {0.000 0.820 0.820 srgb} bind def -/col18 {0.560 0.000 0.000 srgb} bind def -/col19 {0.690 0.000 0.000 srgb} bind def -/col20 {0.820 0.000 0.000 srgb} bind def -/col21 {0.560 0.000 0.560 srgb} bind def -/col22 {0.690 0.000 0.690 srgb} bind def -/col23 {0.820 0.000 0.820 srgb} bind def -/col24 {0.500 0.190 0.000 srgb} bind def -/col25 {0.630 0.250 0.000 srgb} bind def -/col26 {0.750 0.380 0.000 srgb} bind def -/col27 {1.000 0.500 0.500 srgb} bind def -/col28 {1.000 0.630 0.630 srgb} bind def -/col29 {1.000 0.750 0.750 srgb} bind def -/col30 {1.000 0.880 0.880 srgb} bind def -/col31 {1.000 0.840 0.000 srgb} bind def - -end -save --53.0 469.0 translate -1 -1 scale - -/cp {closepath} bind def -/ef {eofill} bind def -/gr {grestore} bind def -/gs {gsave} bind def -/sa {save} bind def -/rs {restore} bind def -/l {lineto} bind def -/m {moveto} bind def -/rm {rmoveto} bind def -/n {newpath} bind def -/s {stroke} bind def -/sh {show} bind def -/slc {setlinecap} bind def -/slj {setlinejoin} bind def -/slw {setlinewidth} bind def -/srgb {setrgbcolor} bind def -/rot {rotate} bind def -/sc {scale} bind def -/sd {setdash} bind def -/ff {findfont} bind def -/sf {setfont} bind def -/scf {scalefont} bind def -/sw {stringwidth} bind def -/tr {translate} bind def -/tnt {dup dup currentrgbcolor - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} - bind def -/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul - 4 -2 roll mul srgb} bind def - /DrawEllipse { - /endangle exch def - /startangle exch def - /yrad exch def - /xrad exch def - /y exch def - /x exch def - /savematrix mtrx currentmatrix def - x y tr xrad yrad sc 0 0 1 startangle endangle arc - closepath - savematrix setmatrix - } def - -/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def -/$F2psEnd {$F2psEnteredState restore end} def -%%EndProlog - -$F2psBegin -10 setmiterlimit -n -1000 8812 m -1000 -1000 l 13612 -1000 l 13612 8812 l cp clip - 0.06000 0.06000 sc -% Polyline -7.500 slw -n 1650 3150 m 2100 2400 l gs col0 s gr -% Polyline -n 2100 2400 m 3300 2100 l gs col0 s gr -% Polyline -n 3300 2100 m 4500 2100 l gs col0 s gr -% Polyline -n 4500 2100 m 5400 3000 l gs col0 s gr -% Polyline -n 5400 3000 m 5700 4200 l gs col0 s gr -% Polyline -n 5700 4200 m 5100 5400 l gs col0 s gr -% Polyline -n 5100 5400 m 3900 5700 l gs col0 s gr -% Polyline -n 3900 5700 m 2700 5700 l gs col0 s gr -% Polyline -n 2700 5700 m 1800 5100 l gs col0 s gr -% Polyline -n 1800 5100 m 2400 3900 l gs col0 s gr -% Polyline -n 2400 3900 m 3525 3300 l gs col0 s gr -% Polyline -n 3525 3300 m 4200 4200 l gs col0 s gr -% Polyline -n 4200 4200 m 3300 4800 l gs col0 s gr -% Polyline -n 3300 4800 m 3300 3900 l gs col0 s gr -% Polyline -n 3300 3900 m 4200 4200 l gs col0 s gr -% Polyline -n 3300 3900 m 3525 3300 l gs col0 s gr -% Polyline -n 3300 4800 m 2700 5700 l gs col0 s gr -% Polyline -n 3300 4800 m 3900 5700 l gs col0 s gr -% Polyline -n 5100 5400 m 4200 4200 l gs col0 s gr -% Polyline -n 4200 4200 m 5700 4200 l gs col0 s gr -% Polyline -n 3900 5700 m 4200 4200 l gs col0 s gr -% Polyline -n 4200 4200 m 5400 3000 l gs col0 s gr -% Polyline -n 3525 3300 m 4500 2100 l gs col0 s gr -% Polyline -n 3525 3300 m 3300 2100 l gs col0 s gr -% Polyline -n 2400 3900 m 1650 3150 l gs col0 s gr -% Polyline -n 2400 3900 m 2100 2400 l gs col0 s gr -% Polyline -n 2100 2400 m 3525 3300 l gs col0 s gr -% Polyline -n 3525 3300 m 5400 3000 l gs col0 s gr -% Polyline -n 3300 3900 m 2400 3900 l gs col0 s gr -% Polyline -n 2400 3900 m 3300 4800 l gs col0 s gr -% Polyline -n 3300 4800 m 1800 5100 l gs col0 s gr -% Polyline -n 1200 4200 m 2400 3900 l gs col0 s gr -% Polyline -n 1800 5100 m 1200 4200 l gs col0 s gr -% Polyline -n 1200 4200 m 1350 3450 l gs col0 s gr -% Polyline -n 1350 3450 m 2400 3900 l gs col0 s gr -% Polyline -n 1350 3450 m 1650 3150 l gs col0 s gr -% Polyline -n 9900 3150 m 9900 2550 l cp gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9600 2250 m 9300 2250 l cp gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9900 3150 m 9900 2550 l 9600 2250 l 9300 2250 l 9600 1950 l 10200 2550 l - 10200 2850 l cp gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 6750 m 8100 3450 l 7050 2400 l 6300 3150 l 6300 2850 l 6900 2250 l - 6300 1650 l 6300 1350 l 7500 2550 l 8100 1950 l 7500 1350 l - 7800 1350 l 8400 1950 l 9000 1350 l 9300 1350 l 8100 2550 l - 8550 3000 l 8700 2850 l 8700 2250 l 9000 2250 l 9000 2850 l - 9600 2850 l 9600 3150 l 9000 3150 l 8850 3300 l 9300 3750 l - 10500 2550 l 9900 1950 l 9900 1350 l 10200 1350 l 10200 1950 l - 10800 1350 l 11100 1350 l 10500 1950 l 11100 2550 l 11850 1800 l - 11550 1500 l 11700 1350 l 12000 1650 l 12300 1350 l 12300 1650 l - 11700 2250 l 12300 2850 l 12300 3150 l 11700 2550 l 10500 3750 l - 10500 6750 l cp gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 4650 m 10500 4950 l 10200 4950 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 4950 m 10500 5250 l 10200 5250 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 5250 m 10500 5550 l 10200 5550 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 5550 m 10500 5850 l 10200 5850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 5850 m 10500 6150 l 10200 6150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 6150 m 10500 6450 l 10200 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 4350 m 10500 4650 l 10200 4650 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 4050 m 10500 4350 l 10200 4350 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 3750 m 10500 4050 l 10200 4050 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 3750 m 8400 4050 l 8400 3750 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 4050 m 8400 4350 l 8400 4050 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 4350 m 8400 4650 l 8400 4350 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 4650 m 8400 4950 l 8400 4650 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 4950 m 8400 5250 l 8400 4950 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 5250 m 8400 5550 l 8400 5250 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 5550 m 8400 5850 l 8400 5550 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 5850 m 8400 6150 l 8400 5850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 6150 m 8400 6450 l 8400 6150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 6450 m 8400 6750 l 8400 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8400 6450 m 8700 6750 l 8700 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8700 6450 m 9000 6750 l 9000 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9000 6450 m 9300 6750 l 9300 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9300 6450 m 9600 6750 l 9600 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9600 6450 m 9900 6750 l 9900 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9900 6450 m 10200 6750 l 10200 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8400 3750 m 10200 3750 l 10200 6450 l 8400 6450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8700 3450 m 9000 3750 l 9000 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8400 3450 m 8700 3750 l 8700 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9600 3450 m 9900 3750 l 9900 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9900 3150 m 10200 3450 l 10200 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 2850 m 10500 3150 l 10500 2850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 2550 m 10800 2850 l 10800 2550 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 2250 m 10800 2550 l 10800 2250 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 1950 m 10500 2250 l 10500 1950 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10800 2550 m 11100 2850 l 11100 2550 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10800 2850 m 11100 3150 l 11100 2850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 3150 m 10800 3450 l 10800 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 3450 m 10500 3750 l 10500 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9900 3450 m 10200 3750 l 9900 3750 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 3150 m 10500 3450 l 10200 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 2850 m 10800 3150 l 10500 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10800 2550 m 11100 2850 l 10800 2850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 2250 m 10800 2550 l 10500 2550 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 1950 m 10500 2250 l 10200 2250 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 11400 2250 m 11700 2550 l 11400 2550 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 11100 2550 m 11400 2850 l 11100 2850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8400 3150 m 8700 3450 l 8400 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 2850 m 8400 3150 l 8100 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 2850 m 8400 3150 l 8400 2850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 3150 m 10500 3450 l 10500 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 2850 m 10800 3150 l 10800 2850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 11400 2250 m 11700 2550 l 11700 2250 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10800 2850 m 11100 3150 l 10800 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 3150 m 10800 3450 l 10500 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 2850 m 10500 3150 l 10200 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 2550 m 10800 2850 l 10500 2850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9900 3150 m 10200 3450 l 9900 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 3450 m 10500 3750 l 10200 3750 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9900 3450 m 10200 3750 l 10200 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 9600 3450 m 9900 3750 l 9600 3750 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10200 2850 m 9900 3150 l 10200 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 3450 m 8400 3150 l 8400 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8400 3450 m 8700 3750 l 8400 3750 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8700 3450 m 9000 3750 l 8700 3750 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 3450 m 8400 3750 l 8400 3450 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8400 3150 m 8100 3450 l 8100 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 3150 m 7500 2850 l 7500 2550 l 8100 2550 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8700 3450 m 8850 3300 l 8550 3000 l 8400 3150 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8700 2850 m 9000 3150 l 9000 2850 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 12000 1650 m 12000 1950 l 11850 1800 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 2550 m 8100 1950 l 8400 1950 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 7050 2400 m 6900 2250 l 7200 2250 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 11400 2850 m 11100 2550 l 11400 2550 l cp gs col2 1.00 shd ef gr gs col0 s gr -% Polyline -n 10500 6750 m 10500 3750 l gs col0 s gr -% Polyline -n 7050 2400 m 8100 3450 l gs col0 s gr -% Polyline -n 10500 3750 m 11700 2550 l gs col0 s gr -% Polyline -n 9300 3750 m 10500 2550 l gs col0 s gr -% Polyline -n 10500 2550 m 9900 1950 l gs col0 s gr -% Polyline -n 7500 2550 m 8100 1950 l gs col0 s gr -% Polyline -n 7500 2550 m 6900 1950 l gs col0 s gr -% Polyline -n 11100 2550 m 10500 1950 l gs col0 s gr -% Polyline -n 7050 2400 m 6300 3150 l 6300 2850 l 6900 2250 l 6300 1650 l 6300 1350 l - 6975 2025 l gs col0 s gr -% Polyline -n 8100 1950 m 7500 1350 l 7800 1350 l 8400 1950 l 9000 1350 l 9300 1350 l - 8700 1950 l gs col0 s gr -% Polyline -n 9900 1950 m 9900 1425 l 9900 1350 l 10200 1350 l 10200 1950 l 10800 1350 l - 11100 1350 l 10500 1950 l gs col0 s gr -% Polyline -n 11700 2550 m 12300 3150 l 12300 2850 l 11700 2250 l 12300 1650 l 12300 1350 l - 12000 1650 l 11700 1350 l 11550 1500 l 11850 1800 l gs col0 s gr -% Polyline -n 8700 1950 m 8100 2550 l gs col0 s gr -% Polyline -n 9300 3750 m 8850 3300 l 9000 3150 l 9600 3150 l 9600 2850 l 9000 2850 l - 9000 2250 l 8700 2250 l 8700 2850 l 8550 3000 l 8100 2550 l gs col0 s gr -% Polyline -n 11100 2550 m 11850 1800 l gs col0 s gr -% Polyline -n 6300 1650 m 6600 1650 l 6600 1950 l 6900 1950 l 6900 2550 l 6600 2550 l - 6600 2850 l 6300 2850 l gs col0 s gr -% Polyline -n 6900 2250 m 7200 2250 l 7050 2400 l 6900 2250 l cp gs col0 s gr -% Polyline -n 7200 2250 m 7200 2550 l 8100 2550 l 8100 1950 l gs col0 s gr -% Polyline -n 7800 1350 m 7800 1650 l 8100 1650 l 8100 1950 l 8700 1950 l 8700 1650 l - 9000 1650 l 9000 1350 l gs col0 s gr -% Polyline -n 7500 2550 m 7500 2850 l 8100 2550 l gs col0 s gr -% Polyline -n 9000 2250 m 8700 2550 l 9000 2550 l 8700 2850 l 9000 2850 l 9000 3150 l - 9300 2850 l 9300 3150 l 9600 2850 l gs col0 s gr -% Polyline -n 9000 3150 m 8700 2850 l 8850 3300 l 8550 3000 l 8100 3450 l 8100 2550 l gs col0 s gr -% Polyline -n 8100 6150 m 8100 3450 l gs col0 s gr -% Polyline -n 8100 3750 m 8100 3450 l 8400 3750 l 8100 3750 l cp gs col0 s gr -% Polyline -n 8100 4050 m 8100 3750 l 8400 4050 l 8100 4050 l cp gs col0 s gr -% Polyline -n 8100 4350 m 8100 4050 l 8400 4350 l 8100 4350 l cp gs col0 s gr -% Polyline -n 8100 4650 m 8100 4350 l 8400 4650 l 8100 4650 l cp gs col0 s gr -% Polyline -n 8100 4950 m 8100 4650 l 8400 4950 l 8100 4950 l cp gs col0 s gr -% Polyline -n 8100 5550 m 8100 5250 l 8400 5550 l 8100 5550 l cp gs col0 s gr -% Polyline -n 8400 3750 m 8400 3450 l 8700 3750 l 8400 3750 l cp gs col0 s gr -% Polyline -n 8400 4050 m 8400 3750 l 8700 4050 l 8400 4050 l cp gs col0 s gr -% Polyline -n 8400 4350 m 8400 4050 l 8700 4350 l 8400 4350 l cp gs col0 s gr -% Polyline -n 8400 4650 m 8400 4350 l 8700 4650 l 8400 4650 l cp gs col0 s gr -% Polyline -n 8400 4950 m 8400 4650 l 8700 4950 l 8400 4950 l cp gs col0 s gr -% Polyline -n 8400 5250 m 8400 4950 l 8700 5250 l 8400 5250 l cp gs col0 s gr -% Polyline -n 8400 5550 m 8400 5250 l 8700 5550 l 8400 5550 l cp gs col0 s gr -% Polyline -n 8700 3750 m 8700 3450 l 9000 3750 l 8700 3750 l cp gs col0 s gr -% Polyline -n 8700 4050 m 8700 3750 l 9000 4050 l 8700 4050 l cp gs col0 s gr -% Polyline -n 8700 4350 m 8700 4050 l 9000 4350 l 8700 4350 l cp gs col0 s gr -% Polyline -n 8700 4650 m 8700 4350 l 9000 4650 l 8700 4650 l cp gs col0 s gr -% Polyline -n 8700 4950 m 8700 4650 l 9000 4950 l 8700 4950 l cp gs col0 s gr -% Polyline -n 8700 5250 m 8700 4950 l 9000 5250 l 8700 5250 l cp gs col0 s gr -% Polyline -n 8700 5550 m 8700 5250 l 9000 5550 l 8700 5550 l cp gs col0 s gr -% Polyline -n 9000 3750 m 9000 3450 l 9300 3750 l 9000 3750 l cp gs col0 s gr -% Polyline -n 9000 4050 m 9000 3750 l 9300 4050 l 9000 4050 l cp gs col0 s gr -% Polyline -n 9000 4350 m 9000 4050 l 9300 4350 l 9000 4350 l cp gs col0 s gr -% Polyline -n 9000 4650 m 9000 4350 l 9300 4650 l 9000 4650 l cp gs col0 s gr -% Polyline -n 9000 4950 m 9000 4650 l 9300 4950 l 9000 4950 l cp gs col0 s gr -% Polyline -n 9000 5250 m 9000 4950 l 9300 5250 l 9000 5250 l cp gs col0 s gr -% Polyline -n 9000 5550 m 9000 5250 l 9300 5550 l 9000 5550 l cp gs col0 s gr -% Polyline -n 9300 4050 m 9300 3750 l 9600 4050 l 9300 4050 l cp gs col0 s gr -% Polyline -n 9300 4350 m 9300 4050 l 9600 4350 l 9300 4350 l cp gs col0 s gr -% Polyline -n 9300 4650 m 9300 4350 l 9600 4650 l 9300 4650 l cp gs col0 s gr -% Polyline -n 9300 4950 m 9300 4650 l 9600 4950 l 9300 4950 l cp gs col0 s gr -% Polyline -n 9300 5250 m 9300 4950 l 9600 5250 l 9300 5250 l cp gs col0 s gr -% Polyline -n 9300 5550 m 9300 5250 l 9600 5550 l 9300 5550 l cp gs col0 s gr -% Polyline -n 9600 3750 m 9600 3450 l 9900 3750 l 9600 3750 l cp gs col0 s gr -% Polyline -n 9600 4050 m 9600 3750 l 9900 4050 l 9600 4050 l cp gs col0 s gr -% Polyline -n 9600 4350 m 9600 4050 l 9900 4350 l 9600 4350 l cp gs col0 s gr -% Polyline -n 9600 4650 m 9600 4350 l 9900 4650 l 9600 4650 l cp gs col0 s gr -% Polyline -n 9600 4950 m 9600 4650 l 9900 4950 l 9600 4950 l cp gs col0 s gr -% Polyline -n 9600 5250 m 9600 4950 l 9900 5250 l 9600 5250 l cp gs col0 s gr -% Polyline -n 9600 5550 m 9600 5250 l 9900 5550 l 9600 5550 l cp gs col0 s gr -% Polyline -n 9900 3750 m 9900 3450 l 10200 3750 l 9900 3750 l cp gs col0 s gr -% Polyline -n 9900 4050 m 9900 3750 l 10200 4050 l 9900 4050 l cp gs col0 s gr -% Polyline -n 9900 4350 m 9900 4050 l 10200 4350 l 9900 4350 l cp gs col0 s gr -% Polyline -n 9900 4650 m 9900 4350 l 10200 4650 l 9900 4650 l cp gs col0 s gr -% Polyline -n 9900 4950 m 9900 4650 l 10200 4950 l 9900 4950 l cp gs col0 s gr -% Polyline -n 9900 5250 m 9900 4950 l 10200 5250 l 9900 5250 l cp gs col0 s gr -% Polyline -n 9900 5550 m 9900 5250 l 10200 5550 l 9900 5550 l cp gs col0 s gr -% Polyline -n 10200 3750 m 10200 3450 l 10500 3750 l 10200 3750 l cp gs col0 s gr -% Polyline -n 10200 4050 m 10200 3750 l 10500 4050 l 10200 4050 l cp gs col0 s gr -% Polyline -n 10200 4350 m 10200 4050 l 10500 4350 l 10200 4350 l cp gs col0 s gr -% Polyline -n 10200 4650 m 10200 4350 l 10500 4650 l 10200 4650 l cp gs col0 s gr -% Polyline -n 10200 4950 m 10200 4650 l 10500 4950 l 10200 4950 l cp gs col0 s gr -% Polyline -n 10200 5250 m 10200 4950 l 10500 5250 l 10200 5250 l cp gs col0 s gr -% Polyline -n 10200 5550 m 10200 5250 l 10500 5550 l 10200 5550 l cp gs col0 s gr -% Polyline -n 9900 3450 m 9900 3150 l 10200 3450 l 9900 3450 l cp gs col0 s gr -% Polyline -n 10200 3450 m 10200 3150 l 10500 3450 l 10200 3450 l cp gs col0 s gr -% Polyline -n 10500 3450 m 10500 3150 l 10800 3450 l 10500 3450 l cp gs col0 s gr -% Polyline -n 10200 3150 m 10200 2850 l 10500 3150 l 10200 3150 l cp gs col0 s gr -% Polyline -n 10500 3150 m 10500 2850 l 10800 3150 l 10500 3150 l cp gs col0 s gr -% Polyline -n 10800 3150 m 10800 2850 l 11100 3150 l 10800 3150 l cp gs col0 s gr -% Polyline -n 10500 2850 m 10500 2550 l 10800 2850 l 10500 2850 l cp gs col0 s gr -% Polyline -n 11100 2850 m 11100 2550 l 11400 2850 l 11100 2850 l cp gs col0 s gr -% Polyline -n 10800 2850 m 10800 2550 l 11100 2850 l 10800 2850 l cp gs col0 s gr -% Polyline -n 10500 2550 m 10500 2250 l 10800 2550 l 10500 2550 l cp gs col0 s gr -% Polyline -n 10200 2250 m 10200 1950 l 10500 2250 l 10200 2250 l cp gs col0 s gr -% Polyline -n 9900 1950 m 9900 1650 l 10200 1950 l 9900 1950 l cp gs col0 s gr -% Polyline -n 9900 1650 m 9900 1350 l 10200 1650 l 9900 1650 l cp gs col0 s gr -% Polyline -n 8400 3450 m 8400 3150 l 8700 3450 l 8400 3450 l cp gs col0 s gr -% Polyline -n 8100 3450 m 8400 3450 l gs col0 s gr -% Polyline -n 8400 3150 m 8100 3150 l gs col0 s gr -% Polyline -n 8400 3150 m 8400 2850 l 8100 2850 l 8400 3150 l cp gs col0 s gr -% Polyline -n 8100 3150 m 7500 2850 l gs col0 s gr -% Polyline -n 8100 2850 m 7500 2850 l gs col0 s gr -% Polyline -n 8850 3300 m 8700 3450 l gs col0 s gr -% Polyline -n 9000 3450 m 8700 3450 l gs col0 s gr -% Polyline -n 8400 3150 m 8850 3300 l gs col0 s gr -% Polyline -n 9300 3750 m 9600 3750 l gs col0 s gr -% Polyline -n 9600 3450 m 9900 3450 l gs col0 s gr -% Polyline -n 9900 3150 m 10200 3150 l gs col0 s gr -% Polyline -n 10200 2850 m 10500 2850 l gs col0 s gr -% Polyline -n 10500 3750 m 10500 3450 l gs col0 s gr -% Polyline -n 10800 3450 m 10800 3150 l gs col0 s gr -% Polyline -n 11100 3150 m 11100 2850 l gs col0 s gr -% Polyline -n 11100 2550 m 10800 2550 l 10800 2250 l 10500 2250 l 10500 1950 l 10200 1950 l gs col0 s gr -% Polyline -n 10500 1950 m 10500 1650 l 10800 1650 l 10800 1350 l gs col0 s gr -% Polyline -n 12300 1650 m 11700 1650 l 11700 1350 l gs col0 s gr -% Polyline -n 12000 1950 m 11850 1800 l gs col0 s gr -% Polyline -n 11700 1950 m 12000 1950 l gs col0 s gr -% Polyline -n 11700 1950 m 11700 2550 l 12000 2550 l 12000 2850 l 12300 2850 l gs col0 s gr -% Polyline -n 11700 2250 m 11400 2250 l 11400 2850 l gs col0 s gr -% Polyline -n 11100 2550 m 11700 2550 l gs col0 s gr -% Polyline -n 11700 2550 m 11400 2250 l gs col0 s gr -% Polyline -n 8400 1950 m 8100 2550 l gs col0 s gr -% Polyline -n 12000 1650 m 11850 1800 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 12000 1950 m 12000 1650 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 5250 m 8100 4950 l 8400 5250 l 8100 5250 l cp gs col0 s gr -% Polyline -n 9900 3150 m 9900 2550 l 9600 2250 l 9300 2250 l 9600 1950 l 10200 2550 l - 10200 2850 l gs col0 s gr -% Polyline -n 10200 2850 m 9900 2850 l 10200 2550 l 9900 2550 l 9900 2250 l 9600 2250 l - 9600 1950 l gs col0 s gr -% Polyline -n 8100 6750 m 10500 6750 l gs col0 s gr -% Polyline -n 8100 6450 m 8100 6150 l 8400 6450 l 8100 6450 l cp gs col0 s gr -% Polyline -n 8100 6750 m 8100 6450 l 8400 6750 l 8100 6750 l cp gs col0 s gr -% Polyline -n 8400 6450 m 8400 6150 l 8700 6450 l 8400 6450 l cp gs col0 s gr -% Polyline -n 8400 6750 m 8400 6450 l 8700 6750 l 8400 6750 l cp gs col0 s gr -% Polyline -n 8700 6450 m 8700 6150 l 9000 6450 l 8700 6450 l cp gs col0 s gr -% Polyline -n 8700 6750 m 8700 6450 l 9000 6750 l 8700 6750 l cp gs col0 s gr -% Polyline -n 9000 6450 m 9000 6150 l 9300 6450 l 9000 6450 l cp gs col0 s gr -% Polyline -n 9000 6750 m 9000 6450 l 9300 6750 l 9000 6750 l cp gs col0 s gr -% Polyline -n 9300 6450 m 9300 6150 l 9600 6450 l 9300 6450 l cp gs col0 s gr -% Polyline -n 9300 6750 m 9300 6450 l 9600 6750 l 9300 6750 l cp gs col0 s gr -% Polyline -n 9600 6450 m 9600 6150 l 9900 6450 l 9600 6450 l cp gs col0 s gr -% Polyline -n 9600 6750 m 9600 6450 l 9900 6750 l 9600 6750 l cp gs col0 s gr -% Polyline -n 9900 6450 m 9900 6150 l 10200 6450 l 9900 6450 l cp gs col0 s gr -% Polyline -n 9900 6750 m 9900 6450 l 10200 6750 l 9900 6750 l cp gs col0 s gr -% Polyline -n 10200 6450 m 10200 6150 l 10500 6450 l 10200 6450 l cp gs col0 s gr -% Polyline -n 10200 6750 m 10200 6450 l 10500 6750 l 10200 6750 l cp gs col0 s gr -% Polyline -n 8100 6150 m 10500 6150 l gs col0 s gr -% Polyline -n 8100 5850 m 8100 5550 l 8400 5850 l 8100 5850 l cp gs col0 s gr -% Polyline -n 8100 6150 m 8100 5850 l 8400 6150 l 8100 6150 l cp gs col0 s gr -% Polyline -n 8400 5850 m 8400 5550 l 8700 5850 l 8400 5850 l cp gs col0 s gr -% Polyline -n 8400 6150 m 8400 5850 l 8700 6150 l 8400 6150 l cp gs col0 s gr -% Polyline -n 8700 5850 m 8700 5550 l 9000 5850 l 8700 5850 l cp gs col0 s gr -% Polyline -n 8700 6150 m 8700 5850 l 9000 6150 l 8700 6150 l cp gs col0 s gr -% Polyline -n 9000 5850 m 9000 5550 l 9300 5850 l 9000 5850 l cp gs col0 s gr -% Polyline -n 9000 6150 m 9000 5850 l 9300 6150 l 9000 6150 l cp gs col0 s gr -% Polyline -n 9300 5850 m 9300 5550 l 9600 5850 l 9300 5850 l cp gs col0 s gr -% Polyline -n 9300 6150 m 9300 5850 l 9600 6150 l 9300 6150 l cp gs col0 s gr -% Polyline -n 9600 5850 m 9600 5550 l 9900 5850 l 9600 5850 l cp gs col0 s gr -% Polyline -n 9600 6150 m 9600 5850 l 9900 6150 l 9600 6150 l cp gs col0 s gr -% Polyline -n 9900 5850 m 9900 5550 l 10200 5850 l 9900 5850 l cp gs col0 s gr -% Polyline -n 9900 6150 m 9900 5850 l 10200 6150 l 9900 6150 l cp gs col0 s gr -% Polyline -n 10200 5850 m 10200 5550 l 10500 5850 l 10200 5850 l cp gs col0 s gr -% Polyline -n 10200 6150 m 10200 5850 l 10500 6150 l 10200 6150 l cp gs col0 s gr -% Polyline -n 8100 2550 m 7800 2250 l gs col0 s gr -% Polyline -n 900 900 m 6000 900 l 6000 7800 l 900 7800 l cp gs col0 s gr -% Polyline -n 6000 900 m 12600 900 l 12600 7800 l 6000 7800 l cp gs col0 s gr -/Times-Roman ff 390.00 scf sf -3300 7500 m -gs 1 -1 sc (\(a\)) col0 sh gr -/Times-Roman ff 390.00 scf sf -9150 7500 m -gs 1 -1 sc (\(b\)) col0 sh gr -% Polyline -60.000 slw -n 5100 5400 m 4200 4200 l 3300 4800 l 3300 3900 l 2400 3900 l 2100 2400 l gs col0 s gr -% Polyline -45.000 slw - [112] 0 sd -n 7200 4050 m 11400 4050 l gs col0 s gr [] 0 sd -% Polyline -n 9600 1200 m 9600 1650 l 9150 2100 l 9150 2400 l 9750 2700 l 9750 3150 l - 9300 3600 l 9300 4050 l 9600 4350 l 9600 5250 l 9300 5250 l - 9300 6750 l 9300 7050 l gs col0 s gr -7.500 slw -% Ellipse -n 4500 5400 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4500 5100 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4200 5100 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 3750 4950 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4800 4500 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 5100 3600 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4200 3600 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4500 2400 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 3300 5400 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 2700 3300 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 2400 4800 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 3600 4200 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 5100 4800 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4350 4650 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 3900 4575 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4800 4725 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -$F2psEnd -rs - -%%EndDocument - @endspecial 0 3202 a Fx(Figure)42 b(3)p FK(:)103 b Fv(A)33 -b(computational)e(mesh)i(f)m(or)g(a)g(par)t(ticle-in-cells)i(sim)o -(ulation)d(\(a\))i(and)e(a)h(computational)e(mesh)i(f)m(or)g(a)g -(contact-impact)g(sim)o(ulation)g(\(b\).)47 b(The)32 -b(par)t(ticle-in-cells)j(mesh)0 3401 y(is)i(par)t(titioned)e(so)h(that) -g(both)g(the)f(n)o(umber)g(of)h(mesh)f(elements)h(and)e(the)i(n)o -(umber)f(of)h(par)t(ticles)h(are)f(balanced)e(across)j(the)f -(sub-domains)o(.)53 b(T)-13 b(w)o(o)35 b(par)t(titionings)h(are)g(sho)o -(wn)e(f)m(or)j(the)0 3600 y(contact-impact)28 b(mesh.)36 -b(The)27 b(dashed)f(par)t(titioning)h(balances)g(only)h(the)f(n)o -(umber)g(of)h(mesh)f(elements)o(.)35 b(The)27 b(solid)h(par)t -(titioning)f(balances)g(both)g(the)g(n)o(umber)f(of)i(mesh)f(elements)g -(and)0 3799 y(the)j(n)o(umber)e(of)i(surf)m(ace)h(\(lightly)g(shaded\)) -e(elements)g(across)i(the)f(sub-domains)o(.)0 4160 y -Ft(3.5)199 b(P)-6 b(ar)t(titioning)56 b(f)l(or)f(Multi-phase)g(and)g -(Multi-ph)l(ysics)g(Computations)0 4479 y FK(The)h(traditional)g(graph) -g(partitioning)h(problem)f(formulation)h(is)f(limited)g(in)g(the)g -(types)f(of)h(applications)g(that)f(it)i(can)e(ef)l(fecti)l(v)n(ely)0 -4698 y(model)33 b(because)f(it)h(speci\002es)g(that)g(only)g(a)g -(single)g(quantity)g(be)g(load)g(balanced.)48 b(Man)n(y)32 -b(important)i(types)e(of)i(multi-phase)f(and)g(multi-)0 -4917 y(ph)o(ysics)e(computations)g(require)h(that)g(multiple)g -(quantities)g(be)f(load)h(balanced)e(simultaneously)-11 -b(.)48 b(This)32 b(is)f(because)f(synchronization)0 5136 -y(steps)46 b(e)n(xist)h(between)f(the)h(dif)l(ferent)h(phases)e(of)i -(the)f(computations,)h(and)f(so,)h(each)e(phase)g(must)h(be)g(indi)l -(vidually)h(load)f(balanced.)0 5355 y(That)i(is,)g(it)g(is)f(not)g(suf) -l(\002cient)h(to)f(simply)h(sum)f(up)g(the)h(relati)l(v)n(e)e(times)h -(required)h(for)g(each)f(phase)f(and)h(to)h(compute)f(a)g(partitioning) -0 5575 y(based)38 b(on)i(this)f(sum.)50 b(Doing)40 b(so)f(may)g(lead)g -(to)h(some)f(processors)f(ha)m(ving)h(too)h(much)f(w)n(ork)h(during)g -(one)f(phase)g(of)g(the)h(computation)0 5794 y(\(and)j(so,)f(these)g -(may)h(still)f(be)h(w)n(orking)g(after)g(other)g(processors)f(are)g -(idle\),)h(and)g(not)g(enough)f(w)n(ork)h(during)h(another)-9 -b(.)54 b(Instead,)42 b(it)h(is)0 6013 y(critical)f(that)f(e)l(v)n(ery)g -(processor)g(ha)m(v)n(e)f(an)h(equal)g(amount)h(of)g(w)n(ork)g(from)g -(each)f(phase)f(of)i(the)g(computation.)199 6232 y(T)-13 -b(w)n(o)47 b(e)n(xamples)e(are)h(particle-in-cells)h([17])g(and)f -(contact-impact)g(simulations)g([3)q(].)65 b(Figure)47 -b(3)g(illustrates)f(the)g(characteristics)0 6451 y(of)h(partitionings)h -(that)f(are)g(needed)g(for)h(these)e(simulations.)68 -b(Figure)47 b(3\(a\))h(sho)l(ws)e(a)h(mesh)g(for)h(a)e -(particles-in-cells)h(computation.)0 6670 y(Assuming)d(that)g(a)f -(synchronization)h(separates)f(the)h(mesh-based)f(computation)h(from)h -(the)f(particle)g(computation,)g(a)g(partitioning)0 6890 -y(is)f(required)h(that)f(balances)f(both)i(the)f(number)h(of)g(mesh)f -(elements)f(and)i(the)f(number)h(of)f(particles)g(across)g(the)g -(sub-domains.)56 b(Fig-)0 7109 y(ure)41 b(3\(b\))h(sho)l(ws)d(a)i(mesh) -g(for)g(a)g(contact-impact)g(simulation.)51 b(During)41 -b(the)g(contact)f(detection)h(phase,)f(computation)h(is)f(performed)0 -7328 y(only)k(on)h(the)f(surf)n(ace)f(\(i.e.,)h(lightly)h(shaded\))e -(elements,)h(while)g(during)h(the)f(impact)g(phase,)f(computation)i(is) -f(performed)g(on)g(all)h(of)0 7547 y(the)50 b(elements.)78 -b(Therefore,)53 b(in)e(order)g(to)f(ensure)g(that)h(both)g(phases)e -(are)h(load)h(balanced,)g(a)g(partitioning)g(must)g(balance)e(both)i -(the)0 7766 y(total)45 b(number)f(of)h(mesh)f(elements)f(and)h(the)g -(number)h(of)g(surf)n(ace)f(elements)f(across)h(the)g(sub-domains.)59 -b(The)44 b(solid)h(partitioning)g(in)0 7986 y(Figure)k(3\(b\))f(does)g -(this.)70 b(The)49 b(dashed)e(partitioning)i(is)f(similar)g(to)g(what)g -(a)g(traditional)h(graph)f(partitioner)h(might)f(compute.)71 -b(This)0 8205 y(partitioning)42 b(balances)f(only)g(the)h(total)g -(number)f(of)h(mesh)f(elements.)50 b(The)42 b(surf)n(ace)f(elements)g -(are)g(imbalanced)g(by)h(o)n(v)n(er)e(50\045.)199 8424 -y(A)65 b(ne)l(w)f(formulation)i(of)f(the)g(graph)g(partitioning)h -(problem)f(is)f(presented)g(in)h([6)q(])g(that)g(is)f(able)h(to)g -(model)g(the)f(problem)i(of)0 8643 y(balancing)43 b(multiple)h -(computational)g(phases)e(simultaneously)-11 b(,)43 b(while)g(also)g -(minimizing)h(the)g(inter)m(-processor)f(communications.)0 -8862 y(In)57 b(this)g(formulation,)k(a)c(weight)g(v)n(ector)f(of)h -(size)f Fy(m)67 b FK(is)56 b(assigned)g(to)h(each)f(v)n(erte)n(x)g(of)h -(the)g(graph.)97 b(The)57 b Fs(multi-constr)n(aint)g(gr)n(aph)0 -9081 y(partitioning)73 b(pr)-7 b(oblem)71 b FK(then)h(is)g(to)h -(compute)f(a)g(partitioning)h(such)e(that)i(the)f(edge-cut)g(is)g -(minimized)g(and)g(that)h(e)l(v)n(ery)e(sub-)0 9301 y(domain)49 -b(has)f(approximately)h(the)g(same)f(amount)h(of)g(each)f(of)h(the)g(v) -n(erte)n(x)e(weights.)73 b(The)49 b(routines)g FA(P)-7 -b(arMETIS)p 6742 9301 50 7 v 61 w(V3)p 7006 9301 V 59 -w(P)g(ar)7 b(tKw)n(a)-5 b(y)p FK(,)0 9520 y FA(P)e(arMETIS)p -768 9520 V 61 w(V3)p 1032 9520 V 60 w(P)g(ar)7 b(tGeomKw)n(a)-5 -b(y)p FK(,)40 b FA(P)-7 b(arMETIS)p 3086 9520 V 61 w(V3)p -3350 9520 V 60 w(Re\002neKw)n(a)i(y)p FK(,)40 b(and)f -FA(P)-7 b(arMETIS)p 5407 9520 V 61 w(V3)p 5671 9520 V -60 w(Adaptiv)l(eRepar)7 b(t)41 b FK(are)e(all)h(able)f(to)0 -9739 y(compute)i(partitionings)h(that)g(satisfy)f(multiple)h(balance)f -(constraints.)199 9958 y(Figure)k(4)f(gi)l(v)n(es)e(the)i(dual)g(graph) -g(for)g(the)g(particles-in-cells)g(mesh)f(sho)l(wn)g(in)i(Figure)f(3.) -58 b(Each)44 b(v)n(erte)n(x)f(has)g(tw)n(o)h(weights)g(here.)0 -10177 y(The)33 b(\002rst)g(represents)f(the)g(w)n(ork)i(associated)d -(with)i(the)f(mesh-based)g(computation)h(for)g(the)g(corresponding)f -(element.)48 b(\(These)33 b(are)f(all)0 10396 y(ones)i(because)g(we)g -(assume)g(in)h(this)f(case)g(that)h(all)g(of)g(the)g(elements)f(ha)m(v) -n(e)f(the)i(same)f(amount)h(of)g(mesh-based)f(w)n(ork)i(associated)d -(with)0 10616 y(them.\))50 b(The)39 b(second)f(weight)g(represents)g -(the)h(w)n(ork)g(associated)e(with)i(the)f(particle-based)g -(computation.)50 b(This)39 b(v)l(alue)f(is)h(estimated)3858 -11298 y(9)p eop -%%Page: 10 10 -10 9 bop 900 2536 a @beginspecial 0 @llx 0 @lly 646 @urx -273 @ury 3600 @rwi @setspecial -%%BeginDocument: figures/particle.eps -%!PS-Adobe-2.0 EPSF-2.0 -%%Title: particle.eps -%%Creator: fig2dev Version 3.2 Patchlevel 3b -%%CreationDate: Wed Jan 23 20:29:48 2002 -%%For: kirk@lnx08 (Kirk Schloegel) -%%BoundingBox: 0 0 646 273 -%%Magnification: 1.0000 -%%EndComments -/$F2psDict 200 dict def -$F2psDict begin -$F2psDict /mtrx matrix put -/col-1 {0 setgray} bind def -/col0 {0.000 0.000 0.000 srgb} bind def -/col1 {0.000 0.000 1.000 srgb} bind def -/col2 {0.000 1.000 0.000 srgb} bind def -/col3 {0.000 1.000 1.000 srgb} bind def -/col4 {1.000 0.000 0.000 srgb} bind def -/col5 {1.000 0.000 1.000 srgb} bind def -/col6 {1.000 1.000 0.000 srgb} bind def -/col7 {1.000 1.000 1.000 srgb} bind def -/col8 {0.000 0.000 0.560 srgb} bind def -/col9 {0.000 0.000 0.690 srgb} bind def -/col10 {0.000 0.000 0.820 srgb} bind def -/col11 {0.530 0.810 1.000 srgb} bind def -/col12 {0.000 0.560 0.000 srgb} bind def -/col13 {0.000 0.690 0.000 srgb} bind def -/col14 {0.000 0.820 0.000 srgb} bind def -/col15 {0.000 0.560 0.560 srgb} bind def -/col16 {0.000 0.690 0.690 srgb} bind def -/col17 {0.000 0.820 0.820 srgb} bind def -/col18 {0.560 0.000 0.000 srgb} bind def -/col19 {0.690 0.000 0.000 srgb} bind def -/col20 {0.820 0.000 0.000 srgb} bind def -/col21 {0.560 0.000 0.560 srgb} bind def -/col22 {0.690 0.000 0.690 srgb} bind def -/col23 {0.820 0.000 0.820 srgb} bind def -/col24 {0.500 0.190 0.000 srgb} bind def -/col25 {0.630 0.250 0.000 srgb} bind def -/col26 {0.750 0.380 0.000 srgb} bind def -/col27 {1.000 0.500 0.500 srgb} bind def -/col28 {1.000 0.630 0.630 srgb} bind def -/col29 {1.000 0.750 0.750 srgb} bind def -/col30 {1.000 0.880 0.880 srgb} bind def -/col31 {1.000 0.840 0.000 srgb} bind def - -end -save -newpath 0 273 moveto 0 0 lineto 646 0 lineto 646 273 lineto closepath clip newpath --62.0 369.0 translate -1 -1 scale - -/cp {closepath} bind def -/ef {eofill} bind def -/gr {grestore} bind def -/gs {gsave} bind def -/sa {save} bind def -/rs {restore} bind def -/l {lineto} bind def -/m {moveto} bind def -/rm {rmoveto} bind def -/n {newpath} bind def -/s {stroke} bind def -/sh {show} bind def -/slc {setlinecap} bind def -/slj {setlinejoin} bind def -/slw {setlinewidth} bind def -/srgb {setrgbcolor} bind def -/rot {rotate} bind def -/sc {scale} bind def -/sd {setdash} bind def -/ff {findfont} bind def -/sf {setfont} bind def -/scf {scalefont} bind def -/sw {stringwidth} bind def -/tr {translate} bind def -/tnt {dup dup currentrgbcolor - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} - bind def -/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul - 4 -2 roll mul srgb} bind def - /DrawEllipse { - /endangle exch def - /startangle exch def - /yrad exch def - /xrad exch def - /y exch def - /x exch def - /savematrix mtrx currentmatrix def - x y tr xrad yrad sc 0 0 1 startangle endangle arc - closepath - savematrix setmatrix - } def - -/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def -/$F2psEnd {$F2psEnteredState restore end} def - -$F2psBegin -%%Page: 1 1 -10 setmiterlimit - 0.06000 0.06000 sc -% -% Fig objects follow -% -% Polyline -7.500 slw -n 1500 3300 m - 1950 2550 l gs col0 s gr -% Polyline -n 1950 2550 m - 3150 2250 l gs col0 s gr -% Polyline -n 3150 2250 m - 4350 2250 l gs col0 s gr -% Polyline -n 4350 2250 m - 5250 3150 l gs col0 s gr -% Polyline -n 5250 3150 m - 5550 4350 l gs col0 s gr -% Polyline -n 5550 4350 m - 4950 5550 l gs col0 s gr -% Polyline -n 4950 5550 m - 3750 5850 l gs col0 s gr -% Polyline -n 3750 5850 m - 2550 5850 l gs col0 s gr -% Polyline -n 2550 5850 m - 1650 5250 l gs col0 s gr -% Polyline -n 1650 5250 m - 2250 4050 l gs col0 s gr -% Polyline -n 2250 4050 m - 3375 3450 l gs col0 s gr -% Polyline -n 3375 3450 m - 4050 4350 l gs col0 s gr -% Polyline -n 4050 4350 m - 3150 4950 l gs col0 s gr -% Polyline -n 3150 4950 m - 3150 4050 l gs col0 s gr -% Polyline -n 3150 4050 m - 4050 4350 l gs col0 s gr -% Polyline -n 3150 4050 m - 3375 3450 l gs col0 s gr -% Polyline -n 3150 4950 m - 2550 5850 l gs col0 s gr -% Polyline -n 3150 4950 m - 3750 5850 l gs col0 s gr -% Polyline -n 4950 5550 m - 4050 4350 l gs col0 s gr -% Polyline -n 4050 4350 m - 5550 4350 l gs col0 s gr -% Polyline -n 3750 5850 m - 4050 4350 l gs col0 s gr -% Polyline -n 4050 4350 m - 5250 3150 l gs col0 s gr -% Polyline -n 3375 3450 m - 4350 2250 l gs col0 s gr -% Polyline -n 3375 3450 m - 3150 2250 l gs col0 s gr -% Polyline -n 2250 4050 m - 1500 3300 l gs col0 s gr -% Polyline -n 2250 4050 m - 1950 2550 l gs col0 s gr -% Polyline -n 1950 2550 m - 3375 3450 l gs col0 s gr -% Polyline -n 3375 3450 m - 5250 3150 l gs col0 s gr -% Polyline -n 3150 4050 m - 2250 4050 l gs col0 s gr -% Polyline -n 2250 4050 m - 3150 4950 l gs col0 s gr -% Polyline -n 3150 4950 m - 1650 5250 l gs col0 s gr -% Polyline -n 1050 4350 m - 2250 4050 l gs col0 s gr -% Polyline -n 1650 5250 m - 1050 4350 l gs col0 s gr -% Polyline -n 1050 4350 m - 1200 3600 l gs col0 s gr -% Polyline -n 1200 3600 m - 2250 4050 l gs col0 s gr -% Polyline -n 1200 3600 m - 1500 3300 l gs col0 s gr -% Polyline -60.000 slw -n 4950 5550 m 4050 4350 l 3150 4950 l 3150 4050 l 2250 4050 l - 1950 2550 l gs col0 s gr -7.500 slw -% Ellipse -n 4350 5550 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4350 5250 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4050 5250 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 3600 5100 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4650 4650 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4950 3750 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4050 3750 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4350 2550 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 3150 5550 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 2550 3450 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 2250 4950 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 3450 4350 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4950 4950 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4200 4800 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 3750 4725 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 4650 4875 75 75 0 360 DrawEllipse gs col4 1.00 shd ef gr gs col0 s gr - -% Polyline -n 7950 3975 m - 7875 3225 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 7950 3975 m - 8100 4725 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 4725 m - 8400 5325 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 8400 5325 m - 8925 5625 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 8925 5625 m - 9525 5925 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 7875 3225 m - 8175 2775 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9300 3375 m - 9525 2325 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9975 3600 m - 11475 3900 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9900 4350 m - 9525 5925 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 8175 2775 m - 8775 2325 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 8775 2325 m - 9525 2325 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9525 2325 m - 10050 2325 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 10050 2325 m - 10950 2700 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 10950 2700 m - 11325 3300 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 11325 3300 m - 11475 3900 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 11475 3900 m - 11400 4725 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 11400 4725 m - 11025 5475 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 11025 5475 m - 10350 5850 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 10350 5850 m - 9525 5925 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9000 4125 m - 9300 3375 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9000 4125 m - 9900 4350 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9900 4350 m - 9975 3600 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 9975 3600 m - 9300 3375 l gs col6 1.00 shd ef gr gs col0 s gr -% Polyline -n 8100 4725 m - 9000 4125 l gs col6 1.00 shd ef gr gs col0 s gr -/Times-Roman ff 180.00 scf sf -10275 2325 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -8175 4050 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -10050 3975 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -8250 3075 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -8625 2625 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -10425 2850 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -9300 3750 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -8625 5250 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -8025 3450 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -9525 2625 m -gs 1 -1 sc (\(1, 1\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -10725 3375 m -gs 1 -1 sc (\(1, 1\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -10950 4125 m -gs 1 -1 sc (\(1, 1\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -10800 4875 m -gs 1 -1 sc (\(1, 1\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -10500 5400 m -gs 1 -1 sc (\(1, 3\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -10050 5625 m -gs 1 -1 sc (\(1, 4\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -9975 4650 m -gs 1 -1 sc (\(1, 1\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -9075 5475 m -gs 1 -1 sc (\(1, 1\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -8325 4800 m -gs 1 -1 sc (\(1, 1\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -9675 6150 m -gs 1 -1 sc (\(1, 2\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -8925 4500 m -gs 1 -1 sc (\(1, 0\)) col0 sh gr -/Times-Roman ff 180.00 scf sf -1425 4050 m -gs 1 -1 sc (1) col0 sh gr -/Times-Roman ff 180.00 scf sf -3600 5475 m -gs 1 -1 sc (12) col0 sh gr -/Times-Roman ff 180.00 scf sf -3300 4650 m -gs 1 -1 sc (20) col0 sh gr -/Times-Roman ff 180.00 scf sf -1500 3600 m -gs 1 -1 sc (2) col0 sh gr -/Times-Roman ff 180.00 scf sf -1800 3300 m -gs 1 -1 sc (3) col0 sh gr -/Times-Roman ff 180.00 scf sf -2250 3075 m -gs 1 -1 sc (4) col0 sh gr -/Times-Roman ff 180.00 scf sf -2850 2700 m -gs 1 -1 sc (5) col0 sh gr -/Times-Roman ff 180.00 scf sf -3600 2550 m -gs 1 -1 sc (6) col0 sh gr -/Times-Roman ff 180.00 scf sf -4500 2850 m -gs 1 -1 sc (7) col0 sh gr -/Times-Roman ff 180.00 scf sf -4500 3525 m -gs 1 -1 sc (8) col0 sh gr -/Times-Roman ff 180.00 scf sf -5100 3600 m -gs 1 -1 sc (9) col0 sh gr -/Times-Roman ff 180.00 scf sf -5025 4650 m -gs 1 -1 sc (10) col0 sh gr -/Times-Roman ff 180.00 scf sf -3975 5625 m -gs 1 -1 sc (11) col0 sh gr -/Times-Roman ff 180.00 scf sf -3075 5400 m -gs 1 -1 sc (13) col0 sh gr -/Times-Roman ff 180.00 scf sf -2625 5325 m -gs 1 -1 sc (14) col0 sh gr -/Times-Roman ff 180.00 scf sf -2850 4350 m -gs 1 -1 sc (17) col0 sh gr -/Times-Roman ff 180.00 scf sf -2925 3900 m -gs 1 -1 sc (18) col0 sh gr -/Times-Roman ff 180.00 scf sf -3375 3900 m -gs 1 -1 sc (19) col0 sh gr -/Times-Roman ff 180.00 scf sf -2250 4500 m -gs 1 -1 sc (15) col0 sh gr -/Times-Roman ff 180.00 scf sf -1725 4425 m -gs 1 -1 sc (16) col0 sh gr -% Ellipse -n 8775 2325 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 9525 2325 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 10050 2325 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 10950 2700 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 11475 3900 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 8100 4725 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 7950 3975 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 7875 3225 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 8175 2775 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 9000 4125 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 9300 3375 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 9975 3600 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 9900 4350 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 11400 4725 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 11025 5475 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 10350 5850 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 9525 5925 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 8925 5625 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 8400 5325 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -% Ellipse -n 11305 3347 106 106 0 360 DrawEllipse gs col6 1.00 shd ef gr gs col0 s gr - -/Times-Roman ff 180.00 scf sf -10500 6150 m -gs 1 -1 sc (11) col0 sh gr -/Times-Roman ff 180.00 scf sf -8700 6000 m -gs 1 -1 sc (13) col0 sh gr -/Times-Roman ff 180.00 scf sf -7575 4050 m -gs 1 -1 sc (16) col0 sh gr -/Times-Roman ff 180.00 scf sf -7650 3225 m -gs 1 -1 sc (1) col0 sh gr -/Times-Roman ff 180.00 scf sf -8025 2625 m -gs 1 -1 sc (2) col0 sh gr -/Times-Roman ff 180.00 scf sf -8550 2175 m -gs 1 -1 sc (3) col0 sh gr -/Times-Roman ff 180.00 scf sf -9450 2100 m -gs 1 -1 sc (4) col0 sh gr -/Times-Roman ff 180.00 scf sf -10050 2100 m -gs 1 -1 sc (5) col0 sh gr -/Times-Roman ff 180.00 scf sf -10950 2475 m -gs 1 -1 sc (6) col0 sh gr -/Times-Roman ff 180.00 scf sf -11550 3225 m -gs 1 -1 sc (7) col0 sh gr -/Times-Roman ff 180.00 scf sf -11700 3825 m -gs 1 -1 sc (8) col0 sh gr -/Times-Roman ff 180.00 scf sf -11625 4725 m -gs 1 -1 sc (9) col0 sh gr -/Times-Roman ff 180.00 scf sf -11250 5550 m -gs 1 -1 sc (10) col0 sh gr -/Times-Roman ff 180.00 scf sf -9675 4200 m -gs 1 -1 sc (20) col0 sh gr -/Times-Roman ff 180.00 scf sf -9975 3375 m -gs 1 -1 sc (19) col0 sh gr -/Times-Roman ff 180.00 scf sf -9000 3225 m -gs 1 -1 sc (18) col0 sh gr -/Times-Roman ff 180.00 scf sf -8175 5625 m -gs 1 -1 sc (14) col0 sh gr -/Times-Roman ff 180.00 scf sf -7725 4950 m -gs 1 -1 sc (15) col0 sh gr -/Times-Roman ff 180.00 scf sf -9225 6150 m -gs 1 -1 sc (12) col0 sh gr -/Times-Roman ff 180.00 scf sf -8775 3975 m -gs 1 -1 sc (17) col0 sh gr -% Polyline -2 slj -45.000 slw -n 9000 1650 m 9001 1653 l 9002 1658 l 9005 1669 l 9009 1685 l 9014 1708 l - 9021 1737 l 9029 1772 l 9039 1813 l 9050 1858 l 9061 1907 l - 9073 1959 l 9084 2012 l 9096 2064 l 9107 2117 l 9117 2167 l - 9127 2216 l 9136 2262 l 9144 2306 l 9150 2347 l 9156 2385 l - 9161 2421 l 9164 2454 l 9167 2486 l 9169 2515 l 9169 2542 l - 9169 2568 l 9168 2592 l 9166 2615 l 9163 2638 l 9157 2666 l - 9150 2694 l 9142 2721 l 9132 2747 l 9121 2772 l 9108 2797 l - 9094 2821 l 9080 2844 l 9064 2866 l 9048 2888 l 9031 2909 l - 9013 2930 l 8996 2950 l 8979 2968 l 8962 2987 l 8945 3004 l - 8929 3021 l 8914 3037 l 8900 3053 l 8886 3069 l 8874 3084 l - 8863 3100 l 8853 3114 l 8844 3129 l 8836 3144 l 8829 3160 l - 8822 3176 l 8817 3193 l 8812 3210 l 8808 3228 l 8806 3247 l - 8804 3265 l 8804 3284 l 8804 3303 l 8806 3323 l 8809 3342 l - 8814 3362 l 8819 3381 l 8825 3400 l 8833 3419 l 8842 3437 l - 8851 3455 l 8862 3473 l 8874 3490 l 8886 3508 l 8900 3525 l - 8914 3541 l 8928 3557 l 8944 3573 l 8961 3590 l 8979 3606 l - 8998 3624 l 9017 3641 l 9038 3659 l 9059 3678 l 9081 3697 l - 9103 3716 l 9126 3735 l 9148 3755 l 9171 3775 l 9193 3795 l - 9215 3815 l 9237 3835 l 9257 3855 l 9277 3875 l 9296 3895 l - 9314 3915 l 9331 3934 l 9347 3954 l 9361 3973 l 9375 3993 l - 9388 4013 l 9400 4034 l 9411 4056 l 9421 4079 l 9431 4103 l - 9439 4127 l 9447 4152 l 9455 4178 l 9462 4204 l 9469 4232 l - 9475 4259 l 9481 4288 l 9488 4316 l 9494 4345 l 9500 4373 l - 9506 4402 l 9513 4430 l 9520 4457 l 9528 4485 l 9536 4511 l - 9544 4538 l 9554 4563 l 9564 4588 l 9575 4613 l 9588 4638 l - 9598 4657 l 9610 4676 l 9622 4696 l 9636 4716 l 9650 4736 l - 9666 4756 l 9682 4777 l 9700 4798 l 9718 4819 l 9738 4841 l - 9759 4862 l 9780 4884 l 9802 4907 l 9825 4929 l 9849 4952 l - 9874 4974 l 9899 4997 l 9924 5019 l 9950 5042 l 9976 5064 l - 10002 5086 l 10028 5108 l 10054 5129 l 10081 5151 l 10107 5172 l - 10133 5193 l 10159 5213 l 10185 5234 l 10211 5254 l 10238 5275 l - 10261 5293 l 10284 5312 l 10308 5330 l 10333 5350 l 10358 5369 l - 10384 5389 l 10411 5410 l 10439 5432 l 10468 5455 l 10499 5478 l - 10531 5503 l 10565 5529 l 10600 5557 l 10637 5585 l 10676 5615 l - 10716 5646 l 10757 5677 l 10798 5710 l 10841 5742 l 10883 5775 l - 10924 5807 l 10964 5838 l 11002 5867 l 11037 5894 l 11069 5918 l - 11097 5940 l 11120 5958 l 11139 5972 l 11153 5983 l 11163 5991 l - 11170 5996 l 11173 5999 l - 11175 6000 l gs col0 s gr -% Polyline -0 slj -7.500 slw -n 5850 4275 m 6750 4275 l 6750 4575 l 7350 4125 l 6750 3675 l 6750 3975 l - 5850 3975 l - cp gs col24 1.00 shd ef gr gs col0 s gr -$F2psEnd -rs - -%%EndDocument - @endspecial 0 2901 a Fx(Figure)44 b(4)p FK(:)114 b Fv(A)35 -b(dual)f(g)o(r)o(aph)g(with)h(v)m(er)t(te)m(x)i(w)o(eight)d(v)m(ectors) -j(of)f(siz)o(e)f(tw)o(o)g(is)h(constr)r(ucted)f(from)h(the)f(par)t -(ticle-in-cells)i(mesh)d(from)i(Figure)e(3.)53 b(A)35 -b(m)o(ulti-constr)o(aint)h(par)t(titioning)e(has)0 3100 -y(been)29 b(computed)f(f)m(or)i(this)h(g)o(r)o(aph,)e(and)g(this)i(par) -t(titioning)f(has)g(been)e(projected)h(bac)n(k)i(to)f(the)g(mesh.)0 -3461 y FK(by)39 b(the)f(number)h(of)g(particles)g(that)f(f)n(all)i -(within)f(each)f(element.)49 b(A)39 b(multi-constraint)g(partitioning)h -(is)f(sho)l(wn)f(that)g(balances)g(both)h(of)0 3680 y(these)i(weights.) -199 3899 y(A)46 b(related)g(graph)g(partitioning)h(problem)g -(formulation)g(that)f(is)g(discussed)f(in)h([13],)h(allo)l(ws)f(edges)f -(to)h(ha)m(v)n(e)f(multiple)i(weights.)0 4118 y(W)-13 -b(e)55 b(refer)h(to)f(this)h(as)f(the)g Fs(multi-objective)h(gr)n(aph)e -(partitioning)i(pr)-7 b(oblem)p FK(.)92 b(Multi-objecti)l(v)n(e)55 -b(graph)h(partitioning)g(is)g(applicable)0 4337 y(for)g -(tightly-coupled)g(multi-ph)o(ysics)g(computations)f(in)-7 -b(v)m(olving)56 b(multiple,)j(spatially-o)n(v)n(erlapping)c(meshes.)92 -b(Later)55 b(v)n(ersions)g(of)4 4557 y FA(P)-10 b FG(A)8 -b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)48 b FK(will)42 -b(support)g(multiple)g(edge)f(weights.)0 5011 y Ft(3.6)199 -b(P)-6 b(ar)t(titioning)56 b(f)l(or)f(Heter)l(og)r(eneous)d(Computing)j -(Ar)l(c)n(hitectures)0 5330 y FK(Comple)n(x,)78 b(heterogeneous)71 -b(computing)h(platforms,)79 b(such)71 b(as)g(groups)h(of)g -(tightly-coupled)h(shared-memory)e(nodes)g(that)h(are)0 -5549 y(loosely)48 b(connected)f(via)h(high)h(bandwidth)f(and)g(high)g -(latenc)n(y)f(interconnection)h(netw)n(orks,)i(and/or)e(processing)g -(nodes)f(that)h(ha)m(v)n(e)0 5769 y(comple)n(x)53 b(memory)h -(hierarchies,)i(are)d(becoming)h(more)g(common,)i(as)d(the)n(y)g -(display)h(competiti)l(v)n(e)f(cost-to-performance)h(ratios.)0 -5988 y(The)49 b(same)g(is)f(true)i(of)f(platforms)g(that)h(are)e -(geographically)h(distrib)m(uted.)74 b(Most)48 b(e)n(xisting)h -(parallel)g(simulation)g(codes)f(can)h(easily)0 6207 -y(be)58 b(ported)g(to)g(a)f(wide)h(range)g(of)g(parallel)g -(architectures)f(as)g(the)n(y)g(emplo)n(y)h(a)g(standard)f(messaging)g -(layer)h(such)f(as)g(MPI.)h(Ho)l(w-)0 6426 y(e)l(v)n(er)-7 -b(,)47 b(comple)n(x)f(and)h(heterogeneous)f(architectures)g(present)h -(ne)l(w)f(challenges)g(to)h(the)f(scalable)g(e)n(x)n(ecution)g(of)h -(such)f(codes,)h(since)0 6645 y(man)n(y)h(of)h(the)g(basic)e(parallel)i -(algorithm)g(design)g(assumptions)e(are)i(no)f(longer)h(v)l(alid.)72 -b(One)49 b(w)n(ay)f(of)h(alle)l(viating)g(this)f(problem)h(is)0 -6865 y(to)56 b(de)l(v)n(elop)e(a)i(ne)l(w)f(class)f(of)i -(architecture-a)n(w)n(are)f(graph)g(partitioning)i(algorithms)f(that)f -(optimally)i(decompose)d(computations)0 7084 y(gi)l(v)n(en)43 -b(the)h(architecture)f(of)h(the)g(parallel)f(platform.)58 -b(Ideally)-11 b(,)45 b(this)e(approach)g(will)h(alle)l(viate)f(the)h -(need)f(for)h(major)h(restructuring)f(of)0 7303 y(scienti\002c)d -(codes.)199 7522 y(W)-13 b(e)49 b(ha)m(v)n(e)f(tak)n(en)i(the)f -(\002rst)h(steps)f(to)l(w)n(ard)h(de)l(v)n(eloping)f(architecture-a)n -(w)n(are)g(graph-partitioning)h(algorithms.)76 b(These)49 -b(are)g(able)0 7741 y(to)71 b(compute)h(partitionings)f(that)h(allo)l -(w)f(computations)g(to)g(achie)l(v)n(e)f(the)h(highest)g(le)l(v)n(els)f -(of)i(performance)f(re)n(g)o(ardless)f(of)i(the)0 7960 -y(computing)67 b(platform.)127 b(Speci\002cally)-11 b(,)73 -b(we)66 b(ha)m(v)n(e)f(enabled)h FA(P)-7 b(arMETIS)p -4390 7960 50 7 v 61 w(V3)p 4654 7960 V 60 w(P)g(ar)7 -b(tKw)n(a)-5 b(y)p FK(,)73 b FA(P)-7 b(arMETIS)p 6290 -7960 V 60 w(V3)p 6553 7960 V 60 w(P)g(ar)7 b(tGeomKw)n(a)-5 -b(y)p FK(,)0 8180 y FA(P)e(arMETIS)p 768 8180 V 61 w(V3)p -1032 8180 V 60 w(P)g(ar)7 b(tMeshKw)n(a)-5 b(y)p FK(,)37 -b FA(P)-7 b(arMETIS)p 3037 8180 V 60 w(V3)p 3300 8180 -V 60 w(Re\002neKw)n(a)i(y)p FK(,)36 b(and)f FA(P)-7 b(arMETIS)p -5349 8180 V 61 w(V3)p 5613 8180 V 60 w(Adaptiv)l(eRepar)7 -b(t)37 b FK(to)e(compute)g(ef-)0 8399 y(\002cient)55 -b(partitionings)h(for)g(netw)n(orks)f(of)h(heterogeneous)e(processors.) -92 b(T)-13 b(o)55 b(do)g(so,)j(these)d(routines)g(require)g(an)g -(additional)h(array)0 8618 y(\()p Fj(tpwgts)p FK(\))47 -b(to)h(be)g(passed)g(as)f(a)h(parameter)-9 b(.)72 b(This)48 -b(array)h(describes)e(the)h(fraction)h(of)g(the)f(total)h(v)n(erte)n(x) -e(weight)h(each)g(sub-domain)0 8837 y(should)60 b(contain.)105 -b(F)n(or)60 b(e)n(xample,)j(if)d(you)g(ha)m(v)n(e)e(a)i(netw)n(ork)g -(of)g(four)h(processors,)h(the)e(\002rst)g(three)g(of)g(which)f(are)h -(of)g(equal)f(pro-)0 9056 y(cessing)g(speed,)64 b(and)d(the)f(fourth)i -(of)f(which)f(is)h(twice)f(as)g(f)n(ast)h(as)f(the)g(others,)65 -b(the)60 b(user)h(w)n(ould)g(pass)e(an)i(array)f(containing)h(the)0 -9276 y(v)l(alues)50 b Fz(.)p FK(0)p Fz(:)p FK(2)p Fz(;)28 -b FK(0)p Fz(:)p FK(2)p Fz(;)g FK(0)p Fz(:)p FK(2)p Fz(;)g -FK(0)p Fz(:)p FK(4)p Fz(/)p FK(.)75 b(Note)50 b(that)h(by)f(allo)l -(wing)g(users)g(to)h(specify)f(tar)m(get)g(sub-domain)h(weights)f(as)f -(such,)j(heterogeneous)0 9495 y(processing)47 b(po)l(wer)h(can)g(be)g -(tak)n(en)g(into)h(account)f(when)f(computing)i(a)f(partitioning.)72 -b(Ho)l(we)l(v)n(er)-7 b(,)49 b(this)f(does)f(not)i(allo)l(w)f(us)g(to)g -(tak)n(e)0 9714 y(heterogeneous)e(netw)n(ork)i(bandwidths)f(and)g -(latencies)f(into)h(account.)68 b(Optimizing)47 b(partitionings)h(for)g -(heterogeneous)e(netw)n(orks)0 9933 y(is)41 b(still)h(the)f(focus)h(of) -f(ongoing)h(research.)0 10388 y Ft(3.7)199 b(Computing)55 -b(Fill-Reducing)g(Or)l(derings)0 10707 y FA(P)-7 b(arMETIS)p -768 10707 V 61 w(V3)p 1032 10707 V 60 w(NodeND)70 b FK(is)g(the)g -(routine)h(pro)n(vided)f(by)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)76 b FK(for)71 -b(computing)g(\002ll-reducing)g(orderings,)77 b(suited)69 -b(for)3817 11298 y(10)p eop -%%Page: 11 11 -11 10 bop 0 166 a FK(Cholesk)n(y-based)51 b(direct)j(f)n(actorization)f -(algorithms.)86 b FA(P)-7 b(arMETIS)p 4039 166 50 7 v -61 w(V3)p 4303 166 V 60 w(NodeND)54 b FK(mak)n(es)e(no)i(assumptions)e -(on)h(ho)l(w)g(the)g(graph)0 385 y(is)59 b(initially)g(distrib)m(uted)g -(among)g(the)g(processors.)102 b(It)60 b(can)e(ef)l(fecti)l(v)n(ely)g -(compute)h(\002ll-reducing)h(orderings)f(for)h(graphs)e(that)h(are)0 -604 y(randomly)42 b(distrib)m(uted)f(as)g(well)h(as)f(graphs)g(that)g -(are)h(well)f(distrib)m(uted.)199 824 y(The)36 b(algorithm)h -(implemented)f(by)f FA(P)-7 b(arMETIS)p 3047 824 V 61 -w(V3)p 3311 824 V 60 w(NodeND)37 b FK(is)e(based)g(on)h(a)f(multile)l -(v)n(el)h(nested)f(dissection)g(algorithm.)50 b(This)0 -1043 y(algorithm)h(has)f(been)g(sho)l(wn)g(to)g(produce)g(lo)l(w)h -(\002ll)g(orderings)f(for)h(a)f(wide)h(v)l(ariety)f(of)h(matrices.)77 -b(Furthermore,)53 b(it)e(leads)e(to)i(bal-)0 1262 y(anced)46 -b(elimination)h(trees)f(that)h(are)f(essential)f(for)j(parallel)e -(direct)h(f)n(actorization.)66 b FA(P)-7 b(arMETIS)p -5683 1262 V 61 w(V3)p 5947 1262 V 60 w(NodeND)47 b FK(uses)f(a)g -(multile)l(v)n(el)0 1481 y(node-based)f(re\002nement)i(algorithm)g -(that)f(is)g(particularly)h(suited)f(for)h(directly)f(re\002ning)h(the) -f(size)g(of)g(the)h(separators.)64 b(T)-13 b(o)47 b(achie)l(v)n(e)0 -1700 y(high)63 b(performance,)k FA(P)-7 b(arMETIS)p 2074 -1700 V 61 w(V3)p 2338 1700 V 60 w(NodeND)63 b FK(\002rst)g(uses)e -FA(P)-7 b(arMETIS)p 4524 1700 V 61 w(V3)p 4788 1700 V -60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)63 b FK(to)f(compute)h(a)f(high-quality) -h(parti-)0 1919 y(tioning)52 b(and)e(redistrib)m(utes)h(the)g(graph)g -(accordingly)-11 b(.)79 b(Ne)n(xt)50 b(it)i(proceeds)e(to)h(compute)g -(the)g(log)c Fy(p)56 b FK(le)l(v)n(els)49 b(of)j(the)f(elimination)g -(tree)0 2139 y(concurrently)-11 b(.)92 b(When)54 b(the)h(graph)g(has)g -(been)f(separated)g(into)75 b Fy(p)60 b FK(parts)55 b(\(where)74 -b Fy(p)60 b FK(is)55 b(the)g(number)g(of)g(processors\),)i(the)e(graph) -g(is)0 2358 y(redistrib)m(uted)45 b(among)g(the)h(processor)e(so)h -(that)g(each)g(processor)f(recei)l(v)n(es)g(a)h(single)g(subgraph,)g -(and)g(a)g(multiple)h(minimum)g(de)n(gree)0 2577 y(algorithm)c(is)g -(used)e(to)i(order)g(these)f(smaller)g(subgraphs.)3817 -11298 y(11)p eop -%%Page: 12 12 -12 11 bop 0 170 a FE(4)233 b(Input)64 b(and)h(Output)h(Formats)f(used)h -(b)-5 b(y)71 b(P)-9 b Fu(A)12 b(R)g FE(M)-11 b Fu(E)-46 -b FE(T)g Fu(I)p FE(S)0 558 y Ft(4.1)199 b(Format)55 b(of)g(the)h(Input) -f(Graph)0 877 y FK(All)48 b(of)g(the)g(graph)g(routines)f(in)52 -b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)55 b FK(tak)n(e)48 b(as)f(input)h(the)g(adjacenc)n(y)e -(structure)h(of)i(the)e(graph,)i(the)f(weights)f(of)h(the)g(v)n -(ertices)0 1096 y(and)h(edges)g(\(if)h(an)n(y\),)h(and)e(an)h(array)f -(describing)h(ho)l(w)f(the)h(graph)f(is)h(distrib)m(uted)f(among)h(the) -f(processors.)74 b(Note)50 b(that)f(depending)0 1315 -y(on)54 b(the)h(application)f(this)g(graph)h(can)f(represent)g(dif)l -(ferent)h(things.)89 b(F)n(or)55 b(e)n(xample,)h(when)i -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)61 b FK(is)54 b(used)g(to)h(compute)f(\002ll-)0 -1534 y(reducing)44 b(orderings,)h(the)g(graph)f(corresponds)g(to)h(the) -f(non-zero)h(structure)f(of)h(the)g(matrix)g(\(e)n(xcluding)f(the)g -(diagonal)h(entries\).)60 b(In)0 1754 y(the)46 b(case)f(of)i(\002nite)g -(element)e(computations,)i(the)f(v)n(ertices)g(of)g(the)g(graph)h(can)f -(correspond)g(to)g(nodes)g(\(points\))h(in)f(the)g(mesh)g(while)0 -1973 y(edges)c(represent)h(the)f(connections)h(between)f(these)g -(nodes.)55 b(Alternati)l(v)n(ely)-11 b(,)42 b(the)h(graph)g(can)g -(correspond)g(to)g(the)g(dual)f(of)i(the)f(\002nite)0 -2192 y(element)48 b(mesh.)71 b(In)49 b(this)g(case,)f(each)g(v)n(erte)n -(x)f(corresponds)h(to)g(an)h(element)f(and)g(tw)n(o)h(v)n(ertices)e -(are)h(connected)g(via)g(an)g(edge)g(if)h(the)0 2411 -y(corresponding)38 b(elements)f(share)g(an)h(edge)g(\(in)g(2D\))g(or)g -(a)g(f)n(ace)g(\(in)g(3D\).)g(Also,)g(the)g(graph)g(can)f(be)h(similar) -g(to)g(the)g(dual,)g(b)m(ut)g(be)g(more)0 2630 y(or)52 -b(less)e(connected.)79 b(That)52 b(is,)h(instead)d(of)i(limiting)g -(edges)f(to)g(those)g(elements)f(that)i(share)e(a)h(f)n(ace,)i(edges)e -(can)f(connect)h(an)n(y)g(tw)n(o)0 2850 y(elements)43 -b(that)h(share)f(e)l(v)n(en)g(a)g(single)h(node.)58 b(Ho)l(we)l(v)n(er) -42 b(the)i(graph)g(is)g(constructed,)f(it)h(is)g(usually)f(undirected.) -6526 2789 y Fr(4)6656 2850 y FK(That)h(is,)f(for)i(e)l(v)n(ery)0 -3069 y(pair)d(of)g(connected)e(v)n(ertices)h Fz(v)48 -b FK(and)41 b Fy(u)9 b FK(,)41 b(it)h(contains)e(both)i(edges)f -Fz(.v)7 b(;)28 b Fy(u)9 b Fz(/)40 b FK(and)h Fz(.)p Fy(u)9 -b Fz(;)28 b(v)7 b(/)p FK(.)199 3288 y(In)51 b FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t -FK(,)49 b(the)e(structure)g(of)g(the)g(graph)f(is)h(represented)f(by)h -(the)g(compressed)e(storage)i(format)g(\(CSR\),)g(e)n(xtended)f(for)h -(the)0 3507 y(conte)n(xt)j(of)h(parallel)g(distrib)m(uted-memory)h -(computing.)79 b(W)-13 b(e)50 b(will)h(\002rst)g(describe)f(the)h(CSR)g -(format)g(for)h(serial)e(graphs)g(and)h(then)0 3726 y(describe)41 -b(ho)l(w)g(it)h(has)f(been)g(e)n(xtended)f(for)i(storing)g(graphs)f -(that)h(are)f(distrib)m(uted)h(among)f(processors.)0 -4145 y FB(Serial)66 b(CSR)e(Format)200 b FK(The)59 b(CSR)g(format)h(is) -e(a)h(widely-used)f(scheme)g(for)h(storing)g(sparse)f(graphs.)103 -b(Here,)62 b(the)d(adjacenc)n(y)0 4364 y(structure)45 -b(of)h(a)f(graph)g(is)g(represented)f(by)h(tw)n(o)h(arrays,)f -Fj(xadj)f FK(and)h Fj(adjncy)p FK(.)60 b(W)-13 b(eights)44 -b(on)h(the)g(v)n(ertices)f(and)h(edges)g(\(if)h(an)n(y\))e(are)0 -4583 y(represented)d(by)h(using)f(tw)n(o)h(additional)g(arrays,)f -Fj(vwgt)f FK(and)h Fj(adjwgt)p FK(.)49 b(F)n(or)42 b(e)n(xample,)e -(consider)h(a)h(graph)f(with)h Fy(n)49 b FK(v)n(ertices)41 -b(and)g Fy(m)0 4802 y FK(edges.)50 b(In)42 b(the)f(CSR)h(format,)f -(this)h(graph)f(can)g(be)h(described)e(using)i(arrays)f(of)h(the)f -(follo)l(wing)h(sizes:)1794 5154 y Fj(xadj[)p Fy(n)g -FL(C)37 b FK(1)p Fj(])p FK(,)j Fj(vwgt[)p Fy(n)7 b Fj(])p -FK(,)40 b Fj(adjncy[)p FK(2)p Fy(m)10 b Fj(])p FK(,)37 -b(and)42 b Fj(adjwgt[)p FK(2)p Fy(m)10 b Fj(])0 5506 -y FK(Note)51 b(that)h(the)f(reason)g(both)h Fj(adjncy)d -FK(and)i Fj(adjwgt)e FK(are)j(of)f(size)g(2)p Fy(m)61 -b FK(is)52 b(because)e(e)l(v)n(ery)g(edge)h(is)g(listed)h(twice)f(\()p -Fs(i.e)o FK(.,)i(as)e Fz(.v)7 b(;)28 b Fy(u)9 b Fz(/)0 -5725 y FK(and)45 b Fz(.)p Fy(u)9 b Fz(;)28 b(v)7 b(/)p -FK(\).)63 b(Also)45 b(note)g(that)h(in)g(the)f(case)f(in)i(which)g(the) -f(graph)h(is)f(unweighted)g(\()p Fs(i.e)p FK(.,)h(all)f(v)n(ertices)g -(and/or)g(edges)g(ha)m(v)n(e)f(the)i(same)0 5945 y(weight\),)52 -b(then)e(either)g(or)g(both)g(of)g(the)g(arrays)g Fj(vwgt)e -FK(and)i Fj(adjwgt)e FK(can)h(be)h(set)f(to)h Fj(NULL)p -FK(.)e FA(P)-7 b(arMETIS)p 6339 5945 50 7 v 61 w(V3)p -6603 5945 V 60 w(Adaptiv)l(eRepar)7 b(t)0 6164 y FK(additionally)56 -b(requires)f(a)f Fj(vsize)g FK(array)-11 b(.)92 b(This)56 -b(array)f(is)g(similar)g(to)h(the)f Fj(vwgt)e FK(array)-11 -b(,)59 b(e)n(xcept)54 b(that)h(instead)g(of)g(describing)g(the)0 -6383 y(amount)d(of)g(w)n(ork)g(that)g(is)g(associated)e(with)i(each)f -(v)n(erte)n(x,)i(it)f(describes)e(the)i(amount)g(of)g(memory)g(that)g -(is)g(associated)e(with)i(each)0 6602 y(v)n(erte)n(x.)199 -6821 y(The)44 b(adjacenc)n(y)f(structure)h(of)g(the)g(graph)g(is)f -(stored)h(as)f(follo)l(ws.)59 b(Assuming)43 b(that)h(v)n(erte)n(x)f -(numbering)h(starts)g(from)h(0)f(\(C)g(style\),)0 7041 -y(the)i(adjacenc)n(y)f(list)h(of)h(v)n(erte)n(x)d Fy(i)62 -b FK(is)46 b(stored)g(in)h(array)f Fj(adjncy)e FK(starting)i(at)g(inde) -n(x)g Fj(xadj[)o Fy(i)16 b Fj(])44 b FK(and)i(ending)g(at)h(\(b)m(ut)f -(not)g(including\))0 7260 y(inde)n(x)f Fj(xadj[)o Fy(i)55 -b FL(C)39 b FK(1)p Fj(])46 b FK(\(in)g(other)g(w)n(ords,)h -Fj(adjncy[xadj[)o Fy(i)16 b Fj(]])41 b FK(up)46 b(through)g(and)g -(including)g Fj(adjncy[xadj[)o Fy(i)52 b FL(C)40 b FK(1)p -Fj(]-1])p FK(\).)0 7479 y(Hence,)58 b(the)f(adjacenc)n(y)d(lists)i(for) -h(each)e(v)n(erte)n(x)g(are)h(stored)g(consecuti)l(v)n(ely)f(in)h(the)g -(array)h Fj(adjncy)p FK(.)92 b(The)57 b(array)f Fj(xadj)f -FK(is)h(used)0 7698 y(to)k(point)g(to)h(where)e(the)h(list)g(for)g -(each)g(speci\002c)f(v)n(erte)n(x)g(be)n(gins)g(and)g(ends.)106 -b(Figure)60 b(5\(b\))h(illustrates)e(the)h(CSR)g(format)h(for)f(the)0 -7917 y(15-v)n(erte)n(x)52 b(graph)g(sho)l(wn)g(in)h(Figure)g(5\(a\).)85 -b(If)53 b(the)f(graph)h(w)n(as)f(weights)g(on)h(the)f(v)n(ertices,)i -(then)e Fj(vwgt[)o Fy(i)16 b Fj(])51 b FK(is)h(used)g(to)h(store)f(the) -0 8136 y(weight)43 b(of)g(v)n(erte)n(x)e Fy(i)16 b FK(.)55 -b(Similarly)-11 b(,)44 b(if)g(the)f(graph)f(has)h(weights)f(on)h(the)g -(edges,)f(then)h(the)f(weight)h(of)g(edge)g Fj(adjncy[)27 -b Fy(j)16 b Fj(])40 b FK(is)j(stored)g(in)0 8356 y Fj(adjwgt[)27 -b Fy(j)16 b Fj(])p FK(.)49 b(This)41 b(is)h(the)f(same)g(format)h(that) -g(is)f(used)g(by)g(the)h(\(serial\))j FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)48 b FK(library)43 b(routines.)0 -8774 y FB(Distrib)m(uted)58 b(CSR)d(Format)204 b FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)57 -b FK(uses)49 b(an)h(e)n(xtension)f(of)h(the)g(CSR)g(format)h(that)g -(allo)l(ws)e(the)h(v)n(ertices)f(of)i(the)f(graph)0 8993 -y(and)41 b(their)h(adjacenc)n(y)e(lists)h(to)g(be)h(distrib)m(uted)f -(among)g(the)h(processors.)50 b(In)41 b(particular)-7 -b(,)46 b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b -FA(T)g FG(I)p FA(S)48 b FK(assumes)40 b(that)h(each)g(processor)15 -9212 y Fy(P)104 9237 y Fh(i)198 9212 y FK(stores)d Fy(n)713 -9237 y Fh(i)808 9212 y FK(consecuti)l(v)n(e)e(v)n(ertices)i(of)g(the)h -(graph)f(and)h(the)f(corresponding)g Fy(m)4647 9237 y -Fh(i)4741 9212 y FK(edges,)g(so)g(that)h Fy(n)53 b FL(D)5986 -9088 y Fg(P)6158 9260 y Fh(i)6242 9212 y Fy(n)6331 9237 -y Fh(i)6387 9212 y FK(,)39 b(and)f(2)26 b FL(\003)g Fy(m)55 -b FL(D)7318 9088 y Fg(P)7491 9260 y Fh(i)7574 9212 y -Fy(m)7703 9237 y Fh(i)7758 9212 y FK(.)0 9432 y(Here,)34 -b(each)f(processor)g(stores)g(its)g(local)h(part)f(of)h(the)g(graph)g -(in)f(the)h(four)g(arrays)f Fj(xadj[)p Fy(n)5224 9457 -y Fh(i)5286 9432 y FL(C)8 b FK(1)p Fj(])p FK(,)33 b Fj(vwgt[)p -Fy(n)6271 9457 y Fh(i)6326 9432 y Fj(])p FK(,)h Fj(adjncy[)p -Fy(m)7331 9457 y Fh(i)7384 9432 y Fj(])p FK(,)g(and)0 -9651 y Fj(adjwgt[)p Fy(m)829 9676 y Fh(i)882 9651 y Fj(])p -FK(,)43 b(using)g(the)g(CSR)g(storage)g(scheme.)55 b(Ag)o(ain,)43 -b(if)h(the)f(graph)h(is)f(unweighted,)g(the)g(arrays)g -Fj(vwgt)e FK(and)i Fj(adjwgt)f FK(can)0 9870 y(be)48 -b(set)f(to)i Fj(NULL)p FK(.)d(The)i(straightforw)n(ard)h(w)n(ay)f(to)h -(distrib)m(ute)f(the)g(graph)g(for)53 b FA(P)-10 b FG(A)8 -b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)54 b FK(is)48 -b(to)g(tak)n(e)g Fy(n)7 b Fz(=)19 b Fy(p)54 b FK(consecuti)l(v)n(e)47 -b(adjacenc)n(y)0 10089 y(lists)39 b(from)h Fj(adjncy)d -FK(and)i(store)g(them)h(on)f(consecuti)l(v)n(e)f(processors)g(\(where) -58 b Fy(p)45 b FK(is)39 b(the)g(number)h(of)f(processors\).)50 -b(In)39 b(addition,)h(each)p 0 10378 3120 7 v 174 10498 -a Fq(4)239 10546 y FF(Multi-constraint)35 b(and)g(multi-objecti)m(v)n -(e)h(graph)f(partitioning)h(formulations)g([6,)e(13)q(])g(can)h(get)f -(around)i(this)e(requirement)h(for)g(some)f(applications.)45 -b(These)34 b(also)0 10704 y(allo)m(w)f(the)h(computation)h(of)f -(partitionings)h(for)f(bipartite)g(graphs,)g(as)f(well)g(as)g(for)h -(graphs)g(corresponding)i(to)e(non-square)h(and)f(non-symmetric)i -(matrices.)3817 11298 y FK(12)p eop -%%Page: 13 13 -13 12 bop 900 5478 a @beginspecial 0 @llx 0 @lly 506 -@urx 462 @ury 3600 @rwi @setspecial -%%BeginDocument: ./figures/dcsr.eps -%!PS-Adobe-2.0 EPSF-2.0 -%%Title: dcsr.eps -%%Creator: fig2dev Version 3.2 Patchlevel 3b -%%CreationDate: Mon Jan 14 18:13:16 2002 -%%For: kirk@lnx08 (Kirk Schloegel) -%%BoundingBox: 0 0 506 462 -%%Magnification: 1.0000 -%%EndComments -/$F2psDict 200 dict def -$F2psDict begin -$F2psDict /mtrx matrix put -/col-1 {0 setgray} bind def -/col0 {0.000 0.000 0.000 srgb} bind def -/col1 {0.000 0.000 1.000 srgb} bind def -/col2 {0.000 1.000 0.000 srgb} bind def -/col3 {0.000 1.000 1.000 srgb} bind def -/col4 {1.000 0.000 0.000 srgb} bind def -/col5 {1.000 0.000 1.000 srgb} bind def -/col6 {1.000 1.000 0.000 srgb} bind def -/col7 {1.000 1.000 1.000 srgb} bind def -/col8 {0.000 0.000 0.560 srgb} bind def -/col9 {0.000 0.000 0.690 srgb} bind def -/col10 {0.000 0.000 0.820 srgb} bind def -/col11 {0.530 0.810 1.000 srgb} bind def -/col12 {0.000 0.560 0.000 srgb} bind def -/col13 {0.000 0.690 0.000 srgb} bind def -/col14 {0.000 0.820 0.000 srgb} bind def -/col15 {0.000 0.560 0.560 srgb} bind def -/col16 {0.000 0.690 0.690 srgb} bind def -/col17 {0.000 0.820 0.820 srgb} bind def -/col18 {0.560 0.000 0.000 srgb} bind def -/col19 {0.690 0.000 0.000 srgb} bind def -/col20 {0.820 0.000 0.000 srgb} bind def -/col21 {0.560 0.000 0.560 srgb} bind def -/col22 {0.690 0.000 0.690 srgb} bind def -/col23 {0.820 0.000 0.820 srgb} bind def -/col24 {0.500 0.190 0.000 srgb} bind def -/col25 {0.630 0.250 0.000 srgb} bind def -/col26 {0.750 0.380 0.000 srgb} bind def -/col27 {1.000 0.500 0.500 srgb} bind def -/col28 {1.000 0.630 0.630 srgb} bind def -/col29 {1.000 0.750 0.750 srgb} bind def -/col30 {1.000 0.880 0.880 srgb} bind def -/col31 {1.000 0.840 0.000 srgb} bind def - -end -save -newpath 0 462 moveto 0 0 lineto 506 0 lineto 506 462 lineto closepath clip newpath --8.0 477.0 translate -1 -1 scale - -/cp {closepath} bind def -/ef {eofill} bind def -/gr {grestore} bind def -/gs {gsave} bind def -/sa {save} bind def -/rs {restore} bind def -/l {lineto} bind def -/m {moveto} bind def -/rm {rmoveto} bind def -/n {newpath} bind def -/s {stroke} bind def -/sh {show} bind def -/slc {setlinecap} bind def -/slj {setlinejoin} bind def -/slw {setlinewidth} bind def -/srgb {setrgbcolor} bind def -/rot {rotate} bind def -/sc {scale} bind def -/sd {setdash} bind def -/ff {findfont} bind def -/sf {setfont} bind def -/scf {scalefont} bind def -/sw {stringwidth} bind def -/tr {translate} bind def -/tnt {dup dup currentrgbcolor - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} - bind def -/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul - 4 -2 roll mul srgb} bind def - /DrawEllipse { - /endangle exch def - /startangle exch def - /yrad exch def - /xrad exch def - /y exch def - /x exch def - /savematrix mtrx currentmatrix def - x y tr xrad yrad sc 0 0 1 startangle endangle arc - closepath - savematrix setmatrix - } def - -/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def -/$F2psEnd {$F2psEnteredState restore end} def - -$F2psBegin -%%Page: 1 1 -10 setmiterlimit - 0.06000 0.06000 sc -% -% Fig objects follow -% -7.500 slw -% Ellipse -n 3300 300 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 3600 300 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 3900 300 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 4200 300 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 4500 300 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 3300 600 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 3600 600 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 3900 600 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 4200 600 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 4500 600 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 4500 900 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 4200 900 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 3900 900 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 3600 900 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -% Ellipse -n 3300 900 38 38 0 360 DrawEllipse gs 0.00 setgray ef gr gs col0 s gr - -/Times-Roman ff 150.00 scf sf -3600 4350 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 4350 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3900 4350 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4050 4350 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4200 4350 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4425 4350 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3600 4950 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 4950 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3900 4950 m -gs 1 -1 sc (10) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4125 4950 m -gs 1 -1 sc (15) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 4950 m -gs 1 -1 sc (vtxdist) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -3600 4650 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3900 4650 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4050 4650 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4200 4650 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4350 4650 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4500 4650 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4650 4650 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 4650 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4800 4650 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4950 4650 m -gs 1 -1 sc (4) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5400 4650 m -gs 1 -1 sc (9) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5250 4650 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5100 4650 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3600 5550 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 5550 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3900 5550 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4050 5550 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4275 5550 m -gs 1 -1 sc (15) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4500 5550 m -gs 1 -1 sc (18) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4125 5850 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4275 5850 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4425 5850 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4575 5850 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4800 5850 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4950 5850 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5100 5850 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5250 5850 m -gs 1 -1 sc (12) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5475 5850 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5625 5850 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5775 5850 m -gs 1 -1 sc (9) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5925 5850 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6150 5850 m -gs 1 -1 sc (4) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6300 5850 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6450 5850 m -gs 1 -1 sc (14) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3600 5850 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 5850 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3900 5850 m -gs 1 -1 sc (10) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3600 6150 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 6150 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3900 6150 m -gs 1 -1 sc (10) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4125 6150 m -gs 1 -1 sc (15) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 6150 m -gs 1 -1 sc (vtxdist) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -3600 7050 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 7050 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3975 7050 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4125 7050 m -gs 1 -1 sc (10) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4350 7050 m -gs 1 -1 sc (12) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4575 7050 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4725 7050 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4950 7050 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5175 7050 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5325 7050 m -gs 1 -1 sc (12) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5550 7050 m -gs 1 -1 sc (14) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5775 7050 m -gs 1 -1 sc (9) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5925 7050 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3600 6750 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 6750 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3900 6750 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4050 6750 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4200 6750 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4425 6750 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3600 7350 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 7350 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3900 7350 m -gs 1 -1 sc (10) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4125 7350 m -gs 1 -1 sc (15) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 7350 m -gs 1 -1 sc (vtxdist) dup sw pop neg 0 rm col-1 sh gr -% Polyline -n 1350 4125 m 7200 4125 l 7200 7500 l 1350 7500 l - cp gs col-1 s gr -/Times-Roman ff 180.00 scf sf -1350 4050 m -gs 1 -1 sc (Description of the graph on a parallel computer with 3 processors \(ParMeTiS\)) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 4350 m -gs 1 -1 sc (xadj) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 4650 m -gs 1 -1 sc (adjncy) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -1500 4350 m -gs 1 -1 sc (Processor 0:) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1500 5550 m -gs 1 -1 sc (Processor 1:) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 5550 m -gs 1 -1 sc (xadj) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 5850 m -gs 1 -1 sc (adjncy) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 7050 m -gs 1 -1 sc (adjncy) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 6750 m -gs 1 -1 sc (xadj) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -1500 6750 m -gs 1 -1 sc (Processor 2:) col-1 sh gr -/Times-Roman ff 150.00 scf sf -900 2550 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1050 2550 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1200 2550 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1350 2550 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1500 2550 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1725 2550 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1950 2550 m -gs 1 -1 sc (16) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2175 2550 m -gs 1 -1 sc (20) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2400 2550 m -gs 1 -1 sc (24) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2625 2550 m -gs 1 -1 sc (28) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2850 2550 m -gs 1 -1 sc (31) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3075 2550 m -gs 1 -1 sc (33) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3300 2550 m -gs 1 -1 sc (36) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3525 2550 m -gs 1 -1 sc (39) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 2550 m -gs 1 -1 sc (42) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3975 2550 m -gs 1 -1 sc (44) col-1 sh gr -/Times-Roman ff 150.00 scf sf -900 2850 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1200 2850 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1350 2850 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1500 2850 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1650 2850 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1800 2850 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1950 2850 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -1050 2850 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2100 2850 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2250 2850 m -gs 1 -1 sc (4) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2700 2850 m -gs 1 -1 sc (9) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2550 2850 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2400 2850 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3375 2850 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3525 2850 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3675 2850 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3825 2850 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4050 2850 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4200 2850 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4350 2850 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4500 2850 m -gs 1 -1 sc (12) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4725 2850 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4875 2850 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5025 2850 m -gs 1 -1 sc (9) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5175 2850 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5400 2850 m -gs 1 -1 sc (4) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5550 2850 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5700 2850 m -gs 1 -1 sc (14) col-1 sh gr -/Times-Roman ff 150.00 scf sf -2850 2850 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3000 2850 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3150 2850 m -gs 1 -1 sc (10) col-1 sh gr -/Times-Roman ff 150.00 scf sf -5925 2850 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6075 2850 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6300 2850 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6450 2850 m -gs 1 -1 sc (10) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6675 2850 m -gs 1 -1 sc (12) col-1 sh gr -/Times-Roman ff 150.00 scf sf -6900 2850 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -7050 2850 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -7275 2850 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -7500 2850 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -7650 2850 m -gs 1 -1 sc (12) col-1 sh gr -/Times-Roman ff 150.00 scf sf -7875 2850 m -gs 1 -1 sc (14) col-1 sh gr -/Times-Roman ff 150.00 scf sf -8100 2850 m -gs 1 -1 sc (9) col-1 sh gr -/Times-Roman ff 150.00 scf sf -8250 2850 m -gs 1 -1 sc (13) col-1 sh gr -% Polyline -n 150 2250 m 8550 2250 l 8550 3000 l 150 3000 l - cp gs col-1 s gr -/Times-Roman ff 150.00 scf sf -600 2550 m -gs 1 -1 sc (xadj) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 150.00 scf sf -600 2850 m -gs 1 -1 sc (adjncy) dup sw pop neg 0 rm col-1 sh gr -/Times-Roman ff 180.00 scf sf -150 2175 m -gs 1 -1 sc (Description of the graph on a serial computer \(serial MeTiS\)) col-1 sh gr -% Polyline -n 3300 600 m - 4500 600 l gs col-1 s gr -% Polyline -n 3600 300 m - 3600 900 l gs col-1 s gr -% Polyline -n 3300 300 m 4500 300 l 4500 900 l 3300 900 l - 3300 300 l cp gs col-1 s gr -% Polyline -n 3900 300 m - 3900 900 l gs col-1 s gr -% Polyline -n 4200 300 m - 4200 900 l gs col-1 s gr -/Times-Roman ff 150.00 scf sf -3150 450 m -gs 1 -1 sc (0) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3450 450 m -gs 1 -1 sc (1) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 450 m -gs 1 -1 sc (2) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4050 450 m -gs 1 -1 sc (3) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4350 450 m -gs 1 -1 sc (4) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3150 750 m -gs 1 -1 sc (5) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3450 750 m -gs 1 -1 sc (6) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3750 750 m -gs 1 -1 sc (7) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4050 750 m -gs 1 -1 sc (8) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4350 750 m -gs 1 -1 sc (9) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4425 1125 m -gs 1 -1 sc (14) col-1 sh gr -/Times-Roman ff 150.00 scf sf -4125 1125 m -gs 1 -1 sc (13) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3825 1125 m -gs 1 -1 sc (12) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3525 1125 m -gs 1 -1 sc (11) col-1 sh gr -/Times-Roman ff 150.00 scf sf -3225 1125 m -gs 1 -1 sc (10) col-1 sh gr -/Helvetica-Bold ff 210.00 scf sf -3900 1500 m -gs 1 -1 sc (\(a\) A sample graph) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold ff 210.00 scf sf -3900 3375 m -gs 1 -1 sc (\(b\) Serial CSR format) dup sw pop 2 div neg 0 rm col-1 sh gr -/Helvetica-Bold ff 210.00 scf sf -3900 7950 m -gs 1 -1 sc (\(c\) Distributed CSR format) dup sw pop 2 div neg 0 rm col-1 sh gr -$F2psEnd -rs - -%%EndDocument - @endspecial 0 5844 a Fx(Figure)49 b(5)p FK(:)74 b Fw(An)48 -b(e)l(xample)g(of)g(the)g(par)o(ameters)g(passed)f(to)52 -b(P)-6 b Fv(A)8 b(R)g Fw(M)-9 b Fv(E)-34 b Fw(T)g Fv(I)p -Fw(S)55 b(in)48 b(a)g(three)g(processor)g(case)n(.)78 -b(The)48 b(arr)o(a)l(ys)h Fj(vwgt)e Fw(and)g Fj(adjwgt)f -Fw(are)0 6043 y(assumed)37 b(to)h(be)f(NULL.)0 6377 y -FK(processor)f(needs)f(its)h(local)h Fj(xadj)d FK(array)j(to)f(point)h -(to)g(where)f(each)f(of)i(its)f(local)g(v)n(ertices')g(adjacenc)n(y)f -(lists)h(be)n(gin)f(and)i(end.)49 b(Thus,)37 b(if)0 6597 -y(we)i(tak)n(e)h(all)f(the)h(local)f Fj(adjncy)e FK(arrays)j(and)f -(concatenate)f(them,)i(we)f(will)h(get)f(e)n(xactly)g(the)g(same)g -Fj(adjncy)e FK(array)j(that)g(is)f(used)g(in)0 6816 y(the)k(serial)g -(CSR.)g(Ho)l(we)l(v)n(er)-7 b(,)42 b(concatenating)g(the)i(local)f -Fj(xadj)e FK(arrays)i(will)h(not)f(gi)l(v)n(e)g(us)g(the)g(serial)g -Fj(xadj)f FK(array)-11 b(.)56 b(This)43 b(is)g(because)0 -7035 y(the)50 b(entries)f(in)h(each)f(local)h Fj(xadj)e -FK(must)i(point)g(to)g(their)h(local)e Fj(adjncy)f FK(array)-11 -b(,)52 b(and)d(so,)i Fj(xadj[)p FK(0)p Fj(])d FK(is)i(zero)f(for)i(all) -f(processors.)0 7254 y(In)d(addition)f(to)h(these)f(four)h(arrays,)f -(each)g(processor)g(also)f(requires)i(the)f(array)g Fj(vtxdist[)19 -b Fy(p)43 b FL(C)d FK(1)p Fj(])46 b FK(that)h(indicates)e(the)i(range)f -(of)0 7473 y(v)n(ertices)f(that)i(are)f(local)h(to)g(each)e(processor) --9 b(.)66 b(In)47 b(particular)-7 b(,)48 b(processor)61 -b Fy(P)4428 7498 y Fh(i)4530 7473 y FK(stores)46 b(the)g(v)n(ertices)g -(from)h Fj(vtxdist[)o Fy(i)16 b Fj(])43 b FK(up)k(to)g(\(b)m(ut)0 -7693 y(not)42 b(including\))g(v)n(erte)n(x)e Fj(vtxdist[)o -Fy(i)50 b FL(C)37 b FK(1)p Fj(])p FK(.)199 7912 y(Figure)42 -b(5\(c\))g(illustrates)f(the)g(distrib)m(uted)g(CSR)h(format)g(by)f(an) -g(e)n(xample)f(on)i(a)f(three-processor)g(system.)50 -b(The)41 b(15-v)n(erte)n(x)g(graph)0 8131 y(in)65 b(Figure)g(5\(a\))g -(is)g(distrib)m(uted)g(among)f(the)h(processors)f(so)g(that)h(each)f -(processor)g(gets)g(5)h(v)n(ertices)e(and)i(their)g(corresponding)0 -8350 y(adjacenc)n(y)e(lists.)121 b(That)65 b(is,)70 b(Processor)64 -b(Zero)i(gets)e(v)n(ertices)g(0)g(through)i(4,)k(Processor)64 -b(One)h(gets)f(v)n(ertices)g(5)h(through)g(9,)70 b(and)0 -8569 y(Processor)54 b(T)-13 b(w)n(o)56 b(gets)e(v)n(ertices)g(10)h -(through)h(14.)91 b(This)55 b(\002gure)g(sho)l(ws)f(the)h -Fj(xadj)p FK(,)h Fj(adjncy)p FK(,)g(and)e Fj(vtxdist)f -FK(arrays)h(for)i(each)0 8788 y(processor)-9 b(.)50 b(Note)41 -b(that)h(the)f Fj(vtxdist)e FK(array)j(will)g(al)n(w)n(ays)f(be)g -(identical)h(for)g(e)l(v)n(ery)e(processor)-9 b(.)199 -9008 y(All)33 b(\002)l(v)n(e)f(arrays)h(that)f(describe)g(the)h -(distrib)m(uted)g(CSR)f(format)i(are)e(de\002ned)h(in)j -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)40 b FK(to)33 b(be)f(of)h(type)g Fj(idxtype)p FK(.)45 -b(By)33 b(def)n(ault)0 9227 y Fj(idxtype)50 b FK(is)i(set)f(to)i(be)f -(equi)l(v)l(alent)f(to)i(type)f Fj(int)f FK(\()p Fs(i.e)p -FK(.,)j(inte)n(gers\).)82 b(Ho)l(we)l(v)n(er)-7 b(,)54 -b Fj(idxtype)49 b FK(can)j(be)g(made)g(to)g(be)g(equi)l(v)l(alent)g(to) -0 9446 y(a)d Fj(short)98 b(int)47 b FK(for)j(certain)f(architectures)f -(that)h(use)g(64-bit)h(inte)n(gers)e(by)h(def)n(ault.)74 -b(\(Note)49 b(that)g(doing)h(so)e(will)i(cut)f(the)g(memory)0 -9665 y(usage)h(and)h(communication)g(time)g(required)h(approximately)f -(in)g(half.\))80 b(The)52 b(con)-7 b(v)n(ersion)50 b(of)h -Fj(idxtype)e FK(from)j Fj(int)e FK(to)h Fj(short)0 9884 -y FK(can)46 b(be)g(done)h(by)f(modifying)i(the)e(\002le)h -Fj(parmetis.h)p FK(.)62 b(\(Instructions)47 b(are)f(included)h -(there.\))66 b(The)47 b(same)e Fj(idxtype)f FK(is)j(used)e(for)0 -10104 y(the)c(arrays)h(that)f(store)g(the)h(computed)f(partitioning)i -(and)e(permutation)h(v)n(ectors.)199 10323 y(When)51 -b(multiple)i(v)n(erte)n(x)d(weights)i(are)f(used)g(for)h -(multi-constraint)h(partitioning,)h(the)e Fy(c)j FK(v)n(erte)n(x)50 -b(weights)i(for)g(each)f(v)n(erte)n(x)f(are)0 10542 y(stored)f -(contiguously)g(in)g(the)g Fj(vwgt)e FK(array)-11 b(.)74 -b(In)49 b(this)g(case,)h(the)e Fj(vwgt)g FK(array)h(is)g(of)g(size)f -Fy(n)7 b(c)s FK(,)51 b(where)e Fy(n)56 b FK(is)49 b(the)g(number)g(of)h -(locally-)0 10761 y(stored)41 b(v)n(ertices)g(and)g Fy(c)k -FK(is)c(the)g(number)h(of)g(v)n(erte)n(x)e(weights)h(\(and)h(also)f -(the)g(number)h(of)g(balance)f(constraints\).)3817 11298 -y(13)p eop -%%Page: 14 14 -14 13 bop 0 166 a Ft(4.2)199 b(Format)55 b(of)g(V)-10 -b(er)t(te)m(x)55 b(Coor)l(dinates)0 485 y FK(As)37 b(discussed)g(in)h -(Section)g(3.1,)k FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)44 b FK(pro)n(vides)38 b(routines)g(that)g(use)f -(the)h(coordinate)g(information)h(of)f(the)g(v)n(ertices)f(to)h -(quickly)0 704 y(pre-distrib)m(ute)65 b(the)f(graph,)70 -b(and)64 b(so,)70 b(speedup)63 b(the)i(e)n(x)n(ecution)e(of)i(the)f -(parallel)h Fy(k)10 b FK(-w)n(ay)64 b(partitioning.)121 -b(These)64 b(coordinates)g(are)0 923 y(speci\002ed)f(in)g(an)g(array)h -(called)f Fj(xyz)f FK(of)i(single)f(precision)g(\003oating)g(point)h -(numbers)f(\()p Fs(i.e)p FK(.,)68 b Fj(float)p FK(\).)115 -b(If)64 b Fy(d)76 b FK(is)63 b(the)g(number)h(of)0 1142 -y(dimensions)48 b(of)i(the)e(mesh)h(\()p Fs(i.e)o FK(.,)h -Fy(d)72 b FL(D)60 b FK(2)49 b(for)g(2D)g(meshes)e(or)j -Fy(d)72 b FL(D)59 b FK(3)49 b(for)h(3D)e(meshes\),)i(then)e(each)g -(processor)h(requires)f(an)h(array)0 1362 y(of)i(size)g -Fy(d)56 b FL(\003)44 b Fy(n)858 1387 y Fh(i)914 1362 -y FK(,)53 b(where)e Fy(n)1555 1387 y Fh(i)1662 1362 y -FK(is)g(the)g(number)g(of)h(locally-stored)f(v)n(ertices.)79 -b(\(Note)51 b(that)g(the)g(number)g(of)h(dimensions)f(of)g(the)g(mesh,) -0 1581 y Fy(d)12 b FK(,)55 b(is)d(required)g(as)g(a)g(parameter)g(to)h -(the)f(routine.\))84 b(In)52 b(this)h(array)-11 b(,)54 -b(the)e(coordinates)g(of)h(v)n(erte)n(x)d Fy(i)68 b FK(are)52 -b(stored)g(starting)h(at)f(location)0 1800 y Fj(xyz[)o -Fy(i)42 b FL(\003)28 b Fy(d)12 b Fj(])39 b FK(up)g(to)g(\(b)m(ut)g(not) -h(including\))f(location)g Fj(xyz[)o Fy(i)k FL(\003)27 -b Fy(d)40 b FL(C)27 b Fy(d)12 b Fj(])p FK(.)51 b(F)n(or)39 -b(e)n(xample,)f(if)h Fy(d)59 b FL(D)46 b FK(3,)39 b(then)g(the)g(x,)g -(y)-11 b(,)39 b(and)g(z)g(coordinates)0 2019 y(of)j(v)n(erte)n(x)d -Fy(i)58 b FK(are)41 b(stored)g(at)h Fj(xyz[3*i])p FK(,)c -Fj(xyz[3*i+1])p FK(,)f(and)k Fj(xyz[3*i+2])p FK(,)d(respecti)l(v)n(ely) --11 b(.)0 2474 y Ft(4.3)199 b(Format)55 b(of)g(the)h(Input)f(Mesh)0 -2793 y FK(The)98 b(routine)h FA(P)-7 b(arMETIS)p 1693 -2793 50 7 v 61 w(V3)p 1957 2793 V 60 w(P)g(ar)7 b(tMeshKw)n(a)-5 -b(y)99 b FK(tak)n(es)e(a)h(distrib)m(uted)g(mesh)g(and)g(computes)f -(its)h(partitioning,)113 b(while)0 3012 y FA(P)-7 b(arMETIS)p -768 3012 V 61 w(V3)p 1032 3012 V 60 w(Mesh2Dual)58 b -FK(2dual)f(tak)n(es)g(a)f(distrib)m(uted)h(mesh)f(and)h(constructs)f(a) -h(distrib)m(uted)g(dual)g(graph.)97 b(Both)57 b(of)g(these)0 -3231 y(routines)41 b(require)h(an)f Fj(elmdist)e FK(array)i(that)h -(speci\002es)e(the)h(distrib)m(ution)h(of)g(the)f(mesh)g(elements,)f(b) -m(ut)i(that)f(is)g(otherwise)g(identical)0 3450 y(to)53 -b(the)f Fj(vtxdist)e FK(array)-11 b(.)84 b(The)n(y)52 -b(also)g(require)h(a)f(pair)h(of)f(arrays)g(called)g -Fj(eptr)f FK(and)i Fj(eind)p FK(,)g(as)f(well)g(as)g(the)g(inte)n(ger)g -(parameter)0 3670 y Fj(ncommonnodes)p FK(.)199 3889 y(The)e -Fj(eptr)e FK(and)h Fj(eind)f FK(arrays)h(are)h(similar)g(in)f(nature)h -(to)f(the)h Fj(xadj)e FK(and)h Fj(adjncy)e FK(arrays)j(used)e(to)i -(specify)f(the)h(adjacenc)n(y)0 4108 y(list)44 b(of)f(a)g(graph)h(b)m -(ut)f(no)l(w)g(for)i(each)d(element)h(the)n(y)g(specify)g(the)g(set)g -(of)h(nodes)f(that)g(mak)n(e)h(up)f(each)g(element.)56 -b(Speci\002cally)-11 b(,)44 b(the)g(set)0 4327 y(of)d(nodes)f(that)h -(belong)g(to)g(element)f Fy(i)57 b FK(is)40 b(stored)h(in)g(array)g -Fj(eind)e FK(starting)i(at)g(inde)n(x)f Fj(eptr[)o Fy(i)16 -b Fj(])39 b FK(and)i(ending)g(at)f(\(b)m(ut)h(not)g(including\))0 -4546 y(inde)n(x)e Fj(eptr[)o Fy(i)j FL(C)27 b FK(1)p -Fj(])39 b FK(\(in)g(other)h(w)n(ords,)f Fj(eind[eptr[)o -Fy(i)16 b Fj(]])35 b FK(up)k(through)g(and)g(including)h -Fj(eind[eptr[)o Fy(i)g FL(C)27 b FK(1)p Fj(]-1])p FK(\).)49 -b(Hence,)0 4765 y(the)54 b(node)g(lists)f(for)i(each)e(element)h(are)g -(stored)f(consecuti)l(v)n(ely)g(in)h(the)g(array)g Fj(eind)p -FK(.)87 b(This)54 b(format)h(allo)l(ws)e(the)h(speci\002cation)g(of)0 -4985 y(meshes)40 b(that)i(contain)f(elements)g(of)h(mix)n(ed)f(type.) -199 5204 y(The)58 b Fj(ncommonnodes)53 b FK(parameter)k(speci\002es)g -(the)g(de)n(gree)g(of)g(connecti)l(vity)h(that)f(is)h(desired)f -(between)f(the)i(v)n(ertices)e(of)i(the)0 5423 y(dual)50 -b(graph.)77 b(Speci\002cally)-11 b(,)52 b(an)d(edge)h(is)g(placed)f -(between)g(tw)n(o)i(v)n(ertices)e(if)h(their)h(corresponding)e(mesh)h -(elements)f(share)h(at)g(least)4 5642 y Fy(g)55 b FK(nodes,)50 -b(where)j Fy(g)i FK(is)49 b(the)g Fj(ncommonnodes)c FK(parameter)-9 -b(.)74 b(Hence,)49 b(this)g(parameter)g(can)g(be)g(set)g(to)g(result)g -(in)g(a)g(traditional)h(dual)0 5861 y(graph)57 b(\()p -Fs(e)n(.g)o FK(.,)i(a)d(v)l(alue)g(of)h(tw)n(o)f(for)h(a)g(triangle)f -(mesh)g(or)h(a)f(v)l(alue)g(of)h(four)g(for)g(a)f(he)n(xahedral)f -(mesh\).)96 b(Ho)l(we)l(v)n(er)-7 b(,)59 b(it)d(can)g(also)g(be)0 -6081 y(set)43 b(higher)i(or)f(lo)l(wer)g(for)g(increased)f(or)i -(decreased)d(connecti)l(vity)-11 b(.)58 b FA(P)-7 b(arMETIS)p -4760 6081 V 61 w(V3)p 5024 6081 V 60 w(P)g(ar)7 b(tMeshKw)n(a)-5 -b(y)45 b FK(additionally)f(requires)g(an)0 6300 y Fj(elmwgt)39 -b FK(array)j(that)f(is)h(analogous)e(to)i(the)g Fj(vwgt)e -FK(array)-11 b(.)0 6755 y Ft(4.4)199 b(Format)55 b(of)g(the)h(Computed) -e(P)-6 b(ar)t(titionings)55 b(and)g(Or)l(derings)0 7074 -y FB(Format)45 b(of)h(the)f(P)-5 b(ar)s(titioning)48 -b(Arra)m(y)198 b FK(The)40 b(partitioning)h(and)f(repartitioning)h -(routines)f(require)h(that)f(arrays)f(\(called)h Fj(part)p -FK(\))0 7293 y(of)54 b(sizes)e Fy(n)657 7318 y Fh(i)767 -7293 y FK(\(where)i Fy(n)1371 7318 y Fh(i)1480 7293 y -FK(is)g(the)f(number)h(of)g(local)f(v)n(ertices\))g(be)g(passed)g(as)f -(parameters)h(to)h(each)f(processor)-9 b(.)86 b(Upon)54 -b(completion)0 7512 y(of)h(the)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)62 b FK(routine,)c(for)e(each)e -(v)n(erte)n(x)81 b Fy(j)16 b FK(,)58 b(the)d(sub-domain)g(number)h(\()p -Fs(i.e)o FK(.,)i(the)d(processor)f(label\))h(to)g(which)g(this)g(v)n -(erte)n(x)0 7731 y(belongs)37 b(will)g(ha)m(v)n(e)f(been)h(written)g -(to)h Fj(part[)27 b Fy(j)16 b Fj(])p FK(.)48 b(Note)37 -b(that)k FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b -FA(T)g FG(I)p FA(S)44 b FK(does)36 b(not)i(redistrib)m(ute)f(the)g -(graph)g(according)g(to)g(the)h(ne)l(w)0 7950 y(partitioning,)k(it)g -(simply)f(computes)g(the)h(partitioning)g(and)f(writes)h(it)g(to)f(the) -h Fj(part)e FK(array)-11 b(.)199 8169 y(Additionally)g(,)45 -b(whene)l(v)n(er)d(the)i(number)g(of)f(sub-domains)h(does)f(not)h -(equal)f(the)g(number)h(of)g(processors)f(that)h(are)f(used)g(to)h -(com-)0 8389 y(pute)50 b(a)g(repartitioning,)j FA(P)-7 -b(arMETIS)p 2226 8389 V 61 w(V3)p 2490 8389 V 59 w(Adaptiv)l(eRepar)7 -b(t)52 b FK(requires)e(that)g(the)g(pre)l(viously)g(computed)g -(partitioning)h(be)f(passed)0 8608 y(as)i(a)h(parameter)g(via)g(the)g -Fj(part)e FK(array)-11 b(.)86 b(\(This)53 b(is)g(also)f(required)i -(whene)l(v)n(er)d(the)i(user)g(chooses)f(to)h(de-couple)f(the)h -(sub-domains)0 8827 y(from)44 b(the)g(processors.)56 -b(See)43 b(discussion)g(in)h(Section)f(5.2.\))57 b(This)44 -b(is)g(because)e(the)h(initial)h(partitioning)h(needs)e(to)g(be)h -(obtained)f(from)0 9046 y(the)h(v)l(alues)g(supplied)g(in)g(the)h -Fj(part)d FK(array)-11 b(.)60 b(If)45 b(the)f(numbers)h(of)f -(sub-domains)g(and)g(processors)g(are)g(equal,)g(then)g(the)g(initial)h -(parti-)0 9265 y(tioning)e(can)f(be)g(obtained)g(from)h(the)f(initial)h -(graph)g(distrib)m(ution,)f(and)g(so)g(this)g(information)i(need)e(not) -g(be)g(supplied.)54 b(\(In)42 b(this)h(case,)0 9484 y(for)f(each)f -(processor)f Fy(i)16 b FK(,)41 b(e)l(v)n(ery)f(element)i(of)f -Fj(part)f FK(w)n(ould)i(be)g(set)f(to)f Fy(i)16 b FK(.\))0 -9903 y FB(Format)37 b(of)h(the)g(P)-5 b(erm)m(utation)38 -b(Arra)m(y)198 b FK(Lik)n(e)l(wise,)35 b(each)d(processor)g(running)h -FA(P)-7 b(arMETIS)p 5708 9903 V 61 w(V3)p 5972 9903 V -60 w(NodeND)34 b FK(writes)e(its)h(portion)0 10122 y(of)54 -b(the)g(computed)f(\002ll-reducing)i(ordering)f(to)g(an)f(array)h -(called)f Fj(order)p FK(.)86 b(Similar)55 b(to)f(the)f -Fj(part)f FK(array)-11 b(,)57 b(the)d(size)e(of)i Fj(order)e -FK(is)0 10341 y(equal)47 b(to)g(the)h(number)f(of)h(v)n(ertices)e -(stored)h(at)g(each)g(processor)-9 b(.)68 b(Upon)47 b(completion,)h -(for)g(each)f(v)n(erte)n(x)73 b Fy(j)16 b FK(,)49 b Fj(order[)27 -b Fy(j)16 b Fj(])45 b FK(stores)i(the)0 10560 y(ne)l(w)41 -b(global)h(number)f(of)h(this)g(v)n(erte)n(x)e(in)i(the)f -(\002ll-reducing)i(permutation.)199 10780 y(Besides)63 -b(the)h(ordering)g(v)n(ector)-7 b(,)69 b FA(P)-7 b(arMETIS)p -2958 10780 V 61 w(V3)p 3222 10780 V 60 w(NodeND)64 b -FK(also)g(returns)g(information)h(about)f(the)g(sizes)e(of)j(the)e(dif) -l(ferent)3817 11298 y(14)p eop -%%Page: 15 15 -15 14 bop 1500 2086 a @beginspecial 0 @llx 0 @lly 412 -@urx 179 @ury 2880 @rwi @setspecial -%%BeginDocument: ./figures/stree.eps -%!PS-Adobe-2.0 EPSF-2.0 -%%Title: stree.fig -%%Creator: fig2dev Version 3.1 Patchlevel 1 -%%CreationDate: Thu Jul 17 14:01:58 1997 -%%For: karypis@in19 (George Karypis) -%%Orientation: Portrait -%%BoundingBox: 0 0 412 179 -%%Pages: 0 -%%BeginSetup -%%IncludeFeature: *PageSize Letter -%%EndSetup -%%EndComments -/$F2psDict 200 dict def -$F2psDict begin -$F2psDict /mtrx matrix put -/col-1 {} def -/col0 {0.000 0.000 0.000 srgb} bind def -/col1 {0.000 0.000 1.000 srgb} bind def -/col2 {0.000 1.000 0.000 srgb} bind def -/col3 {0.000 1.000 1.000 srgb} bind def -/col4 {1.000 0.000 0.000 srgb} bind def -/col5 {1.000 0.000 1.000 srgb} bind def -/col6 {1.000 1.000 0.000 srgb} bind def -/col7 {1.000 1.000 1.000 srgb} bind def -/col8 {0.000 0.000 0.560 srgb} bind def -/col9 {0.000 0.000 0.690 srgb} bind def -/col10 {0.000 0.000 0.820 srgb} bind def -/col11 {0.530 0.810 1.000 srgb} bind def -/col12 {0.000 0.560 0.000 srgb} bind def -/col13 {0.000 0.690 0.000 srgb} bind def -/col14 {0.000 0.820 0.000 srgb} bind def -/col15 {0.000 0.560 0.560 srgb} bind def -/col16 {0.000 0.690 0.690 srgb} bind def -/col17 {0.000 0.820 0.820 srgb} bind def -/col18 {0.560 0.000 0.000 srgb} bind def -/col19 {0.690 0.000 0.000 srgb} bind def -/col20 {0.820 0.000 0.000 srgb} bind def -/col21 {0.560 0.000 0.560 srgb} bind def -/col22 {0.690 0.000 0.690 srgb} bind def -/col23 {0.820 0.000 0.820 srgb} bind def -/col24 {0.500 0.190 0.000 srgb} bind def -/col25 {0.630 0.250 0.000 srgb} bind def -/col26 {0.750 0.380 0.000 srgb} bind def -/col27 {1.000 0.500 0.500 srgb} bind def -/col28 {1.000 0.630 0.630 srgb} bind def -/col29 {1.000 0.750 0.750 srgb} bind def -/col30 {1.000 0.880 0.880 srgb} bind def -/col31 {1.000 0.840 0.000 srgb} bind def - -end -save --89.0 218.0 translate -1 -1 scale - -/clp {closepath} bind def -/ef {eofill} bind def -/gr {grestore} bind def -/gs {gsave} bind def -/l {lineto} bind def -/m {moveto} bind def -/n {newpath} bind def -/s {stroke} bind def -/slc {setlinecap} bind def -/slj {setlinejoin} bind def -/slw {setlinewidth} bind def -/srgb {setrgbcolor} bind def -/rot {rotate} bind def -/sc {scale} bind def -/tr {translate} bind def -/tnt {dup dup currentrgbcolor - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add - 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb} - bind def -/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul - 4 -2 roll mul srgb} bind def - /DrawEllipse { - /endangle exch def - /startangle exch def - /yrad exch def - /xrad exch def - /y exch def - /x exch def - /savematrix mtrx currentmatrix def - x y tr xrad yrad sc 0 0 1 startangle endangle arc - closepath - savematrix setmatrix - } def - -/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def -/$F2psEnd {$F2psEnteredState restore end} def -%%EndProlog - -$F2psBegin -10 setmiterlimit - 0.06000 0.06000 sc -/Times-Roman findfont 180.00 scalefont setfont -5175 3600 m -gs 1 -1 sc (13) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -5625 3600 m -gs 1 -1 sc (11) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -5850 3600 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6075 3600 m -gs 1 -1 sc (3) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -7.500 slw -% Polyline -n 6780 675 m 6675 675 6675 2220 105 arcto 4 {pop} repeat 6675 2325 7020 2325 105 arcto 4 {pop} repeat 7125 2325 7125 780 105 arcto 4 {pop} repeat 7125 675 6780 675 105 arcto 4 {pop} repeat clp gs col7 0.90 shd ef gr gs col-1 s gr -/Times-Roman findfont 180.00 scalefont setfont -6825 3600 m -gs 1 -1 sc (9) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6600 3600 m -gs 1 -1 sc (8) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6300 3600 m -gs 1 -1 sc (12) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4950 3600 m -gs 1 -1 sc (5) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -3600 3600 m -gs 1 -1 sc (1) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -% Polyline -n 2880 675 m 2775 675 2775 2220 105 arcto 4 {pop} repeat 2775 2325 3120 2325 105 arcto 4 {pop} repeat 3225 2325 3225 780 105 arcto 4 {pop} repeat 3225 675 2880 675 105 arcto 4 {pop} repeat clp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 1605 1275 m 1500 1275 1500 1620 105 arcto 4 {pop} repeat 1500 1725 2520 1725 105 arcto 4 {pop} repeat 2625 1725 2625 1380 105 arcto 4 {pop} repeat 2625 1275 1605 1275 105 arcto 4 {pop} repeat clp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 3480 1275 m 3375 1275 3375 1620 105 arcto 4 {pop} repeat 3375 1725 4320 1725 105 arcto 4 {pop} repeat 4425 1725 4425 1380 105 arcto 4 {pop} repeat 4425 1275 3480 1275 105 arcto 4 {pop} repeat clp gs col7 0.90 shd ef gr gs col-1 s gr -/Times-Roman findfont 180.00 scalefont setfont -3825 3600 m -gs 1 -1 sc (0) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4725 3600 m -gs 1 -1 sc (4) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4500 3600 m -gs 1 -1 sc (7) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4275 3600 m -gs 1 -1 sc (6) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4050 3600 m -gs 1 -1 sc (14) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -5400 3600 m -gs 1 -1 sc (10) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Courier-Bold findfont 180.00 scalefont setfont -3225 3600 m -gs 1 -1 sc (order) dup stringwidth pop neg 0 rmoveto col-1 show gr -/Courier-Bold findfont 180.00 scalefont setfont -3225 3225 m -gs 1 -1 sc (sizes) dup stringwidth pop neg 0 rmoveto col-1 show gr -% Polyline -n 7380 1275 m 7275 1275 7275 1620 105 arcto 4 {pop} repeat 7275 1725 8220 1725 105 arcto 4 {pop} repeat 8325 1725 8325 1380 105 arcto 4 {pop} repeat 8325 1275 7380 1275 105 arcto 4 {pop} repeat clp gs col7 0.90 shd ef gr gs col-1 s gr -% Polyline -n 5505 1275 m 5400 1275 5400 1620 105 arcto 4 {pop} repeat 5400 1725 6420 1725 105 arcto 4 {pop} repeat 6525 1725 6525 1380 105 arcto 4 {pop} repeat 6525 1275 5505 1275 105 arcto 4 {pop} repeat clp gs col7 0.90 shd ef gr gs col-1 s gr -/Times-Roman findfont 180.00 scalefont setfont -3825 3225 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4050 3225 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4500 3225 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4275 3225 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -5550 825 m -gs 1 -1 sc (1) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -% Polyline -n 8100 900 m 8100 2100 l gs col-1 s gr -% Polyline -n 5700 1500 m 8100 1500 l gs col-1 s gr -% Polyline -n 5700 2100 m 8175 2100 l gs col-1 s gr -% Polyline -n 5700 900 m 5700 2100 l gs col-1 s gr -% Polyline -n 6300 900 m 6300 2100 l gs col-1 s gr -% Polyline -n 6900 900 m 6900 2100 l gs col-1 s gr -% Polyline -n 7500 900 m 7500 2100 l gs col-1 s gr -/Times-Roman findfont 180.00 scalefont setfont -3600 3225 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4950 3225 m -gs 1 -1 sc (3) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -7350 1425 m -gs 1 -1 sc (10) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -7950 1425 m -gs 1 -1 sc (11) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -5550 2025 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6150 2025 m -gs 1 -1 sc (3) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6750 2025 m -gs 1 -1 sc (12) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -7350 2025 m -gs 1 -1 sc (8) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -7950 2025 m -gs 1 -1 sc (9) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6750 1425 m -gs 1 -1 sc (13) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4725 3225 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6150 825 m -gs 1 -1 sc (0) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6750 825 m -gs 1 -1 sc (14) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -7350 825 m -gs 1 -1 sc (6) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -7950 825 m -gs 1 -1 sc (7) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -5550 1425 m -gs 1 -1 sc (4) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -6150 1425 m -gs 1 -1 sc (5) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -% Polyline -n 5700 900 m 8175 900 l gs col-1 s gr -/Times-Roman findfont 180.00 scalefont setfont -2250 2025 m -gs 1 -1 sc (11) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -1650 2025 m -gs 1 -1 sc (10) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4050 1425 m -gs 1 -1 sc (9) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -3450 1425 m -gs 1 -1 sc (8) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -3450 825 m -gs 1 -1 sc (3) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -1650 1425 m -gs 1 -1 sc (5) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -2250 1425 m -gs 1 -1 sc (6) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -2850 1425 m -gs 1 -1 sc (7) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -2850 2025 m -gs 1 -1 sc (12) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -% Polyline -n 1800 900 m 1800 2100 l gs col-1 s gr -% Polyline -n 1800 2100 m 4275 2100 l gs col-1 s gr -% Polyline -n 1800 900 m 4275 900 l gs col-1 s gr -% Polyline -n 1800 1500 m 4200 1500 l gs col-1 s gr -% Polyline -n 2400 900 m 2400 2100 l gs col-1 s gr -/Times-Roman findfont 180.00 scalefont setfont -3450 2025 m -gs 1 -1 sc (13) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -4050 2025 m -gs 1 -1 sc (14) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -% Polyline -n 3600 900 m 3600 2100 l gs col-1 s gr -% Polyline -n 3000 900 m 3000 2100 l gs col-1 s gr -/Times-Roman findfont 180.00 scalefont setfont -4050 825 m -gs 1 -1 sc (4) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -% Polyline -n 4200 900 m 4200 2100 l gs col-1 s gr -/Times-Roman findfont 180.00 scalefont setfont -1650 825 m -gs 1 -1 sc (0) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -2850 825 m -gs 1 -1 sc (2) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -/Times-Roman findfont 180.00 scalefont setfont -2250 825 m -gs 1 -1 sc (1) dup stringwidth pop 2 div neg 0 rmoveto col-1 show gr -% Ellipse -n 4200 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 4200 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 3600 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 3600 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 3000 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 3000 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 3000 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 1800 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 1800 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 1800 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 2400 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 2400 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 2400 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 4200 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 3600 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 5700 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 7500 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 7500 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 8100 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 8100 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 8100 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 5700 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 5700 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 6300 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 6300 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 6300 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 7500 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 6900 1500 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 6900 900 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Ellipse -n 6900 2100 106 106 0 360 DrawEllipse gs col7 1.00 shd ef gr gs col-1 s gr - -% Polyline -n 3825 3075 m 5550 2250 l gs col7 0.90 shd ef gr gs col-1 s gr -n 5428.80 2274.71 m 5550.00 2250.00 l 5454.69 2328.84 l gs col-1 s gr -% Polyline -n 4275 3075 m 7350 2250 l gs col7 0.90 shd ef gr gs col-1 s gr -n 7226.33 2252.12 m 7350.00 2250.00 l 7241.87 2310.07 l gs col-1 s gr -% Polyline -n 4050 3075 m 7350 1050 l gs col7 0.90 shd ef gr gs col-1 s gr -n 7232.03 1087.19 m 7350.00 1050.00 l 7263.41 1138.33 l gs col-1 s gr -% Polyline -n 4500 3000 m 5400 1800 l gs col7 0.90 shd ef gr gs col-1 s gr -n 5304.00 1878.00 m 5400.00 1800.00 l 5352.00 1914.00 l gs col-1 s gr -% Polyline -n 3600 3000 m 5550 1050 l gs col7 0.90 shd ef gr gs col-1 s gr -n 5443.93 1113.64 m 5550.00 1050.00 l 5486.36 1156.07 l gs col-1 s gr -% Polyline -n 4725 3000 m 7275 1725 l gs col7 0.90 shd ef gr gs col-1 s gr -n 7154.25 1751.83 m 7275.00 1725.00 l 7181.09 1805.50 l gs col-1 s gr -% Polyline -n 4950 3075 m 6600 2325 l gs col7 0.90 shd ef gr gs col-1 s gr -n 6478.34 2347.35 m 6600.00 2325.00 l 6503.17 2401.97 l gs col-1 s gr -$F2psEnd -restore - -%%EndDocument - @endspecial 0 2451 a Fx(Figure)51 b(6)p FK(:)80 b Fw(An)50 -b(e)l(xample)h(of)f(the)g(order)r(ing)h(produced)e(b)n(y)h(P)-5 -b(arMETIS_V3_NodeND.)50 b(Consider)g(the)g(simple)i FK(3)47 -b FL(\002)h FK(5)j Fw(g)o(r)r(id)f(and)g(assume)h(that)0 -2650 y(w)o(e)45 b(ha)n(v)m(e)e(f)l(our)h(processors)n(.)67 -b(P)-5 b(arMETIS_V3_NodeND)44 b(\002nds)g(the)g(three)g(separ)o(ators)g -(that)g(are)g(shaded.)66 b(It)44 b(\002rst)h(\002nds)g(the)f(big)g -(separ)o(ator)g(and)0 2849 y(then)39 b(f)l(or)h(each)f(of)g(the)h(tw)o -(o)f(sub-domains)h(it)g(\002nds)f(the)g(smaller)-7 b(.)54 -b(At)40 b(the)f(end)g(of)h(the)f(order)r(ing,)h(the)f -Fj(order)f Fw(v)m(ector)h(concatenated)f(o)n(v)m(er)i(all)g(the)0 -3049 y(processors)d(will)i(be)e(the)g(one)g(sho)n(wn.)46 -b(Similar)r(ly)-13 b(,)38 b(the)f Fj(sizes)f Fw(arr)o(a)l(ys)i(will)g -(all)g(be)f(identical)g(to)g(the)g(one)g(sho)n(wn,)g(corresponding)f -(to)i(the)f(regions)0 3248 y(pointed)g(to)g(b)n(y)g(the)g(arro)n(ws)n -(.)0 3615 y FK(sub-domains)53 b(as)f(well)h(as)f(the)h(separators)f(at) -h(dif)l(ferent)g(le)l(v)n(els.)84 b(This)54 b(array)f(is)f(called)h -Fj(sizes)e FK(and)i(is)f(of)i(size)e(2)19 b Fy(p)58 b -FK(\(where)72 b Fy(p)58 b FK(is)0 3835 y(the)c(number)h(of)f -(processors\).)89 b(Ev)n(ery)54 b(processor)f(must)i(supply)f(this)g -(array)g(and)g(upon)g(return,)k(each)53 b(of)i(the)f -Fj(sizes)e FK(arrays)i(are)0 4054 y(identical.)199 4273 -y(The)49 b(format)g(of)f(this)g(array)h(is)f(as)f(follo)l(ws.)71 -b(The)49 b(\002rst)68 b Fy(p)53 b FK(entries)48 b(of)h -Fj(sizes)d FK(starting)i(from)h(0)g(to)67 b Fy(p)47 b -FL(\000)42 b FK(1)48 b(store)g(the)g(number)h(of)0 4492 -y(nodes)h(in)g(each)f(one)h(of)h(the)69 b Fy(p)55 b FK(sub-domains.)77 -b(The)50 b(remaining)69 b Fy(p)49 b FL(\000)43 b FK(1)50 -b(entries)g(of)g(this)g(array)h(starting)f(from)h Fj(sizes[)19 -b Fy(p)5 b Fj(])48 b FK(up)i(to)0 4711 y Fj(sizes[)p -FK(2)19 b Fy(p)c FL(\000)c FK(2)p Fj(])32 b FK(store)i(the)g(sizes)f -(of)i(the)f(separators)g(at)g(the)g(log)47 b Fy(p)40 -b FK(le)l(v)n(els)33 b(of)i(nested)e(dissection.)48 b(In)35 -b(particular)-7 b(,)36 b Fj(sizes[)p FK(2)19 b Fy(p)c -FL(\000)c FK(2)p Fj(])0 4930 y FK(stores)37 b(the)h(size)e(of)i(the)g -(top)g(le)l(v)n(el)e(separator)-7 b(,)38 b Fj(sizes[)p -FK(2)19 b Fy(p)28 b FL(\000)23 b FK(4)p Fj(])34 b FK(and)k -Fj(sizes[)p FK(2)19 b Fy(p)28 b FL(\000)23 b FK(3)p Fj(])33 -b FK(store)38 b(the)f(sizes)g(of)h(the)f(tw)n(o)h(separators)f(at)0 -5150 y(the)43 b(second)f(le)l(v)n(el)f(\(from)j(left)f(to)g(right\).)56 -b(Similarly)-11 b(,)44 b Fj(sizes[)p FK(2)19 b Fy(p)41 -b FL(\000)c FK(8)p Fj(])43 b FK(through)g Fj(sizes[)p -FK(2)19 b Fy(p)41 b FL(\000)c FK(5)p Fj(])43 b FK(store)f(the)h(sizes)f -(of)h(the)f(four)0 5369 y(separators)35 b(of)h(the)f(third)h(le)l(v)n -(el)f(\(from)i(left)f(to)f(right\),)j(and)d(so)g(on.)49 -b(This)36 b(array)g(can)f(be)g(used)g(to)h(quickly)f(construct)h(the)f -(separator)g(tree)0 5588 y(\(a)44 b(form)g(of)g(an)g(elimination)g -(tree\))g(for)g(direct)g(f)n(actorization.)58 b(Gi)l(v)n(en)43 -b(this)h(separator)f(tree)g(and)h(the)g(sizes)e(of)i(the)g -(sub-domains,)f(the)0 5807 y(nodes)e(in)g(the)g(ordering)h(produced)f -(by)g FA(P)-7 b(arMETIS)p 3081 5807 50 7 v 61 w(V3)p -3345 5807 V 60 w(NodeND)42 b FK(are)f(numbered)g(in)g(a)g(postorder)g -(f)n(ashion.)51 b(Figure)42 b(6)f(illustrates)0 6026 -y(the)g Fj(sizes)f FK(array)i(and)f(the)g(postorder)h(ordering.)0 -6481 y Ft(4.5)199 b(Numbering)54 b(and)h(Memor)r(y)f(Allocation)4 -6800 y FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)55 b FK(allo)l(ws)48 b(the)g(user)g(to)h(specify)f(a)g -(graph)g(whose)g(numbering)h(starts)f(either)g(at)g(0)h(\(C)f(style\))h -(or)f(at)h(1)f(\(F)n(ortran)h(style\).)72 b(Of)0 7019 -y(course,)62 b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)62 b FK(requires)56 b(that)g(same)f(numbering)h -(scheme)f(be)g(used)g(consistently)g(for)i(all)f(the)f(arrays)h(passed) -e(to)i(it,)j(and)d(it)0 7238 y(writes)41 b(to)h(the)f -Fj(part)f FK(and)i Fj(order)d FK(arrays)j(similarly)-11 -b(.)203 7458 y FA(P)h FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)46 b FK(allocates)38 b(all)h(the)g(memory)h(that)f -(it)h(requires)f(dynamically)-11 b(.)50 b(This)39 b(has)g(the)g(adv)l -(antage)f(that)h(the)h(user)e(does)h(not)g(ha)m(v)n(e)0 -7677 y(to)k(pro)n(vide)g(w)n(orkspace.)56 b(Ho)l(we)l(v)n(er)-7 -b(,)42 b(if)i(there)f(is)g(not)g(enough)g(memory)h(on)f(the)g(machine,) -g(the)g(routines)h(in)j FA(P)-10 b FG(A)8 b(R)g FA(M)-9 -b FG(E)-34 b FA(T)g FG(I)p FA(S)50 b FK(will)43 b(abort.)0 -7896 y(Note)52 b(that)g(the)g(routines)g(in)57 b FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)58 -b FK(do)52 b(not)h(modify)g(the)f(arrays)f(that)i(store)f(the)g(graph)g -(\()p Fs(e)n(.g)o FK(.,)i Fj(xadj)c FK(and)i Fj(adjncy)p -FK(\).)81 b(The)n(y)0 8115 y(only)42 b(modify)g(the)f -Fj(part)f FK(and)i Fj(order)d FK(arrays.)3817 11298 y(15)p -eop -%%Page: 16 16 -16 15 bop 0 170 a FE(5)233 b(Calling)63 b(Sequence)j(of)f(the)g -(Routines)h(in)k(P)-9 b Fu(A)12 b(R)g FE(M)-11 b Fu(E)-46 -b FE(T)g Fu(I)p FE(S)0 522 y FK(The)42 b(calling)f(sequences)f(of)i -(the)j FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)48 b FK(routines)42 b(are)f(described)g(in)g(this)h -(section.)3817 11298 y(16)p eop -%%Page: 17 17 -17 16 bop 0 166 a Ft(5.1)199 b(Graph)54 b(P)-6 b(ar)t(titioning)0 -476 y FB(P)h(arMETIS)p 780 476 50 7 v 60 w(V3)p 1043 -476 V 60 w(P)g(ar)s(tKwa)m(y)42 b FK(\(idxtype)g(*vtxdist,)f(idxtype)h -(*xadj,)f(idxtype)g(*adjnc)n(y)-11 b(,)41 b(idxtype)g(*vwgt,)g(idxtype) -h(*adjwgt,)1886 695 y(int)g(*wgt\003ag,)f(int)h(*num\003ag,)f(int)h -(*ncon,)f(int)h(*nparts,)e(\003oat)i(*tpwgts,)f(\003oat)h(*ub)n(v)n -(ec,)1886 914 y(int)g(*options,)f(int)h(*edgecut,)e(idxtype)i(*part,)f -(MPI)p 4926 914 V 60 w(Comm)h(*comm\))0 1351 y FB(Description)415 -1570 y FK(This)58 b(routine)f(is)h(used)e(to)i(compute)f(a)g -Fy(k)10 b FK(-w)n(ay)58 b(partitioning)g(of)g(a)f(graph)g(on)77 -b Fy(p)62 b FK(processors)56 b(using)i(the)f(multile)l(v)n(el)g -Fy(k)10 b FK(-w)n(ay)415 1789 y(multi-constraint)42 b(partitioning)h -(algorithm.)0 2123 y FB(P)-5 b(arameter)n(s)415 2344 -y FD(vtxdist)268 b FK(This)39 b(array)g(describes)f(ho)l(w)g(the)h(v)n -(ertices)f(of)h(the)f(graph)h(are)g(distrib)m(uted)f(among)h(the)g -(processors.)49 b(\(See)39 b(discus-)1162 2563 y(sion)j(in)f(Section)h -(4.1\).)51 b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f -(processor)-9 b(.)415 2778 y FD(xadj,)42 b(adjncy)1162 -2998 y FK(These)52 b(store)g(the)h(\(local\))f(adjacenc)n(y)f -(structure)h(of)h(the)f(graph)g(at)h(each)e(processor)-9 -b(.)83 b(\(See)52 b(discussion)f(in)i(Sec-)1162 3217 -y(tion)42 b(4.1\).)415 3426 y FD(vwgt,)f(adjwgt)1162 -3645 y FK(These)g(store)h(the)f(weights)g(of)h(the)f(v)n(ertices)g(and) -g(edges.)50 b(\(See)42 b(discussion)e(in)i(Section)f(4.1\).)415 -3912 y FD(wgt\003ag)231 b FK(This)42 b(is)f(used)g(to)h(indicate)f(if)h -(the)f(graph)h(is)f(weighted.)51 b Fs(wgt\003a)n(g)42 -b FK(can)f(tak)n(e)g(one)h(of)f(four)i(v)l(alues:)1162 -4180 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f(adjwgt)h(are)f(both)g -(NULL\).)1162 4423 y(1)166 b(W)-13 b(eights)41 b(on)h(the)f(edges)g -(only)g(\(vwgt)h(is)f(NULL\).)1162 4666 y(2)166 b(W)-13 -b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i(\(adjwgt)g(is)f(NULL\).) -1162 4910 y(3)166 b(W)-13 b(eights)41 b(on)h(both)f(the)h(v)n(ertices)e -(and)h(edges.)415 5177 y FD(num\003ag)167 b FK(This)58 -b(is)f(used)g(to)h(indicate)f(the)g(numbering)h(scheme)e(that)i(is)f -(used)g(for)h(the)f Fs(vtxdist)p FK(,)k Fs(xadj)p FK(,)f -Fs(adjncy)p FK(,)h(and)c Fs(part)1162 5397 y FK(arrays.)51 -b Fs(num\003a)n(g)42 b FK(can)f(tak)n(e)g(one)h(of)f(tw)n(o)h(v)l -(alues:)1162 5664 y(0)166 b(C-style)42 b(numbering)g(that)f(starts)g -(from)h(0.)1162 5907 y(1)166 b(F)n(ortran-style)42 b(numbering)g(that)g -(starts)f(from)h(1.)415 6175 y FD(ncon)406 b FK(This)47 -b(is)e(used)h(to)g(specify)f(the)h(number)g(of)h(weights)e(that)h(each) -f(v)n(erte)n(x)g(has.)64 b(It)46 b(is)g(also)g(the)f(number)i(of)f -(balance)1162 6394 y(constraints)41 b(that)h(must)f(be)h(satis\002ed.) -415 6662 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h(specify)f(the) -g(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 6881 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 7148 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 7367 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -7587 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 7806 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 8025 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 8244 y(gi)l(v)n(e)41 -b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)415 8512 -y FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -8731 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 8950 y FK(weights)41 -b(is)h(recommended.)415 9217 y FD(options)231 b FK(This)38 -b(is)e(an)h(array)h(of)f(inte)n(gers)f(that)h(is)g(used)g(to)g(pass)f -(additional)h(parameters)g(for)h(the)f(routine.)49 b(If)38 -b Fs(options[0]=0)p FK(,)1162 9437 y(then)54 b(the)f(def)n(ault)i(v)l -(alues)d(are)i(used.)87 b(If)54 b Fs(options[0]=1)p FK(,)h(then)f(the)g -(remaining)g(tw)n(o)g(elements)f(of)h Fs(options)f FK(are)1162 -9656 y(interpreted)42 b(as)f(follo)l(ws:)1162 9923 y(options[1])222 -b(This)45 b(speci\002es)f(the)h(le)l(v)n(el)f(of)h(information)g(to)g -(be)g(returned)g(during)g(the)g(e)n(x)n(ecution)e(of)i(the)g(algo-)2066 -10142 y(rithm.)61 b(T)-6 b(iming)46 b(information)f(can)f(be)h -(obtained)f(by)h(setting)f(this)g(to)h(1.)60 b(Additional)45 -b(options)f(for)2066 10362 y(this)i(parameter)f(can)f(be)h(obtained)g -(by)h(looking)f(at)g(the)g(the)g(\002le)h Fj(defs.h)d -FK(in)i(the)g Fj(ParMETIS-)2066 10581 y(Lib)39 b FK(directory)-11 -b(.)51 b(The)40 b(numerical)g(v)l(alues)f(there)h(should)f(be)h(added)f -(to)h(obtain)g(the)g(correct)g(v)l(alue.)2066 10800 y(The)i(def)n(ault) -g(v)l(alue)f(is)g(0.)3817 11298 y(17)p eop -%%Page: 18 18 -18 17 bop 1162 166 a FK(options[2])222 b(This)42 b(is)f(the)h(random)g -(number)f(seed)g(for)h(the)f(routine.)52 b(The)42 b(def)n(ault)f(v)l -(alue)h(is)f(15.)415 452 y FD(edgecut)203 b FK(Upon)51 -b(successful)f(completion,)k(the)d(number)g(of)h(edges)e(that)h(are)g -(cut)g(by)h(the)f(partitioning)h(is)f(written)h(to)f(this)1162 -671 y(parameter)-9 b(.)415 956 y FD(part)443 b FK(This)33 -b(is)f(an)f(array)i(of)f(size)f(equal)h(to)g(the)g(number)h(of)f -(locally-stored)g(v)n(ertices.)47 b(Upon)32 b(successful)f(completion)h -(the)1162 1176 y(partition)43 b(v)n(ector)d(of)i(the)g(locally-stored)f -(v)n(ertices)g(is)g(written)h(to)g(this)f(array)-11 b(.)51 -b(\(See)42 b(discussion)e(in)i(Section)g(4.4\).)415 1461 -y FD(comm)314 b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g -(communicator)h(of)f(the)g(processes)e(that)i(call)k -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)t FK(.)46 b(F)n(or)e(most)g(programs)1162 1680 y(this)e(will)g -(point)g(to)f Fj(MPI)p 2607 1680 50 7 v 59 w(COMM)p 3066 -1680 V 58 w(WORLD)p FK(.)3817 11298 y(18)p eop -%%Page: 19 19 -19 18 bop 0 166 a FB(P)-5 b(arMETIS)p 780 166 50 7 v -60 w(V3)p 1043 166 V 60 w(P)g(ar)s(tGeomKwa)m(y)42 b -FK(\(idxtype)g(*vtxdist,)g(idxtype)f(*xadj,)g(idxtype)h(*adjnc)n(y)-11 -b(,)40 b(idxtype)i(*vwgt,)f(idxtype)h(*adjwgt,)2356 385 -y(int)g(*wgt\003ag,)f(int)h(*num\003ag,)g(int)g(*ndims,)f(\003oat)g -(*xyz,)g(int)h(*ncon,)f(int)h(*nparts,)2356 604 y(\003oat)g(*tpwgts,)f -(\003oat)h(*ub)n(v)n(ec,)d(int)j(*options,)f(int)h(*edgecut,)f(idxtype) -g(*part,)2356 824 y(MPI)p 2661 824 V 60 w(Comm)h(*comm\))0 -1342 y FB(Description)415 1561 y FK(This)47 b(routine)g(is)g(used)f(to) -h(compute)f(a)h Fy(k)10 b FK(-w)n(ay)46 b(partitioning)i(of)f(a)f -(graph)h(on)66 b Fy(p)52 b FK(processors)45 b(by)i(combining)g(the)g -(coordinate-)415 1780 y(based)41 b(and)g(multi-constraint)h -Fy(k)10 b FK(-w)n(ay)42 b(partitioning)g(schemes.)0 2132 -y FB(P)-5 b(arameter)n(s)415 2371 y FD(vtxdist)268 b -FK(This)39 b(array)g(describes)f(ho)l(w)g(the)h(v)n(ertices)f(of)h(the) -f(graph)h(are)g(distrib)m(uted)f(among)h(the)g(processors.)49 -b(\(See)39 b(discus-)1162 2590 y(sion)j(in)f(Section)h(4.1\).)51 -b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f(processor) --9 b(.)415 2824 y FD(xadj,)42 b(adjncy)1162 3043 y FK(These)52 -b(store)g(the)h(\(local\))f(adjacenc)n(y)f(structure)h(of)h(the)f -(graph)g(at)h(each)e(processor)-9 b(.)83 b(\(See)52 b(discussion)f(in)i -(Sec-)1162 3262 y(tion)42 b(4.1\).)415 3489 y FD(vwgt,)f(adjwgt)1162 -3708 y FK(These)g(store)h(the)f(weights)g(of)h(the)f(v)n(ertices)g(and) -g(edges.)50 b(\(See)42 b(discussion)e(in)i(Section)f(4.1\).)415 -3994 y FD(wgt\003ag)231 b FK(This)42 b(is)f(used)g(to)h(indicate)f(if)h -(the)f(graph)h(is)f(weighted.)51 b Fs(wgt\003a)n(g)42 -b FK(can)f(tak)n(e)g(one)h(of)f(four)i(v)l(alues:)1162 -4279 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f(adjwgt)h(are)f(both)g -(NULL\).)1162 4532 y(1)166 b(W)-13 b(eights)41 b(on)h(the)f(edges)g -(only)g(\(vwgt)h(is)f(NULL\).)1162 4784 y(2)166 b(W)-13 -b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i(\(adjwgt)g(is)f(NULL\).) -1162 5036 y(3)166 b(W)-13 b(eights)41 b(on)h(both)f(the)h(v)n(ertices)e -(and)h(edges.)415 5322 y FD(num\003ag)167 b FK(This)58 -b(is)f(used)g(to)h(indicate)f(the)g(numbering)h(scheme)e(that)i(is)f -(used)g(for)h(the)f Fs(vtxdist)p FK(,)k Fs(xadj)p FK(,)f -Fs(adjncy)p FK(,)h(and)c Fs(part)1162 5541 y FK(arrays.)51 -b Fs(num\003a)n(g)42 b FK(can)f(tak)n(e)g(one)h(of)f(tw)n(o)h(v)l -(alues:)1162 5827 y(0)166 b(C-style)42 b(numbering)g(that)f(starts)g -(from)h(0.)1162 6079 y(1)166 b(F)n(ortran-style)42 b(numbering)g(that)g -(starts)f(from)h(1.)415 6365 y FD(ndims)314 b FK(The)42 -b(number)g(of)g(dimensions)f(of)g(the)h(space)e(in)i(which)f(the)h -(graph)f(is)g(embedded.)415 6650 y FD(xyz)507 b FK(The)42 -b(array)g(storing)f(the)h(coordinates)f(of)h(the)f(v)n(ertices)f -(\(described)h(in)h(Section)g(4.2\).)415 6936 y FD(ncon)406 -b FK(This)47 b(is)e(used)h(to)g(specify)f(the)h(number)g(of)h(weights)e -(that)h(each)f(v)n(erte)n(x)g(has.)64 b(It)46 b(is)g(also)g(the)f -(number)i(of)f(balance)1162 7155 y(constraints)41 b(that)h(must)f(be)h -(satis\002ed.)415 7441 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h -(specify)f(the)g(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 7660 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 7946 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 8165 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -8384 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 8603 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 8822 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 9041 y(gi)l(v)n(e)41 -b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)415 9327 -y FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -9546 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 9765 y FK(weights)41 -b(is)h(recommended.)415 10051 y FD(options)231 b FK(This)36 -b(is)f(an)g(array)g(of)h(inte)n(gers)f(that)g(is)g(used)g(to)g(pass)g -(parameters)f(to)i(the)f(routine.)49 b(Their)36 b(meanings)f(are)g -(identical)1162 10270 y(to)42 b(those)f(of)h FA(P)-7 -b(arMETIS)p 2673 10270 V 61 w(V3)p 2937 10270 V 60 w(P)g(ar)7 -b(tKw)n(a)-5 b(y)p FK(.)415 10556 y FD(edgecut)203 b -FK(Upon)51 b(successful)f(completion,)k(the)d(number)g(of)h(edges)e -(that)h(are)g(cut)g(by)h(the)f(partitioning)h(is)f(written)h(to)f(this) -1162 10775 y(parameter)-9 b(.)3817 11298 y(19)p eop -%%Page: 20 20 -20 19 bop 415 166 a FD(part)443 b FK(This)33 b(is)f(an)f(array)i(of)f -(size)f(equal)h(to)g(the)g(number)h(of)f(locally-stored)g(v)n(ertices.) -47 b(Upon)32 b(successful)f(completion)h(the)1162 385 -y(partition)43 b(v)n(ector)d(of)i(the)g(locally-stored)f(v)n(ertices)g -(is)g(written)h(to)g(this)f(array)-11 b(.)51 b(\(See)42 -b(discussion)e(in)i(Section)g(4.4\).)415 671 y FD(comm)314 -b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g(communicator)h(of)f -(the)g(processes)e(that)i(call)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)46 b(F)n(or)e(most)g -(programs)1162 890 y(this)e(will)g(point)g(to)f Fj(MPI)p -2607 890 50 7 v 59 w(COMM)p 3066 890 V 58 w(WORLD)p FK(.)0 -1242 y FB(Note)415 1461 y FK(The)58 b(quality)g(of)g(the)g -(partitionings)g(computed)g(by)g FA(P)-7 b(arMETIS)p -4309 1461 V 61 w(V3)p 4573 1461 V 59 w(P)g(ar)7 b(tGeomKw)n(a)-5 -b(y)59 b FK(are)f(comparable)f(to)h(those)f(pro-)415 -1680 y(duced)41 b(by)h FA(P)-7 b(arMETIS)p 1829 1680 -V 61 w(V3)p 2093 1680 V 59 w(P)g(ar)7 b(tKw)n(a)-5 b(y)p -FK(.)51 b(Ho)l(we)l(v)n(er)-7 b(,)41 b(the)g(run)h(time)g(of)f(the)h -(routine)g(may)f(be)g(up)h(to)g(twice)f(as)g(f)n(ast.)3817 -11298 y(20)p eop -%%Page: 21 21 -21 20 bop 0 166 a FB(P)-5 b(arMETIS)p 780 166 50 7 v -60 w(V3)p 1043 166 V 60 w(P)g(ar)s(tGeom)42 b FK(\(idxtype)g(*vtxdist,) -f(int)h(*ndims,)f(\003oat)h(*xyz,)f(idxtype)g(*part,)g(MPI)p -5939 166 V 60 w(Comm)h(*comm\))0 684 y FB(Description)415 -903 y FK(This)64 b(routine)g(is)g(used)f(to)h(compute)g(a)82 -b Fy(p)5 b FK(-w)n(ay)65 b(partitioning)f(of)h(a)e(graph)h(on)83 -b Fy(p)69 b FK(processors)63 b(using)g(a)h(coordinate-based)415 -1122 y(space-\002lling)42 b(curv)n(es)e(method.)0 1474 -y FB(P)-5 b(arameter)n(s)415 1714 y FD(vtxdist)268 b -FK(This)39 b(array)g(describes)f(ho)l(w)g(the)h(v)n(ertices)f(of)h(the) -f(graph)h(are)g(distrib)m(uted)f(among)h(the)g(processors.)49 -b(\(See)39 b(discus-)1162 1933 y(sion)j(in)f(Section)h(4.1\).)51 -b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f(processor) --9 b(.)415 2218 y FD(ndims)314 b FK(The)42 b(number)g(of)g(dimensions)f -(of)g(the)h(space)e(in)i(which)f(the)h(graph)f(is)g(embedded.)415 -2504 y FD(xyz)507 b FK(The)42 b(array)g(storing)f(the)h(coordinates)f -(of)h(the)f(v)n(ertices)f(\(described)h(in)h(Section)g(4.2\).)415 -2790 y FD(part)443 b FK(This)48 b(is)g(an)g(array)g(of)g(size)f(equal)g -(to)h(the)g(number)g(of)g(locally)g(stored)g(v)n(ertices.)69 -b(Upon)48 b(successful)e(completion)1162 3009 y(stores)41 -b(the)h(partition)g(v)n(ector)f(of)h(the)f(locally)h(stored)f(graph)g -(\(described)g(in)h(Section)g(4.4\).)415 3294 y FD(comm)314 -b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g(communicator)h(of)f -(the)g(processes)e(that)i(call)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)46 b(F)n(or)e(most)g -(programs)1162 3514 y(this)e(will)g(point)g(to)f Fj(MPI)p -2607 3514 V 59 w(COMM)p 3066 3514 V 58 w(WORLD)p FK(.)0 -3866 y FB(Note)415 4085 y FK(The)64 b(quality)h(of)f(the)h -(partitionings)f(computed)g(by)h FA(P)-7 b(arMETIS)p -4354 4085 V 60 w(V3)p 4617 4085 V 60 w(P)g(ar)7 b(tGeom)66 -b FK(are)e(signi\002cantly)g(w)n(orse)g(than)g(those)415 -4304 y(produced)41 b(by)h FA(P)-7 b(arMETIS)p 2050 4304 -V 61 w(V3)p 2314 4304 V 60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)41 -b FK(and)h FA(P)-7 b(arMETIS)p 4158 4304 V 61 w(V3)p -4422 4304 V 59 w(P)g(ar)7 b(tGeomKw)n(a)-5 b(y)p FK(.)3817 -11298 y(21)p eop -%%Page: 22 22 -22 21 bop 0 166 a FB(P)-5 b(arMETIS)p 780 166 50 7 v -60 w(V3)p 1043 166 V 60 w(P)g(ar)s(tMeshKwa)m(y)43 b -FK(\(idxtype)f(*elmdist,)f(idxtype)h(*eptr)-7 b(,)42 -b(idxtype)f(*eind,)g(idxtype)h(*elmwgt,)2310 385 y(int)g(*wgt\003ag,)f -(int)h(*num\003ag,)g(int)f(*ncon,)g(int)h(*ncommonnodes,)f(int)g -(*nparts,)2310 604 y(\003oat)h(*tpwgts,)f(\003oat)h(*ub)n(v)n(ec,)d -(int)j(*options,)f(int)h(*edgecut,)e(idxtype)i(*part,)2310 -824 y(MPI)p 2615 824 V 60 w(Comm)g(*comm\))0 1342 y FB(Description)415 -1561 y FK(This)d(routine)h(is)f(used)f(to)h(compute)g(a)g -Fy(k)10 b FK(-w)n(ay)39 b(partitioning)h(of)f(a)g Fs(mesh)f -FK(on)58 b Fy(p)45 b FK(processors.)k(The)39 b(mesh)f(can)h(contain)g -(elements)415 1780 y(of)j(dif)l(ferent)g(types.)0 2132 -y FB(P)-5 b(arameter)n(s)415 2371 y FD(elmdist)231 b -FK(This)47 b(array)g(describes)e(ho)l(w)i(the)f(elements)g(of)h(the)f -(mesh)h(are)f(distrib)m(uted)g(among)h(the)g(processors.)65 -b(It)47 b(is)f(anal-)1162 2590 y(ogous)64 b(to)g(the)g -Fj(vtxdist)d FK(array)-11 b(.)119 b(Its)64 b(contents)f(are)h -(identical)g(for)g(e)l(v)n(ery)f(processor)-9 b(.)118 -b(\(See)64 b(discussion)f(in)1162 2809 y(Section)42 b(4.3\).)415 -3036 y FD(eptr)-15 b(,)41 b(eind)1162 3256 y FK(These)64 -b(arrays)g(speci\002es)f(the)g(elements)h(that)g(are)g(stored)g -(locally)g(at)g(each)f(processor)-9 b(.)118 b(\(See)64 -b(discussion)f(in)1162 3475 y(Section)42 b(4.3\).)415 -3760 y FD(elmwgt)231 b FK(This)42 b(array)g(stores)e(the)i(weights)f -(of)h(the)f(elements.)50 b(\(See)42 b(discussion)e(in)i(Section)g -(4.3\).)415 4046 y FD(wgt\003ag)231 b FK(This)42 b(is)f(used)g(to)h -(indicate)f(if)h(the)f(graph)h(is)f(weighted.)51 b Fs(wgt\003a)n(g)42 -b FK(can)f(tak)n(e)g(one)h(of)f(four)i(v)l(alues:)1162 -4332 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f(adjwgt)h(are)f(both)g -(NULL\).)1162 4584 y(1)166 b(W)-13 b(eights)41 b(on)h(the)f(edges)g -(only)g(\(vwgt)h(is)f(NULL\).)1162 4836 y(2)166 b(W)-13 -b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i(\(adjwgt)g(is)f(NULL\).) -1162 5089 y(3)166 b(W)-13 b(eights)41 b(on)h(both)f(the)h(v)n(ertices)e -(and)h(edges.)415 5374 y FD(num\003ag)167 b FK(This)41 -b(is)f(used)f(to)i(indicate)f(the)g(numbering)g(scheme)g(that)g(is)g -(used)f(for)i(the)f Fs(elmdist)p FK(,)g Fs(elements)p -FK(,)f(and)h Fs(part)g FK(arrays.)1162 5593 y Fs(num\003a)n(g)i -FK(can)f(tak)n(e)h(one)f(of)h(tw)n(o)g(v)l(alues:)1162 -5879 y(0)166 b(C-style)42 b(numbering)g(that)f(starts)g(from)h(0.)1162 -6131 y(1)166 b(F)n(ortran-style)42 b(numbering)g(that)g(starts)f(from)h -(1.)415 6417 y FD(ncon)406 b FK(This)47 b(is)e(used)h(to)g(specify)f -(the)h(number)g(of)h(weights)e(that)h(each)f(v)n(erte)n(x)g(has.)64 -b(It)46 b(is)g(also)g(the)f(number)i(of)f(balance)1162 -6636 y(constraints)41 b(that)h(must)f(be)h(satis\002ed.)415 -6833 y FD(ncommonnodes)1162 7052 y FK(This)i(parameter)g(determines)g -(the)f(de)n(gree)g(of)i(connecti)l(vity)e(among)h(the)g(v)n(ertices)f -(in)h(the)f(dual)h(graph.)58 b(Speci\002-)1162 7271 y(cally)-11 -b(,)43 b(an)f(edge)g(is)h(placed)f(between)g(an)n(y)f(tw)n(o)j -(elements)d(if)j(and)e(only)h(if)g(the)n(y)f(share)g(at)g(least)g(this) -h(man)n(y)f(nodes.)1162 7490 y(This)53 b(v)l(alue)e(should)h(be)g -(greater)g(than)g(zero,)i(and)e(for)h(most)f(meshes)f(a)h(v)l(alue)f -(of)i(tw)n(o)f(will)h(create)e(reasonable)1162 7710 y(dual)45 -b(graphs.)61 b(Ho)l(we)l(v)n(er)-7 b(,)44 b(depending)g(on)h(the)g -(type)g(of)g(elements)f(in)h(the)g(mesh,)f(v)l(alues)g(greater)h(than)g -(tw)n(o)g(may)1162 7929 y(also)50 b(be)g(v)l(alid)g(choices.)77 -b(F)n(or)50 b(e)n(xample,)h(for)g(meshes)f(containing)g(only)h -(triangular)-7 b(,)53 b(tetrahedral,)f(he)n(xahedral,)1162 -8148 y(or)42 b(rectangular)g(elements,)e(this)h(parameter)h(can)f(be)g -(set)g(to)g(tw)n(o,)h(three,)f(four)-7 b(,)42 b(or)g(tw)n(o,)f -(respecti)l(v)n(ely)-11 b(.)1162 8400 y(Note)51 b(that)f(setting)h -(this)f(parameter)g(to)h(a)f(small)h(v)l(alue)f(will)h(increase)e(the)h -(number)h(of)g(edges)f(in)g(the)h(resulting)1162 8620 -y(dual)42 b(graph)f(and)h(the)f(corresponding)g(partitioning)i(time.) -415 8905 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h(specify)f(the) -g(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 9124 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 9410 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 9629 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -9848 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 10067 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 10287 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 10506 -y(gi)l(v)n(e)41 b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)3817 -11298 y(22)p eop -%%Page: 23 23 -23 22 bop 415 166 a FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -385 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 604 y FK(weights)41 -b(is)h(recommended.)415 890 y FD(options)231 b FK(This)36 -b(is)f(an)g(array)g(of)h(inte)n(gers)f(that)g(is)g(used)g(to)g(pass)g -(parameters)f(to)i(the)f(routine.)49 b(Their)36 b(meanings)f(are)g -(identical)1162 1109 y(to)42 b(those)f(of)h FA(P)-7 b(arMETIS)p -2673 1109 50 7 v 61 w(V3)p 2937 1109 V 60 w(P)g(ar)7 -b(tKw)n(a)-5 b(y)p FK(.)415 1395 y FD(edgecut)203 b FK(Upon)51 -b(successful)f(completion,)k(the)d(number)g(of)h(edges)e(that)h(are)g -(cut)g(by)h(the)f(partitioning)h(is)f(written)h(to)f(this)1162 -1614 y(parameter)-9 b(.)415 1900 y FD(part)443 b FK(This)33 -b(is)f(an)f(array)i(of)f(size)f(equal)h(to)g(the)g(number)h(of)f -(locally-stored)g(v)n(ertices.)47 b(Upon)32 b(successful)f(completion)h -(the)1162 2119 y(partition)43 b(v)n(ector)d(of)i(the)g(locally-stored)f -(v)n(ertices)g(is)g(written)h(to)g(this)f(array)-11 b(.)51 -b(\(See)42 b(discussion)e(in)i(Section)g(4.4\).)415 2404 -y FD(comm)314 b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g -(communicator)h(of)f(the)g(processes)e(that)i(call)k -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)t FK(.)46 b(F)n(or)e(most)g(programs)1162 2624 y(this)e(will)g -(point)g(to)f Fj(MPI)p 2607 2624 V 59 w(COMM)p 3066 2624 -V 58 w(WORLD)p FK(.)3817 11298 y(23)p eop -%%Page: 24 24 -24 23 bop 0 166 a Ft(5.2)199 b(Graph)54 b(Repar)t(titioning)0 -476 y FB(P)-5 b(arMETIS)p 780 476 50 7 v 60 w(V3)p 1043 -476 V 60 w(AdaptiveRepar)s(t)45 b FK(\(idxtype)d(*vtxdist,)f(idxtype)g -(*xadj,)g(idxtype)h(*adjnc)n(y)-11 b(,)40 b(idxtype)i(*vwgt,)f(idxtype) -h(*vsize,)2365 695 y(idxtype)f(*adjwgt,)g(int)h(*wgt\003ag,)f(int)h -(*num\003ag,)f(int)h(*ncon,)f(int)h(*nparts,)f(\003oat)h(*tpwgts,)2365 -914 y(\003oat)f(*ub)n(v)n(ec,)f(\003oat)i(*itr)-7 b(,)42 -b(int)g(*options,)f(int)g(*edgecut,)g(idxtype)g(*part,)2365 -1133 y(MPI)p 2670 1133 V 60 w(Comm)g(*comm\))0 1570 y -FB(Description)415 1789 y FK(This)h(routine)g(is)f(used)g(to)h(balance) -e(the)i(w)n(ork)g(load)f(of)h(a)f(graph)h(that)f(corresponds)g(to)h(an) -f(adapti)l(v)n(ely)g(re\002ned)g(mesh.)0 2123 y FB(P)-5 -b(arameter)n(s)415 2344 y FD(vtxdist)268 b FK(This)39 -b(array)g(describes)f(ho)l(w)g(the)h(v)n(ertices)f(of)h(the)f(graph)h -(are)g(distrib)m(uted)f(among)h(the)g(processors.)49 -b(\(See)39 b(discus-)1162 2563 y(sion)j(in)f(Section)h(4.1\).)51 -b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f(processor) --9 b(.)415 2778 y FD(xadj,)42 b(adjncy)1162 2998 y FK(These)52 -b(store)g(the)h(\(local\))f(adjacenc)n(y)f(structure)h(of)h(the)f -(graph)g(at)h(each)e(processor)-9 b(.)83 b(\(See)52 b(discussion)f(in)i -(Sec-)1162 3217 y(tion)42 b(4.1\).)415 3426 y FD(vwgt,)f(adjwgt)1162 -3645 y FK(These)g(store)h(the)f(weights)g(of)h(the)f(v)n(ertices)g(and) -g(edges.)50 b(\(See)42 b(discussion)e(in)i(Section)f(4.1\).)415 -3912 y FD(vsize)405 b FK(This)46 b(array)f(stores)g(the)g(size)f(of)i -(the)f(v)n(ertices)f(with)i(respect)e(to)i(redistrib)m(ution)g(costs.) -61 b(Hence,)45 b(v)n(ertices)f(associ-)1162 4131 y(ated)j(with)g(mesh)g -(elements)f(that)h(require)h(a)e(lot)i(of)f(memory)h(will)f(ha)m(v)n(e) -f(lar)m(ger)h(corresponding)g(entries)g(in)g(this)1162 -4351 y(array)-11 b(.)52 b(Otherwise,)40 b(this)h(array)h(is)f(similar)h -(to)g(the)f Fj(vwgt)f FK(array)-11 b(.)51 b(\(See)42 -b(discussion)e(in)i(Section)g(4.1\).)415 4618 y FD(wgt\003ag)231 -b FK(This)42 b(is)f(used)g(to)h(indicate)f(if)h(the)f(graph)h(is)f -(weighted.)51 b Fs(wgt\003a)n(g)42 b FK(can)f(tak)n(e)g(one)h(of)f -(four)i(v)l(alues:)1162 4886 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f -(adjwgt)h(are)f(both)g(NULL\).)1162 5129 y(1)166 b(W)-13 -b(eights)41 b(on)h(the)f(edges)g(only)g(\(vwgt)h(is)f(NULL\).)1162 -5372 y(2)166 b(W)-13 b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i -(\(adjwgt)g(is)f(NULL\).)1162 5616 y(3)166 b(W)-13 b(eights)41 -b(on)h(both)f(the)h(v)n(ertices)e(and)h(edges.)415 5883 -y FD(num\003ag)167 b FK(This)58 b(is)f(used)g(to)h(indicate)f(the)g -(numbering)h(scheme)e(that)i(is)f(used)g(for)h(the)f -Fs(vtxdist)p FK(,)k Fs(xadj)p FK(,)f Fs(adjncy)p FK(,)h(and)c -Fs(part)1162 6102 y FK(arrays.)51 b Fs(num\003a)n(g)42 -b FK(can)f(tak)n(e)g(the)h(follo)l(wing)g(tw)n(o)g(v)l(alues:)1162 -6370 y(0)166 b(C-style)42 b(numbering)g(is)f(assumed)f(that)i(starts)f -(from)h(0)1162 6613 y(1)166 b(F)n(ortran-style)42 b(numbering)g(is)f -(assumed)g(that)g(starts)g(from)i(1)415 6881 y FD(ncon)406 -b FK(This)47 b(is)e(used)h(to)g(specify)f(the)h(number)g(of)h(weights)e -(that)h(each)f(v)n(erte)n(x)g(has.)64 b(It)46 b(is)g(also)g(the)f -(number)i(of)f(balance)1162 7100 y(constraints)41 b(that)h(must)f(be)h -(satis\002ed.)415 7367 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h -(specify)f(the)g(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 7587 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 7854 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 8073 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -8292 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 8512 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 8731 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 8950 y(gi)l(v)n(e)41 -b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)415 9217 -y FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -9437 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 9656 y FK(weights)41 -b(is)h(recommended.)415 9923 y FD(itr)572 b FK(This)43 -b(parameter)f(describes)f(the)h(ratio)h(of)g(inter)m(-processor)f -(communication)g(time)h(compared)f(to)g(data)g(redistri-)1162 -10142 y(b)m(ution)50 b(time.)75 b(It)50 b(should)f(be)g(set)g(between)f -(0.000001)h(and)h(1000000.0.)74 b(If)50 b(ITR)g(is)f(set)g(high,)i(a)e -(repartitioning)1162 10362 y(with)39 b(a)e(lo)l(w)h(edge-cut)g(will)h -(be)e(computed.)50 b(If)39 b(it)f(is)g(set)g(lo)l(w)-11 -b(,)38 b(a)g(repartitioning)h(that)f(requires)g(little)h(data)e -(redistri-)1162 10581 y(b)m(ution)i(will)g(be)f(computed.)50 -b(Good)38 b(v)l(alues)g(for)h(this)g(parameter)f(can)g(be)g(obtained)h -(by)f(di)l(viding)h(inter)m(-processor)1162 10800 y(communication)j -(time)g(by)f(data)g(redistrib)m(ution)h(time.)52 b(Otherwise,)40 -b(a)h(v)l(alue)g(of)h(1000.0)f(is)g(recommended.)3817 -11298 y(24)p eop -%%Page: 25 25 -25 24 bop 415 166 a FD(options)231 b FK(This)38 b(is)e(an)h(array)h(of) -f(inte)n(gers)f(that)h(is)g(used)g(to)g(pass)f(additional)h(parameters) -g(for)h(the)f(routine.)49 b(If)38 b Fs(options[0]=0)p -FK(,)1162 385 y(then)49 b(the)g(def)n(ault)g(v)l(alues)f(are)g(used.)72 -b(If)50 b Fs(options[0]=1)p FK(,)f(then)g(the)g(remaining)g(three)f -(elements)g(of)h Fs(options)g FK(are)1162 604 y(interpreted)42 -b(as)f(follo)l(ws:)1162 890 y(options[1])222 b(This)45 -b(speci\002es)f(the)h(le)l(v)n(el)f(of)h(information)g(to)g(be)g -(returned)g(during)g(the)g(e)n(x)n(ecution)e(of)i(the)g(algo-)2066 -1109 y(rithm.)61 b(T)-6 b(iming)46 b(information)f(can)f(be)h(obtained) -f(by)h(setting)f(this)g(to)h(1.)60 b(Additional)45 b(options)f(for)2066 -1328 y(this)i(parameter)f(can)f(be)h(obtained)g(by)h(looking)f(at)g -(the)g(the)g(\002le)h Fj(defs.h)d FK(in)i(the)g Fj(ParMETIS-)2066 -1548 y(Lib)39 b FK(directory)-11 b(.)51 b(The)40 b(numerical)g(v)l -(alues)f(there)h(should)f(be)h(added)f(to)h(obtain)g(the)g(correct)g(v) -l(alue.)2066 1767 y(The)i(def)n(ault)g(v)l(alue)f(is)g(0.)1162 -2019 y(options[2])222 b(This)42 b(is)f(the)h(random)g(number)f(seed)g -(for)h(the)f(routine.)52 b(The)42 b(def)n(ault)f(v)l(alue)h(is)f(15.) -1162 2271 y(options[3])222 b(This)51 b(speci\002es)e(whether)i(the)f -(sub-domains)g(and)g(processors)g(are)g(coupled)g(or)h(de-coupled.)77 -b(If)2066 2491 y(the)47 b(number)h(of)f(sub-domains)g(desired)f(\()p -Fs(i.e)p FK(.,)h Fj(nparts)p FK(\))f(and)g(the)h(number)h(of)f -(processors)f(that)2066 2710 y(are)k(being)g(used)f(is)h(not)g(the)g -(same,)h(then)f(these)f(must)h(be)g(de-coupled.)76 b(Ho)l(we)l(v)n(er) --7 b(,)51 b(if)f Fj(nparts)2066 2929 y FK(equals)56 b(the)g(number)g -(of)h(processors,)h(these)d(can)h(either)g(be)g(coupled)f(or)i -(de-coupled.)94 b(If)57 b(sub-)2066 3148 y(domains)49 -b(and)g(processors)f(are)h(coupled,)h(then)f(the)g(initial)h -(partitioning)g(will)g(be)e(obtained)h(im-)2066 3367 -y(plicitly)66 b(from)f(the)g(graph)g(distrib)m(ution.)121 -b(Ho)l(we)l(v)n(er)-7 b(,)69 b(if)c(sub-domains)f(are)h(de-coupled)f -(from)2066 3587 y(processors,)44 b(then)g(the)g(initial)h(partitioning) -g(needs)f(to)g(be)h(obtained)f(from)h(the)f(initial)h(v)l(alues)e(as-) -2066 3806 y(signed)j(to)h(the)f Fj(part)f FK(array)-11 -b(.)66 b(A)46 b(v)l(alue)g(of)h(1)g(indicates)e(that)i(sub-domains)f -(and)g(processors)f(are)2066 4025 y(coupled)50 b(and)f(2)g(indicates)g -(that)g(these)g(are)g(de-coupled.)75 b(The)49 b(def)n(ault)h(v)l(alue)f -(is)g(1)h(\(coupled\))g(if)2066 4244 y Fj(nparts)40 b -FK(equals)g(the)i(number)g(of)f(processors)g(and)g(2)h(\(de-coupled\))f -(otherwise.)415 4530 y FD(edgecut)203 b FK(Upon)51 b(successful)f -(completion,)k(the)d(number)g(of)h(edges)e(that)h(are)g(cut)g(by)h(the) -f(partitioning)h(is)f(written)h(to)f(this)1162 4749 y(parameter)-9 -b(.)415 5034 y FD(part)443 b FK(This)33 b(is)f(an)f(array)i(of)f(size)f -(equal)h(to)g(the)g(number)h(of)f(locally-stored)g(v)n(ertices.)47 -b(Upon)32 b(successful)f(completion)h(the)1162 5254 y(partition)44 -b(v)n(ector)e(of)h(the)g(locally-stored)g(v)n(ertices)e(is)i(written)g -(to)g(this)f(array)-11 b(.)55 b(\(See)43 b(discussion)f(in)h(Section)g -(4.4\).)1162 5473 y(If)i(the)f(number)g(of)h(processors)d(does)i(not)g -(equal)g(the)g(number)g(of)g(sub-domains)g(and/or)g(options[3])h(is)f -(set)f(to)h(2,)1162 5692 y(then)38 b(the)g(pre)l(viously)g(computed)g -(partitioning)g(must)g(be)g(passed)f(to)h(the)g(routine)g(as)f(a)h -(parameter)g(via)f(this)h(array)-11 b(.)415 5978 y FD(comm)314 -b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g(communicator)h(of)f -(the)g(processes)e(that)i(call)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)46 b(F)n(or)e(most)g -(programs)1162 6197 y(this)e(will)g(point)g(to)f Fj(MPI)p -2607 6197 50 7 v 59 w(COMM)p 3066 6197 V 58 w(WORLD)p -FK(.)3817 11298 y(25)p eop -%%Page: 26 26 -26 25 bop 0 166 a Ft(5.3)199 b(P)-6 b(ar)t(titioning)56 -b(Re\002nement)0 471 y FB(P)-5 b(arMETIS)p 780 471 50 -7 v 60 w(V3)p 1043 471 V 60 w(Re\002neKwa)m(y)43 b FK(\(idxtype)f -(*vtxdist,)f(idxtype)h(*xadj,)f(idxtype)g(*adjnc)n(y)-11 -b(,)41 b(idxtype)g(*vwgt,)h(idxtype)f(*adjwgt,)2072 690 -y(int)h(*wgt\003ag,)f(int)h(*num\003ag,)f(int)h(*ncon,)f(int)h -(*nparts,)f(\003oat)g(*tpwgts,)g(\003oat)h(*ub)n(v)n(ec,)2072 -909 y(int)g(*options,)f(int)h(*edgecut,)e(idxtype)i(*part,)f(MPI)p -5112 909 V 60 w(Comm)h(*comm\))0 1299 y FB(Description)415 -1518 y FK(This)i(routine)h(is)f(used)f(to)i(impro)n(v)n(e)e(the)h -(quality)h(of)f(an)g(e)n(xisting)g(a)f Fy(k)10 b FK(-w)n(ay)44 -b(partitioning)h(on)64 b Fy(p)49 b FK(processors)43 b(using)h(the)g -(multi-)415 1738 y(le)l(v)n(el)d Fy(k)10 b FK(-w)n(ay)41 -b(re\002nement)h(algorithm.)0 2061 y FB(P)-5 b(arameter)n(s)415 -2272 y FD(vtxdist)268 b FK(This)39 b(array)g(describes)f(ho)l(w)g(the)h -(v)n(ertices)f(of)h(the)f(graph)h(are)g(distrib)m(uted)f(among)h(the)g -(processors.)49 b(\(See)39 b(discus-)1162 2491 y(sion)j(in)f(Section)h -(4.1\).)51 b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f -(processor)-9 b(.)415 2696 y FD(xadj,)42 b(adjncy)1162 -2915 y FK(These)52 b(store)g(the)h(\(local\))f(adjacenc)n(y)f -(structure)h(of)h(the)f(graph)g(at)h(each)e(processor)-9 -b(.)83 b(\(See)52 b(discussion)f(in)i(Sec-)1162 3134 -y(tion)42 b(4.1\).)415 3333 y FD(vwgt,)f(adjwgt)1162 -3552 y FK(These)g(store)h(the)f(weights)g(of)h(the)f(v)n(ertices)g(and) -g(edges.)50 b(\(See)42 b(discussion)e(in)i(Section)f(4.1\).)415 -3809 y FD(ncon)406 b FK(This)47 b(is)e(used)h(to)g(specify)f(the)h -(number)g(of)h(weights)e(that)h(each)f(v)n(erte)n(x)g(has.)64 -b(It)46 b(is)g(also)g(the)f(number)i(of)f(balance)1162 -4028 y(constraints)41 b(that)h(must)f(be)h(satis\002ed.)415 -4286 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h(specify)f(the)g -(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 4505 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 4762 y FD(wgt\003ag)231 -b FK(This)42 b(is)f(used)g(to)h(indicate)f(if)h(the)f(graph)h(is)f -(weighted.)51 b Fs(wgt\003a)n(g)42 b FK(can)f(tak)n(e)g(one)h(of)f -(four)i(v)l(alues:)1162 5019 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f -(adjwgt)h(are)f(both)g(NULL\).)1162 5257 y(1)166 b(W)-13 -b(eights)41 b(on)h(the)f(edges)g(only)g(\(vwgt)h(is)f(NULL\).)1162 -5496 y(2)166 b(W)-13 b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i -(\(adjwgt)g(is)f(NULL\).)1162 5734 y(3)166 b(W)-13 b(eights)41 -b(on)h(both)f(the)h(v)n(ertices)e(and)h(edges.)415 5991 -y FD(num\003ag)167 b FK(This)58 b(is)f(used)g(to)h(indicate)f(the)g -(numbering)h(scheme)e(that)i(is)f(used)g(for)h(the)f -Fs(vtxdist)p FK(,)k Fs(xadj)p FK(,)f Fs(adjncy)p FK(,)h(and)c -Fs(part)1162 6210 y FK(arrays.)51 b Fs(num\003a)n(g)42 -b FK(can)f(tak)n(e)g(the)h(follo)l(wing)g(tw)n(o)g(v)l(alues:)1162 -6467 y(0)166 b(C-style)42 b(numbering)g(is)f(assumed)f(that)i(starts)f -(from)h(0)1162 6706 y(1)166 b(F)n(ortran-style)42 b(numbering)g(is)f -(assumed)g(that)g(starts)g(from)i(1)415 6963 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 7182 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -7401 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 7620 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 7839 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 8059 y(gi)l(v)n(e)41 -b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)415 8316 -y FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -8535 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 8754 y FK(weights)41 -b(is)h(recommended.)415 9011 y FD(options)231 b FK(This)36 -b(is)f(an)g(array)g(of)h(inte)n(gers)f(that)g(is)g(used)g(to)g(pass)g -(parameters)f(to)i(the)f(routine.)49 b(Their)36 b(meanings)f(are)g -(identical)1162 9231 y(to)42 b(those)f(of)h FA(P)-7 b(arMETIS)p -2673 9231 V 61 w(V3)p 2937 9231 V 60 w(P)g(ar)7 b(tKw)n(a)-5 -b(y)p FK(.)415 9488 y FD(edgecut)203 b FK(Upon)51 b(successful)f -(completion,)k(the)d(number)g(of)h(edges)e(that)h(are)g(cut)g(by)h(the) -f(partitioning)h(is)f(written)h(to)f(this)1162 9707 y(parameter)-9 -b(.)415 9964 y FD(part)443 b FK(This)33 b(is)f(an)f(array)i(of)f(size)f -(equal)h(to)g(the)g(number)h(of)f(locally-stored)g(v)n(ertices.)47 -b(Upon)32 b(successful)f(completion)h(the)1162 10183 -y(partition)43 b(v)n(ector)d(of)i(the)g(locally-stored)f(v)n(ertices)g -(is)g(written)h(to)g(this)f(array)-11 b(.)51 b(\(See)42 -b(discussion)e(in)i(Section)g(4.4\).)415 10440 y FD(comm)314 -b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g(communicator)h(of)f -(the)g(processes)e(that)i(call)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)46 b(F)n(or)e(most)g -(programs)1162 10660 y(this)e(will)g(point)g(to)f Fj(MPI)p -2607 10660 V 59 w(COMM)p 3066 10660 V 58 w(WORLD)p FK(.)3817 -11298 y(26)p eop -%%Page: 27 27 -27 26 bop 0 166 a Ft(5.4)199 b(Fill-reducing)55 b(Or)l(derings)0 -485 y FB(P)-5 b(arMETIS)p 780 485 50 7 v 60 w(V3)p 1043 -485 V 60 w(NodeND)42 b FK(\(idxtype)g(*vtxdist,)f(idxtype)h(*xadj,)f -(idxtype)g(*adjnc)n(y)-11 b(,)41 b(int)h(*num\003ag,)f(int)h(*options,) -1789 704 y(idxtype)g(*order)-7 b(,)42 b(idxtype)f(*sizes,)f(MPI)p -4172 704 V 60 w(Comm)i(*comm\))0 1222 y FB(Description)415 -1441 y FK(This)g(routine)g(is)f(used)g(to)h(compute)f(a)g -(\002ll-reducing)i(ordering)f(of)f(a)h(sparse)e(matrix)i(using)g -(multile)l(v)n(el)f(nested)g(dissection.)0 1793 y FB(P)-5 -b(arameter)n(s)415 2032 y FD(vtxdist)268 b FK(This)39 -b(array)g(describes)f(ho)l(w)g(the)h(v)n(ertices)f(of)h(the)f(graph)h -(are)g(distrib)m(uted)f(among)h(the)g(processors.)49 -b(\(See)39 b(discus-)1162 2252 y(sion)j(in)f(Section)h(4.1\).)51 -b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f(processor) --9 b(.)415 2485 y FD(xadj,)42 b(adjncy)1162 2704 y FK(These)56 -b(store)h(the)f(\(local\))h(adjacenc)n(y)e(structure)i(of)g(the)f -(graph)h(at)f(each)g(processor)g(\(See)h(discussion)e(in)i(Sec-)1162 -2923 y(tion)42 b(4.1\).)415 3209 y FD(num\003ag)167 b -FK(This)53 b(is)f(used)g(to)h(indicate)f(the)h(numbering)g(scheme)f -(that)g(is)g(used)g(for)i(the)e Fs(vtxdist)p FK(,)j Fs(xadj)p -FK(,)f Fs(adjncy)p FK(,)h(and)d Fs(or)-6 b(der)1162 3428 -y FK(arrays.)51 b Fs(num\003a)n(g)42 b FK(can)f(tak)n(e)g(the)h(follo)l -(wing)g(tw)n(o)g(v)l(alues:)1162 3714 y(0)166 b(C-style)42 -b(numbering)g(is)f(assumed)f(that)i(starts)f(from)h(0)1162 -3966 y(1)166 b(F)n(ortran-style)42 b(numbering)g(is)f(assumed)g(that)g -(starts)g(from)i(1)415 4252 y FD(options)231 b FK(This)36 -b(is)f(an)g(array)g(of)h(inte)n(gers)f(that)g(is)g(used)g(to)g(pass)g -(parameters)f(to)i(the)f(routine.)49 b(Their)36 b(meanings)f(are)g -(identical)1162 4471 y(to)42 b(those)f(of)h FA(P)-7 b(arMETIS)p -2673 4471 V 61 w(V3)p 2937 4471 V 60 w(P)g(ar)7 b(tKw)n(a)-5 -b(y)p FK(.)415 4756 y FD(order)350 b FK(This)42 b(array)g(returns)f -(the)h(result)f(of)h(the)f(ordering)h(\(described)f(in)h(Section)g -(4.4\).)415 5042 y FD(sizes)423 b FK(This)51 b(array)f(returns)h(the)f -(number)g(of)h(nodes)f(for)g(each)g(sub-domain)g(and)g(each)g -(separator)g(\(described)f(in)i(Sec-)1162 5261 y(tion)42 -b(4.4\).)415 5547 y FD(comm)314 b FK(This)45 b(is)e(a)h(pointer)g(to)g -(the)g(MPI)g(communicator)h(of)f(the)g(processes)e(that)i(call)k -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)t FK(.)46 b(F)n(or)e(most)g(programs)1162 5766 y(this)e(will)g -(point)g(to)f Fj(MPI)p 2607 5766 V 59 w(COMM)p 3066 5766 -V 58 w(WORLD)p FK(.)0 6118 y FB(Note)415 6337 y FA(P)-7 -b(arMETIS)p 1183 6337 V 61 w(V3)p 1447 6337 V 60 w(NodeND)42 -b FK(requires)f(that)h(the)f(number)h(of)g(processors)e(be)i(a)f(po)l -(wer)g(of)h(2.)3817 11298 y(27)p eop -%%Page: 28 28 -28 27 bop 0 166 a Ft(5.5)199 b(Mesh)55 b(to)g(Graph)g(T)-16 -b(ranslation)0 485 y FB(P)-5 b(arMETIS)p 780 485 50 7 -v 60 w(V3)p 1043 485 V 60 w(Mesh2Dual)44 b FK(\(idxtype)e(*elmdist,)f -(idxtype)g(*eptr)-7 b(,)42 b(idxtype)g(*eind,)f(int)g(*num\003ag,)2011 -704 y(int)h(*ncommonnodes,)e(idxtype)i(**xadj,)f(idxtype)g(**adjnc)n(y) --11 b(,)41 b(MPI)p 6043 704 V 60 w(Comm)h(*comm\))0 1222 -y FB(Description)415 1441 y FK(This)e(routine)h(is)e(used)h(to)g -(construct)g(a)f(distrib)m(uted)h(graph)h(gi)l(v)n(en)e(a)h(distrib)m -(uted)g(mesh.)50 b(It)40 b(can)f(be)h(used)g(in)g(conjunction)g(with) -415 1660 y(other)i(routines)f(in)h(the)j FA(P)-10 b FG(A)8 -b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)48 b FK(library)-11 -b(.)52 b(The)42 b(mesh)f(can)g(contain)g(elements)g(of)h(dif)l(ferent)g -(types.)0 2012 y FB(P)-5 b(arameter)n(s)415 2252 y FD(elmdist)231 -b FK(This)47 b(array)g(describes)e(ho)l(w)i(the)f(elements)g(of)h(the)f -(mesh)h(are)f(distrib)m(uted)g(among)h(the)g(processors.)65 -b(It)47 b(is)f(anal-)1162 2471 y(ogous)64 b(to)g(the)g -Fj(vtxdist)d FK(array)-11 b(.)119 b(Its)64 b(contents)f(are)h -(identical)g(for)g(e)l(v)n(ery)f(processor)-9 b(.)118 -b(\(See)64 b(discussion)f(in)1162 2690 y(Section)42 b(4.3\).)415 -2917 y FD(eptr)-15 b(,)41 b(eind)1162 3136 y FK(These)64 -b(arrays)g(speci\002es)f(the)g(elements)h(that)g(are)g(stored)g -(locally)g(at)g(each)f(processor)-9 b(.)118 b(\(See)64 -b(discussion)f(in)1162 3355 y(Section)42 b(4.3\).)415 -3641 y FD(num\003ag)167 b FK(This)52 b(is)g(used)f(to)h(indicate)f(the) -h(numbering)g(scheme)f(that)h(is)f(used)h(for)g(the)g -Fs(elmdist)p FK(,)h Fs(elements)p FK(,)g Fs(xadj)p FK(,)h -Fs(adjncy)p FK(,)1162 3860 y(and)42 b Fs(part)f FK(arrays.)51 -b Fs(num\003a)n(g)41 b FK(can)g(tak)n(e)h(one)f(of)h(tw)n(o)g(v)l -(alues:)1162 4146 y(0)166 b(C-style)42 b(numbering)g(that)f(starts)g -(from)h(0.)1162 4398 y(1)166 b(F)n(ortran-style)42 b(numbering)g(that)g -(starts)f(from)h(1.)415 4629 y FD(ncommonnodes)1162 4848 -y FK(This)i(parameter)g(determines)g(the)f(de)n(gree)g(of)i(connecti)l -(vity)e(among)h(the)g(v)n(ertices)f(in)h(the)f(dual)h(graph.)58 -b(Speci\002-)1162 5067 y(cally)-11 b(,)43 b(an)f(edge)g(is)h(placed)f -(between)g(an)n(y)f(tw)n(o)j(elements)d(if)j(and)e(only)h(if)g(the)n(y) -f(share)g(at)g(least)g(this)h(man)n(y)f(nodes.)1162 5286 -y(This)53 b(v)l(alue)e(should)h(be)g(greater)g(than)g(zero,)i(and)e -(for)h(most)f(meshes)f(a)h(v)l(alue)f(of)i(tw)n(o)f(will)h(create)e -(reasonable)1162 5505 y(dual)45 b(graphs.)61 b(Ho)l(we)l(v)n(er)-7 -b(,)44 b(depending)g(on)h(the)g(type)g(of)g(elements)f(in)h(the)g -(mesh,)f(v)l(alues)g(greater)h(than)g(tw)n(o)g(may)1162 -5724 y(also)50 b(be)g(v)l(alid)g(choices.)77 b(F)n(or)50 -b(e)n(xample,)h(for)g(meshes)f(containing)g(only)h(triangular)-7 -b(,)53 b(tetrahedral,)f(he)n(xahedral,)1162 5944 y(or)42 -b(rectangular)g(elements,)e(this)h(parameter)h(can)f(be)g(set)g(to)g -(tw)n(o,)h(three,)f(four)-7 b(,)42 b(or)g(tw)n(o,)f(respecti)l(v)n(ely) --11 b(.)1162 6196 y(Note)51 b(that)f(setting)h(this)f(parameter)g(to)h -(a)f(small)h(v)l(alue)f(will)h(increase)e(the)h(number)h(of)g(edges)f -(in)g(the)h(resulting)1162 6415 y(dual)42 b(graph)f(and)h(the)f -(corresponding)g(partitioning)i(time.)415 6649 y FD(xadj,)f(adjncy)1162 -6868 y FK(Upon)37 b(the)f(successful)e(completion)j(of)f(the)h -(routine,)g(pointers)f(to)h(the)f(constructed)g Fj(xadj)e -FK(and)i Fj(adjncy)e FK(arrays)1162 7087 y(will)42 b(be)f(written)h(to) -g(these)f(parameters.)50 b(\(See)42 b(discussion)e(in)i(Section)f -(4.1\).)415 7373 y FD(comm)314 b FK(This)45 b(is)e(a)h(pointer)g(to)g -(the)g(MPI)g(communicator)h(of)f(the)g(processes)e(that)i(call)k -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)t FK(.)46 b(F)n(or)e(most)g(programs)1162 7592 y(this)e(will)g -(point)g(to)f Fj(MPI)p 2607 7592 V 59 w(COMM)p 3066 7592 -V 58 w(WORLD)p FK(.)0 7944 y FB(Note)415 8163 y FK(This)48 -b(routine)f(can)g(be)g(used)g(in)g(conjunction)h(with)f -FA(P)-7 b(arMETIS)p 4227 8163 V 61 w(V3)p 4491 8163 V -60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)p FK(,)48 b FA(P)-7 b(arMETIS)p -6102 8163 V 61 w(V3)p 6366 8163 V 60 w(P)g(ar)7 b(tGeomKw)n(a)-5 -b(y)p FK(,)50 b(or)415 8382 y FA(P)-7 b(arMETIS)p 1183 -8382 V 61 w(V3)p 1447 8382 V 60 w(Adaptiv)l(eRepar)7 -b(t)p FK(.)53 b(It)42 b(typically)f(runs)h(in)f(half)h(the)g(time)f -(required)h(by)g FA(P)-7 b(arMETIS)p 6452 8382 V 61 w(V3)p -6716 8382 V 59 w(P)g(ar)7 b(tKw)n(a)-5 b(y)p FK(.)3817 -11298 y(28)p eop -%%Page: 29 29 -29 28 bop 0 170 a FE(6)233 b(Har)-5 b(d)m(ware)66 b(&)e(Software)i -(Requirements,)g(and)e(Contact)i(Inf)-5 b(ormation)4 -522 y FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)72 b FK(is)64 b(written)i(in)f(ANSI)h(C)f(and)g(uses)f(MPI) -h(for)h(inter)m(-processor)e(communication.)122 b(Instructions)66 -b(on)f(ho)l(w)g(to)g(b)m(uild)4 741 y FA(P)-10 b FG(A)8 -b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)60 b FK(are)53 -b(a)m(v)l(ailable)f(in)h(the)h Fj(INSTALL)c FK(\002le.)87 -b(In)53 b(the)h(directory)f(called)g Fj(Graphs)p FK(,)h(you)f(will)h -(\002nd)f(programs)h(that)f(tests)g(if)4 960 y FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)57 -b FK(w)n(as)50 b(b)m(uilt)g(correctly)-11 b(.)78 b(Also,)52 -b(a)e(header)g(\002le)g(called)g Fj(parmetis.h)c FK(is)51 -b(pro)n(vided)f(that)g(contains)g(prototypes)g(for)h(the)0 -1179 y(functions)42 b(in)j FA(P)-10 b FG(A)8 b(R)g FA(M)-9 -b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)199 1398 y(In)54 -b(order)g(to)g(use)j FA(P)-10 b FG(A)8 b(R)g FA(M)-9 -b FG(E)-34 b FA(T)g FG(I)p FA(S)61 b FK(in)54 b(your)g(application)f -(you)h(need)f(to)h(ha)m(v)n(e)f(a)g(cop)n(y)h(of)g(the)g(serial)j -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)61 b FK(library)54 -b(and)g(link)g(your)0 1617 y(program)49 b(with)g(both)g(libraries)f(\() -p Fs(i.e)p FK(.,)h Fj(libparmetis.a)44 b FK(and)k Fj(libmetis.a)p -FK(\).)69 b(Note)48 b(that)g(the)53 b FA(P)-10 b FG(A)8 -b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)55 b FK(package)47 -b(already)0 1837 y(contains)41 b(the)g(source)g(code)g(for)h(the)k -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)48 b FK(library)-11 -b(.)52 b(The)41 b(included)h(Mak)n(e\002les)e(automatically)i -(construct)f(both)h(libraries.)203 2056 y FA(P)-10 b -FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)76 -b FK(ha)m(v)n(e)69 b(been)g(e)n(xtensi)l(v)n(ely)f(tested)h(on)h(a)f -(number)h(of)g(dif)l(ferent)g(parallel)g(computers.)135 -b(Ho)l(we)l(v)n(er)-7 b(,)75 b(e)l(v)n(en)69 b(though)4 -2275 y FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)47 b FK(contains)41 b(no)f(kno)l(wn)h(b)m(ugs,)f(this)h -(does)f(not)h(mean)f(that)h(all)g(of)g(its)g(b)m(ugs)f(ha)m(v)n(e)f -(been)i(found)g(and)g(\002x)n(ed.)50 b(If)41 b(you)g(ha)m(v)n(e)f(an)n -(y)0 2494 y(problems,)h(please)f(send)h(email)h(to)f -Fs([email protected])e FK(with)j(a)f(brief)h(description)g(of)f(the)h -(problem.)0 2986 y FE(Ref)n(erences)75 3319 y Ff([1])82 -b(R.)33 b(Bisw)o(as)f(and)h(R.)g(Stra)n(wn.)45 b(A)33 -b(ne)l(w)g(procedure)f(for)h(dynamic)g(adaption)e(of)i -(three-dimensional)e(unstructured)g(grids.)44 b Fe(Applied)32 -b(Numerical)332 3520 y(Mathematics)p Ff(,)37 b(13:437\226452,)d(1994.) -75 3754 y([2])82 b(C.)53 b(Fiduccia)f(and)h(R.)g(Matthe)n(yses.)103 -b(A)52 b(linear)h(time)f(heuristic)g(for)g(impro)n(ving)e(netw)o(ork)h -(partitions.)101 b(In)52 b Fe(In)h(Pr)-7 b(oc.)54 b(19th)d(IEEE)j -(Design)332 3955 y(A)m(utomation)35 b(Confer)-6 b(ence)p -Ff(,)38 b(pages)g(175\226181,)d(1982.)75 4190 y([3])82 -b(J.)40 b(Fingber)m(g,)f(A.)h(Basermann,)h(G.)f(Lonsdale,)g(J.)g -(Clinck)o(emaillie,)e(J.)i(Gratien,)g(and)f(R.)h(Ducloux.)60 -b(Dynamic)39 b(load-balancing)f(for)h(parallel)332 4390 -y(structural)d(mechanics)i(simulations)d(with)i(DRAMA.)53 -b Fe(ECT2000)p Ff(,)37 b(2000.)75 4625 y([4])82 b(G.)43 -b(Karypis)f(and)h(V)-19 b(.)43 b(K)n(umar)-8 b(.)72 b(A)42 -b(coarse-grain)h(parallel)f(multile)l(v)n(el)f Fc(k)9 -b Ff(-w)o(ay)43 b(partitioning)c(algorithm.)70 b(In)43 -b Fe(Pr)-7 b(oceedings)43 b(of)f(the)h(8th)f(SIAM)332 -4825 y(confer)-6 b(ence)38 b(on)f(P)-12 b(ar)n(allel)36 -b(Pr)-7 b(ocessing)38 b(for)f(Scienti\002c)f(Computing)p -Ff(,)f(1997.)75 5060 y([5])82 b(G.)37 b(Karypis)f(and)g(V)-19 -b(.)37 b(K)n(umar)-8 b(.)56 b Fa(M)-7 b Fb(E)-29 b Fa(T)g -Fb(I)q Fa(S)t Ff(:)33 b(A)j(softw)o(are)g(package)h(for)f(partitioning) -d(unstructured)i(graphs,)h(partitioning)d(meshes,)38 -b(and)f(comput-)332 5261 y(ing)h(\002ll-reducing)f(orderings)g(of)h -(sparse)i(matrices,)g(v)n(ersion)d(4.0.)59 b(T)-10 b(echnical)39 -b(report,)f(Uni)l(v)-10 b(.)39 b(of)f(MN,)h(Dept.)g(of)f(Computer)g -(Sci.)h(and)g(Engr)-8 b(.,)332 5461 y(1998.)75 5696 y([6])82 -b(G.)38 b(Karypis)e(and)h(V)-19 b(.)38 b(K)n(umar)-8 -b(.)53 b(Multile)l(v)n(el)35 b(algorithms)h(for)h(multi-constraint)d -(graph)i(partitioning.)51 b(In)37 b Fe(Pr)-7 b(oc.)38 -b(Super)-6 b(computing)36 b('98)p Ff(,)h(1998.)75 5930 -y([7])82 b(G.)49 b(Karypis)e(and)h(V)-19 b(.)48 b(K)n(umar)-8 -b(.)89 b(Multile)l(v)n(el)46 b Fc(k)9 b Ff(-w)o(ay)48 -b(partitioning)d(scheme)k(for)f(irre)n(gular)e(graphs.)89 -b Fe(J)l(ournal)47 b(of)h(P)-12 b(ar)n(allel)47 b(and)g(Distrib)m(uted) -332 6131 y(Computing)p Ff(,)35 b(48\(1\),)h(1998.)75 -6365 y([8])82 b(G.)42 b(Karypis)f(and)h(V)-19 b(.)42 -b(K)n(umar)-8 b(.)68 b(P)n(arallel)41 b(multile)l(v)n(el)f -Fc(k)9 b Ff(-w)o(ay)41 b(partitioning)e(scheme)k(for)e(irre)n(gular)f -(graphs.)68 b Fe(Siam)41 b(Re)n(vie)n(w)p Ff(,)i(41\(2\):278\226300,) -332 6566 y(1999.)75 6800 y([9])82 b(B.)60 b(K)l(ernighan)e(and)h(S.)h -(Lin.)125 b(An)59 b(ef)l(\002cient)h(heuristic)e(procedure)h(for)g -(partitioning)d(graphs.)124 b Fe(The)60 b(Bell)f(System)h(T)-14 -b(ec)n(hnical)58 b(J)l(ournal)p Ff(,)332 7001 y(49\(2\):291\226307,)34 -b(1970.)0 7235 y([10])82 b(L.)31 b(Olik)o(er)e(and)h(R.)h(Bisw)o(as.)38 -b(PLUM:)30 b(P)n(arallel)g(load)g(balancing)g(for)f(adapti)l(v)n(e)h -(unstructured)f(meshes.)40 b Fe(J)l(ournal)30 b(of)f(P)-12 -b(ar)n(allel)29 b(and)h(Distrib)m(uted)332 7436 y(Computing)p -Ff(,)35 b(52\(2\):150\226177,)f(1998.)0 7670 y([11])82 -b(A.)47 b(P)n(atra)h(and)f(D.)g(Kim.)85 b(Ef)l(\002cient)47 -b(mesh)h(partitioning)c(for)i(adapti)l(v)n(e)i Fc(h)11 -b(p)51 b Ff(\002nite)c(element)g(meshes.)87 b(T)-10 b(echnical)47 -b(report,)i(Dept.)e(of)f(Mech.)332 7871 y(Engr)-8 b(.,)37 -b(SUNY)g(at)h(Buf)l(f)o(alo,)e(1999.)0 8105 y([12])82 -b(A.)43 b(Pothen,)h(H.)f(Simon,)h(L.)g(W)-12 b(ang,)44 -b(and)f(S.)h(Bernard.)71 b(T)-12 b(o)l(w)o(ards)43 b(a)g(f)o(ast)f -(implementation)f(of)i(spectral)f(nested)h(dissection.)71 -b(In)42 b Fe(Super)-6 b(com-)332 8306 y(puting)35 b('92)i(Pr)-7 -b(oceedings)p Ff(,)38 b(pages)g(42\22651,)e(1992.)0 8540 -y([13])82 b(K.)34 b(Schloe)n(gel,)h(G.)f(Karypis,)g(and)g(V)-19 -b(.)34 b(K)n(umar)-8 b(.)47 b(A)34 b(ne)l(w)g(algorithm)e(for)i -(multi-objecti)l(v)n(e)d(graph)j(partitioning.)43 b(In)34 -b Fe(Pr)-7 b(oc.)35 b(Eur)-7 b(oP)-12 b(ar)34 b('99)p -Ff(,)h(pages)332 8741 y(322\226331,)h(1999.)0 8975 y([14])82 -b(K.)54 b(Schloe)n(gel,)j(G.)d(Karypis,)j(and)c(V)-19 -b(.)54 b(K)n(umar)-8 b(.)105 b(P)n(arallel)53 b(multile)l(v)n(el)f -(algorithms)g(for)g(multi-constraint)f(graph)h(partitioning.)103 -b(In)53 b Fe(Pr)-7 b(oc.)332 9176 y(Eur)g(oP)-12 b(ar)m(-2000)p -Ff(,)37 b(2000.)53 b(Accepted)37 b(as)h(a)g(Distinguished)d(P)n(aper)-8 -b(.)0 9410 y([15])82 b(K.)50 b(Schloe)n(gel,)h(G.)f(Karypis,)i(and)d(V) --19 b(.)49 b(K)n(umar)-8 b(.)92 b(A)49 b(uni\002ed)g(algorithm)e(for)i -(load-balancing)e(adapti)l(v)n(e)i(scienti\002c)g(simulations.)90 -b(In)49 b Fe(Pr)-7 b(oc.)332 9611 y(Super)h(computing)35 -b(2000)p Ff(,)i(2000.)0 9845 y([16])82 b(K.)38 b(Schloe)n(gel,)g(G.)h -(Karypis,)e(and)h(V)-19 b(.)38 b(K)n(umar)-8 b(.)57 b(W)-12 -b(a)m(v)n(efront)37 b(dif)l(fusion)f(and)i(LMSR:)f(Algorithms)f(for)i -(dynamic)f(repartitioning)e(of)j(adapti)l(v)n(e)332 10046 -y(meshes.)55 b Fe(IEEE)38 b(T)-8 b(r)n(ansactions)36 -b(on)g(P)-12 b(ar)n(allel)36 b(and)h(Distrib)m(uted)e(Systems)p -Ff(,)j(12\(5\):451\226466,)c(2001.)0 10280 y([17])82 -b(J.)47 b(W)-12 b(atts,)49 b(M.)e(Rief)l(fel,)i(and)e(S.)g(T)-12 -b(aylor)k(.)83 b(A)47 b(load)f(balancing)g(technique)f(for)h -(multi-phase)g(computations.)82 b Fe(Pr)-7 b(oc.)48 b(of)e(High)g(P)-12 -b(erformance)332 10481 y(Computing)35 b(`97)p Ff(,)i(pages)g(15\22620,) -f(1997.)3817 11298 y FK(29)p eop -%%Trailer -end -userdict /end-hook known{end-hook}if -%%EOF diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/Makefile b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/Makefile deleted file mode 100644 index 3281a07..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/Makefile +++ /dev/null @@ -1,48 +0,0 @@ -include ../Makefile.in - - -CFLAGS = $(COPTIONS) $(OPTFLAGS) -I. $(INCDIR) - - -OBJS = comm.o util.o debug.o setup.o grsetup.o timer.o \ - node_refine.o initmsection.o order.o \ - xyzpart.o pspases.o frename.o \ - iintsort.o iidxsort.o ikeysort.o ikeyvalsort.o \ - kmetis.o gkmetis.o ometis.o \ - initpart.o match.o coarsen.o \ - kwayfm.o kwayrefine.o kwaybalance.o \ - remap.o stat.o fpqueue.o \ - ametis.o rmetis.o lmatch.o initbalance.o \ - mdiffusion.o diffutil.o wave.o \ - csrmatch.o redomylink.o balancemylink.o \ - selectq.o akwayfm.o serial.o move.o \ - mmetis.o mesh.o memory.o weird.o backcompat.o - -.c.o: - $(CC) $(CFLAGS) -c $*.c - - -../libparmetis.a: $(OBJS) - $(AR) $@ $(OBJS) - $(RANLIB) $@ - -clean: - rm -f *.o - -realclean: - rm -f *.o ; rm -f ../libparmetis.a - - -checkin: - @for file in *.[c,h]; \ - do \ - ci -u -m'Maintance' $$file;\ - done - -checkin2: - @for file in *.[c,h]; \ - do \ - ci $$file;\ - rcs -U $$file;\ - co $$file;\ - done diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/adrivers.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/adrivers.c deleted file mode 100644 index e9c5fe0..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/adrivers.c +++ /dev/null @@ -1,117 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * adrivers.c - * - * This file contains the driving routines for the various parallel - * multilevel partitioning and repartitioning algorithms - * - * Started 11/19/96 - * George - * - * $Id: adrivers.c,v 1.5 2003/07/30 18:37:58 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - -/************************************************************************* -* This function is the driver for the adaptive refinement mode of ParMETIS -**************************************************************************/ -void Adaptive_Partition(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i; - int tewgt, tvsize; - float gtewgt, gtvsize; - float ubavg, lbavg, lbvec[MAXNCON]; - - /************************************/ - /* Set up important data structures */ - /************************************/ - SetUp(ctrl, graph, wspace); - - ubavg = savg(graph->ncon, ctrl->ubvec); - tewgt = idxsum(graph->nedges, graph->adjwgt); - tvsize = idxsum(graph->nvtxs, graph->vsize); - gtewgt = (float) GlobalSESum(ctrl, tewgt) + 1.0; /* The +1 were added to remove any FPE */ - gtvsize = (float) GlobalSESum(ctrl, tvsize) + 1.0; - ctrl->redist_factor = ctrl->redist_base * ((gtewgt/gtvsize)/ ctrl->edge_size_ratio); - - IFSET(ctrl->dbglvl, DBG_PROGRESS, rprintf(ctrl, "[%6d %8d %5d %5d][%d]\n", - graph->gnvtxs, GlobalSESum(ctrl, graph->nedges), GlobalSEMin(ctrl, graph->nvtxs), GlobalSEMax(ctrl, graph->nvtxs), ctrl->CoarsenTo)); - - if (graph->gnvtxs < 1.3*ctrl->CoarsenTo || - (graph->finer != NULL && graph->gnvtxs > graph->finer->gnvtxs*COARSEN_FRACTION)) { - - /***********************************************/ - /* Balance the partition on the coarsest graph */ - /***********************************************/ - graph->where = idxsmalloc(graph->nvtxs+graph->nrecv, -1, "graph->where"); - idxcopy(graph->nvtxs, graph->home, graph->where); - - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - lbavg = savg(graph->ncon, lbvec); - - if (lbavg > ubavg + 0.035 && ctrl->partType != REFINE_PARTITION) - Balance_Partition(ctrl, graph, wspace); - - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, balance: ", graph->gnvtxs); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - - /* check if no coarsening took place */ - if (graph->finer == NULL) { - Moc_ComputePartitionParams(ctrl, graph, wspace); - Moc_KWayBalance(ctrl, graph, wspace, graph->ncon); - Moc_KWayAdaptiveRefine(ctrl, graph, wspace, NGR_PASSES); - } - } - else { - /*******************************/ - /* Coarsen it and partition it */ - /*******************************/ - switch (ctrl->ps_relation) { - case COUPLED: - Mc_LocalMatch_HEM(ctrl, graph, wspace); - break; - case DISCOUPLED: - default: - Moc_GlobalMatch_Balance(ctrl, graph, wspace); - break; - } - - Adaptive_Partition(ctrl, graph->coarser, wspace); - - /********************************/ - /* project partition and refine */ - /********************************/ - Moc_ProjectPartition(ctrl, graph, wspace); - Moc_ComputePartitionParams(ctrl, graph, wspace); - - if (graph->ncon > 1 && graph->level < 4) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - lbavg = savg(graph->ncon, lbvec); - - if (lbavg > ubavg + 0.025) { - Moc_KWayBalance(ctrl, graph, wspace, graph->ncon); - } - } - - Moc_KWayAdaptiveRefine(ctrl, graph, wspace, NGR_PASSES); - - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, cut: %8d, balance: ", graph->gnvtxs, graph->mincut); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - } -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/akwayfm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/akwayfm.c deleted file mode 100644 index 7579d8b..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/akwayfm.c +++ /dev/null @@ -1,629 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * makwayfm.c - * - * This file contains code that performs the k-way refinement - * - * Started 3/1/96 - * George - * - * $Id: akwayfm.c,v 1.3 2003/07/22 22:58:18 karypis Exp $ - */ - -#include <parmetislib.h> - -#define ProperSide(c, from, other) \ - (((c) == 0 && (from)-(other) < 0) || ((c) == 1 && (from)-(other) > 0)) - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Moc_KWayAdaptiveRefine(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace, int npasses) -{ - int h, i, ii, iii, j, k, c; - int pass, nvtxs, nedges, ncon; - int nmoves, nmoved; - int me, firstvtx, lastvtx, yourlastvtx; - int from, to = -1, oldto, oldcut, mydomain, yourdomain, imbalanced, overweight; - int npes = ctrl->npes, mype = ctrl->mype, nparts = ctrl->nparts; - int nlupd, nsupd, nnbrs, nchanged; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist; - idxtype *where, *tmp_where, *moved; - float *lnpwgts, *gnpwgts, *ognpwgts, *pgnpwgts, *movewgts, *overfill; - idxtype *update, *supdate, *rupdate, *pe_updates; - idxtype *changed, *perm, *pperm, *htable; - idxtype *peind, *recvptr, *sendptr; - KeyValueType *swchanges, *rwchanges; - RInfoType *rinfo, *myrinfo, *tmp_myrinfo, *tmp_rinfo; - EdgeType *tmp_edegrees, *my_edegrees, *your_edegrees; - float lbvec[MAXNCON], *nvwgt, *badmaxpwgt, *ubvec, *tpwgts, lbavg, ubavg; - float oldgain, gain; - float ipc_factor, redist_factor, vsize; - int *nupds_pe, ndirty, nclean, dptr; - int better, worse; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->KWayTmr)); - - /*************************/ - /* set up common aliases */ - /*************************/ - nvtxs = graph->nvtxs; - nedges = graph->nedges; - ncon = graph->ncon; - - vtxdist = graph->vtxdist; - xadj = graph->xadj; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - firstvtx = vtxdist[mype]; - lastvtx = vtxdist[mype+1]; - - where = graph->where; - rinfo = graph->rinfo; - lnpwgts = graph->lnpwgts; - gnpwgts = graph->gnpwgts; - ubvec = ctrl->ubvec; - tpwgts = ctrl->tpwgts; - ipc_factor = ctrl->ipc_factor; - redist_factor = ctrl->redist_factor; - - nnbrs = graph->nnbrs; - peind = graph->peind; - recvptr = graph->recvptr; - sendptr = graph->sendptr; - - changed = idxmalloc(nvtxs, "AKWR: changed"); - rwchanges = wspace->pairs; - swchanges = rwchanges + recvptr[nnbrs]; - - /************************************/ - /* set up important data structures */ - /************************************/ - perm = idxmalloc(nvtxs, "AKWR: perm"); - pperm = idxmalloc(nparts, "AKWR: pperm"); - - update = idxmalloc(nvtxs, "AKWR: update"); - supdate = wspace->indices; - rupdate = supdate + recvptr[nnbrs]; - nupds_pe = imalloc(npes, "AKWR: nupds_pe"); - htable = idxsmalloc(nvtxs+graph->nrecv, 0, "AKWR: lhtable"); - badmaxpwgt = fmalloc(nparts*ncon, "badmaxpwgt"); - - for (i=0; i<nparts; i++) { - for (h=0; h<ncon; h++) { - badmaxpwgt[i*ncon+h] = ubvec[h]*tpwgts[i*ncon+h]; - } - } - - movewgts = fmalloc(ncon*nparts, "AKWR: movewgts"); - ognpwgts = fmalloc(nparts*ncon, "AKWR: ognpwgts"); - pgnpwgts = fmalloc(nparts*ncon, "AKWR: pgnpwgts"); - overfill = fmalloc(nparts*ncon, "AKWR: overfill"); - moved = idxmalloc(nvtxs, "AKWR: moved"); - tmp_where = idxmalloc(nvtxs+graph->nrecv, "AKWR: tmp_where"); - tmp_rinfo = (RInfoType *)GKmalloc(sizeof(RInfoType)*nvtxs, "AKWR: tmp_rinfo"); - tmp_edegrees = (EdgeType *)GKmalloc(sizeof(EdgeType)*nedges, "AKWR: tmp_edegrees"); - - idxcopy(nvtxs+graph->nrecv, where, tmp_where); - for (i=0; i<nvtxs; i++) { - tmp_rinfo[i].id = rinfo[i].id; - tmp_rinfo[i].ed = rinfo[i].ed; - tmp_rinfo[i].ndegrees = rinfo[i].ndegrees; - tmp_rinfo[i].degrees = tmp_edegrees+xadj[i]; - - for (j=0; j<rinfo[i].ndegrees; j++) { - tmp_rinfo[i].degrees[j].edge = rinfo[i].degrees[j].edge; - tmp_rinfo[i].degrees[j].ewgt = rinfo[i].degrees[j].ewgt; - } - } - - /*********************************************************/ - /* perform a small number of passes through the vertices */ - /*********************************************************/ - for (pass=0; pass<npasses; pass++) { - oldcut = graph->mincut; - if (mype == 0) - RandomPermute(nparts, pperm, 1); - MPI_Bcast((void *)pperm, nparts, IDX_DATATYPE, 0, ctrl->comm); -/* FastRandomPermute(nvtxs, perm, 1); */ - - /*****************************/ - /* move dirty vertices first */ - /*****************************/ - ndirty = 0; - for (i=0; i<nvtxs; i++) - if (where[i] != mype) - ndirty++; - - dptr = 0; - for (i=0; i<nvtxs; i++) - if (where[i] != mype) - perm[dptr++] = i; - else - perm[ndirty++] = i; - - ASSERT(ctrl, ndirty == nvtxs); - ndirty = dptr; - nclean = nvtxs-dptr; - FastRandomPermute(ndirty, perm, 0); - FastRandomPermute(nclean, perm+ndirty, 0); - - /* check to see if the partitioning is imbalanced */ - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - ubavg = savg(ncon, ubvec); - lbavg = savg(ncon, lbvec); - imbalanced = (lbavg > ubavg) ? 1 : 0; - - for (c=0; c<2; c++) { - scopy(ncon*nparts, gnpwgts, ognpwgts); - sset(ncon*nparts, 0.0, movewgts); - nmoved = 0; - - /**********************************************/ - /* PASS ONE -- record stats for desired moves */ - /**********************************************/ - for (iii=0; iii<nvtxs; iii++) { - i = perm[iii]; - from = tmp_where[i]; - nvwgt = graph->nvwgt+i*ncon; - vsize = (float)(graph->vsize[i]); - - for (h=0; h<ncon; h++) { - if (fabs(nvwgt[h]-gnpwgts[from*ncon+h]) < SMALLFLOAT) - break; - } - if (h < ncon) - continue; - - /* only check border vertices */ - if (tmp_rinfo[i].ed <= 0) - continue; - - my_edegrees = tmp_rinfo[i].degrees; - - for (k=0; k<tmp_rinfo[i].ndegrees; k++) { - to = my_edegrees[k].edge; - if (ProperSide(c, pperm[from], pperm[to])) { - for (h=0; h<ncon; h++) { - if (gnpwgts[to*ncon+h]+nvwgt[h] > badmaxpwgt[to*ncon+h] && nvwgt[h] > 0.0) - break; - } - if (h == ncon) - break; - } - } - oldto = to; - - /* check if a subdomain was found that fits */ - if (k < tmp_rinfo[i].ndegrees) { - /**************************/ - /**************************/ - switch (ctrl->ps_relation) { - case COUPLED: - better = (oldto == mype) ? 1 : 0; - worse = (from == mype) ? 1 : 0; - break; - case DISCOUPLED: - default: - better = (oldto == graph->home[i]) ? 1 : 0; - worse = (from == graph->home[i]) ? 1 : 0; - break; - } - /**************************/ - /**************************/ - - oldgain = ipc_factor * (float)(my_edegrees[k].ewgt-tmp_rinfo[i].id); - if (better) oldgain += redist_factor * vsize; - if (worse) oldgain -= redist_factor * vsize; - - for (j=k+1; j<tmp_rinfo[i].ndegrees; j++) { - to = my_edegrees[j].edge; - if (ProperSide(c, pperm[from], pperm[to])) { - /**************************/ - /**************************/ - switch (ctrl->ps_relation) { - case COUPLED: - better = (to == mype) ? 1 : 0; - break; - case DISCOUPLED: - default: - better = (to == graph->home[i]) ? 1 : 0; - break; - } - /**************************/ - /**************************/ - - gain = ipc_factor * (float)(my_edegrees[j].ewgt-tmp_rinfo[i].id); - if (better) gain += redist_factor * vsize; - if (worse) gain -= redist_factor * vsize; - - for (h=0; h<ncon; h++) - if (gnpwgts[to*ncon+h]+nvwgt[h] > badmaxpwgt[to*ncon+h] && nvwgt[h] > 0.0) - break; - - if (h == ncon) { - if (gain > oldgain || - (fabs(gain-oldgain) < SMALLFLOAT && - IsHBalanceBetterTT(ncon,gnpwgts+oldto*ncon,gnpwgts+to*ncon,nvwgt,ubvec))){ - oldgain = gain; - oldto = to; - k = j; - } - } - } - } - to = oldto; - gain = oldgain; - - if (gain > 0.0 || - (gain > -1.0*SMALLFLOAT && - (imbalanced || graph->level > 3 || iii % 8 == 0) && - IsHBalanceBetterFT(ncon,gnpwgts+from*ncon,gnpwgts+to*ncon,nvwgt,ubvec))){ - - /****************************************/ - /* Update tmp arrays of the moved vertex */ - /****************************************/ - tmp_where[i] = to; - moved[nmoved++] = i; - for (h=0; h<ncon; h++) { - INC_DEC(lnpwgts[to*ncon+h], lnpwgts[from*ncon+h], nvwgt[h]); - INC_DEC(gnpwgts[to*ncon+h], gnpwgts[from*ncon+h], nvwgt[h]); - INC_DEC(movewgts[to*ncon+h], movewgts[from*ncon+h], nvwgt[h]); - } - - tmp_rinfo[i].ed += tmp_rinfo[i].id-my_edegrees[k].ewgt; - SWAP(tmp_rinfo[i].id, my_edegrees[k].ewgt, j); - if (my_edegrees[k].ewgt == 0) { - tmp_rinfo[i].ndegrees--; - my_edegrees[k].edge = my_edegrees[tmp_rinfo[i].ndegrees].edge; - my_edegrees[k].ewgt = my_edegrees[tmp_rinfo[i].ndegrees].ewgt; - } - else { - my_edegrees[k].edge = from; - } - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - /* no need to bother about vertices on different pe's */ - if (ladjncy[j] >= nvtxs) - continue; - - me = ladjncy[j]; - mydomain = tmp_where[me]; - - myrinfo = tmp_rinfo+me; - your_edegrees = myrinfo->degrees; - - if (mydomain == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - } - else { - if (mydomain == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - } - } - - /* Remove contribution from the .ed of 'from' */ - if (mydomain != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == from) { - if (your_edegrees[k].ewgt == adjwgt[j]) { - myrinfo->ndegrees--; - your_edegrees[k].edge = your_edegrees[myrinfo->ndegrees].edge; - your_edegrees[k].ewgt = your_edegrees[myrinfo->ndegrees].ewgt; - } - else { - your_edegrees[k].ewgt -= adjwgt[j]; - } - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (mydomain != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == to) { - your_edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - your_edegrees[myrinfo->ndegrees].edge = to; - your_edegrees[myrinfo->ndegrees++].ewgt = adjwgt[j]; - } - } - } - } - } - } - - /******************************************/ - /* Let processors know the subdomain wgts */ - /* if all proposed moves commit. */ - /******************************************/ - MPI_Allreduce((void *)lnpwgts, (void *)pgnpwgts, nparts*ncon, MPI_FLOAT, MPI_SUM, ctrl->comm); - - /**************************/ - /* compute overfill array */ - /**************************/ - overweight = 0; - for (j=0; j<nparts; j++) { - for (h=0; h<ncon; h++) { - if (pgnpwgts[j*ncon+h] > ognpwgts[j*ncon+h]) - overfill[j*ncon+h] = (pgnpwgts[j*ncon+h]-badmaxpwgt[j*ncon+h]) / (pgnpwgts[j*ncon+h]-ognpwgts[j*ncon+h]); - else - overfill[j*ncon+h] = 0.0; - - overfill[j*ncon+h] = amax(overfill[j*ncon+h], 0.0); - overfill[j*ncon+h] *= movewgts[j*ncon+h]; - - if (overfill[j*ncon+h] > 0.0) - overweight = 1; - - ASSERTP(ctrl, ognpwgts[j*ncon+h] <= badmaxpwgt[j*ncon+h] || pgnpwgts[j*ncon+h] <= ognpwgts[j*ncon+h], - (ctrl, "%.4f %.4f %.4f\n", ognpwgts[j*ncon+h], badmaxpwgt[j*ncon+h], pgnpwgts[j*ncon+h])); - } - } - - /****************************************************/ - /* select moves to undo according to overfill array */ - /****************************************************/ - if (overweight == 1) { - for (iii=0; iii<nmoved; iii++) { - i = moved[iii]; - oldto = tmp_where[i]; - nvwgt = graph->nvwgt+i*ncon; - my_edegrees = tmp_rinfo[i].degrees; - - for (k=0; k<tmp_rinfo[i].ndegrees; k++) - if (my_edegrees[k].edge == where[i]) - break; - - for (h=0; h<ncon; h++) - if (nvwgt[h] > 0.0 && overfill[oldto*ncon+h] > nvwgt[h]/4.0) - break; - - /**********************************/ - /* nullify this move if necessary */ - /**********************************/ - if (k != tmp_rinfo[i].ndegrees && h != ncon) { - moved[iii] = -1; - from = oldto; - to = where[i]; - - for (h=0; h<ncon; h++) - overfill[oldto*ncon+h] = amax(overfill[oldto*ncon+h]-nvwgt[h], 0.0); - - tmp_where[i] = to; - tmp_rinfo[i].ed += tmp_rinfo[i].id-my_edegrees[k].ewgt; - SWAP(tmp_rinfo[i].id, my_edegrees[k].ewgt, j); - if (my_edegrees[k].ewgt == 0) { - tmp_rinfo[i].ndegrees--; - my_edegrees[k].edge = my_edegrees[tmp_rinfo[i].ndegrees].edge; - my_edegrees[k].ewgt = my_edegrees[tmp_rinfo[i].ndegrees].ewgt; - } - else { - my_edegrees[k].edge = from; - } - - for (h=0; h<ncon; h++) - INC_DEC(lnpwgts[to*ncon+h], lnpwgts[from*ncon+h], nvwgt[h]); - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - /* no need to bother about vertices on different pe's */ - if (ladjncy[j] >= nvtxs) - continue; - - me = ladjncy[j]; - mydomain = tmp_where[me]; - - myrinfo = tmp_rinfo+me; - your_edegrees = myrinfo->degrees; - - if (mydomain == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - } - else { - if (mydomain == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - } - } - - /* Remove contribution from the .ed of 'from' */ - if (mydomain != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == from) { - if (your_edegrees[k].ewgt == adjwgt[j]) { - myrinfo->ndegrees--; - your_edegrees[k].edge = your_edegrees[myrinfo->ndegrees].edge; - your_edegrees[k].ewgt = your_edegrees[myrinfo->ndegrees].ewgt; - } - else { - your_edegrees[k].ewgt -= adjwgt[j]; - } - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (mydomain != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == to) { - your_edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - your_edegrees[myrinfo->ndegrees].edge = to; - your_edegrees[myrinfo->ndegrees++].ewgt = adjwgt[j]; - } - } - } - } - } - } - - /*************************************************/ - /* PASS TWO -- commit the remainder of the moves */ - /*************************************************/ - nlupd = nsupd = nmoves = nchanged = 0; - for (iii=0; iii<nmoved; iii++) { - i = moved[iii]; - if (i == -1) - continue; - - where[i] = tmp_where[i]; - - /* Make sure to update the vertex information */ - if (htable[i] == 0) { - /* make sure you do the update */ - htable[i] = 1; - update[nlupd++] = i; - } - - /* Put the vertices adjacent to i into the update array */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = ladjncy[j]; - if (htable[k] == 0) { - htable[k] = 1; - if (k<nvtxs) - update[nlupd++] = k; - else - supdate[nsupd++] = k; - } - } - nmoves++; - - if (graph->pexadj[i+1]-graph->pexadj[i] > 0) - changed[nchanged++] = i; - } - - /* Tell interested pe's the new where[] info for the interface vertices */ - CommChangedInterfaceData(ctrl, graph, nchanged, changed, where, swchanges, rwchanges, wspace->pv4); - - - IFSET(ctrl->dbglvl, DBG_RMOVEINFO, rprintf(ctrl, "\t[%d %d], [%.4f], [%d %d %d]\n", - pass, c, badmaxpwgt[0], GlobalSESum(ctrl, nmoves), GlobalSESum(ctrl, nsupd), GlobalSESum(ctrl, nlupd))); - - /*------------------------------------------------------------- - / Time to communicate with processors to send the vertices - / whose degrees need to be update. - /-------------------------------------------------------------*/ - /* Issue the receives first */ - for (i=0; i<nnbrs; i++) - MPI_Irecv((void *)(rupdate+sendptr[i]), sendptr[i+1]-sendptr[i], IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->rreq+i); - - /* Issue the sends next. This needs some preporcessing */ - for (i=0; i<nsupd; i++) { - htable[supdate[i]] = 0; - supdate[i] = graph->imap[supdate[i]]; - } - iidxsort(nsupd, supdate); - - for (j=i=0; i<nnbrs; i++) { - yourlastvtx = vtxdist[peind[i]+1]; - for (k=j; k<nsupd && supdate[k] < yourlastvtx; k++); - MPI_Isend((void *)(supdate+j), k-j, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - j = k; - } - - /* OK, now get into the loop waiting for the send/recv operations to finish */ - MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); - for (i=0; i<nnbrs; i++) - MPI_Get_count(ctrl->statuses+i, IDX_DATATYPE, nupds_pe+i); - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); - - - /*------------------------------------------------------------- - / Place the recieved to-be updated vertices into update[] - /-------------------------------------------------------------*/ - for (i=0; i<nnbrs; i++) { - pe_updates = rupdate+sendptr[i]; - for (j=0; j<nupds_pe[i]; j++) { - k = pe_updates[j]; - if (htable[k-firstvtx] == 0) { - htable[k-firstvtx] = 1; - update[nlupd++] = k-firstvtx; - } - } - } - - - /*------------------------------------------------------------- - / Update the rinfo of the vertices in the update[] array - /-------------------------------------------------------------*/ - for (ii=0; ii<nlupd; ii++) { - i = update[ii]; - ASSERT(ctrl, htable[i] == 1); - - htable[i] = 0; - - mydomain = where[i]; - myrinfo = rinfo+i; - tmp_myrinfo = tmp_rinfo+i; - my_edegrees = myrinfo->degrees; - your_edegrees = tmp_myrinfo->degrees; - - graph->lmincut -= myrinfo->ed; - myrinfo->ndegrees = 0; - myrinfo->id = 0; - myrinfo->ed = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - yourdomain = where[ladjncy[j]]; - if (mydomain != yourdomain) { - myrinfo->ed += adjwgt[j]; - - for (k=0; k<myrinfo->ndegrees; k++) { - if (my_edegrees[k].edge == yourdomain) { - my_edegrees[k].ewgt += adjwgt[j]; - your_edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - my_edegrees[k].edge = yourdomain; - my_edegrees[k].ewgt = adjwgt[j]; - your_edegrees[k].edge = yourdomain; - your_edegrees[k].ewgt = adjwgt[j]; - myrinfo->ndegrees++; - } - ASSERT(ctrl, myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - ASSERT(ctrl, tmp_myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - - } - else { - myrinfo->id += adjwgt[j]; - } - } - graph->lmincut += myrinfo->ed; - - tmp_myrinfo->id = myrinfo->id; - tmp_myrinfo->ed = myrinfo->ed; - tmp_myrinfo->ndegrees = myrinfo->ndegrees; - } - - /* finally, sum-up the partition weights */ - MPI_Allreduce((void *)lnpwgts, (void *)gnpwgts, nparts*ncon, MPI_FLOAT, MPI_SUM, ctrl->comm); - } - graph->mincut = GlobalSESum(ctrl, graph->lmincut)/2; - - if (graph->mincut == oldcut) - break; - } - - GKfree((void **)&badmaxpwgt, (void **)&update, (void **)&nupds_pe, (void **)&htable, LTERM); - GKfree((void **)&changed, (void **)&pperm, (void **)&perm, (void **)&moved, LTERM); - GKfree((void **)&pgnpwgts, (void **)&ognpwgts, (void **)&overfill, (void **)&movewgts, LTERM); - GKfree((void **)&tmp_where, (void **)&tmp_rinfo, (void **)&tmp_edegrees, LTERM); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->KWayTmr)); -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ametis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ametis.c deleted file mode 100644 index 6fac271..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ametis.c +++ /dev/null @@ -1,272 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * ametis.c - * - * This is the entry point of parallel difussive repartitioning routines - * - * Started 10/19/96 - * George - * - * $Id: ametis.c,v 1.6 2003/07/25 04:01:03 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - -/*********************************************************************************** -* This function is the entry point of the parallel multilevel local diffusion -* algorithm. It uses parallel undirected diffusion followed by adaptive k-way -* refinement. This function utilizes local coarsening. -************************************************************************************/ -void ParMETIS_V3_AdaptiveRepart(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *vsize, idxtype *adjwgt, int *wgtflag, int *numflag, - int *ncon, int *nparts, float *tpwgts, float *ubvec, float *ipc2redist, - int *options, int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int h, i; - int npes, mype; - CtrlType ctrl; - WorkSpaceType wspace; - GraphType *graph; - int tewgt, tvsize, nmoved, maxin, maxout, vtx_factor; - float gtewgt, gtvsize, avg, maximb; - int ps_relation, seed, dbglvl = 0; - int iwgtflag, inumflag, incon, inparts, ioptions[10]; - float iipc2redist, *itpwgts, iubvec[MAXNCON]; - - MPI_Comm_size(*comm, &npes); - MPI_Comm_rank(*comm, &mype); - - /********************************/ - /* Try and take care bad inputs */ - /********************************/ - if (options != NULL && options[0] == 1) - dbglvl = options[PMV3_OPTION_DBGLVL]; - CheckInputs(ADAPTIVE_PARTITION, npes, dbglvl, wgtflag, &iwgtflag, numflag, &inumflag, - ncon, &incon, nparts, &inparts, tpwgts, &itpwgts, ubvec, iubvec, - ipc2redist, &iipc2redist, options, ioptions, part, comm); - - /* ADD: take care of disconnected graph */ - /* ADD: take care of highly unbalanced vtxdist */ - /*********************************/ - /* Take care the nparts = 1 case */ - /*********************************/ - if (inparts == 1) { - idxset(vtxdist[mype+1]-vtxdist[mype], 0, part); - *edgecut = 0; - return; - } - - /**************************/ - /* Set up data structures */ - /**************************/ - if (inumflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 1); - - /*****************************/ - /* Set up control structures */ - /*****************************/ - if (ioptions[0] == 1) { - dbglvl = ioptions[PMV3_OPTION_DBGLVL]; - seed = ioptions[PMV3_OPTION_SEED]; - ps_relation = (npes == inparts ? ioptions[PMV3_OPTION_PSR] : DISCOUPLED); - } - else { - dbglvl = GLOBAL_DBGLVL; - seed = GLOBAL_SEED; - ps_relation = (npes == inparts ? COUPLED : DISCOUPLED); - } - - SetUpCtrl(&ctrl, inparts, dbglvl, *comm); - vtx_factor = (amax(npes, inparts) > 256) ? 20 : 50; - ctrl.CoarsenTo = amin(vtxdist[npes]+1, vtx_factor*incon*amax(npes, inparts)); - ctrl.ipc_factor = iipc2redist; - ctrl.redist_factor = 1.0; - ctrl.redist_base = 1.0; - ctrl.seed = (seed == 0 ? mype : seed*mype); - ctrl.sync = GlobalSEMax(&ctrl, seed); - ctrl.partType = ADAPTIVE_PARTITION; - ctrl.ps_relation = ps_relation; - ctrl.tpwgts = itpwgts; - - graph = Moc_SetUpGraph(&ctrl, incon, vtxdist, xadj, vwgt, adjncy, adjwgt, &iwgtflag); - graph->vsize = (vsize == NULL ? idxsmalloc(graph->nvtxs, 1, "vsize") : vsize); - - graph->home = idxmalloc(graph->nvtxs, "home"); - if (ctrl.ps_relation == COUPLED) - idxset(graph->nvtxs, mype, graph->home); - else { - /* Downgrade the partition numbers if part[] has more partitions that nparts */ - for (i=0; i<graph->nvtxs; i++) - part[i] = (part[i] >= ctrl.nparts ? 0 : part[i]); - - idxcopy(graph->nvtxs, part, graph->home); - } - - tewgt = idxsum(graph->nedges, graph->adjwgt); - tvsize = idxsum(graph->nvtxs, graph->vsize); - gtewgt = (float) GlobalSESum(&ctrl, tewgt) + 1.0/graph->gnvtxs; /* The +1/graph->gnvtxs were added to remove any FPE */ - gtvsize = (float) GlobalSESum(&ctrl, tvsize) + 1.0/graph->gnvtxs; - ctrl.edge_size_ratio = gtewgt/gtvsize; - scopy(incon, iubvec, ctrl.ubvec); - - PreAllocateMemory(&ctrl, graph, &wspace); - - /***********************/ - /* Partition and Remap */ - /***********************/ - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - Adaptive_Partition(&ctrl, graph, &wspace); - ParallelReMapGraph(&ctrl, graph, &wspace); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - - idxcopy(graph->nvtxs, graph->where, part); - if (edgecut != NULL) - *edgecut = graph->mincut; - - /***********************/ - /* Take care of output */ - /***********************/ - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - - if (ctrl.dbglvl&DBG_INFO) { - Mc_ComputeMoveStatistics(&ctrl, graph, &nmoved, &maxin, &maxout); - rprintf(&ctrl, "Final %3d-way Cut: %6d \tBalance: ", inparts, graph->mincut); - avg = 0.0; - for (h=0; h<incon; h++) { - maximb = 0.0; - for (i=0; i<inparts; i++) - maximb = amax(maximb, graph->gnpwgts[i*incon+h]/itpwgts[i*incon+h]); - avg += maximb; - rprintf(&ctrl, "%.3f ", maximb); - } - rprintf(&ctrl, "\nNMoved: %d %d %d %d\n", nmoved, maxin, maxout, maxin+maxout); - } - - /*************************************/ - /* Free memory, renumber, and return */ - /*************************************/ - GKfree((void **)&graph->lnpwgts, (void **)&graph->gnpwgts, (void **)&graph->nvwgt, (void **)(&graph->home), LTERM); - if (vsize == NULL) - GKfree((void **)(&graph->vsize), LTERM); - GKfree((void **)&itpwgts, LTERM); - FreeInitialGraphAndRemap(graph, iwgtflag); - FreeWSpace(&wspace); - FreeCtrl(&ctrl); - - if (inumflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 0); - - return; -} - - - - -/************************************************************************* -* This function is the driver for the adaptive refinement mode of ParMETIS -**************************************************************************/ -void Adaptive_Partition(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i; - int tewgt, tvsize; - float gtewgt, gtvsize; - float ubavg, lbavg, lbvec[MAXNCON]; - - /************************************/ - /* Set up important data structures */ - /************************************/ - SetUp(ctrl, graph, wspace); - - ubavg = savg(graph->ncon, ctrl->ubvec); - tewgt = idxsum(graph->nedges, graph->adjwgt); - tvsize = idxsum(graph->nvtxs, graph->vsize); - gtewgt = (float) GlobalSESum(ctrl, tewgt) + 1.0/graph->gnvtxs; /* The +1/graph->gnvtxs were added to remove any FPE */ - gtvsize = (float) GlobalSESum(ctrl, tvsize) + 1.0/graph->gnvtxs; - ctrl->redist_factor = ctrl->redist_base * ((gtewgt/gtvsize)/ ctrl->edge_size_ratio); - - IFSET(ctrl->dbglvl, DBG_PROGRESS, rprintf(ctrl, "[%6d %8d %5d %5d][%d]\n", - graph->gnvtxs, GlobalSESum(ctrl, graph->nedges), GlobalSEMin(ctrl, graph->nvtxs), GlobalSEMax(ctrl, graph->nvtxs), ctrl->CoarsenTo)); - - if (graph->gnvtxs < 1.3*ctrl->CoarsenTo || - (graph->finer != NULL && graph->gnvtxs > graph->finer->gnvtxs*COARSEN_FRACTION)) { - - /***********************************************/ - /* Balance the partition on the coarsest graph */ - /***********************************************/ - graph->where = idxsmalloc(graph->nvtxs+graph->nrecv, -1, "graph->where"); - idxcopy(graph->nvtxs, graph->home, graph->where); - - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - lbavg = savg(graph->ncon, lbvec); - - if (lbavg > ubavg + 0.035 && ctrl->partType != REFINE_PARTITION) - Balance_Partition(ctrl, graph, wspace); - - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, balance: ", graph->gnvtxs); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - - /* check if no coarsening took place */ - if (graph->finer == NULL) { - Moc_ComputePartitionParams(ctrl, graph, wspace); - Moc_KWayBalance(ctrl, graph, wspace, graph->ncon); - Moc_KWayAdaptiveRefine(ctrl, graph, wspace, NGR_PASSES); - } - } - else { - /*******************************/ - /* Coarsen it and partition it */ - /*******************************/ - switch (ctrl->ps_relation) { - case COUPLED: - Mc_LocalMatch_HEM(ctrl, graph, wspace); - break; - case DISCOUPLED: - default: - Moc_GlobalMatch_Balance(ctrl, graph, wspace); - break; - } - - Adaptive_Partition(ctrl, graph->coarser, wspace); - - /********************************/ - /* project partition and refine */ - /********************************/ - Moc_ProjectPartition(ctrl, graph, wspace); - Moc_ComputePartitionParams(ctrl, graph, wspace); - - if (graph->ncon > 1 && graph->level < 4) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - lbavg = savg(graph->ncon, lbvec); - - if (lbavg > ubavg + 0.025) { - Moc_KWayBalance(ctrl, graph, wspace, graph->ncon); - } - } - - Moc_KWayAdaptiveRefine(ctrl, graph, wspace, NGR_PASSES); - - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, cut: %8d, balance: ", graph->gnvtxs, graph->mincut); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - } -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/backcompat.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/backcompat.c deleted file mode 100644 index b62d4bb..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/backcompat.c +++ /dev/null @@ -1,517 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * backcompat.c - * - * This file ensures backwards compatability with previous ParMETIS releases - * - * Started 10/19/96 - * George - * - * $Id: backcompat.c,v 1.2 2003/07/21 17:18:48 karypis Exp $ - * - */ - -#include <parmetislib.h> - -/***************************************************************************** -* This function computes a partitioning. -*****************************************************************************/ -void ParMETIS_PartKway(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, - idxtype *part, MPI_Comm *comm) -{ - int i; - int ncon = 1; - float *tpwgts, ubvec[MAXNCON]; - int myoptions[10]; - - tpwgts = fmalloc(*nparts*ncon, "tpwgts"); - for (i=0; i<*nparts*ncon; i++) - tpwgts[i] = 1.0/(float)(*nparts); - for (i=0; i<ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - } - - ParMETIS_V3_PartKway(vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, - &ncon, nparts, tpwgts, ubvec, myoptions, edgecut, part, comm); - - free(tpwgts); -} - - - -/*********************************************************************************** - * * This function is the entry point of the parallel k-way multilevel partitionioner. - * * This function assumes nothing about the graph distribution. - * * It is the general case. - * ************************************************************************************/ -void PARKMETIS(idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm) -{ - int wgtflag, numflag, edgecut, newoptions[5]; - int npes; - - MPI_Comm_size(comm, &npes); - - newoptions[0] = 1; - newoptions[OPTION_IPART] = options[2]; - newoptions[OPTION_FOLDF] = options[1]; - newoptions[OPTION_DBGLVL] = options[4]; - - numflag = options[3]; - wgtflag = (vwgt == NULL ? 0 : 2) + (adjwgt == NULL ? 0 : 1); - - ParMETIS_PartKway(vtxdist, xadj, adjncy, vwgt, adjwgt, &wgtflag, &numflag, &npes, - newoptions, &edgecut, part, &comm); - - options[0] = edgecut; - -} - - - -/***************************************************************************** -* This function computes a partitioning using coordinate data. -*****************************************************************************/ -void ParMETIS_PartGeomKway(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *ndims, float *xyz, int *nparts, - int *options, int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int i; - int ncon = 1; - float *tpwgts, ubvec[MAXNCON]; - int myoptions[10]; - - tpwgts = fmalloc(*nparts*ncon, "tpwgts"); - for (i=0; i<*nparts*ncon; i++) - tpwgts[i] = 1.0/(float)(*nparts); - for (i=0; i<ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - } - - ParMETIS_V3_PartGeomKway(vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, ndims, xyz, - &ncon, nparts, tpwgts, ubvec, myoptions, edgecut, part, comm); - - free(tpwgts); - return; -} - - -/*********************************************************************************** -* This function is the entry point of the parallel ordering algorithm. -* This function assumes that the graph is already nice partitioned among the -* processors and then proceeds to perform recursive bisection. -************************************************************************************/ -void ParMETIS_PartGeom(idxtype *vtxdist, int *ndims, float *xyz, idxtype *part, MPI_Comm *comm) -{ - ParMETIS_V3_PartGeom(vtxdist, ndims, xyz, part, comm); -} - - -/***************************************************************************** -* This function computes a partitioning using coordinate data. -*****************************************************************************/ -void ParMETIS_PartGeomRefine(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *ndims, - float *xyz, int *options, int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int i; - int npes, nparts, ncon = 1; - float *tpwgts, ubvec[MAXNCON]; - int myoptions[10]; - - MPI_Comm_size(*comm, &npes); - nparts = npes; - - tpwgts = fmalloc(nparts*ncon, "tpwgts"); - for (i=0; i<nparts*ncon; i++) - tpwgts[i] = 1.0/(float)(nparts); - for (i=0; i<ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - } - - ParMETIS_V3_PartGeomKway(vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, ndims, xyz, - &ncon, &nparts, tpwgts, ubvec, myoptions, edgecut, part, comm); - - free(tpwgts); - return; -} - - -/*********************************************************************************** -* This function is the entry point of the parallel kmetis algorithm that uses -* coordinates to compute an initial graph distribution. -************************************************************************************/ -void PARGKMETIS(idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - int ndims, float *xyz, idxtype *part, int *options, MPI_Comm comm) -{ - int npes, wgtflag, numflag, edgecut, newoptions[5]; - - MPI_Comm_size(comm, &npes); - - newoptions[0] = 1; - newoptions[OPTION_IPART] = options[2]; - newoptions[OPTION_FOLDF] = options[1]; - newoptions[OPTION_DBGLVL] = options[4]; - - numflag = options[3]; - wgtflag = (vwgt == NULL ? 0 : 2) + (adjwgt == NULL ? 0 : 1); - - ParMETIS_PartGeomKway(vtxdist, xadj, adjncy, vwgt, adjwgt, &wgtflag, &numflag, - &ndims, xyz, &npes, newoptions, &edgecut, part, &comm); - - options[0] = edgecut; - -} - - -/*********************************************************************************** -* This function is the entry point of the parallel rmetis algorithm that uses -* coordinates to compute an initial graph distribution. -************************************************************************************/ -void PARGRMETIS(idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - int ndims, float *xyz, idxtype *part, int *options, MPI_Comm comm) -{ - int wgtflag, numflag, edgecut, newoptions[5]; - - newoptions[0] = 1; - newoptions[OPTION_IPART] = options[2]; - newoptions[OPTION_FOLDF] = options[1]; - newoptions[OPTION_DBGLVL] = options[4]; - - numflag = options[3]; - wgtflag = (vwgt == NULL ? 0 : 2) + (adjwgt == NULL ? 0 : 1); - - ParMETIS_PartGeomRefine(vtxdist, xadj, adjncy, vwgt, adjwgt, &wgtflag, &numflag, - &ndims, xyz, newoptions, &edgecut, part, &comm); - - options[0] = edgecut; - -} - -/*********************************************************************************** -* This function is the entry point of the parallel ordering algorithm. -* This function assumes that the graph is already nice partitioned among the -* processors and then proceeds to perform recursive bisection. -************************************************************************************/ -void PARGMETIS(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int ndims, float *xyz, - idxtype *part, int *options, MPI_Comm comm) -{ - - ParMETIS_PartGeom(vtxdist, &ndims, xyz, part, &comm); - - options[0] = -1; - -} - -/***************************************************************************** -* This function performs refinement on a partitioning. -*****************************************************************************/ -void ParMETIS_RefineKway(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int i; - int nparts; - int ncon = 1; - float *tpwgts, ubvec[MAXNCON]; - int myoptions[10]; - - MPI_Comm_size(*comm, &nparts); - tpwgts = fmalloc(nparts*ncon, "tpwgts"); - for (i=0; i<nparts*ncon; i++) - tpwgts[i] = 1.0/(float)(nparts); - for (i=0; i<ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - myoptions[PMV3_OPTION_PSR] = COUPLED; - } - - ParMETIS_V3_RefineKway(vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, - &ncon, &nparts, tpwgts, ubvec, myoptions, edgecut, part, comm); - - free(tpwgts); -} - - -/*********************************************************************************** -* This function is the entry point of the parallel k-way multilevel partitionioner. -* This function assumes nothing about the graph distribution. -* It is the general case. -************************************************************************************/ -void PARRMETIS(idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm) -{ - int wgtflag, numflag, edgecut, newoptions[5]; - - newoptions[0] = 1; - newoptions[OPTION_IPART] = options[2]; - newoptions[OPTION_FOLDF] = options[1]; - newoptions[OPTION_DBGLVL] = options[4]; - - numflag = options[3]; - wgtflag = (vwgt == NULL ? 0 : 2) + (adjwgt == NULL ? 0 : 1); - - ParMETIS_RefineKway(vtxdist, xadj, adjncy, vwgt, adjwgt, &wgtflag, &numflag, - newoptions, &edgecut, part, &comm); - - options[0] = edgecut; - -} - - -/***************************************************************************** -* This function computes a repartitioning by local diffusion. -*****************************************************************************/ -void ParMETIS_RepartLDiffusion(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int i; - int nparts; - int ncon = 1; - float *tpwgts, ubvec[MAXNCON]; - float ipc_factor = 1.0; - int myoptions[10]; - - MPI_Comm_size(*comm, &nparts); - tpwgts = fmalloc(nparts*ncon, "tpwgts"); - for (i=0; i<nparts*ncon; i++) - tpwgts[i] = 1.0/(float)(nparts); - for (i=0; i<ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - myoptions[PMV3_OPTION_PSR] = COUPLED; - } - - ParMETIS_V3_AdaptiveRepart(vtxdist, xadj, adjncy, vwgt, NULL, adjwgt, wgtflag, numflag, - &ncon, &nparts, tpwgts, ubvec, &ipc_factor, myoptions, edgecut, part, comm); - - free(tpwgts); -} - - -/*********************************************************************************** -* This function is the entry point of the parallel multilevel undirected diffusion -* algorithm. It uses parallel undirected diffusion followed by adaptive k-way -* refinement. This function utilizes local coarsening. -************************************************************************************/ -void PARUAMETIS(idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm) -{ - int wgtflag, numflag, edgecut, newoptions[5]; - - newoptions[0] = 1; - newoptions[OPTION_IPART] = options[2]; - newoptions[OPTION_FOLDF] = options[1]; - newoptions[OPTION_DBGLVL] = options[4]; - - numflag = options[3]; - wgtflag = (vwgt == NULL ? 0 : 2) + (adjwgt == NULL ? 0 : 1); - - ParMETIS_RepartLDiffusion(vtxdist, xadj, adjncy, vwgt, adjwgt, &wgtflag, &numflag, - newoptions, &edgecut, part, &comm); - - options[0] = edgecut; - -} - -/***************************************************************************** -* This function computes a repartitioning by global diffusion. -*****************************************************************************/ -void ParMETIS_RepartGDiffusion(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int i; - int nparts; - int ncon = 1; - float *tpwgts, ubvec[MAXNCON]; - float ipc_factor = 100.0; - int myoptions[10]; - - MPI_Comm_size(*comm, &nparts); - tpwgts = fmalloc(nparts*ncon, "tpwgts"); - for (i=0; i<nparts*ncon; i++) - tpwgts[i] = 1.0/(float)(nparts); - for (i=0; i<ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - myoptions[PMV3_OPTION_PSR] = COUPLED; - } - - ParMETIS_V3_AdaptiveRepart(vtxdist, xadj, adjncy, vwgt, NULL, adjwgt, wgtflag, numflag, - &ncon, &nparts, tpwgts, ubvec, &ipc_factor, myoptions, edgecut, part, comm); - - free(tpwgts); -} - -/*********************************************************************************** -* This function is the entry point of the parallel multilevel directed diffusion -* algorithm. It uses parallel undirected diffusion followed by adaptive k-way -* refinement. This function utilizes local coarsening. -************************************************************************************/ -void PARDAMETIS(idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm) -{ - int wgtflag, numflag, edgecut, newoptions[5]; - - newoptions[0] = 1; - newoptions[OPTION_IPART] = options[2]; - newoptions[OPTION_FOLDF] = options[1]; - newoptions[OPTION_DBGLVL] = options[4]; - - numflag = options[3]; - wgtflag = (vwgt == NULL ? 0 : 2) + (adjwgt == NULL ? 0 : 1); - - ParMETIS_RepartGDiffusion(vtxdist, xadj, adjncy, vwgt, adjwgt, &wgtflag, &numflag, - newoptions, &edgecut, part, &comm); - - options[0] = edgecut; - -} - -/***************************************************************************** -* This function computes a repartitioning by scratch-remap. -*****************************************************************************/ -void ParMETIS_RepartRemap(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int i; - int nparts; - int ncon = 1; - float *tpwgts, ubvec[MAXNCON]; - float ipc_factor = 1000.0; - int myoptions[10]; - - MPI_Comm_size(*comm, &nparts); - tpwgts = fmalloc(nparts*ncon, "tpwgts"); - for (i=0; i<nparts*ncon; i++) - tpwgts[i] = 1.0/(float)(nparts); - for (i=0; i<ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - myoptions[PMV3_OPTION_PSR] = COUPLED; - } - - ParMETIS_V3_AdaptiveRepart(vtxdist, xadj, adjncy, vwgt, NULL, adjwgt, wgtflag, numflag, - &ncon, &nparts, tpwgts, ubvec, &ipc_factor, myoptions, edgecut, part, comm); - - free(tpwgts); -} - - -/***************************************************************************** -* This function computes a repartitioning by LMSR scratch-remap. -*****************************************************************************/ -void ParMETIS_RepartMLRemap(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int i; - int nparts; - int ncon = 1; - float *tpwgts, ubvec[MAXNCON]; - float ipc_factor = 1000.0; - int myoptions[10]; - - MPI_Comm_size(*comm, &nparts); - tpwgts = fmalloc(nparts*ncon, "tpwgts"); - for (i=0; i<nparts*ncon; i++) - tpwgts[i] = 1.0/(float)(nparts); - for (i=0; i<ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - myoptions[PMV3_OPTION_PSR] = COUPLED; - } - - ParMETIS_V3_AdaptiveRepart(vtxdist, xadj, adjncy, vwgt, NULL, adjwgt, wgtflag, numflag, - &ncon, &nparts, tpwgts, ubvec, &ipc_factor, myoptions, edgecut, part, comm); - - free(tpwgts); -} - -/*********************************************************************************** -* This function is the entry point of the parallel ordering algorithm. -* This function assumes that the graph is already nice partitioned among the -* processors and then proceeds to perform recursive bisection. -************************************************************************************/ -void ParMETIS_NodeND(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, - int *options, idxtype *order, idxtype *sizes, MPI_Comm *comm) -{ - int myoptions[10]; - - if (options[0] == 0) { - myoptions[0] = 0; - } - else { - myoptions[0] = 1; - myoptions[PMV3_OPTION_DBGLVL] = options[OPTION_DBGLVL]; - myoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - myoptions[PMV3_OPTION_IPART] = options[OPTION_IPART]; - } - - ParMETIS_V3_NodeND(vtxdist, xadj, adjncy, numflag, myoptions, order, sizes, comm); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/balancemylink.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/balancemylink.c deleted file mode 100644 index dd944d1..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/balancemylink.c +++ /dev/null @@ -1,342 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * balancemylink.c - * - * This file contains code that implements the edge-based FM refinement - * - * Started 7/23/97 - * George - * - * $Id: balancemylink.c,v 1.2 2003/07/21 17:18:48 karypis Exp $ - */ - -#include <parmetislib.h> -#define PE 0 - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -int BalanceMyLink(CtrlType *ctrl, GraphType *graph, idxtype *home, int me, - int you, float *flows, float maxdiff, float *diff_cost, float *diff_lbavg, - float avgvwgt) -{ - int h, i, ii, j, k; - int nvtxs, ncon; - int nqueues, minval, maxval, higain, vtx, edge, totalv; - int from, to, qnum, index, nchanges, cut, tmp; - int pass, nswaps, nmoves, multiplier; - idxtype *xadj, *vsize, *adjncy, *adjwgt, *where, *ed, *id; - idxtype *hval, *nvpq, *inq, *map, *rmap, *ptr, *myqueue, *changes; - float *nvwgt, lbvec[MAXNCON], pwgts[MAXNCON*2], tpwgts[MAXNCON*2], my_wgt[MAXNCON]; - float newgain, oldgain = 0.0; - float lbavg, bestflow, mycost; - float ipc_factor, redist_factor, ftmp; - FPQueueType *queues; -int mype; -MPI_Comm_rank(MPI_COMM_WORLD, &mype); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - vsize = graph->vsize; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - ipc_factor = ctrl->ipc_factor; - redist_factor = ctrl->redist_factor; - - hval = idxmalloc(nvtxs*7, "hval"); - id = hval + nvtxs; - ed = hval + nvtxs*2; - map = hval + nvtxs*3; - rmap = hval + nvtxs*4; - myqueue = hval + nvtxs*5; - changes = hval + nvtxs*6; - - sset(ncon*2, 0.0, pwgts); - for (h=0; h<ncon; h++) { - tpwgts[h] = -1.0 * flows[h]; - tpwgts[ncon+h] = flows[h]; - } - - for (i=0; i<nvtxs; i++) { - if (where[i] == me) { - for (h=0; h<ncon; h++) { - tpwgts[h] += nvwgt[i*ncon+h]; - pwgts[h] += nvwgt[i*ncon+h]; - } - } - else { - ASSERTS(where[i] == you); - for (h=0; h<ncon; h++) { - tpwgts[ncon+h] += nvwgt[i*ncon+h]; - pwgts[ncon+h] += nvwgt[i*ncon+h]; - } - } - } - - /* we don't want any tpwgts to be less than zero */ - for (h=0; h<ncon; h++) { - if (tpwgts[h] < 0.0) { - tpwgts[ncon+h] += tpwgts[h]; - tpwgts[h] = 0.0; - } - - if (tpwgts[ncon+h] < 0.0) { - tpwgts[h] += tpwgts[ncon+h]; - tpwgts[ncon+h] = 0.0; - } - } - - /*******************************/ - /* insert vertices into queues */ - /*******************************/ - minval = maxval = 0; - multiplier = 1; - for (i=0; i<ncon; i++) { - multiplier *= (i+1); - maxval += i*multiplier; - minval += (ncon-1-i)*multiplier; - } - - nqueues = maxval-minval+1; - nvpq = idxsmalloc(nqueues, 0, "nvpq"); - ptr = idxmalloc(nqueues+1, "ptr"); - inq = idxmalloc(nqueues*2, "inq"); - queues = (FPQueueType *)(GKmalloc(sizeof(FPQueueType)*nqueues*2, "queues")); - - for (i=0; i<nvtxs; i++) - hval[i] = Moc_HashVwgts(ncon, nvwgt+i*ncon) - minval; - - for (i=0; i<nvtxs; i++) - nvpq[hval[i]]++; - - ptr[0] = 0; - for (i=0; i<nqueues; i++) - ptr[i+1] = ptr[i] + nvpq[i]; - - for (i=0; i<nvtxs; i++) { - map[i] = ptr[hval[i]]; - rmap[ptr[hval[i]]++] = i; - } - - for (i=nqueues-1; i>0; i--) - ptr[i] = ptr[i-1]; - ptr[0] = 0; - - /* initialize queues */ - for (i=0; i<nqueues; i++) - if (nvpq[i] > 0) { - FPQueueInit(queues+i, nvpq[i]); - FPQueueInit(queues+i+nqueues, nvpq[i]); - } - - /* compute internal/external degrees */ - idxset(nvtxs, 0, id); - idxset(nvtxs, 0, ed); - for (j=0; j<nvtxs; j++) - for (k=xadj[j]; k<xadj[j+1]; k++) - if (where[adjncy[k]] == where[j]) - id[j] += adjwgt[k]; - else - ed[j] += adjwgt[k]; - - nswaps = 0; - for (pass=0; pass<N_MOC_BAL_PASSES; pass++) { - idxset(nvtxs, -1, myqueue); - idxset(nqueues*2, 0, inq); - - /* insert vertices into correct queues */ - for (j=0; j<nvtxs; j++) { - index = (where[j] == me) ? 0 : nqueues; - - newgain = ipc_factor*(float)(ed[j]-id[j]); - if (home[j] == me || home[j] == you) { - if (where[j] == home[j]) - newgain -= redist_factor*(float)vsize[j]; - else - newgain += redist_factor*(float)vsize[j]; - } - - FPQueueInsert(queues+hval[j]+index, map[j]-ptr[hval[j]], newgain); - myqueue[j] = (where[j] == me) ? 0 : 1; - inq[hval[j]+index]++; - } - -/* bestflow = sfavg(ncon, flows); */ - for (j=0, h=0; h<ncon; h++) - if (fabs(flows[h]) > fabs(flows[j])) j = h; - bestflow = fabs(flows[j]); - - nchanges = nmoves = 0; - for (ii=0; ii<nvtxs/2; ii++) { - from = -1; - Moc_DynamicSelectQueue(nqueues, ncon, me, you, inq, flows, &from, - &qnum, minval, avgvwgt, maxdiff); - - /* can't find a vertex in one subdomain, try the other */ - if (from != -1 && qnum == -1) { - from = (from == me) ? you : me; - - if (from == me) { - for (j=0; j<ncon; j++) - if (flows[j] > avgvwgt) - break; - } - else { - for (j=0; j<ncon; j++) - if (flows[j] < -1.0*avgvwgt) - break; - } - - if (j != ncon) - Moc_DynamicSelectQueue(nqueues, ncon, me, you, inq, flows, &from, - &qnum, minval, avgvwgt, maxdiff); - } - - if (qnum == -1) - break; - - to = (from == me) ? you : me; - index = (from == me) ? 0 : nqueues; - higain = FPQueueGetMax(queues+qnum+index); - inq[qnum+index]--; - ASSERTS(higain != -1); - - /*****************/ - /* make the swap */ - /*****************/ - vtx = rmap[higain+ptr[qnum]]; - myqueue[vtx] = -1; - where[vtx] = to; - nswaps++; - nmoves++; - - /* update the flows */ - for (j=0; j<ncon; j++) - flows[j] += (to == me) ? nvwgt[vtx*ncon+j] : -1.0*nvwgt[vtx*ncon+j]; - -/* ftmp = sfavg(ncon, flows); */ - for (j=0, h=0; h<ncon; h++) - if (fabs(flows[h]) > fabs(flows[j])) j = h; - ftmp = fabs(flows[j]); - - if (ftmp < bestflow) { - bestflow = ftmp; - nchanges = 0; - } - else { - changes[nchanges++] = vtx; - } - - SWAP(id[vtx], ed[vtx], tmp); - - for (j=xadj[vtx]; j<xadj[vtx+1]; j++) { - edge = adjncy[j]; - - /* must compute oldgain before changing id/ed */ - if (myqueue[edge] != -1) { - oldgain = ipc_factor*(float)(ed[edge]-id[edge]); - if (home[edge] == me || home[edge] == you) { - if (where[edge] == home[edge]) - oldgain -= redist_factor*(float)vsize[edge]; - else - oldgain += redist_factor*(float)vsize[edge]; - } - } - - tmp = (to == where[edge] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[edge], ed[edge], tmp); - - if (myqueue[edge] != -1) { - newgain = ipc_factor*(float)(ed[edge]-id[edge]); - if (home[edge] == me || home[edge] == you) { - if (where[edge] == home[edge]) - newgain -= redist_factor*(float)vsize[edge]; - else - newgain += redist_factor*(float)vsize[edge]; - } - - FPQueueUpdate(queues+hval[edge]+(nqueues*myqueue[edge]), - map[edge]-ptr[hval[edge]], oldgain, newgain); - } - } - } - - /****************************/ - /* now go back to best flow */ - /****************************/ - nswaps -= nchanges; - nmoves -= nchanges; - for (i=0; i<nchanges; i++) { - vtx = changes[i]; - from = where[vtx]; - where[vtx] = to = (from == me) ? you : me; - - SWAP(id[vtx], ed[vtx], tmp); - for (j=xadj[vtx]; j<xadj[vtx+1]; j++) { - edge = adjncy[j]; - tmp = (to == where[edge] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[edge], ed[edge], tmp); - } - } - - for (i=0; i<nqueues; i++) { - if (nvpq[i] > 0) { - FPQueueReset(queues+i); - FPQueueReset(queues+i+nqueues); - } - } - - if (nmoves == 0) - break; - } - - /***************************/ - /* compute 2-way imbalance */ - /***************************/ - sset(ncon, 0.0, my_wgt); - for (i=0; i<nvtxs; i++) - if (where[i] == me) - for (h=0; h<ncon; h++) - my_wgt[h] += nvwgt[i*ncon+h]; - - for (i=0; i<ncon; i++) { - ftmp = (pwgts[i]+pwgts[ncon+i])/2.0; - if (ftmp != 0.0) - lbvec[i] = fabs(my_wgt[i]-tpwgts[i]) / ftmp; - else - lbvec[i] = 0.0; - } - lbavg = savg(ncon, lbvec); - *diff_lbavg = lbavg; - - /****************/ - /* compute cost */ - /****************/ - cut = totalv = 0; - for (i=0; i<nvtxs; i++) { - if (where[i] != home[i]) - totalv += vsize[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) - if (where[adjncy[j]] != where[i]) - cut += adjwgt[j]; - } - cut /= 2; - mycost = cut*ipc_factor + totalv*redist_factor; - *diff_cost = mycost; - - /* free memory */ - for (i=0; i<nqueues; i++) - if (nvpq[i] > 0) { - FPQueueFree(queues+i); - FPQueueFree(queues+i+nqueues); - } - - GKfree((void **)&hval, (void **)&nvpq, (void **)&ptr, (void **)&inq, (void **)&queues, LTERM); - return nswaps; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/coarsen.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/coarsen.c deleted file mode 100644 index 70f48c2..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/coarsen.c +++ /dev/null @@ -1,485 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mcoarsen.c - * - * This file contains code that performs graph coarsening - * - * Started 2/22/96 - * George - * - * $Id: coarsen.c,v 1.2 2003/07/21 17:18:48 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function creates the coarser graph -**************************************************************************/ -void Moc_Global_CreateCoarseGraph(CtrlType *ctrl, GraphType *graph, - WorkSpaceType *wspace, int cnvtxs) -{ - int h, i, j, k, l, ii, jj, ll, nnbrs, nvtxs, nedges, ncon; - int firstvtx, lastvtx, cfirstvtx, clastvtx, otherlastvtx; - int npes=ctrl->npes, mype=ctrl->mype; - int cnedges, nsend, nrecv, nkeepsize, nrecvsize, nsendsize, v, u; - idxtype *xadj, *ladjncy, *adjwgt, *vwgt, *vsize, *vtxdist, *home; - idxtype *match, *cmap, *rcmap, *scmap; - idxtype *cxadj, *cadjncy, *cadjwgt, *cvwgt, *cvsize = NULL, *chome = NULL, *cvtxdist; - idxtype *rsizes, *ssizes, *rlens, *slens, *rgraph, *sgraph, *perm; - idxtype *peind, *recvptr, *recvind; - float *nvwgt, *cnvwgt; - GraphType *cgraph; - KeyValueType *scand, *rcand; - int mask=(1<<13)-1, htable[8192], htableidx[8192]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - - vtxdist = graph->vtxdist; - xadj = graph->xadj; - vwgt = graph->vwgt; - vsize = graph->vsize; - nvwgt = graph->nvwgt; - home = graph->home; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - match = graph->match; - - firstvtx = vtxdist[mype]; - lastvtx = vtxdist[mype+1]; - - cmap = graph->cmap = idxmalloc(nvtxs+graph->nrecv, "CreateCoarseGraph: cmap"); - - nnbrs = graph->nnbrs; - peind = graph->peind; - recvind = graph->recvind; - recvptr = graph->recvptr; - - /* Use wspace->indices as the tmp space for map of the boundary - * vertices that are sent and received */ - scmap = wspace->indices; - rcmap = cmap + nvtxs; - - - /* Initialize the coarser graph */ - cgraph = CreateGraph(); - cgraph->nvtxs = cnvtxs; - cgraph->ncon = ncon; - cgraph->level = graph->level+1; - cgraph->finer = graph; - graph->coarser = cgraph; - - - - /************************************************************* - * Obtain the vtxdist of the coarser graph - **************************************************************/ - cvtxdist = cgraph->vtxdist = idxmalloc(npes+1, "CreateCoarseGraph: cvtxdist"); - cvtxdist[npes] = cnvtxs; /* Use last position in the cvtxdist as a temp buffer */ - - MPI_Allgather((void *)(cvtxdist+npes), 1, IDX_DATATYPE, (void *)cvtxdist, 1, IDX_DATATYPE, ctrl->comm); - - MAKECSR(i, npes, cvtxdist); - - cgraph->gnvtxs = cvtxdist[npes]; - -#ifdef DEBUG_CONTRACT - PrintVector(ctrl, npes+1, 0, cvtxdist, "cvtxdist"); -#endif - - - /************************************************************* - * Construct the cmap vector - **************************************************************/ - cfirstvtx = cvtxdist[mype]; - clastvtx = cvtxdist[mype+1]; - - /* Create the cmap of what you know so far locally */ - cnvtxs = 0; - for (i=0; i<nvtxs; i++) { - if (match[i] >= KEEP_BIT) { - k = match[i] - KEEP_BIT; - if (k>=firstvtx && k<firstvtx+i) - continue; /* Both (i,k) are local and i has been matched via the (k,i) side */ - - cmap[i] = cfirstvtx + cnvtxs++; - if (k != firstvtx+i && (k>=firstvtx && k<lastvtx)) { /* I'm matched locally */ - cmap[k-firstvtx] = cmap[i]; - match[k-firstvtx] += KEEP_BIT; /* Add the KEEP_BIT to simplify coding */ - } - } - } - ASSERT(ctrl, cnvtxs == clastvtx-cfirstvtx); - - CommInterfaceData(ctrl, graph, cmap, scmap, rcmap); - - /* Update the cmap of the locally stored vertices that will go away. - * The remote processor assigned cmap for them */ - for (i=0; i<nvtxs; i++) { - if (match[i] < KEEP_BIT) { /* Only vertices that go away satisfy this*/ - cmap[i] = rcmap[BSearch(graph->nrecv, recvind, match[i])]; - } - } - - CommInterfaceData(ctrl, graph, cmap, scmap, rcmap); - - -#ifdef DEBUG_CONTRACT - PrintVector(ctrl, nvtxs, firstvtx, cmap, "Cmap"); -#endif - - - /************************************************************* - * Determine how many adjcency lists you need to send/receive. - **************************************************************/ - /* Use wspace->pairs as the tmp space for the boundary vertices that are sent and received */ - scand = wspace->pairs; - rcand = graph->rcand = (KeyValueType *)GKmalloc(recvptr[nnbrs]*sizeof(KeyValueType), "CreateCoarseGraph: rcand"); - - nkeepsize = nsend = nrecv = 0; - for (i=0; i<nvtxs; i++) { - if (match[i] < KEEP_BIT) { /* This is going away */ - scand[nsend].key = match[i]; - scand[nsend].val = i; - nsend++; - } - else { - nkeepsize += (xadj[i+1]-xadj[i]); - - k = match[i]-KEEP_BIT; - if (k<firstvtx || k>=lastvtx) { /* This is comming from afar */ - rcand[nrecv].key = k; - rcand[nrecv].val = cmap[i] - cfirstvtx; /* Set it for use during the partition projection */ - ASSERT(ctrl, rcand[nrecv].val>=0 && rcand[nrecv].val<cnvtxs); - nrecv++; - } - } - } - - -#ifdef DEBUG_CONTRACT - PrintPairs(ctrl, nsend, scand, "scand"); - PrintPairs(ctrl, nrecv, rcand, "rcand"); -#endif - - /*************************************************************** - * Determine how many lists and their sizes you will send and - * received for each of the neighboring PEs - ****************************************************************/ - rsizes = wspace->pv1; - ssizes = wspace->pv2; - idxset(nnbrs, 0, ssizes); - idxset(nnbrs, 0, rsizes); - rlens = graph->rlens = idxmalloc(nnbrs+1, "CreateCoarseGraph: graph->rlens"); - slens = graph->slens = idxmalloc(nnbrs+1, "CreateCoarseGraph: graph->slens"); - - /* Take care the sending data first */ - ikeyvalsort(nsend, scand); - slens[0] = 0; - for (k=i=0; i<nnbrs; i++) { - otherlastvtx = vtxdist[peind[i]+1]; - for (; k<nsend && scand[k].key < otherlastvtx; k++) - ssizes[i] += (xadj[scand[k].val+1]-xadj[scand[k].val]); - slens[i+1] = k; - } - - /* Take care the receiving data next. You cannot yet determine the rsizes[] */ - ikeyvalsort(nrecv, rcand); - rlens[0] = 0; - for (k=i=0; i<nnbrs; i++) { - otherlastvtx = vtxdist[peind[i]+1]; - for (; k<nrecv && rcand[k].key < otherlastvtx; k++); - rlens[i+1] = k; - } - -#ifdef DEBUG_CONTRACT - PrintVector(ctrl, nnbrs+1, 0, slens, "slens"); - PrintVector(ctrl, nnbrs+1, 0, rlens, "rlens"); -#endif - - /*************************************************************** - * Exchange size information - ****************************************************************/ - /* Issue the receives first. */ - for (i=0; i<nnbrs; i++) { - if (rlens[i+1]-rlens[i] > 0) /* Issue a receive only if you are getting something */ - MPI_Irecv((void *)(rsizes+i), 1, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - /* Take care the sending data next */ - for (i=0; i<nnbrs; i++) { - if (slens[i+1]-slens[i] > 0) /* Issue a send only if you are sending something */ - MPI_Isend((void *)(ssizes+i), 1, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - } - - /* OK, now get into the loop waiting for the operations to finish */ - for (i=0; i<nnbrs; i++) { - if (rlens[i+1]-rlens[i] > 0) - MPI_Wait(ctrl->rreq+i, &ctrl->status); - } - for (i=0; i<nnbrs; i++) { - if (slens[i+1]-slens[i] > 0) - MPI_Wait(ctrl->sreq+i, &ctrl->status); - } - - -#ifdef DEBUG_CONTRACT - PrintVector(ctrl, nnbrs, 0, rsizes, "rsizes"); - PrintVector(ctrl, nnbrs, 0, ssizes, "ssizes"); -#endif - - /************************************************************* - * Allocate memory for received/sent graphs and start sending - * and receiving data. - * rgraph and sgraph is a different data structure than CSR - * to facilitate single message exchange. - **************************************************************/ - nrecvsize = idxsum(nnbrs, rsizes); - nsendsize = idxsum(nnbrs, ssizes); - if ((4+ncon)*(nrecv+nsend) + 2*(nrecvsize+nsendsize) <= wspace->nlarge) { - rgraph = (idxtype *)wspace->degrees; - sgraph = rgraph + (4+ncon)*nrecv+2*nrecvsize; - } - else { - rgraph = idxmalloc((4+ncon)*nrecv+2*nrecvsize, "CreateCoarseGraph: rgraph"); - sgraph = idxmalloc((4+ncon)*nsend+2*nsendsize, "CreateCoarseGraph: sgraph"); - } - - /* Deal with the received portion first */ - for (l=i=0; i<nnbrs; i++) { - /* Issue a receive only if you are getting something */ - if (rlens[i+1]-rlens[i] > 0) { - MPI_Irecv((void *)(rgraph+l), (4+ncon)*(rlens[i+1]-rlens[i])+2*rsizes[i], IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->rreq+i); - l += (4+ncon)*(rlens[i+1]-rlens[i])+2*rsizes[i]; - } - } - - - /* Deal with the sent portion now */ - for (ll=l=i=0; i<nnbrs; i++) { - if (slens[i+1]-slens[i] > 0) { /* Issue a send only if you are sending something */ - for (k=slens[i]; k<slens[i+1]; k++) { - ii = scand[k].val; - sgraph[ll++] = firstvtx+ii; - sgraph[ll++] = xadj[ii+1]-xadj[ii]; - for (h=0; h<ncon; h++) - sgraph[ll++] = vwgt[ii*ncon+h]; - sgraph[ll++] = (ctrl->partType == STATIC_PARTITION) ? -1 : vsize[ii]; - sgraph[ll++] = (ctrl->partType == STATIC_PARTITION) ? -1 : home[ii]; - for (jj=xadj[ii]; jj<xadj[ii+1]; jj++) { - sgraph[ll++] = cmap[ladjncy[jj]]; - sgraph[ll++] = adjwgt[jj]; - } - } - - ASSERT(ctrl, ll-l == (4+ncon)*(slens[i+1]-slens[i])+2*ssizes[i]); - - /* myprintf(ctrl, "Sending to pe:%d, %d lists of size %d\n", peind[i], slens[i+1]-slens[i], ssizes[i]); */ - MPI_Isend((void *)(sgraph+l), ll-l, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - l = ll; - } - } - - /* OK, now get into the loop waiting for the operations to finish */ - for (i=0; i<nnbrs; i++) { - if (rlens[i+1]-rlens[i] > 0) - MPI_Wait(ctrl->rreq+i, &ctrl->status); - } - for (i=0; i<nnbrs; i++) { - if (slens[i+1]-slens[i] > 0) - MPI_Wait(ctrl->sreq+i, &ctrl->status); - } - - -#ifdef DEBUG_CONTRACT - rprintf(ctrl, "Graphs were sent!\n"); - PrintTransferedGraphs(ctrl, nnbrs, peind, slens, rlens, sgraph, rgraph); -#endif - - /************************************************************* - * Setup the mapping from indices returned by BSearch to - * those that are actually stored - **************************************************************/ - perm = idxsmalloc(recvptr[nnbrs], -1, "CreateCoarseGraph: perm"); - for (j=i=0; i<nrecv; i++) { - /* myprintf(ctrl, "For received vertex %d, set perm[%d]=%d\n", rgraph[j], BSearch(graph->nrecv, recvind, rgraph[j]), j+ncon); */ - perm[BSearch(graph->nrecv, recvind, rgraph[j])] = j+1; - j += (4+ncon)+2*rgraph[j+1]; - } - - /************************************************************* - * Finally, create the coarser graph - **************************************************************/ - /* Allocate memory for the coarser graph, and fire up coarsening */ - cxadj = cgraph->xadj = idxmalloc(cnvtxs+1, "CreateCoarserGraph: cxadj"); - cvwgt = cgraph->vwgt = idxmalloc(cnvtxs*ncon, "CreateCoarserGraph: cvwgt"); - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { - cvsize = cgraph->vsize = idxmalloc(cnvtxs, "CreateCoarserGraph: cvsize"); - chome = cgraph->home = idxmalloc(cnvtxs, "CreateCoarserGraph: chome"); - } - cnvwgt = cgraph->nvwgt = fmalloc(cnvtxs*ncon, "CreateCoarserGraph: cnvwgt"); - cadjncy = idxmalloc(2*(nkeepsize+nrecvsize), "CreateCoarserGraph: cadjncy"); - cadjwgt = cadjncy + nkeepsize+nrecvsize; - - iset(8192, -1, htable); - - cxadj[0] = cnvtxs = cnedges = 0; - for (i=0; i<nvtxs; i++) { - if (match[i] >= KEEP_BIT) { - v = firstvtx+i; - u = match[i]-KEEP_BIT; - - if (u>=firstvtx && u<lastvtx && v > u) - continue; /* I have already collapsed it as (u,v) */ - - /* Collapse the v vertex first, which you know is local */ - for (h=0; h<ncon; h++) - cvwgt[cnvtxs*ncon+h] = vwgt[i*ncon+h]; - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { - cvsize[cnvtxs] = vsize[i]; - chome[cnvtxs] = home[i]; - } - nedges = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = cmap[ladjncy[j]]; - if (k != cfirstvtx+cnvtxs) { /* If this is not an internal edge */ - l = k&mask; - if (htable[l] == -1) { /* Seeing this for first time */ - htable[l] = k; - htableidx[l] = cnedges+nedges; - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = adjwgt[j]; - } - else if (htable[l] == k) { - cadjwgt[htableidx[l]] += adjwgt[j]; - } - else { /* Now you have to go and do a search. Expensive case */ - for (l=0; l<nedges; l++) { - if (cadjncy[cnedges+l] == k) - break; - } - if (l < nedges) { - cadjwgt[cnedges+l] += adjwgt[j]; - } - else { - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = adjwgt[j]; - } - } - } - } - - /* Collapse the u vertex next */ - if (v != u) { - if (u>=firstvtx && u<lastvtx) { /* Local vertex */ - u -= firstvtx; - for (h=0; h<ncon; h++) - cvwgt[cnvtxs*ncon+h] += vwgt[u*ncon+h]; - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { - cvsize[cnvtxs] += vsize[u]; - /* chome[cnvtxs] = home[u]; */ - } - - for (j=xadj[u]; j<xadj[u+1]; j++) { - k = cmap[ladjncy[j]]; - if (k != cfirstvtx+cnvtxs) { /* If this is not an internal edge */ - l = k&mask; - if (htable[l] == -1) { /* Seeing this for first time */ - htable[l] = k; - htableidx[l] = cnedges+nedges; - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = adjwgt[j]; - } - else if (htable[l] == k) { - cadjwgt[htableidx[l]] += adjwgt[j]; - } - else { /* Now you have to go and do a search. Expensive case */ - for (l=0; l<nedges; l++) { - if (cadjncy[cnedges+l] == k) - break; - } - if (l < nedges) { - cadjwgt[cnedges+l] += adjwgt[j]; - } - else { - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = adjwgt[j]; - } - } - } - } - } - else { /* Remote vertex */ - u = perm[BSearch(graph->nrecv, recvind, u)]; - for (h=0; h<ncon; h++) - /* Remember that the +1 stores the vertex weight */ - cvwgt[cnvtxs*ncon+h] += rgraph[(u+1)+h]; - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { - cvsize[cnvtxs] += rgraph[u+1+ncon]; - chome[cnvtxs] = rgraph[u+2+ncon]; - } - for (j=0; j<rgraph[u]; j++) { - k = rgraph[u+3+ncon+2*j]; - if (k != cfirstvtx+cnvtxs) { /* If this is not an internal edge */ - l = k&mask; - if (htable[l] == -1) { /* Seeing this for first time */ - htable[l] = k; - htableidx[l] = cnedges+nedges; - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = rgraph[u+3+ncon+2*j+1]; - } - else if (htable[l] == k) { - cadjwgt[htableidx[l]] += rgraph[u+3+ncon+2*j+1]; - } - else { /* Now you have to go and do a search. Expensive case */ - for (l=0; l<nedges; l++) { - if (cadjncy[cnedges+l] == k) - break; - } - if (l < nedges) { - cadjwgt[cnedges+l] += rgraph[u+3+ncon+2*j+1]; - } - else { - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = rgraph[u+3+ncon+2*j+1]; - } - } - } - } - } - } - - cnedges += nedges; - for (j=cxadj[cnvtxs]; j<cnedges; j++) - htable[cadjncy[j]&mask] = -1; /* reset the htable */ - cxadj[++cnvtxs] = cnedges; - } - } - - cgraph->nedges = cnedges; - - /* ADD: In order to keep from having to change this too much */ - /* ADD: I kept vwgt array and recomputed nvwgt for each coarser graph */ - for (j=0; j<cnvtxs; j++) - for (h=0; h<ncon; h++) - cgraph->nvwgt[j*ncon+h] = (float)(cvwgt[j*ncon+h])/(float)(ctrl->tvwgts[h]); - - cgraph->adjncy = idxmalloc(cnedges, "CreateCoarserGraph: cadjncy"); - cgraph->adjwgt = idxmalloc(cnedges, "CreateCoarserGraph: cadjwgt"); - idxcopy(cnedges, cadjncy, cgraph->adjncy); - idxcopy(cnedges, cadjwgt, cgraph->adjwgt); - free(cadjncy); - - free(perm); - - if (rgraph != (idxtype *)wspace->degrees) - GKfree((void **)&rgraph, (void **)&sgraph, LTERM); - -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/comm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/comm.c deleted file mode 100644 index fb18789..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/comm.c +++ /dev/null @@ -1,213 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * comm.c - * - * This function provides various high level communication functions - * - * $Id: comm.c,v 1.2 2003/07/21 17:18:48 karypis Exp $ - */ - -#include <parmetislib.h> - - - -/************************************************************************* -* This function performs the gather/scatter for the boundary vertices -**************************************************************************/ -void CommInterfaceData(CtrlType *ctrl, GraphType *graph, idxtype *data, - idxtype *sendvector, idxtype *recvvector) -{ - int i, k, nnbrs, firstvtx; - idxtype *peind, *sendptr, *sendind, *recvptr, *recvind; - - firstvtx = graph->vtxdist[ctrl->mype]; - nnbrs = graph->nnbrs; - peind = graph->peind; - sendptr = graph->sendptr; - sendind = graph->sendind; - recvptr = graph->recvptr; - recvind = graph->recvind; - - /* Issue the receives first */ - for (i=0; i<nnbrs; i++) { - MPI_Irecv((void *)(recvvector+recvptr[i]), recvptr[i+1]-recvptr[i], IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - /* Issue the sends next */ - k = sendptr[nnbrs]; - for (i=0; i<k; i++) - sendvector[i] = data[sendind[i]-firstvtx]; - - for (i=0; i<nnbrs; i++) { - MPI_Isend((void *)(sendvector+sendptr[i]), sendptr[i+1]-sendptr[i], IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->sreq+i); - } - - /* OK, now get into the loop waiting for the operations to finish */ - MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); - -} - - - -/************************************************************************* -* This function performs the gather/scatter for the boundary vertices -**************************************************************************/ -void CommChangedInterfaceData(CtrlType *ctrl, GraphType *graph, - int nchanged, idxtype *changed, idxtype *data, - KeyValueType *sendpairs, KeyValueType *recvpairs, idxtype *psendptr) -{ - int i, j, k, n, penum, nnbrs, firstvtx, nrecv; - idxtype *peind, *sendptr, *recvptr, *recvind, *pexadj, *peadjncy, *peadjloc; - KeyValueType *pairs; - - firstvtx = graph->vtxdist[ctrl->mype]; - nnbrs = graph->nnbrs; - nrecv = graph->nrecv; - peind = graph->peind; - sendptr = graph->sendptr; - recvptr = graph->recvptr; - recvind = graph->recvind; - pexadj = graph->pexadj; - peadjncy = graph->peadjncy; - peadjloc = graph->peadjloc; - - /* Issue the receives first */ - for (i=0; i<nnbrs; i++) { - MPI_Irecv((void *)(recvpairs+recvptr[i]), 2*(recvptr[i+1]-recvptr[i]), IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - if (nchanged != 0) { - idxcopy(ctrl->npes, sendptr, psendptr); - - /* Copy the changed values into the sendvector */ - for (i=0; i<nchanged; i++) { - j = changed[i]; - for (k=pexadj[j]; k<pexadj[j+1]; k++) { - penum = peadjncy[k]; - sendpairs[psendptr[penum]].key = peadjloc[k]; - sendpairs[psendptr[penum]].val = data[j]; - psendptr[penum]++; - } - } - - for (i=0; i<nnbrs; i++) { - MPI_Isend((void *)(sendpairs+sendptr[i]), 2*(psendptr[i]-sendptr[i]), IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->sreq+i); - } - } - else { - for (i=0; i<nnbrs; i++) - MPI_Isend((void *)(sendpairs), 0, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - } - - /* OK, now get into the loop waiting for the operations to finish */ - for (i=0; i<nnbrs; i++) { - MPI_Wait(ctrl->rreq+i, &(ctrl->status)); - MPI_Get_count(&ctrl->status, IDX_DATATYPE, &n); - if (n != 0) { - n = n/2; - pairs = recvpairs+graph->recvptr[i]; - for (k=0; k<n; k++) - data[pairs[k].key] = pairs[k].val; - } - } - - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); -} - - - -/************************************************************************* -* This function computes the max of a single element -**************************************************************************/ -int GlobalSEMax(CtrlType *ctrl, int value) -{ - int max; - - MPI_Allreduce((void *)&value, (void *)&max, 1, MPI_INT, MPI_MAX, ctrl->comm); - - return max; -} - -/************************************************************************* -* This function computes the max of a single element -**************************************************************************/ -double GlobalSEMaxDouble(CtrlType *ctrl, double value) -{ - double max; - - MPI_Allreduce((void *)&value, (void *)&max, 1, MPI_DOUBLE, MPI_MAX, ctrl->comm); - - return max; -} - - - -/************************************************************************* -* This function computes the max of a single element -**************************************************************************/ -int GlobalSEMin(CtrlType *ctrl, int value) -{ - int min; - - MPI_Allreduce((void *)&value, (void *)&min, 1, MPI_INT, MPI_MIN, ctrl->comm); - - return min; -} - -/************************************************************************* -* This function computes the max of a single element -**************************************************************************/ -int GlobalSESum(CtrlType *ctrl, int value) -{ - int sum; - - MPI_Allreduce((void *)&value, (void *)&sum, 1, MPI_INT, MPI_SUM, ctrl->comm); - - return sum; -} - - -/************************************************************************* -* This function computes the max of a single element -**************************************************************************/ -float GlobalSEMaxFloat(CtrlType *ctrl, float value) -{ - float max; - - MPI_Allreduce((void *)&value, (void *)&max, 1, MPI_FLOAT, MPI_MAX, ctrl->comm); - - return max; -} - - - -/************************************************************************* -* This function computes the max of a single element -**************************************************************************/ -float GlobalSEMinFloat(CtrlType *ctrl, float value) -{ - float min; - - MPI_Allreduce((void *)&value, (void *)&min, 1, MPI_FLOAT, MPI_MIN, ctrl->comm); - - return min; -} - -/************************************************************************* -* This function computes the max of a single element -**************************************************************************/ -float GlobalSESumFloat(CtrlType *ctrl, float value) -{ - float sum; - - MPI_Allreduce((void *)&value, (void *)&sum, 1, MPI_FLOAT, MPI_SUM, ctrl->comm); - - return sum; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/csrmatch.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/csrmatch.c deleted file mode 100644 index ace7998..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/csrmatch.c +++ /dev/null @@ -1,88 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * csrmatch.c - * - * This file contains the code that computes matchings - * - * Started 7/23/97 - * George - * - * $Id: csrmatch.c,v 1.2 2003/07/21 17:18:48 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - - -/************************************************************************* -* This function finds a matching using the HEM heuristic -**************************************************************************/ -void CSR_Match_SHEM(MatrixType *matrix, idxtype *match, idxtype *mlist, - idxtype *skip, int ncon) -{ - int h, i, ii, j; - int nrows, edge, maxidx, count; - float maxwgt; - idxtype *rowptr, *colind; - float *transfer; - KVType *links; - - nrows = matrix->nrows; - rowptr = matrix->rowptr; - colind = matrix->colind; - transfer = matrix->transfer; - - idxset(nrows, UNMATCHED, match); - - links = (KVType *)GKmalloc(sizeof(KVType)*nrows, "links"); - for (i=0; i<nrows; i++) { - links[i].key = i; - links[i].val = 0.0; - } - - for (i=0; i<nrows; i++) - for (j=rowptr[i]; j<rowptr[i+1]; j++) - for (h=0; h<ncon; h++) - if (links[i].val < fabs(transfer[j*ncon+h])) - links[i].val = fabs(transfer[j*ncon+h]); - - qsort(links, nrows, sizeof(KVType), myvalkeycompare); - - count = 0; - for (ii=0; ii<nrows; ii++) { - i = links[ii].key; - - if (match[i] == UNMATCHED) { - maxidx = i; - maxwgt = 0.0; - - /* Find a heavy-edge matching */ - for (j=rowptr[i]; j<rowptr[i+1]; j++) { - edge = colind[j]; - if (match[edge] == UNMATCHED && edge != i && skip[j] == 0) { - for (h=0; h<ncon; h++) - if (maxwgt < fabs(transfer[j*ncon+h])) - break; - - if (h != ncon) { - maxwgt = fabs(transfer[j*ncon+h]); - maxidx = edge; - } - } - } - - if (maxidx != i) { - match[i] = maxidx; - match[maxidx] = i; - mlist[count++] = amax(i, maxidx); - mlist[count++] = amin(i, maxidx); - } - } - } - - GKfree((void **)&links, LTERM); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/debug.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/debug.c deleted file mode 100644 index ebdf69c..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/debug.c +++ /dev/null @@ -1,247 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * debug.c - * - * This file contains various functions that are used to display debuging - * information - * - * Started 10/20/96 - * George - * - * $Id: debug.c,v 1.2 2003/07/21 17:18:48 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function prints a vector stored in each processor -**************************************************************************/ -void PrintVector(CtrlType *ctrl, int n, int first, idxtype *vec, char *title) -{ - int i, penum; - - for (penum=0; penum<ctrl->npes; penum++) { - if (ctrl->mype == penum) { - if (ctrl->mype == 0) - printf("%s\n", title); - printf("\t%3d. ", ctrl->mype); - for (i=0; i<n; i++) - printf("[%d %hd] ", first+i, vec[i]); - printf("\n"); - fflush(stdout); - } - MPI_Barrier(ctrl->comm); - } -} - - -/************************************************************************* -* This function prints a vector stored in each processor -**************************************************************************/ -void PrintVector2(CtrlType *ctrl, int n, int first, idxtype *vec, char *title) -{ - int i, penum; - - for (penum=0; penum<ctrl->npes; penum++) { - if (ctrl->mype == penum) { - if (ctrl->mype == 0) - printf("%s\n", title); - printf("\t%3d. ", ctrl->mype); - for (i=0; i<n; i++) - printf("[%d %d.%hd] ", first+i, (vec[i]>=KEEP_BIT ? 1 : 0), (vec[i]>=KEEP_BIT ? vec[i]-KEEP_BIT : vec[i])); - printf("\n"); - fflush(stdout); - } - MPI_Barrier(ctrl->comm); - } -} - - -/************************************************************************* -* This function prints a vector stored in each processor -**************************************************************************/ -void PrintPairs(CtrlType *ctrl, int n, KeyValueType *pairs, char *title) -{ - int i, penum; - - for (penum=0; penum<ctrl->npes; penum++) { - if (ctrl->mype == penum) { - if (ctrl->mype == 0) - printf("%s\n", title); - printf("\t%3d. ", ctrl->mype); - for (i=0; i<n; i++) - printf("[%d %hd,%hd] ", i, pairs[i].key, pairs[i].val); - printf("\n"); - fflush(stdout); - } - MPI_Barrier(ctrl->comm); - } -} - - - -/************************************************************************* -* This function prints the local portion of the graph stored at each -* processor -**************************************************************************/ -void PrintGraph(CtrlType *ctrl, GraphType *graph) -{ - int i, j, penum; - int firstvtx; - - MPI_Barrier(ctrl->comm); - - firstvtx = graph->vtxdist[ctrl->mype]; - - for (penum=0; penum<ctrl->npes; penum++) { - if (ctrl->mype == penum) { - printf("\t%d", penum); - for (i=0; i<graph->nvtxs; i++) { - if (i==0) - printf("\t%2d %2d\t", firstvtx+i, graph->vwgt[i]); - else - printf("\t\t%2d %2d\t", firstvtx+i, graph->vwgt[i]); - for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) - printf("[%d %d] ", graph->adjncy[j], graph->adjwgt[j]); - printf("\n"); - } - fflush(stdout); - } - MPI_Barrier(ctrl->comm); - } -} - - -/************************************************************************* -* This function prints the local portion of the graph stored at each -* processor along with degree information during refinement -**************************************************************************/ -void PrintGraph2(CtrlType *ctrl, GraphType *graph) -{ - int i, j, penum; - int firstvtx; - - MPI_Barrier(ctrl->comm); - - firstvtx = graph->vtxdist[ctrl->mype]; - - for (penum=0; penum<ctrl->npes; penum++) { - if (ctrl->mype == penum) { - printf("\t%d", penum); - for (i=0; i<graph->nvtxs; i++) { - if (i==0) - printf("\t%2d %2d [%d %d %d]\t", firstvtx+i, graph->vwgt[i], graph->where[i], graph->rinfo[i].id, graph->rinfo[i].ed); - else - printf("\t\t%2d %2d [%d %d %d]\t", firstvtx+i, graph->vwgt[i], graph->where[i], graph->rinfo[i].id, graph->rinfo[i].ed); - for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) - printf("[%d %d] ", graph->adjncy[j], graph->adjwgt[j]); - printf("\n"); - } - fflush(stdout); - } - MPI_Barrier(ctrl->comm); - } -} - - -/************************************************************************* -* This function prints the information computed during setup -**************************************************************************/ -void PrintSetUpInfo(CtrlType *ctrl, GraphType *graph) -{ - int i, j, penum; - - MPI_Barrier(ctrl->comm); - - for (penum=0; penum<ctrl->npes; penum++) { - if (ctrl->mype == penum) { - printf("PE: %d, nnbrs: %d\n", ctrl->mype, graph->nnbrs); - printf("\tSending...\n"); - for (i=0; i<graph->nnbrs; i++) { - printf("\t\tTo: %d: ", graph->peind[i]); - for (j=graph->sendptr[i]; j<graph->sendptr[i+1]; j++) - printf("%d ", graph->sendind[j]); - printf("\n"); - } - printf("\tReceiving...\n"); - for (i=0; i<graph->nnbrs; i++) { - printf("\t\tFrom: %d: ", graph->peind[i]); - for (j=graph->recvptr[i]; j<graph->recvptr[i+1]; j++) - printf("%d ", graph->recvind[j]); - printf("\n"); - } - printf("\n"); - } - MPI_Barrier(ctrl->comm); - } - -} - - -/************************************************************************* -* This function prints information about the graphs that were sent/received -**************************************************************************/ -void PrintTransferedGraphs(CtrlType *ctrl, int nnbrs, idxtype *peind, idxtype *slens, - idxtype *rlens, idxtype *sgraph, idxtype *rgraph) -{ - int i, ii, jj, ll, penum; - - MPI_Barrier(ctrl->comm); - for (penum=0; penum<ctrl->npes; penum++) { - if (ctrl->mype == penum) { - printf("PE: %d, nnbrs: %d", ctrl->mype, nnbrs); - for (ll=i=0; i<nnbrs; i++) { - if (slens[i+1]-slens[i] > 0) { - printf("\n\tTo %d\t", peind[i]); - for (ii=slens[i]; ii<slens[i+1]; ii++) { - printf("%d %d %d, ", sgraph[ll], sgraph[ll+1], sgraph[ll+2]); - for (jj=0; jj<sgraph[ll+1]; jj++) - printf("[%d %d] ", sgraph[ll+3+2*jj], sgraph[ll+3+2*jj+1]); - printf("\n\t\t"); - ll += 3+2*sgraph[ll+1]; - } - } - } - - for (ll=i=0; i<nnbrs; i++) { - if (rlens[i+1]-rlens[i] > 0) { - printf("\n\tFrom %d\t", peind[i]); - for (ii=rlens[i]; ii<rlens[i+1]; ii++) { - printf("%d %d %d, ", rgraph[ll], rgraph[ll+1], rgraph[ll+2]); - for (jj=0; jj<rgraph[ll+1]; jj++) - printf("[%d %d] ", rgraph[ll+3+2*jj], rgraph[ll+3+2*jj+1]); - printf("\n\t\t"); - ll += 3+2*rgraph[ll+1]; - } - } - } - printf("\n"); - } - MPI_Barrier(ctrl->comm); - } - -} - - -/************************************************************************* -* This function writes a graph in the format used by serial METIS -**************************************************************************/ -void WriteMetisGraph(int nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt) -{ - int i, j; - FILE *fp; - - fp = fopen("test.graph", "w"); - - fprintf(fp, "%d %d 11", nvtxs, xadj[nvtxs]/2); - for (i=0; i<nvtxs; i++) { - fprintf(fp, "\n%d ", vwgt[i]); - for (j=xadj[i]; j<xadj[i+1]; j++) - fprintf(fp, " %d %d", adjncy[j]+1, adjwgt[j]); - } - fclose(fp); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/defs.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/defs.h deleted file mode 100644 index 3d47f1d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/defs.h +++ /dev/null @@ -1,102 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * defs.h - * - * This file contains constant definitions - * - * Started 8/27/94 - * George - * - * $Id: defs.h,v 1.4 2003/07/22 20:29:05 karypis Exp $ - * - */ - - -#define GLOBAL_DBGLVL 0 -#define GLOBAL_SEED 15 - -#define MC_FLOW_BALANCE_THRESHOLD 0.2 -#define MOC_GD_GRANULARITY_FACTOR 1.0 -#define RIP_SPLIT_FACTOR 8 -#define MAX_NPARTS_MULTIPLIER 20 - -#define STATIC_PARTITION 1 -#define ADAPTIVE_PARTITION 2 -#define REFINE_PARTITION 3 -#define MESH_PARTITION 4 - -#define REDIST_WGT 2.0 -#define MAXNVWGT_FACTOR 2.0 - -#define MAXNCON 12 -#define MAXNOBJ 12 -#define N_MOC_REDO_PASSES 10 -#define N_MOC_GR_PASSES 8 -#define NREMAP_PASSES 8 -#define N_MOC_GD_PASSES 6 -#define N_MOC_BAL_PASSES 4 -#define NMATCH_PASSES 4 - -#define COUPLED 1 -#define DISCOUPLED 2 - -#define MAX_NCON_FOR_DIFFUSION 2 -#define SMALLGRAPH 10000 - -#define LTERM (void **) 0 /* List terminator for GKfree() */ - -#define NGD_PASSES 20 - -#define OPTION_IPART 1 -#define OPTION_FOLDF 2 -#define OPTION_DBGLVL 3 - -#define PMV3_OPTION_DBGLVL 1 -#define PMV3_OPTION_SEED 2 -#define PMV3_OPTION_IPART 3 -#define PMV3_OPTION_PSR 3 - -#define XYZ_XCOORD 1 -#define XYZ_SPFILL 2 - -/* Type of initial vertex separator algorithms */ -#define ISEP_EDGE 1 -#define ISEP_NODE 2 - -#define UNMATCHED -1 -#define MAYBE_MATCHED -2 -#define TOO_HEAVY -3 - - -#define HTABLE_EMPTY -1 - -#define NGR_PASSES 4 /* Number of greedy refinement passes */ -#define NIPARTS 8 /* Number of random initial partitions */ -#define NLGR_PASSES 5 /* Number of GR refinement during IPartition */ - -#define SMALLFLOAT 0.00001 -/* #define KEEP_BIT (idxtype)536870912 */ /* 1<<29 */ -#define KEEP_BIT ((idxtype)(1<<((sizeof(idxtype)*8)-2))) - -#define MAX_PES 8192 -#define MAX_NPARTS 67108864 - -#define COARSEN_FRACTION 0.75 /* Node reduction between succesive coarsening levels */ -#define COARSEN_FRACTION2 0.55 /* Node reduction between succesive coarsening levels */ -#define UNBALANCE_FRACTION 1.05 -#define ORDER_UNBALANCE_FRACTION 1.05 - -#define MAXVWGT_FACTOR 1.4 - -#define MATCH_LOCAL 1 -#define MATCH_GLOBAL 2 - -/* Debug Levels */ -#define DBG_TIME 1 /* Perform timing analysis */ -#define DBG_INFO 2 /* Perform timing analysis */ -#define DBG_PROGRESS 4 /* Show the coarsening progress */ -#define DBG_REFINEINFO 8 /* Show info on communication during folding */ -#define DBG_MATCHINFO 16 /* Show info on matching */ -#define DBG_RMOVEINFO 32 /* Show info on communication during folding */ -#define DBG_REMAP 64 /* Determines if remapping will take place */ diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/diffutil.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/diffutil.c deleted file mode 100644 index f31da64..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/diffutil.c +++ /dev/null @@ -1,298 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * wavefrontK.c - * - * This file contains code for the initial directed diffusion at the coarsest - * graph - * - * Started 5/19/97, Kirk, George - * - * $Id: diffutil.c,v 1.2 2003/07/21 17:18:48 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function computes the load for each subdomain -**************************************************************************/ -void SetUpConnectGraph(GraphType *graph, MatrixType *matrix, idxtype *workspace) -{ - int i, ii, j, jj, k, l; - int nvtxs, nrows; - idxtype *xadj, *adjncy, *where; - idxtype *rowptr, *colind; - idxtype *pcounts, *perm, *marker; - float *values; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - where = graph->where; - - nrows = matrix->nrows; - rowptr = matrix->rowptr; - colind = matrix->colind; - values = matrix->values; - - perm = workspace; - marker = idxset(nrows, -1, workspace+nvtxs); - pcounts = idxset(nrows+1, 0, workspace+nvtxs+nrows); - - for (i=0; i<nvtxs; i++) - pcounts[where[i]]++; - MAKECSR(i, nrows, pcounts); - - for (i=0; i<nvtxs; i++) - perm[pcounts[where[i]]++] = i; - - for (i=nrows; i>0; i--) - pcounts[i] = pcounts[i-1]; - pcounts[0] = 0; - - /************************/ - /* Construct the matrix */ - /************************/ - rowptr[0] = k = 0; - for (ii=0; ii<nrows; ii++) { - colind[k++] = ii; - marker[ii] = ii; - - for (jj=pcounts[ii]; jj<pcounts[ii+1]; jj++) { - i = perm[jj]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - l = where[adjncy[j]]; - if (marker[l] != ii) { - colind[k] = l; - values[k++] = -1.0; - marker[l] = ii; - } - } - } - values[rowptr[ii]] = (float)(k-rowptr[ii]-1); - rowptr[ii+1] = k; - } - matrix->nnzs = rowptr[nrows]; - - return; -} - - -/************************************************************************* -* This function computes movement statistics for adaptive refinement -* schemes -**************************************************************************/ -void Mc_ComputeMoveStatistics(CtrlType *ctrl, GraphType *graph, int *nmoved, int *maxin, int *maxout) -{ - int i, nvtxs, nparts, myhome; - idxtype *vwgt, *where; - idxtype *lend, *gend, *lleft, *gleft, *lstart, *gstart; - - nvtxs = graph->nvtxs; - vwgt = graph->vwgt; - where = graph->where; - nparts = ctrl->nparts; - - lstart = idxsmalloc(nparts, 0, "ComputeMoveStatistics: lstart"); - gstart = idxsmalloc(nparts, 0, "ComputeMoveStatistics: gstart"); - lleft = idxsmalloc(nparts, 0, "ComputeMoveStatistics: lleft"); - gleft = idxsmalloc(nparts, 0, "ComputeMoveStatistics: gleft"); - lend = idxsmalloc(nparts, 0, "ComputeMoveStatistics: lend"); - gend = idxsmalloc(nparts, 0, "ComputeMoveStatistics: gend"); - - for (i=0; i<nvtxs; i++) { - myhome = (ctrl->ps_relation == COUPLED) ? ctrl->mype : graph->home[i]; - lstart[myhome] += (graph->vsize == NULL) ? 1 : graph->vsize[i]; - lend[where[i]] += (graph->vsize == NULL) ? 1 : graph->vsize[i]; - if (where[i] != myhome) - lleft[myhome] += (graph->vsize == NULL) ? 1 : graph->vsize[i]; - } - - /* PrintVector(ctrl, ctrl->npes, 0, lend, "Lend: "); */ - - MPI_Allreduce((void *)lstart, (void *)gstart, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - MPI_Allreduce((void *)lleft, (void *)gleft, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - MPI_Allreduce((void *)lend, (void *)gend, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - - *nmoved = idxsum(nparts, gleft); - *maxout = gleft[idxamax(nparts, gleft)]; - for (i=0; i<nparts; i++) - lstart[i] = gend[i]+gleft[i]-gstart[i]; - *maxin = lstart[idxamax(nparts, lstart)]; - - GKfree((void **)&lstart, (void **)&gstart, (void **)&lleft, (void **)&gleft, (void **)&lend, (void **)&gend, LTERM); -} - -/************************************************************************* -* This function computes the TotalV of a serial graph. -**************************************************************************/ -int Mc_ComputeSerialTotalV(GraphType *graph, idxtype *home) -{ - int i; - int totalv = 0; - - for (i=0; i<graph->nvtxs; i++) { - if (graph->where[i] != home[i]) - totalv += (graph->vsize == NULL) ? graph->vwgt[i*graph->ncon] : graph->vsize[i]; - } - - return totalv; -} - - - -/************************************************************************* -* This function computes the load for each subdomain -**************************************************************************/ -void ComputeLoad(GraphType *graph, int nparts, float *load, float *tpwgts, int index) -{ - int i; - int nvtxs, ncon; - idxtype *where; - float *nvwgt; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - where = graph->where; - nvwgt = graph->nvwgt; - - sset(nparts, 0.0, load); - - for (i=0; i<nvtxs; i++) - load[where[i]] += nvwgt[i*ncon+index]; - - ASSERTS(fabs(ssum(nparts, load)-1.0) < 0.001); - - for (i=0; i<nparts; i++) { - load[i] -= tpwgts[i*ncon+index]; - } - - return; -} - - -/************************************************************************* -* This function implements the CG solver used during the directed diffusion -**************************************************************************/ -void ConjGrad2(MatrixType *A, float *b, float *x, float tol, float *workspace) -{ - int i, k, n; - float *p, *r, *q, *z, *M; - float alpha, beta, rho, rho_1 = -1.0, error, bnrm2, tmp; - idxtype *rowptr, *colind; - float *values; - - n = A->nrows; - rowptr = A->rowptr; - colind = A->colind; - values = A->values; - - /* Initial Setup */ - p = workspace; - r = workspace + n; - q = workspace + 2*n; - z = workspace + 3*n; - M = workspace + 4*n; - - for (i=0; i<n; i++) { - x[i] = 0.0; - if (values[rowptr[i]] != 0.0) - M[i] = 1.0/values[rowptr[i]]; - else - M[i] = 0.0; - } - - /* r = b - Ax */ - mvMult2(A, x, r); - for (i=0; i<n; i++) - r[i] = b[i]-r[i]; - - bnrm2 = snorm2(n, b); - if (bnrm2 > 0.0) { - error = snorm2(n, r) / bnrm2; - - if (error > tol) { - /* Begin Iterations */ - for (k=0; k<n; k++) { - for (i=0; i<n; i++) - z[i] = r[i]*M[i]; - - rho = sdot(n, r, z); - - if (k == 0) - scopy(n, z, p); - else { - if (rho_1 != 0.0) - beta = rho/rho_1; - else - beta = 0.0; - for (i=0; i<n; i++) - p[i] = z[i] + beta*p[i]; - } - - mvMult2(A, p, q); /* q = A*p */ - - tmp = sdot(n, p, q); - if (tmp != 0.0) - alpha = rho/tmp; - else - alpha = 0.0; - saxpy(n, alpha, p, x); /* x = x + alpha*p */ - saxpy(n, -alpha, q, r); /* r = r - alpha*q */ - error = snorm2(n, r) / bnrm2; - if (error < tol) - break; - - rho_1 = rho; - } - } - } -} - - -/************************************************************************* -* This function performs Matrix-Vector multiplication -**************************************************************************/ -void mvMult2(MatrixType *A, float *v, float *w) -{ - int i, j; - - for (i = 0; i < A->nrows; i++) - w[i] = 0.0; - - for (i = 0; i < A->nrows; i++) - for (j = A->rowptr[i]; j < A->rowptr[i+1]; j++) - w[i] += A->values[j] * v[A->colind[j]]; - - return; - } - - -/************************************************************************* -* This function sets up the transfer vectors -**************************************************************************/ -void ComputeTransferVector(int ncon, MatrixType *matrix, float *solution, - float *transfer, int index) -{ - int j, k; - int nrows; - idxtype *rowptr, *colind; - - nrows = matrix->nrows; - rowptr = matrix->rowptr; - colind = matrix->colind; - - for (j=0; j<nrows; j++) { - for (k=rowptr[j]+1; k<rowptr[j+1]; k++) { - if (solution[j] > solution[colind[k]]) { - transfer[k*ncon+index] = solution[j] - solution[colind[k]]; - } - else { - transfer[k*ncon+index] = 0.0; - } - } - } -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/fpqueue.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/fpqueue.c deleted file mode 100644 index 11c617f..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/fpqueue.c +++ /dev/null @@ -1,440 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * fpqueue.c - * - * This file contains functions for manipulating the bucket list - * representation of the gains associated with each vertex in a graph. - * These functions are used by the refinement algorithms - * - * Started 9/2/94 - * George - * - * $Id: fpqueue.c,v 1.2 2003/07/21 17:18:48 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function initializes the data structures of the priority queue -**************************************************************************/ -void FPQueueInit(FPQueueType *queue, int maxnodes) -{ - queue->nnodes = 0; - queue->maxnodes = maxnodes; - queue->heap = NULL; - queue->locator = NULL; - - queue->heap = (FKeyValueType *) malloc(sizeof(FKeyValueType)*maxnodes); - queue->locator = (idxtype *) malloc(sizeof(idxtype)*maxnodes); - - idxset(maxnodes, -1, queue->locator); - -} - - -/************************************************************************* -* This function resets the buckets -**************************************************************************/ -void FPQueueReset(FPQueueType *queue) -{ - queue->nnodes = 0; - - idxset(queue->maxnodes, -1, queue->locator); - -} - - -/************************************************************************* -* This function frees the buckets -**************************************************************************/ -void FPQueueFree(FPQueueType *queue) -{ - - free(queue->heap); - free(queue->locator); - - queue->maxnodes = 0; -} - - -/************************************************************************* -* This function returns the number of nodes in the queue -**************************************************************************/ -int FPQueueGetSize(FPQueueType *queue) -{ - return queue->nnodes; -} - - -/************************************************************************* -* This function adds a node of certain gain into a partition -**************************************************************************/ -int FPQueueInsert(FPQueueType *queue, int node, float gain) -{ - int i, j; - idxtype *locator; - FKeyValueType *heap; - - ASSERTS(CheckHeapFloat(queue)); - - heap = queue->heap; - locator = queue->locator; - - ASSERTS(locator[node] == -1); - - i = queue->nnodes++; - while (i > 0) { - j = (i-1)/2; - if (heap[j].key < gain) { - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - ASSERTS(i >= 0); - heap[i].key = gain; - heap[i].val = node; - locator[node] = i; - - ASSERTS(CheckHeapFloat(queue)); - - return 0; -} - - -/************************************************************************* -* This function deletes a node from a partition and reinserts it with -* an updated gain -**************************************************************************/ -int FPQueueDelete(FPQueueType *queue, int node) -{ - int i, j; - float newgain, oldgain; - idxtype *locator; - FKeyValueType *heap; - - heap = queue->heap; - locator = queue->locator; - - ASSERTS(locator[node] != -1); - ASSERTS(heap[locator[node]].val == node); - - ASSERTS(CheckHeapFloat(queue)); - - i = locator[node]; - locator[node] = -1; - - if (--queue->nnodes > 0 && heap[queue->nnodes].val != node) { - node = heap[queue->nnodes].val; - newgain = heap[queue->nnodes].key; - oldgain = heap[i].key; - - if (oldgain < newgain) { - /* Filter-up */ - while (i > 0) { - j = (i-1)>>1; - if (heap[j].key < newgain) { - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - } - else { - /* Filter down */ - while ((j=2*i+1) < queue->nnodes) { - if (heap[j].key > newgain) { - if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key) - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else if (j+1 < queue->nnodes && heap[j+1].key > newgain) { - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - } - - heap[i].key = newgain; - heap[i].val = node; - locator[node] = i; - } - - ASSERTS(CheckHeapFloat(queue)); - - return 0; -} - - - -/************************************************************************* -* This function deletes a node from a partition and reinserts it with -* an updated gain -**************************************************************************/ -int FPQueueUpdate(FPQueueType *queue, int node, float oldgain, float newgain) -{ - int i, j; - idxtype *locator; - FKeyValueType *heap; - - if (oldgain == newgain) - return 0; - - heap = queue->heap; - locator = queue->locator; - - ASSERTS(locator[node] != -1); - ASSERTS(heap[locator[node]].val == node); - ASSERTS(fabs(heap[locator[node]].key - oldgain) < SMALLFLOAT); - ASSERTS(CheckHeapFloat(queue)); - - i = locator[node]; - - if (oldgain < newgain) { - /* Filter-up */ - while (i > 0) { - j = (i-1)>>1; - if (heap[j].key < newgain) { - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - } - else { - /* Filter down */ - while ((j=2*i+1) < queue->nnodes) { - if (heap[j].key > newgain) { - if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key) - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else if (j+1 < queue->nnodes && heap[j+1].key > newgain) { - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - } - - heap[i].key = newgain; - heap[i].val = node; - locator[node] = i; - - ASSERTS(CheckHeapFloat(queue)); - - return 0; -} - - - -/************************************************************************* -* This function deletes a node from a partition and reinserts it with -* an updated gain -**************************************************************************/ -void FPQueueUpdateUp(FPQueueType *queue, int node, float oldgain, float newgain) -{ - int i, j; - idxtype *locator; - FKeyValueType *heap; - - if (oldgain == newgain) - return; - - heap = queue->heap; - locator = queue->locator; - - ASSERTS(locator[node] != -1); - ASSERTS(heap[locator[node]].val == node); - ASSERTS(heap[locator[node]].key == oldgain); - ASSERTS(CheckHeapFloat(queue)); - - - /* Here we are just filtering up since the newgain is greater than the oldgain */ - i = locator[node]; - while (i > 0) { - j = (i-1)>>1; - if (heap[j].key < newgain) { - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - - heap[i].key = newgain; - heap[i].val = node; - locator[node] = i; - - ASSERTS(CheckHeapFloat(queue)); - -} - - -/************************************************************************* -* This function returns the vertex with the largest gain from a partition -* and removes the node from the bucket list -**************************************************************************/ -int FPQueueGetMax(FPQueueType *queue) -{ - int vtx, i, j, node; - float gain; - idxtype *locator; - FKeyValueType *heap; - - if (queue->nnodes == 0) - return -1; - - queue->nnodes--; - - heap = queue->heap; - locator = queue->locator; - - vtx = heap[0].val; - locator[vtx] = -1; - - if ((i = queue->nnodes) > 0) { - gain = heap[i].key; - node = heap[i].val; - i = 0; - while ((j=2*i+1) < queue->nnodes) { - if (heap[j].key > gain) { - if (j+1 < queue->nnodes && heap[j+1].key > heap[j].key) - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else if (j+1 < queue->nnodes && heap[j+1].key > gain) { - j = j+1; - heap[i] = heap[j]; - locator[heap[i].val] = i; - i = j; - } - else - break; - } - - heap[i].key = gain; - heap[i].val = node; - locator[node] = i; - } - - ASSERTS(CheckHeapFloat(queue)); - return vtx; -} - - -/************************************************************************* -* This function returns the vertex with the largest gain from a partition -**************************************************************************/ -int FPQueueSeeMaxVtx(FPQueueType *queue) -{ - int vtx; - - if (queue->nnodes == 0) - return -1; - - vtx = queue->heap[0].val; - - return vtx; -} - - -/************************************************************************* -* This function returns the vertex with the largest gain from a partition -**************************************************************************/ -float FPQueueSeeMaxGain(FPQueueType *queue) -{ - float gain; - - if (queue->nnodes == 0) - return 0.0; - - gain = queue->heap[0].key; - - return gain; -} - - -/************************************************************************* -* This function returns the vertex with the largest gain from a partition -**************************************************************************/ -float FPQueueGetKey(FPQueueType *queue) -{ - int key; - - if (queue->nnodes == 0) - return -1; - - key = queue->heap[0].key; - - return key; -} - -/************************************************************************* -* This function returns the number of nodes in the queue -**************************************************************************/ -int FPQueueGetQSize(FPQueueType *queue) -{ - return queue->nnodes; -} - - - - - - -/************************************************************************* -* This functions checks the consistency of the heap -**************************************************************************/ -int CheckHeapFloat(FPQueueType *queue) -{ - int i, j, nnodes; - idxtype *locator; - FKeyValueType *heap; - - heap = queue->heap; - locator = queue->locator; - nnodes = queue->nnodes; - - if (nnodes == 0) - return 1; - - ASSERTS(locator[heap[0].val] == 0); - for (i=1; i<nnodes; i++) { - ASSERTS(locator[heap[i].val] == i); - ASSERTS(heap[i].key <= heap[(i-1)/2].key); - } - for (i=1; i<nnodes; i++) - ASSERTS(heap[i].key <= heap[0].key); - - for (j=i=0; i<queue->maxnodes; i++) { - if (locator[i] != -1) - j++; - } - ASSERTS(j == nnodes); - - return 1; -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/frename.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/frename.c deleted file mode 100644 index 551dd59..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/frename.c +++ /dev/null @@ -1,322 +0,0 @@ -/* - * frename.c - * - * This file contains some renaming routines to deal with different - * Fortran compilers. - * - * Started 6/1/98 - * George - * - * $Id: frename.c,v 1.4 2003/07/30 18:37:58 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - -/************************************************************************* -* Renaming macro (at least to save some typing :)) -**************************************************************************/ -#define FRENAME(name0, name1, name2, name3, name4, dargs, cargs) \ - void name1 dargs { name0 cargs; } \ - void name2 dargs { name0 cargs; } \ - void name3 dargs { name0 cargs; } \ - void name4 dargs { name0 cargs; } - - - - - - - - -/************************************************************************* -* Renames for Release 3.0 API -**************************************************************************/ -FRENAME(ParMETIS_V3_AdaptiveRepart, - PARMETIS_V3_ADAPTIVEREPART, - parmetis_v3_adaptiverepart, - parmetis_v3_adaptiverepart_, - parmetis_v3_adaptiverepart__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *vsize, idxtype *adjwgt, int *wgtflag, int *numflag, int *ncon, - int *nparts, float *tpwgts, float *ubvec, float *ipc2redist, - int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, vsize, adjwgt, wgtflag, numflag, ncon, - nparts, tpwgts, ubvec, ipc2redist, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_V3_PartGeomKway, - PARMETIS_V3_PARTGEOMKWAY, - parmetis_v3_partgeomkway, - parmetis_v3_partgeomkway_, - parmetis_v3_partgeomkway__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *ndims, float *xyz, - int *ncon, int *nparts, float *tpwgts, float *ubvec, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, ndims, xyz, - ncon, nparts, tpwgts, ubvec, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_V3_PartGeom, - PARMETIS_V3_PARTGEOM, - parmetis_v3_partgeom, - parmetis_v3_partgeom_, - parmetis_v3_partgeom__, - (idxtype *vtxdist, int *ndims, float *xyz, idxtype *part, MPI_Comm *comm), - (vtxdist, ndims, xyz, part, comm) -) - -FRENAME(ParMETIS_V3_PartKway, - PARMETIS_V3_PARTKWAY, - parmetis_v3_partkway, - parmetis_v3_partkway_, - parmetis_v3_partkway__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *ncon, int *nparts, float *tpwgts, float *ubvec, - int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, ncon, nparts, tpwgts, - ubvec, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_V3_Mesh2Dual, - PARMETIS_V3_MESH2DUAL, - parmetis_v3_mesh2dual, - parmetis_v3_mesh2dual_, - parmetis_v3_mesh2dual__, - (idxtype *elmdist, idxtype *eptr, idxtype *eind, int *numflag, int *ncommonnodes, - idxtype **xadj, idxtype **adjncy, MPI_Comm *comm), - (elmdist, eptr, eind, numflag, ncommonnodes, xadj, adjncy, comm) -) - -FRENAME(ParMETIS_V3_PartMeshKway, - PARMETIS_V3_PARTMESHKWAY, - parmetis_v3_partmeshkway, - parmetis_v3_partmeshkway_, - parmetis_v3_partmeshkway__, - (idxtype *elmdist, idxtype *eptr, idxtype *eind, idxtype *elmwgt, int *wgtflag, - int *numflag, int *ncon, int *ncommonnodes, int *nparts, float *tpwgts, - float *ubvec, int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (elmdist, eptr, eind, elmwgt, wgtflag, numflag, ncon, ncommonnodes, nparts, tpwgts, - ubvec, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_V3_NodeND, - PARMETIS_V3_NODEND, - parmetis_v3_nodend, - parmetis_v3_nodend_, - parmetis_v3_nodend__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, - idxtype *order, idxtype *sizes, MPI_Comm *comm), - (vtxdist, xadj, adjncy, numflag, options, order, sizes, comm) -) - -FRENAME(ParMETIS_V3_RefineKway, - PARMETIS_V3_REFINEKWAY, - parmetis_v3_refinekway, - parmetis_v3_refinekway_, - parmetis_v3_refinekway__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *ncon, int *nparts, float *tpwgts, float *ubvec, - int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, ncon, nparts, tpwgts, - ubvec, options, edgecut, part, comm) -) - - -/************************************************************************* -* Renames for Release 2.0 API -**************************************************************************/ -FRENAME(ParMETIS_PartKway, - PARMETIS_PARTKWAY, - parmetis_partkway, - parmetis_partkway_, - parmetis_partkway__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *nparts, int *options, int *edgecut, idxtype *part, - MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, nparts, options, edgecut, - part, comm) -) - -FRENAME(ParMETIS_PartGeomKway, - PARMETIS_PARTGEOMKWAY, - parmetis_partgeomkway, - parmetis_partgeomkway_, - parmetis_partgeomkway__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *ndims, float *xyz, int *nparts, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, ndims, xyz, nparts, options, - edgecut, part, comm) -) - -FRENAME(ParMETIS_PartGeom, - PARMETIS_PARTGEOM, - parmetis_partgeom, - parmetis_partgeom_, - parmetis_partgeom__, - (idxtype *vtxdist, int *ndims, float *xyz, idxtype *part, MPI_Comm *comm), - (vtxdist, ndims, xyz, part, comm) -) - -FRENAME(ParMETIS_PartGeomRefine, - PARMETIS_PARTGEOMREFINE, - parmetis_partgeomrefine, - parmetis_partgeomrefine_, - parmetis_partgeomrefine__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *ndims, float *xyz, int *options, int *edgecut, - idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, ndims, xyz, options, - edgecut, part, comm) -) - -FRENAME(ParMETIS_RefineKway, - PARMETIS_REFINEKWAY, - parmetis_refinekway, - parmetis_refinekway_, - parmetis_refinekway__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_RepartLDiffusion, - PARMETIS_REPARTLDIFUSSION, - parmetis_repartldiffusion, - parmetis_repartldiffusion_, - parmetis_repartldiffusion__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_RepartGDiffusion, - PARMETIS_REPARTGDIFFUSION, - parmetis_repartgdiffusion, - parmetis_repartgdiffusion_, - parmetis_repartgdiffusion__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_RepartRemap, - PARMETIS_REPARTREMAP, - parmetis_repartremap, - parmetis_repartremap_, - parmetis_repartremap__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_RepartMLRemap, - PARMETIS_REPARTMLREMAP, - parmetis_repartmlremap, - parmetis_repartmlremap_, - parmetis_repartmlremap__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *options, int *edgecut, idxtype *part, MPI_Comm *comm), - (vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag, numflag, options, edgecut, part, comm) -) - -FRENAME(ParMETIS_NodeND, - PARMETIS_NODEND, - parmetis_nodend, - parmetis_nodend_, - parmetis_nodend__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, - idxtype *order, idxtype *sizes, MPI_Comm *comm), - (vtxdist, xadj, adjncy, numflag, options, order, sizes, comm) -) - -FRENAME(ParMETIS_SerialNodeND, - PARMETIS_SERIALNODEND, - parmetis_serialnodend, - parmetis_serialnodend_, - parmetis_serialnodend__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, - idxtype *order, idxtype *sizes, MPI_Comm *comm), - (vtxdist, xadj, adjncy, numflag, options, order, sizes, comm) -) - - - - -/************************************************************************* -* Renames for Release 1.0 API -**************************************************************************/ -FRENAME(PARKMETIS, - PARKMETIS_, - parkmetis, - parkmetis_, - parkmetis__, - (idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm), - (vtxdist, xadj, vwgt, adjncy, adjwgt, part, options, comm) -) - -FRENAME(PARGKMETIS, - PARGKMETIS_, - pargkmetis, - pargkmetis_, - pargkmetis__, - (idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - int ndims, float *xyz, idxtype *part, int *options, MPI_Comm comm), - (vtxdist, xadj, vwgt, adjncy, adjwgt, ndims, xyz, part, options, comm) -) - -FRENAME(PARGRMETIS, - PARGRMETIS_, - pargrmetis, - pargrmetis_, - pargrmetis__, - (idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - int ndims, float *xyz, idxtype *part, int *options, MPI_Comm comm), - (vtxdist, xadj, vwgt, adjncy, adjwgt, ndims, xyz, part, options, comm) -) - -FRENAME(PARGMETIS, - PARGMETIS_, - pargmetis, - pargmetis_, - pargmetis__, - (idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int ndims, float *xyz, - idxtype *part, int *options, MPI_Comm comm), - (vtxdist, xadj, adjncy, ndims, xyz, part, options, comm) -) - -FRENAME(PARRMETIS, - PARRMETIS_, - parrmetis, - parrmetis_, - parrmetis__, - (idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm), - (vtxdist, xadj, vwgt, adjncy, adjwgt, part, options, comm) -) - -FRENAME(PARUAMETIS, - PARUAMETIS_, - paruametis, - paruametis_, - paruametis__, - (idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm), - (vtxdist, xadj, vwgt, adjncy, adjwgt, part, options, comm) -) - -FRENAME(PARDAMETIS, - PARDAMETIS_, - pardametis, - pardametis_, - pardametis__, - (idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm), - (vtxdist, xadj, vwgt, adjncy, adjwgt, part, options, comm) -) - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/gkmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/gkmetis.c deleted file mode 100644 index 8eb2382..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/gkmetis.c +++ /dev/null @@ -1,331 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * gkmetis.c - * - * This is the entry point of parallel geometry based partitioning - * routines - * - * Started 10/19/96 - * George - * - * $Id: gkmetis.c,v 1.8 2003/07/31 16:23:30 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - - -/*********************************************************************************** -* This function is the entry point of the parallel kmetis algorithm that uses -* coordinates to compute an initial graph distribution. -************************************************************************************/ -void ParMETIS_V3_PartGeomKway(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *ndims, - float *xyz, int *ncon, int *nparts, float *tpwgts, float *ubvec, - int *options, int *edgecut, idxtype *part, MPI_Comm *comm) -{ - int h, i, j; - int nvtxs = -1, npes, mype; - int uwgtflag, cut, gcut, maxnvtxs; - int ltvwgts[MAXNCON]; - int moptions[10]; - CtrlType ctrl; - idxtype *uvwgt; - WorkSpaceType wspace; - GraphType *graph, *mgraph; - float avg, maximb, balance, *mytpwgts; - int seed, dbglvl = 0; - int iwgtflag, inumflag, incon, inparts, ioptions[10]; - float *itpwgts, iubvec[MAXNCON]; - - MPI_Comm_size(*comm, &npes); - MPI_Comm_rank(*comm, &mype); - - /********************************/ - /* Try and take care bad inputs */ - /********************************/ - if (options != NULL && options[0] == 1) - dbglvl = options[PMV3_OPTION_DBGLVL]; - - CheckInputs(STATIC_PARTITION, npes, dbglvl, wgtflag, &iwgtflag, numflag, &inumflag, - ncon, &incon, nparts, &inparts, tpwgts, &itpwgts, ubvec, iubvec, - NULL, NULL, options, ioptions, part, comm); - - - /*********************************/ - /* Take care the nparts = 1 case */ - /*********************************/ - if (inparts <= 1) { - idxset(vtxdist[mype+1]-vtxdist[mype], 0, part); - *edgecut = 0; - return; - } - - /******************************/ - /* Take care of npes = 1 case */ - /******************************/ - if (npes == 1 && inparts > 1) { - moptions[0] = 0; - nvtxs = vtxdist[1]; - - if (incon == 1) { - METIS_WPartGraphKway(&nvtxs, xadj, adjncy, vwgt, adjwgt, &iwgtflag, &inumflag, - &inparts, itpwgts, moptions, edgecut, part); - } - else { - /* ADD: this is because METIS does not support tpwgts for all constraints */ - mytpwgts = fmalloc(inparts, "mytpwgts"); - for (i=0; i<inparts; i++) - mytpwgts[i] = itpwgts[i*incon]; - - moptions[7] = -1; - METIS_mCPartGraphRecursive2(&nvtxs, &incon, xadj, adjncy, vwgt, adjwgt, &iwgtflag, - &inumflag, &inparts, mytpwgts, moptions, edgecut, part); - - free(mytpwgts); - } - - return; - } - - - if (inumflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 1); - - /*****************************/ - /* Set up control structures */ - /*****************************/ - if (ioptions[0] == 1) { - dbglvl = ioptions[PMV3_OPTION_DBGLVL]; - seed = ioptions[PMV3_OPTION_SEED]; - } - else { - dbglvl = GLOBAL_DBGLVL; - seed = GLOBAL_SEED; - } - SetUpCtrl(&ctrl, npes, dbglvl, *comm); - ctrl.CoarsenTo = amin(vtxdist[npes]+1, 25*incon*amax(npes, inparts)); - ctrl.seed = (seed == 0) ? mype : seed*mype; - ctrl.sync = GlobalSEMax(&ctrl, seed); - ctrl.partType = STATIC_PARTITION; - ctrl.ps_relation = -1; - ctrl.tpwgts = itpwgts; - scopy(incon, iubvec, ctrl.ubvec); - - uwgtflag = iwgtflag|2; - uvwgt = idxsmalloc(vtxdist[mype+1]-vtxdist[mype], 1, "uvwgt"); - graph = Moc_SetUpGraph(&ctrl, 1, vtxdist, xadj, uvwgt, adjncy, adjwgt, &uwgtflag); - free(graph->nvwgt); graph->nvwgt = NULL; - - PreAllocateMemory(&ctrl, graph, &wspace); - - /*================================================================= - * Compute the initial npes-way partitioning geometric partitioning - =================================================================*/ - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - Coordinate_Partition(&ctrl, graph, *ndims, xyz, 1, &wspace); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - - /*================================================================= - * Move the graph according to the partitioning - =================================================================*/ - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.MoveTmr)); - - free(uvwgt); - graph->vwgt = ((iwgtflag&2) != 0) ? vwgt : idxsmalloc(graph->nvtxs*incon, 1, "vwgt"); - graph->ncon = incon; - j = ctrl.nparts; - ctrl.nparts = ctrl.npes; - mgraph = Moc_MoveGraph(&ctrl, graph, &wspace); - ctrl.nparts = j; - - /**********************************************************/ - /* Do the same functionality as Moc_SetUpGraph for mgraph */ - /**********************************************************/ - /* compute tvwgts */ - for (j=0; j<incon; j++) - ltvwgts[j] = 0; - - for (i=0; i<graph->nvtxs; i++) - for (j=0; j<incon; j++) - ltvwgts[j] += mgraph->vwgt[i*incon+j]; - - for (j=0; j<incon; j++) - ctrl.tvwgts[j] = GlobalSESum(&ctrl, ltvwgts[j]); - - /* check for zero wgt constraints */ - for (i=0; i<incon; i++) { - /* ADD: take care of the case in which tvwgts is zero */ - if (ctrl.tvwgts[i] == 0) { - if (ctrl.mype == 0) printf("ERROR: sum weight for constraint %d is zero\n", i); - MPI_Finalize(); - exit(-1); - } - } - - /* compute nvwgt */ - mgraph->nvwgt = fmalloc(mgraph->nvtxs*incon, "mgraph->nvwgt"); - for (i=0; i<mgraph->nvtxs; i++) - for (j=0; j<incon; j++) - mgraph->nvwgt[i*incon+j] = (float)(mgraph->vwgt[i*incon+j]) / (float)(ctrl.tvwgts[j]); - - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.MoveTmr)); - - if (ctrl.dbglvl&DBG_INFO) { - cut = 0; - for (i=0; i<graph->nvtxs; i++) - for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) - if (graph->where[i] != graph->where[graph->adjncy[j]]) - cut += graph->adjwgt[j]; - gcut = GlobalSESum(&ctrl, cut)/2; - maxnvtxs = GlobalSEMax(&ctrl, mgraph->nvtxs); - balance = (float)(maxnvtxs)/((float)(graph->gnvtxs)/(float)(npes)); - rprintf(&ctrl, "XYZ Cut: %6d \tBalance: %6.3f [%d %d %d]\n", - gcut, balance, maxnvtxs, graph->gnvtxs, npes); - - } - - /*================================================================= - * Set up the newly moved graph - =================================================================*/ - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - ctrl.nparts = inparts; - FreeWSpace(&wspace); - PreAllocateMemory(&ctrl, mgraph, &wspace); - - /*======================================================= - * Now compute the partition of the moved graph - =======================================================*/ - if (vtxdist[npes] < SMALLGRAPH || vtxdist[npes] < npes*20 || GlobalSESum(&ctrl, mgraph->nedges) == 0) { - IFSET(ctrl.dbglvl, DBG_INFO, rprintf(&ctrl, "Partitioning a graph of size %d serially\n", vtxdist[npes])); - PartitionSmallGraph(&ctrl, mgraph, &wspace); - } - else { - Moc_Global_Partition(&ctrl, mgraph, &wspace); - } - ParallelReMapGraph(&ctrl, mgraph, &wspace); - - /* Invert the ordering back to the original graph */ - ctrl.nparts = npes; - ProjectInfoBack(&ctrl, graph, part, mgraph->where, &wspace); - - *edgecut = mgraph->mincut; - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - - /*******************/ - /* Print out stats */ - /*******************/ - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - - if (ctrl.dbglvl&DBG_INFO) { - rprintf(&ctrl, "Final %d-way CUT: %6d \tBalance: ", inparts, mgraph->mincut); - avg = 0.0; - for (h=0; h<incon; h++) { - maximb = 0.0; - for (i=0; i<inparts; i++) - maximb = amax(maximb, mgraph->gnpwgts[i*incon+h]/itpwgts[i*incon+h]); - avg += maximb; - rprintf(&ctrl, "%.3f ", maximb); - } - rprintf(&ctrl, " avg: %.3f\n", avg/(float)incon); - } - - GKfree((void **)&itpwgts, LTERM); - FreeGraph(mgraph); - FreeInitialGraphAndRemap(graph, iwgtflag); - FreeWSpace(&wspace); - FreeCtrl(&ctrl); - - if (inumflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 0); - -} - - - -/*********************************************************************************** -* This function is the entry point of the parallel ordering algorithm. -* This function assumes that the graph is already nice partitioned among the -* processors and then proceeds to perform recursive bisection. -************************************************************************************/ -void ParMETIS_V3_PartGeom(idxtype *vtxdist, int *ndims, float *xyz, idxtype *part, MPI_Comm *comm) -{ - int i, npes, mype, nvtxs, firstvtx, dbglvl; - idxtype *xadj, *adjncy; - CtrlType ctrl; - WorkSpaceType wspace; - GraphType *graph; - int zeroflg = 0; - - MPI_Comm_size(*comm, &npes); - MPI_Comm_rank(*comm, &mype); - - if (npes == 1) { - idxset(vtxdist[mype+1]-vtxdist[mype], 0, part); - return; - } - - /* Setup a fake graph to allow the rest of the code to work unchanged */ - dbglvl = 0; - - nvtxs = vtxdist[mype+1]-vtxdist[mype]; - firstvtx = vtxdist[mype]; - xadj = idxmalloc(nvtxs+1, "ParMETIS_PartGeom: xadj"); - adjncy = idxmalloc(nvtxs, "ParMETIS_PartGeom: adjncy"); - for (i=0; i<nvtxs; i++) { - xadj[i] = i; - adjncy[i] = firstvtx + (i+1)%nvtxs; - } - xadj[nvtxs] = nvtxs; - - /* Proceed with the rest of the code */ - SetUpCtrl(&ctrl, npes, dbglvl, *comm); - ctrl.seed = mype; - ctrl.CoarsenTo = amin(vtxdist[npes]+1, 25*npes); - - graph = Moc_SetUpGraph(&ctrl, 1, vtxdist, xadj, NULL, adjncy, NULL, &zeroflg); - - PreAllocateMemory(&ctrl, graph, &wspace); - - /*======================================================= - * Compute the initial geometric partitioning - =======================================================*/ - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - Coordinate_Partition(&ctrl, graph, *ndims, xyz, 0, &wspace); - - idxcopy(graph->nvtxs, graph->where, part); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - - FreeInitialGraphAndRemap(graph, 0); - FreeWSpace(&wspace); - FreeCtrl(&ctrl); - - GKfree((void **)&xadj, (void **)&adjncy, LTERM); -} - - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/grsetup.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/grsetup.c deleted file mode 100644 index 7f10a8f..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/grsetup.c +++ /dev/null @@ -1,274 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mgrsetup.c - * - * This file contain various graph setting up routines - * - * Started 10/19/96 - * George - * - * $Id: grsetup.c,v 1.7 2003/07/23 00:54:55 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - -/************************************************************************* -* This function setsup the CtrlType structure -**************************************************************************/ -GraphType *Moc_SetUpGraph(CtrlType *ctrl, int ncon, idxtype *vtxdist, idxtype *xadj, - idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, int *wgtflag) -{ - int i, j; - GraphType *graph; - int ltvwgts[MAXNCON]; - - graph = CreateGraph(); - graph->level = 0; - graph->gnvtxs = vtxdist[ctrl->npes]; - graph->nvtxs = vtxdist[ctrl->mype+1]-vtxdist[ctrl->mype]; - graph->ncon = ncon; - graph->nedges = xadj[graph->nvtxs]; - graph->xadj = xadj; - graph->vwgt = vwgt; - graph->adjncy = adjncy; - graph->adjwgt = adjwgt; - graph->vtxdist = vtxdist; - - - if (((*wgtflag)&2) == 0) - graph->vwgt = idxsmalloc(graph->nvtxs*ncon, 1, "Par_KMetis: vwgt"); - - if (((*wgtflag)&1) == 0) - graph->adjwgt = idxsmalloc(graph->nedges, 1, "Par_KMetis: adjwgt"); - - /* compute tvwgts */ - for (j=0; j<ncon; j++) - ltvwgts[j] = 0; - - for (i=0; i<graph->nvtxs; i++) - for (j=0; j<ncon; j++) - ltvwgts[j] += graph->vwgt[i*ncon+j]; - - for (j=0; j<ncon; j++) - ctrl->tvwgts[j] = GlobalSESum(ctrl, ltvwgts[j]); - - /* check for zero wgt constraints */ - for (i=0; i<ncon; i++) { - /* ADD: take care of the case in which tvwgts is zero */ - if (ctrl->tvwgts[i] == 0) { - rprintf(ctrl, "ERROR: sum weight for constraint %d is zero\n", i); - MPI_Finalize(); - exit(-1); - } - } - - /* compute nvwgts */ - graph->nvwgt = fmalloc(graph->nvtxs*ncon, "graph->nvwgt"); - for (i=0; i<graph->nvtxs; i++) { - for (j=0; j<ncon; j++) - graph->nvwgt[i*ncon+j] = (float)(graph->vwgt[i*ncon+j]) / (float)(ctrl->tvwgts[j]); - } - - srand(ctrl->seed); - - return graph; -} - - -/************************************************************************* -* This function setsup the CtrlType structure -**************************************************************************/ -void SetUpCtrl(CtrlType *ctrl, int nparts, int dbglvl, MPI_Comm comm) -{ - - MPI_Comm_dup(comm, &(ctrl->gcomm)); - MPI_Comm_rank(ctrl->gcomm, &ctrl->mype); - MPI_Comm_size(ctrl->gcomm, &ctrl->npes); - - ctrl->dbglvl = dbglvl; - ctrl->nparts = nparts; /* Set the # of partitions is de-coupled from the # of domains */ - ctrl->comm = ctrl->gcomm; - ctrl->xyztype = XYZ_SPFILL; - - srand(ctrl->mype); -} - - -/************************************************************************* -* This function changes the numbering from 1 to 0 or 0 to 1 -**************************************************************************/ -void ChangeNumbering(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *part, int npes, int mype, int from) -{ - int i, nvtxs, nedges; - - if (from == 1) { /* Change it from 1 to 0 */ - for (i=0; i<npes+1; i++) - vtxdist[i]--; - - nvtxs = vtxdist[mype+1]-vtxdist[mype]; - for (i=0; i<nvtxs+1; i++) - xadj[i]--; - - nedges = xadj[nvtxs]; - for (i=0; i<nedges; i++) - adjncy[i]--; - } - else { /* Change it from 0 to 1 */ - nvtxs = vtxdist[mype+1]-vtxdist[mype]; - nedges = xadj[nvtxs]; - - for (i=0; i<npes+1; i++) - vtxdist[i]++; - - for (i=0; i<nvtxs+1; i++) - xadj[i]++; - - for (i=0; i<nedges; i++) - adjncy[i]++; - - for (i=0; i<nvtxs; i++) - part[i]++; - - } -} - - -/************************************************************************* -* This function changes the numbering from 1 to 0 or 0 to 1 -**************************************************************************/ -void ChangeNumberingMesh(idxtype *elmdist, idxtype *elements, idxtype *xadj, - idxtype *adjncy, idxtype *part, int npes, int mype, - int elmntlen, int from) -{ - int i, nelms, nedges; - - if (from == 1) { /* Change it from 1 to 0 */ - for (i=0; i<npes+1; i++) - elmdist[i]--; - - for (i=0; i<elmntlen; i++) - elements[i]--; - } - else { /* Change it from 0 to 1 */ - nelms = elmdist[mype+1]-elmdist[mype]; - nedges = xadj[nelms]; - - for (i=0; i<npes+1; i++) - elmdist[i]++; - - for (i=0; i<elmntlen; i++) - elements[i]++; - - for (i=0; i<nelms+1; i++) - xadj[i]++; - - for (i=0; i<nedges; i++) - adjncy[i]++; - - if (part != NULL) - for (i=0; i<nelms; i++) - part[i]++; - } -} - - -/************************************************************************* -* This function changes the numbering from 1 to 0 or 0 to 1 -**************************************************************************/ -void ChangeNumberingMesh2(idxtype *elmdist, idxtype *eptr, idxtype *eind, - idxtype *xadj, idxtype *adjncy, idxtype *part, - int npes, int mype, int from) -{ - int i, nelms; - - nelms = elmdist[mype+1]-elmdist[mype]; - - if (from == 1) { /* Change it from 1 to 0 */ - for (i=0; i<npes+1; i++) - elmdist[i]--; - - for (i=0; i<nelms+1; i++) - eptr[i]--; - - for (i=0; i<eptr[nelms]; i++) - eind[i]--; - } - else { /* Change it from 0 to 1 */ - for (i=0; i<npes+1; i++) - elmdist[i]++; - - for (i=0; i<nelms+1; i++) - eptr[i]++; - - for (i=0; i<eptr[nelms]; i++) - eind[i]++; - - for (i=0; i<nelms+1; i++) - xadj[i]++; - - for (i=0; i<xadj[nelms]; i++) - adjncy[i]++; - - if (part != NULL) - for (i=0; i<nelms; i++) - part[i]++; - } -} - - - - -/************************************************************************* -* This function randomly permutes the locally stored adjacency lists -**************************************************************************/ -void GraphRandomPermute(GraphType *graph) -{ - int i, j, k, tmp; - - for (i=0; i<graph->nvtxs; i++) { - for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) { - k = graph->xadj[i] + RandomInRange(graph->xadj[i+1]-graph->xadj[i]); - SWAP(graph->adjncy[j], graph->adjncy[k], tmp); - SWAP(graph->adjwgt[j], graph->adjwgt[k], tmp); - } - } -} - - -/************************************************************************* -* This function computes movement statistics for adaptive refinement -* schemes -**************************************************************************/ -void ComputeMoveStatistics(CtrlType *ctrl, GraphType *graph, int *nmoved, int *maxin, int *maxout) -{ - int i, j, nvtxs; - idxtype *vwgt, *where; - idxtype *lpvtxs, *gpvtxs; - - nvtxs = graph->nvtxs; - vwgt = graph->vwgt; - where = graph->where; - - lpvtxs = idxsmalloc(ctrl->nparts, 0, "ComputeMoveStatistics: lpvtxs"); - gpvtxs = idxsmalloc(ctrl->nparts, 0, "ComputeMoveStatistics: gpvtxs"); - - for (j=i=0; i<nvtxs; i++) { - lpvtxs[where[i]]++; - if (where[i] != ctrl->mype) - j++; - } - - /* PrintVector(ctrl, ctrl->npes, 0, lpvtxs, "Lpvtxs: "); */ - - MPI_Allreduce((void *)lpvtxs, (void *)gpvtxs, ctrl->nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - - *nmoved = GlobalSESum(ctrl, j); - *maxout = GlobalSEMax(ctrl, j); - *maxin = GlobalSEMax(ctrl, gpvtxs[ctrl->mype]-(nvtxs-j)); - - GKfree((void **)&lpvtxs, (void **)&gpvtxs, LTERM); -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/iidxsort.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/iidxsort.c deleted file mode 100644 index 869748c..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/iidxsort.c +++ /dev/null @@ -1,152 +0,0 @@ -#include <parmetislib.h> - - -/* Byte-wise swap two items of size SIZE. */ -#define QSSWAP(a, b, stmp) do { stmp = (a); (a) = (b); (b) = stmp; } while (0) - -/* Discontinue quicksort algorithm when partition gets below this size. - This particular magic number was chosen to work best on a Sun 4/260. */ -#define MAX_THRESH 20 - -/* Stack node declarations used to store unfulfilled partition obligations. */ -typedef struct { - idxtype *lo; - idxtype *hi; -} stack_node; - - -/* The next 4 #defines implement a very fast in-line stack abstraction. */ -#define STACK_SIZE (8 * sizeof(unsigned long int)) -#define PUSH(low, high) ((void) ((top->lo = (low)), (top->hi = (high)), ++top)) -#define POP(low, high) ((void) (--top, (low = top->lo), (high = top->hi))) -#define STACK_NOT_EMPTY (stack < top) - - -void iidxsort(int total_elems, idxtype *pbase) -{ - idxtype pivot, stmp; - - if (total_elems == 0) - /* Avoid lossage with unsigned arithmetic below. */ - return; - - if (total_elems > MAX_THRESH) { - idxtype *lo = pbase; - idxtype *hi = &lo[total_elems - 1]; - stack_node stack[STACK_SIZE]; /* Largest size needed for 32-bit int!!! */ - stack_node *top = stack + 1; - - while (STACK_NOT_EMPTY) { - idxtype *left_ptr; - idxtype *right_ptr; - idxtype *mid = lo + ((hi - lo) >> 1); - - - if (*mid < *lo) - QSSWAP(*mid, *lo, stmp); - if (*hi < *mid) - QSSWAP(*mid, *hi, stmp); - else - goto jump_over; - if (*mid < *lo) - QSSWAP(*mid, *lo, stmp); - -jump_over:; - pivot = *mid; - left_ptr = lo + 1; - right_ptr = hi - 1; - - /* Here's the famous ``collapse the walls'' section of quicksort. - Gotta like those tight inner loops! They are the main reason - that this algorithm runs much faster than others. */ - do { - while (*left_ptr < pivot) - left_ptr++; - - while (pivot < *right_ptr) - right_ptr--; - - if (left_ptr < right_ptr) { - QSSWAP (*left_ptr, *right_ptr, stmp); - left_ptr++; - right_ptr--; - } - else if (left_ptr == right_ptr) { - left_ptr++; - right_ptr--; - break; - } - } while (left_ptr <= right_ptr); - - /* Set up pointers for next iteration. First determine whether - left and right partitions are below the threshold size. If so, - ignore one or both. Otherwise, push the larger partition's - bounds on the stack and continue sorting the smaller one. */ - - if ((size_t) (right_ptr - lo) <= MAX_THRESH) { - if ((size_t) (hi - left_ptr) <= MAX_THRESH) - /* Ignore both small partitions. */ - POP (lo, hi); - else - /* Ignore small left partition. */ - lo = left_ptr; - } - else if ((size_t) (hi - left_ptr) <= MAX_THRESH) - /* Ignore small right partition. */ - hi = right_ptr; - else if ((right_ptr - lo) > (hi - left_ptr)) { - /* Push larger left partition indices. */ - PUSH (lo, right_ptr); - lo = left_ptr; - } - else { - /* Push larger right partition indices. */ - PUSH (left_ptr, hi); - hi = right_ptr; - } - } - } - - /* Once the BASE_PTR array is partially sorted by quicksort the rest - is completely sorted using insertion sort, since this is efficient - for partitions below MAX_THRESH size. BASE_PTR points to the beginning - of the array to sort, and END_PTR points at the very last element in - the array (*not* one beyond it!). */ - - { - idxtype *end_ptr = &pbase[total_elems - 1]; - idxtype *tmp_ptr = pbase; - idxtype *thresh = (end_ptr < pbase + MAX_THRESH ? end_ptr : pbase + MAX_THRESH); - register idxtype *run_ptr; - - /* Find smallest element in first threshold and place it at the - array's beginning. This is the smallest array element, - and the operation speeds up insertion sort's inner loop. */ - - - for (run_ptr = tmp_ptr + 1; run_ptr <= thresh; run_ptr++) - if (*run_ptr < *tmp_ptr) - tmp_ptr = run_ptr; - - if (tmp_ptr != pbase) - QSSWAP(*tmp_ptr, *pbase, stmp); - - /* Insertion sort, running from left-hand-side up to right-hand-side. */ - run_ptr = pbase + 1; - while (++run_ptr <= end_ptr) { - tmp_ptr = run_ptr - 1; - while (*run_ptr < *tmp_ptr) - tmp_ptr--; - - tmp_ptr++; - if (tmp_ptr != run_ptr) { - idxtype elmnt = *run_ptr; - idxtype *mptr; - - for (mptr=run_ptr; mptr>tmp_ptr; mptr--) - *mptr = *(mptr-1); - *mptr = elmnt; - } - } - } -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/iintsort.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/iintsort.c deleted file mode 100644 index fb0e840..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/iintsort.c +++ /dev/null @@ -1,157 +0,0 @@ -#include <parmetislib.h> - - -/* Byte-wise swap two items of size SIZE. */ -#define QSSWAP(a, b, stmp) do { stmp = (a); (a) = (b); (b) = stmp; } while (0) - -/* Discontinue quicksort algorithm when partition gets below this size. - This particular magic number was chosen to work best on a Sun 4/260. */ -#define MAX_THRESH 20 - -/* Stack node declarations used to store unfulfilled partition obligations. */ -typedef struct { - int *lo; - int *hi; -} stack_node; - - -/* The next 4 #defines implement a very fast in-line stack abstraction. */ -#define STACK_SIZE (8 * sizeof(unsigned long int)) -#define PUSH(low, high) ((void) ((top->lo = (low)), (top->hi = (high)), ++top)) -#define POP(low, high) ((void) (--top, (low = top->lo), (high = top->hi))) -#define STACK_NOT_EMPTY (stack < top) - - -void iintsort(int total_elems, int *pbase) -{ - int pivot, stmp; - - if (total_elems == 0) - /* Avoid lossage with unsigned arithmetic below. */ - return; - - if (total_elems > MAX_THRESH) { - int *lo = pbase; - int *hi = &lo[total_elems - 1]; - stack_node stack[STACK_SIZE]; /* Largest size needed for 32-bit int!!! */ - stack_node *top = stack + 1; - - while (STACK_NOT_EMPTY) { - int *left_ptr; - int *right_ptr; - - /* Select median value from among LO, MID, and HI. Rearrange - LO and HI so the three values are sorted. This lowers the - probability of picking a pathological pivot value and - skips a comparison for both the LEFT_PTR and RIGHT_PTR. */ - - int *mid = lo + ((hi - lo) >> 1); - - if (*mid < *lo) - QSSWAP(*mid, *lo, stmp); - if (*hi < *mid) - QSSWAP(*mid, *hi, stmp); - else - goto jump_over; - if (*mid < *lo) - QSSWAP(*mid, *lo, stmp); - -jump_over:; - pivot = *mid; - left_ptr = lo + 1; - right_ptr = hi - 1; - - /* Here's the famous ``collapse the walls'' section of quicksort. - Gotta like those tight inner loops! They are the main reason - that this algorithm runs much faster than others. */ - do { - while (*left_ptr < pivot) - left_ptr++; - - while (pivot < *right_ptr) - right_ptr--; - - if (left_ptr < right_ptr) { - QSSWAP (*left_ptr, *right_ptr, stmp); - left_ptr++; - right_ptr--; - } - else if (left_ptr == right_ptr) { - left_ptr++; - right_ptr--; - break; - } - } while (left_ptr <= right_ptr); - - /* Set up pointers for next iteration. First determine whether - left and right partitions are below the threshold size. If so, - ignore one or both. Otherwise, push the larger partition's - bounds on the stack and continue sorting the smaller one. */ - - if ((size_t) (right_ptr - lo) <= MAX_THRESH) { - if ((size_t) (hi - left_ptr) <= MAX_THRESH) - /* Ignore both small partitions. */ - POP (lo, hi); - else - /* Ignore small left partition. */ - lo = left_ptr; - } - else if ((size_t) (hi - left_ptr) <= MAX_THRESH) - /* Ignore small right partition. */ - hi = right_ptr; - else if ((right_ptr - lo) > (hi - left_ptr)) { - /* Push larger left partition indices. */ - PUSH (lo, right_ptr); - lo = left_ptr; - } - else { - /* Push larger right partition indices. */ - PUSH (left_ptr, hi); - hi = right_ptr; - } - } - } - - /* Once the BASE_PTR array is partially sorted by quicksort the rest - is completely sorted using insertion sort, since this is efficient - for partitions below MAX_THRESH size. BASE_PTR points to the beginning - of the array to sort, and END_PTR points at the very last element in - the array (*not* one beyond it!). */ - - { - int *end_ptr = &pbase[total_elems - 1]; - int *tmp_ptr = pbase; - int *thresh = (end_ptr < pbase + MAX_THRESH ? end_ptr : pbase + MAX_THRESH); - register int *run_ptr; - - /* Find smallest element in first threshold and place it at the - array's beginning. This is the smallest array element, - and the operation speeds up insertion sort's inner loop. */ - - - for (run_ptr = tmp_ptr + 1; run_ptr <= thresh; run_ptr++) - if (*run_ptr < *tmp_ptr) - tmp_ptr = run_ptr; - - if (tmp_ptr != pbase) - QSSWAP(*tmp_ptr, *pbase, stmp); - - /* Insertion sort, running from left-hand-side up to right-hand-side. */ - run_ptr = pbase + 1; - while (++run_ptr <= end_ptr) { - tmp_ptr = run_ptr - 1; - while (*run_ptr < *tmp_ptr) - tmp_ptr--; - - tmp_ptr++; - if (tmp_ptr != run_ptr) { - int elmnt = *run_ptr; - int *mptr; - - for (mptr=run_ptr; mptr>tmp_ptr; mptr--) - *mptr = *(mptr-1); - *mptr = elmnt; - } - } - } -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ikeysort.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ikeysort.c deleted file mode 100644 index 14b4241..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ikeysort.c +++ /dev/null @@ -1,151 +0,0 @@ -#include <parmetislib.h> - - -/* Byte-wise swap two items of size SIZE. */ -#define QSSWAP(a, b, stmp) do { stmp = (a); (a) = (b); (b) = stmp; } while (0) - -/* Discontinue quicksort algorithm when partition gets below this size. - This particular magic number was chosen to work best on a Sun 4/260. */ -#define MAX_THRESH 20 - -/* Stack node declarations used to store unfulfilled partition obligations. */ -typedef struct { - KeyValueType *lo; - KeyValueType *hi; -} stack_node; - - -/* The next 4 #defines implement a very fast in-line stack abstraction. */ -#define STACK_SIZE (8 * sizeof(unsigned long int)) -#define PUSH(low, high) ((void) ((top->lo = (low)), (top->hi = (high)), ++top)) -#define POP(low, high) ((void) (--top, (low = top->lo), (high = top->hi))) -#define STACK_NOT_EMPTY (stack < top) - - -void ikeysort(int total_elems, KeyValueType *pbase) -{ - KeyValueType pivot, stmp; - - if (total_elems == 0) - /* Avoid lossage with unsigned arithmetic below. */ - return; - - if (total_elems > MAX_THRESH) { - KeyValueType *lo = pbase; - KeyValueType *hi = &lo[total_elems - 1]; - stack_node stack[STACK_SIZE]; /* Largest size needed for 32-bit int!!! */ - stack_node *top = stack + 1; - - while (STACK_NOT_EMPTY) { - KeyValueType *left_ptr; - KeyValueType *right_ptr; - KeyValueType *mid = lo + ((hi - lo) >> 1); - - if (mid->key < lo->key) - QSSWAP(*mid, *lo, stmp); - if (hi->key < mid->key) - QSSWAP(*mid, *hi, stmp); - else - goto jump_over; - if (mid->key < lo->key) - QSSWAP(*mid, *lo, stmp); - -jump_over:; - pivot = *mid; - left_ptr = lo + 1; - right_ptr = hi - 1; - - /* Here's the famous ``collapse the walls'' section of quicksort. - Gotta like those tight inner loops! They are the main reason - that this algorithm runs much faster than others. */ - do { - while (left_ptr->key < pivot.key) - left_ptr++; - - while (pivot.key < right_ptr->key) - right_ptr--; - - if (left_ptr < right_ptr) { - QSSWAP (*left_ptr, *right_ptr, stmp); - left_ptr++; - right_ptr--; - } - else if (left_ptr == right_ptr) { - left_ptr++; - right_ptr--; - break; - } - } while (left_ptr <= right_ptr); - - /* Set up pointers for next iteration. First determine whether - left and right partitions are below the threshold size. If so, - ignore one or both. Otherwise, push the larger partition's - bounds on the stack and continue sorting the smaller one. */ - - if ((size_t) (right_ptr - lo) <= MAX_THRESH) { - if ((size_t) (hi - left_ptr) <= MAX_THRESH) - /* Ignore both small partitions. */ - POP (lo, hi); - else - /* Ignore small left partition. */ - lo = left_ptr; - } - else if ((size_t) (hi - left_ptr) <= MAX_THRESH) - /* Ignore small right partition. */ - hi = right_ptr; - else if ((right_ptr - lo) > (hi - left_ptr)) { - /* Push larger left partition indices. */ - PUSH (lo, right_ptr); - lo = left_ptr; - } - else { - /* Push larger right partition indices. */ - PUSH (left_ptr, hi); - hi = right_ptr; - } - } - } - - /* Once the BASE_PTR array is partially sorted by quicksort the rest - is completely sorted using insertion sort, since this is efficient - for partitions below MAX_THRESH size. BASE_PTR points to the beginning - of the array to sort, and END_PTR points at the very last element in - the array (*not* one beyond it!). */ - - { - KeyValueType *end_ptr = &pbase[total_elems - 1]; - KeyValueType *tmp_ptr = pbase; - KeyValueType *thresh = (end_ptr < pbase + MAX_THRESH ? end_ptr : pbase + MAX_THRESH); - register KeyValueType *run_ptr; - - /* Find smallest element in first threshold and place it at the - array's beginning. This is the smallest array element, - and the operation speeds up insertion sort's inner loop. */ - - for (run_ptr = tmp_ptr + 1; run_ptr <= thresh; run_ptr++) - if (run_ptr->key < tmp_ptr->key) - tmp_ptr = run_ptr; - - if (tmp_ptr != pbase) - QSSWAP(*tmp_ptr, *pbase, stmp); - - /* Insertion sort, running from left-hand-side up to right-hand-side. */ - run_ptr = pbase + 1; - while (++run_ptr <= end_ptr) { - tmp_ptr = run_ptr - 1; - while (run_ptr->key < tmp_ptr->key) - tmp_ptr--; - - tmp_ptr++; - if (tmp_ptr != run_ptr) { - KeyValueType elmnt = *run_ptr; - KeyValueType *mptr; - - for (mptr=run_ptr; mptr>tmp_ptr; mptr--) - *mptr = *(mptr-1); - *mptr = elmnt; - } - } - } -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ikeyvalsort.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ikeyvalsort.c deleted file mode 100644 index 59dce52..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ikeyvalsort.c +++ /dev/null @@ -1,151 +0,0 @@ -#include <parmetislib.h> - - -/* Byte-wise swap two items of size SIZE. */ -#define QSSWAP(a, b, stmp) do { stmp = (a); (a) = (b); (b) = stmp; } while (0) - -/* Discontinue quicksort algorithm when partition gets below this size. - This particular magic number was chosen to work best on a Sun 4/260. */ -#define MAX_THRESH 20 - -/* Stack node declarations used to store unfulfilled partition obligations. */ -typedef struct { - KeyValueType *lo; - KeyValueType *hi; -} stack_node; - - -/* The next 4 #defines implement a very fast in-line stack abstraction. */ -#define STACK_SIZE (8 * sizeof(unsigned long int)) -#define PUSH(low, high) ((void) ((top->lo = (low)), (top->hi = (high)), ++top)) -#define POP(low, high) ((void) (--top, (low = top->lo), (high = top->hi))) -#define STACK_NOT_EMPTY (stack < top) - - -void ikeyvalsort(int total_elems, KeyValueType *pbase) -{ - KeyValueType pivot, stmp; - - if (total_elems == 0) - /* Avoid lossage with unsigned arithmetic below. */ - return; - - if (total_elems > MAX_THRESH) { - KeyValueType *lo = pbase; - KeyValueType *hi = &lo[total_elems - 1]; - stack_node stack[STACK_SIZE]; /* Largest size needed for 32-bit int!!! */ - stack_node *top = stack + 1; - - while (STACK_NOT_EMPTY) { - KeyValueType *left_ptr; - KeyValueType *right_ptr; - KeyValueType *mid = lo + ((hi - lo) >> 1); - - if (mid->key < lo->key || (mid->key == lo->key && mid->val < lo->val)) - QSSWAP(*mid, *lo, stmp); - if (hi->key < mid->key || (hi->key == mid->key && hi->val < mid->val)) - QSSWAP(*mid, *hi, stmp); - else - goto jump_over; - if (mid->key < lo->key || (mid->key == lo->key && mid->val < lo->val)) - QSSWAP(*mid, *lo, stmp); - -jump_over:; - pivot = *mid; - left_ptr = lo + 1; - right_ptr = hi - 1; - - /* Here's the famous ``collapse the walls'' section of quicksort. - Gotta like those tight inner loops! They are the main reason - that this algorithm runs much faster than others. */ - do { - while (left_ptr->key < pivot.key || (left_ptr->key == pivot.key && left_ptr->val < pivot.val)) - left_ptr++; - - while (pivot.key < right_ptr->key || (pivot.key == right_ptr->key && pivot.val < right_ptr->val)) - right_ptr--; - - if (left_ptr < right_ptr) { - QSSWAP (*left_ptr, *right_ptr, stmp); - left_ptr++; - right_ptr--; - } - else if (left_ptr == right_ptr) { - left_ptr++; - right_ptr--; - break; - } - } while (left_ptr <= right_ptr); - - /* Set up pointers for next iteration. First determine whether - left and right partitions are below the threshold size. If so, - ignore one or both. Otherwise, push the larger partition's - bounds on the stack and continue sorting the smaller one. */ - - if ((size_t) (right_ptr - lo) <= MAX_THRESH) { - if ((size_t) (hi - left_ptr) <= MAX_THRESH) - /* Ignore both small partitions. */ - POP (lo, hi); - else - /* Ignore small left partition. */ - lo = left_ptr; - } - else if ((size_t) (hi - left_ptr) <= MAX_THRESH) - /* Ignore small right partition. */ - hi = right_ptr; - else if ((right_ptr - lo) > (hi - left_ptr)) { - /* Push larger left partition indices. */ - PUSH (lo, right_ptr); - lo = left_ptr; - } - else { - /* Push larger right partition indices. */ - PUSH (left_ptr, hi); - hi = right_ptr; - } - } - } - - /* Once the BASE_PTR array is partially sorted by quicksort the rest - is completely sorted using insertion sort, since this is efficient - for partitions below MAX_THRESH size. BASE_PTR points to the beginning - of the array to sort, and END_PTR points at the very last element in - the array (*not* one beyond it!). */ - - { - KeyValueType *end_ptr = &pbase[total_elems - 1]; - KeyValueType *tmp_ptr = pbase; - KeyValueType *thresh = (end_ptr < pbase + MAX_THRESH ? end_ptr : pbase + MAX_THRESH); - register KeyValueType *run_ptr; - - /* Find smallest element in first threshold and place it at the - array's beginning. This is the smallest array element, - and the operation speeds up insertion sort's inner loop. */ - - for (run_ptr = tmp_ptr + 1; run_ptr <= thresh; run_ptr++) - if (run_ptr->key < tmp_ptr->key || (run_ptr->key == tmp_ptr->key && run_ptr->val < tmp_ptr->val)) - tmp_ptr = run_ptr; - - if (tmp_ptr != pbase) - QSSWAP(*tmp_ptr, *pbase, stmp); - - /* Insertion sort, running from left-hand-side up to right-hand-side. */ - run_ptr = pbase + 1; - while (++run_ptr <= end_ptr) { - tmp_ptr = run_ptr - 1; - while (run_ptr->key < tmp_ptr->key || (run_ptr->key == tmp_ptr->key && run_ptr->val < tmp_ptr->val)) - tmp_ptr--; - - tmp_ptr++; - if (tmp_ptr != run_ptr) { - KeyValueType elmnt = *run_ptr; - KeyValueType *mptr; - - for (mptr=run_ptr; mptr>tmp_ptr; mptr--) - *mptr = *(mptr-1); - *mptr = elmnt; - } - } - } -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initbalance.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initbalance.c deleted file mode 100644 index 9ec7a31..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initbalance.c +++ /dev/null @@ -1,498 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * initbalance.c - * - * This file contains code that computes an initial partitioning - * - * Started 3/4/96 - * George - * - * $Id: initbalance.c,v 1.4 2003/07/30 21:18:52 karypis Exp $ - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function is the entry point of the initial balancing algorithm. -* This algorithm assembles the graph to all the processors and preceeds -* with the balancing step. -**************************************************************************/ -void Balance_Partition(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, j, mype, npes, nvtxs, nedges, ncon; - idxtype *vtxdist, *xadj, *adjncy, *adjwgt, *vwgt, *vsize; - idxtype *part, *lwhere, *home; - GraphType *agraph, cgraph; - CtrlType myctrl; - int lnparts, fpart, fpe, lnpes, ngroups, srnpes, srmype; - int twoparts=2, numflag = 0, wgtflag = 3, moptions[10], edgecut, max_cut; - int sr_pe, gd_pe, sr, gd, who_wins, *rcounts, *rdispls; - float my_cut, my_totalv, my_cost = -1.0, my_balance = -1.0, wsum; - float rating, max_rating, your_cost = -1.0, your_balance = -1.0; - float lbvec[MAXNCON], lbsum, min_lbsum, *mytpwgts, mytpwgts2[2], buffer[2]; - MPI_Status status; - MPI_Comm ipcomm, srcomm; - struct { - float cost; - int rank; - } lpecost, gpecost; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - - vtxdist = graph->vtxdist; - agraph = Moc_AssembleAdaptiveGraph(ctrl, graph, wspace); - nvtxs = cgraph.nvtxs = agraph->nvtxs; - nedges = cgraph.nedges = agraph->nedges; - ncon = cgraph.ncon = agraph->ncon; - - xadj = cgraph.xadj = idxmalloc(nvtxs*(5+ncon)+1+nedges*2, "U_IP: xadj"); - vwgt = cgraph.vwgt = xadj + nvtxs+1; - vsize = cgraph.vsize = xadj + nvtxs*(1+ncon)+1; - cgraph.where = agraph->where = part = xadj + nvtxs*(2+ncon)+1; - lwhere = xadj + nvtxs*(3+ncon)+1; - home = xadj + nvtxs*(4+ncon)+1; - adjncy = cgraph.adjncy = xadj + nvtxs*(5+ncon)+1; - adjwgt = cgraph.adjwgt = xadj + nvtxs*(5+ncon)+1 + nedges; - - /* ADD: this assumes that tpwgts for all constraints is the same */ - /* ADD: this is necessary because serial metis does not support the general case */ - mytpwgts = fsmalloc(ctrl->nparts, 0.0, "mytpwgts"); - for (i=0; i<ctrl->nparts; i++) - for (j=0; j<ncon; j++) - mytpwgts[i] += ctrl->tpwgts[i*ncon+j]; - for (i=0; i<ctrl->nparts; i++) - mytpwgts[i] /= (float)ncon; - - idxcopy(nvtxs+1, agraph->xadj, xadj); - idxcopy(nvtxs*ncon, agraph->vwgt, vwgt); - idxcopy(nvtxs, agraph->vsize, vsize); - idxcopy(nedges, agraph->adjncy, adjncy); - idxcopy(nedges, agraph->adjwgt, adjwgt); - - /****************************************/ - /****************************************/ - if (ctrl->ps_relation == DISCOUPLED) { - rcounts = imalloc(ctrl->npes, "rcounts"); - rdispls = imalloc(ctrl->npes+1, "rdispls"); - - for (i=0; i<ctrl->npes; i++) { - rdispls[i] = rcounts[i] = vtxdist[i+1]-vtxdist[i]; - } - MAKECSR(i, ctrl->npes, rdispls); - - MPI_Allgatherv((void *)graph->home, graph->nvtxs, IDX_DATATYPE, - (void *)part, rcounts, rdispls, IDX_DATATYPE, ctrl->comm); - - for (i=0; i<agraph->nvtxs; i++) - home[i] = part[i]; - - GKfree((void **)&rcounts, (void **)&rdispls, LTERM); - } - else { - for (i=0; i<ctrl->npes; i++) - for (j=vtxdist[i]; j<vtxdist[i+1]; j++) - part[j] = home[j] = i; - } - - /* Ensure that the initial partitioning is legal */ - for (i=0; i<agraph->nvtxs; i++) { - if (part[i] >= ctrl->nparts) - part[i] = home[i] = part[i] % ctrl->nparts; - if (part[i] < 0) - part[i] = home[i] = (-1*part[i]) % ctrl->nparts; - } - /****************************************/ - /****************************************/ - - IFSET(ctrl->dbglvl, DBG_REFINEINFO, Moc_ComputeSerialBalance(ctrl, agraph, agraph->where, lbvec)); - IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "input cut: %d, balance: ", ComputeSerialEdgeCut(agraph))); - for (i=0; i<agraph->ncon; i++) - IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "%.3f ", lbvec[i])); - IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "\n")); - - /****************************************/ - /* Split the processors into two groups */ - /****************************************/ - sr = (ctrl->mype % 2 == 0) ? 1 : 0; - gd = (ctrl->mype % 2 == 1) ? 1 : 0; - - if (graph->ncon > MAX_NCON_FOR_DIFFUSION || ctrl->npes == 1) { - sr = 1; - gd = 0; - } - - sr_pe = 0; - gd_pe = 1; - - MPI_Comm_split(ctrl->gcomm, sr, 0, &ipcomm); - MPI_Comm_rank(ipcomm, &mype); - MPI_Comm_size(ipcomm, &npes); - - myctrl.dbglvl = 0; - myctrl.mype = mype; - myctrl.npes = npes; - myctrl.comm = ipcomm; - myctrl.sync = ctrl->sync; - myctrl.seed = ctrl->seed; - myctrl.nparts = ctrl->nparts; - myctrl.ipc_factor = ctrl->ipc_factor; - myctrl.redist_factor = ctrl->redist_base; - myctrl.partType = ADAPTIVE_PARTITION; - myctrl.ps_relation = DISCOUPLED; - myctrl.tpwgts = ctrl->tpwgts; - icopy(ncon, ctrl->tvwgts, myctrl.tvwgts); - icopy(ncon, ctrl->ubvec, myctrl.ubvec); - - if (sr == 1) { - /*******************************************/ - /* Half of the processors do scratch-remap */ - /*******************************************/ - ngroups = amax(amin(RIP_SPLIT_FACTOR, npes), 1); - MPI_Comm_split(ipcomm, mype % ngroups, 0, &srcomm); - MPI_Comm_rank(srcomm, &srmype); - MPI_Comm_size(srcomm, &srnpes); - - moptions[0] = 0; - moptions[7] = ctrl->sync + (mype % ngroups) + 1; - - idxset(nvtxs, 0, lwhere); - lnparts = ctrl->nparts; - fpart = fpe = 0; - lnpes = srnpes; - while (lnpes > 1 && lnparts > 1) { - ASSERT(ctrl, agraph->nvtxs > 1); - /* Determine the weights of the partitions */ - mytpwgts2[0] = ssum(lnparts/2, mytpwgts+fpart); - mytpwgts2[1] = 1.0-mytpwgts2[0]; - - - if (agraph->ncon == 1) { - METIS_WPartGraphKway2(&agraph->nvtxs, agraph->xadj, agraph->adjncy, agraph->vwgt, - agraph->adjwgt, &wgtflag, &numflag, &twoparts, mytpwgts2, moptions, &edgecut, - part); - } - else { - METIS_mCPartGraphRecursive2(&agraph->nvtxs, &ncon, agraph->xadj, agraph->adjncy, - agraph->vwgt, agraph->adjwgt, &wgtflag, &numflag, &twoparts, mytpwgts2, - moptions, &edgecut, part); - } - - wsum = ssum(lnparts/2, mytpwgts+fpart); - sscale(lnparts/2, 1.0/wsum, mytpwgts+fpart); - sscale(lnparts-lnparts/2, 1.0/(1.0-wsum), mytpwgts+fpart+lnparts/2); - - /* I'm picking the left branch */ - if (srmype < fpe+lnpes/2) { - Moc_KeepPart(agraph, wspace, part, 0); - lnpes = lnpes/2; - lnparts = lnparts/2; - } - else { - Moc_KeepPart(agraph, wspace, part, 1); - fpart = fpart + lnparts/2; - fpe = fpe + lnpes/2; - lnpes = lnpes - lnpes/2; - lnparts = lnparts - lnparts/2; - } - } - - /* In case srnpes is greater than or equal to nparts */ - if (lnparts == 1) { - /* Only the first process will assign labels (for the reduction to work) */ - if (srmype == fpe) { - for (i=0; i<agraph->nvtxs; i++) - lwhere[agraph->label[i]] = fpart; - } - } - /* In case srnpes is smaller than nparts */ - else { - if (ncon == 1) - METIS_WPartGraphKway2(&agraph->nvtxs, agraph->xadj, agraph->adjncy, agraph->vwgt, - agraph->adjwgt, &wgtflag, &numflag, &lnparts, mytpwgts+fpart, moptions, - &edgecut, part); - else - METIS_mCPartGraphRecursive2(&agraph->nvtxs, &ncon, agraph->xadj, agraph->adjncy, - agraph->vwgt, agraph->adjwgt, &wgtflag, &numflag, &lnparts, mytpwgts+fpart, - moptions, &edgecut, part); - - for (i=0; i<agraph->nvtxs; i++) - lwhere[agraph->label[i]] = fpart + part[i]; - } - - MPI_Allreduce((void *)lwhere, (void *)part, nvtxs, IDX_DATATYPE, MPI_SUM, srcomm); - - edgecut = ComputeSerialEdgeCut(&cgraph); - Moc_ComputeSerialBalance(ctrl, &cgraph, part, lbvec); - lbsum = ssum(ncon, lbvec); - MPI_Allreduce((void *)&edgecut, (void *)&max_cut, 1, MPI_INT, MPI_MAX, ipcomm); - MPI_Allreduce((void *)&lbsum, (void *)&min_lbsum, 1, MPI_FLOAT, MPI_MIN, ipcomm); - lpecost.rank = ctrl->mype; - lpecost.cost = lbsum; - if (min_lbsum < UNBALANCE_FRACTION * (float)(ncon)) { - if (lbsum < UNBALANCE_FRACTION * (float)(ncon)) - lpecost.cost = (float)edgecut; - else - lpecost.cost = (float)max_cut + lbsum; - } - MPI_Allreduce((void *)&lpecost, (void *)&gpecost, 1, MPI_FLOAT_INT, MPI_MINLOC, ipcomm); - - if (ctrl->mype == gpecost.rank && ctrl->mype != sr_pe) { - MPI_Send((void *)part, nvtxs, IDX_DATATYPE, sr_pe, 1, ctrl->comm); - } - - if (ctrl->mype != gpecost.rank && ctrl->mype == sr_pe) { - MPI_Recv((void *)part, nvtxs, IDX_DATATYPE, gpecost.rank, 1, ctrl->comm, &status); - } - - if (ctrl->mype == sr_pe) { - idxcopy(nvtxs, part, lwhere); - SerialRemap(&cgraph, ctrl->nparts, home, lwhere, part, ctrl->tpwgts); - } - - MPI_Comm_free(&srcomm); - } - /**************************************/ - /* The other half do global diffusion */ - /**************************************/ - else { - /******************************************************************/ - /* The next stmt is required to balance out the sr MPI_Comm_split */ - /******************************************************************/ - MPI_Comm_split(ipcomm, MPI_UNDEFINED, 0, &srcomm); - - if (ncon == 1) { - rating = WavefrontDiffusion(&myctrl, agraph, home); - Moc_ComputeSerialBalance(ctrl, &cgraph, part, lbvec); - lbsum = ssum(ncon, lbvec); - - /* Determine which PE computed the best partitioning */ - MPI_Allreduce((void *)&rating, (void *)&max_rating, 1, MPI_FLOAT, MPI_MAX, ipcomm); - MPI_Allreduce((void *)&lbsum, (void *)&min_lbsum, 1, MPI_FLOAT, MPI_MIN, ipcomm); - - lpecost.rank = ctrl->mype; - lpecost.cost = lbsum; - if (min_lbsum < UNBALANCE_FRACTION * (float)(ncon)) { - if (lbsum < UNBALANCE_FRACTION * (float)(ncon)) - lpecost.cost = rating; - else - lpecost.cost = max_rating + lbsum; - } - - MPI_Allreduce((void *)&lpecost, (void *)&gpecost, 1, MPI_FLOAT_INT, MPI_MINLOC, ipcomm); - - /* Now send this to the coordinating processor */ - if (ctrl->mype == gpecost.rank && ctrl->mype != gd_pe) - MPI_Send((void *)part, nvtxs, IDX_DATATYPE, gd_pe, 1, ctrl->comm); - - if (ctrl->mype != gpecost.rank && ctrl->mype == gd_pe) - MPI_Recv((void *)part, nvtxs, IDX_DATATYPE, gpecost.rank, 1, ctrl->comm, &status); - - if (ctrl->mype == gd_pe) { - idxcopy(nvtxs, part, lwhere); - SerialRemap(&cgraph, ctrl->nparts, home, lwhere, part, ctrl->tpwgts); - } - } - else { - Moc_Diffusion(&myctrl, agraph, graph->vtxdist, agraph->where, home, wspace, N_MOC_GD_PASSES); - } - } - - if (graph->ncon <= MAX_NCON_FOR_DIFFUSION) { - if (ctrl->mype == sr_pe || ctrl->mype == gd_pe) { - /********************************************************************/ - /* The coordinators from each group decide on the best partitioning */ - /********************************************************************/ - my_cut = (float) ComputeSerialEdgeCut(&cgraph); - my_totalv = (float) Mc_ComputeSerialTotalV(&cgraph, home); - Moc_ComputeSerialBalance(ctrl, &cgraph, part, lbvec); - my_balance = ssum(cgraph.ncon, lbvec); - my_balance /= (float) cgraph.ncon; - my_cost = ctrl->ipc_factor * my_cut + REDIST_WGT * ctrl->redist_base * my_totalv; - - IFSET(ctrl->dbglvl, DBG_REFINEINFO, printf("%s initial cut: %.1f, totalv: %.1f, balance: %.3f\n", - (ctrl->mype == sr_pe ? "scratch-remap" : "diffusion"), my_cut, my_totalv, my_balance)); - - if (ctrl->mype == gd_pe) { - buffer[0] = my_cost; - buffer[1] = my_balance; - MPI_Send((void *)buffer, 2, MPI_FLOAT, sr_pe, 1, ctrl->comm); - } - else { - MPI_Recv((void *)buffer, 2, MPI_FLOAT, gd_pe, 1, ctrl->comm, &status); - your_cost = buffer[0]; - your_balance = buffer[1]; - } - } - - if (ctrl->mype == sr_pe) { - who_wins = gd_pe; - if ((my_balance < 1.1 && your_balance > 1.1) || - (my_balance < 1.1 && your_balance < 1.1 && my_cost < your_cost) || - (my_balance > 1.1 && your_balance > 1.1 && my_balance < your_balance)) { - who_wins = sr_pe; - } - } - - MPI_Bcast((void *)&who_wins, 1, MPI_INT, sr_pe, ctrl->comm); - } - else { - who_wins = sr_pe; - } - - MPI_Bcast((void *)part, nvtxs, IDX_DATATYPE, who_wins, ctrl->comm); - idxcopy(graph->nvtxs, part+vtxdist[ctrl->mype], graph->where); - - MPI_Comm_free(&ipcomm); - GKfree((void **)&xadj, (void **)&mytpwgts, LTERM); - -/* For whatever reason, FreeGraph crashes here...so explicitly free the memory. - FreeGraph(agraph); -*/ - GKfree((void **)&agraph->xadj, (void **)&agraph->adjncy, (void **)&agraph->vwgt, (void **)&agraph->nvwgt, LTERM); - GKfree((void **)&agraph->vsize, (void **)&agraph->adjwgt, (void **)&agraph->label, LTERM); - GKfree((void **)&agraph, LTERM); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - -} - - -/* NOTE: this subroutine should work for static, adaptive, single-, and multi-contraint */ -/************************************************************************* -* This function assembles the graph into a single processor -**************************************************************************/ -GraphType *Moc_AssembleAdaptiveGraph(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, j, k, l, gnvtxs, nvtxs, ncon, gnedges, nedges, gsize; - idxtype *xadj, *vwgt, *vsize, *adjncy, *adjwgt, *vtxdist, *imap; - idxtype *axadj, *aadjncy, *aadjwgt, *avwgt, *avsize = NULL, *alabel; - idxtype *mygraph, *ggraph; - int *rcounts, *rdispls, mysize; - float *anvwgt; - GraphType *agraph; - - gnvtxs = graph->gnvtxs; - nvtxs = graph->nvtxs; - ncon = graph->ncon; - nedges = graph->xadj[nvtxs]; - xadj = graph->xadj; - vwgt = graph->vwgt; - vsize = graph->vsize; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - vtxdist = graph->vtxdist; - imap = graph->imap; - - /*************************************************************/ - /* Determine the # of idxtype to receive from each processor */ - /*************************************************************/ - rcounts = imalloc(ctrl->npes, "AssembleGraph: rcounts"); - switch (ctrl->partType) { - case STATIC_PARTITION: - mysize = (1+ncon)*nvtxs + 2*nedges; - break; - case ADAPTIVE_PARTITION: - case REFINE_PARTITION: - mysize = (2+ncon)*nvtxs + 2*nedges; - break; - default: - printf("WARNING: bad value for ctrl->partType %d\n", ctrl->partType); - break; - } - MPI_Allgather((void *)(&mysize), 1, MPI_INT, (void *)rcounts, 1, MPI_INT, ctrl->comm); - - rdispls = imalloc(ctrl->npes+1, "AssembleGraph: rdispls"); - rdispls[0] = 0; - for (i=1; i<ctrl->npes+1; i++) - rdispls[i] = rdispls[i-1] + rcounts[i-1]; - - /* Construct the one-array storage format of the assembled graph */ - mygraph = (mysize <= wspace->maxcore ? wspace->core : idxmalloc(mysize, "AssembleGraph: mygraph")); - for (k=i=0; i<nvtxs; i++) { - mygraph[k++] = xadj[i+1]-xadj[i]; - for (j=0; j<ncon; j++) - mygraph[k++] = vwgt[i*ncon+j]; - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) - mygraph[k++] = vsize[i]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - mygraph[k++] = imap[adjncy[j]]; - mygraph[k++] = adjwgt[j]; - } - } - ASSERT(ctrl, mysize == k); - - /**************************************/ - /* Assemble and send the entire graph */ - /**************************************/ - gsize = rdispls[ctrl->npes]; - ggraph = (gsize <= wspace->maxcore-mysize ? wspace->core+mysize : idxmalloc(gsize, "AssembleGraph: ggraph")); - MPI_Allgatherv((void *)mygraph, mysize, IDX_DATATYPE, (void *)ggraph, rcounts, rdispls, IDX_DATATYPE, ctrl->comm); - - GKfree((void **)&rcounts, (void **)&rdispls, LTERM); - if (mysize > wspace->maxcore) - free(mygraph); - - agraph = CreateGraph(); - agraph->nvtxs = gnvtxs; - switch (ctrl->partType) { - case STATIC_PARTITION: - agraph->nedges = gnedges = (gsize-(1+ncon)*gnvtxs)/2; - break; - case ADAPTIVE_PARTITION: - case REFINE_PARTITION: - agraph->nedges = gnedges = (gsize-(2+ncon)*gnvtxs)/2; - break; - default: - printf("WARNING: bad value for ctrl->partType %d\n", ctrl->partType); - agraph->nedges = gnedges = -1; - break; - } - - agraph->ncon = ncon; - - /*******************************************/ - /* Allocate memory for the assembled graph */ - /*******************************************/ - axadj = agraph->xadj = idxmalloc(gnvtxs+1, "AssembleGraph: axadj"); - avwgt = agraph->vwgt = idxmalloc(gnvtxs*ncon, "AssembleGraph: avwgt"); - anvwgt = agraph->nvwgt = fmalloc(gnvtxs*ncon, "AssembleGraph: anvwgt"); - aadjncy = agraph->adjncy = idxmalloc(gnedges, "AssembleGraph: adjncy"); - aadjwgt = agraph->adjwgt = idxmalloc(gnedges, "AssembleGraph: adjwgt"); - alabel = agraph->label = idxmalloc(gnvtxs, "AssembleGraph: alabel"); - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) - avsize = agraph->vsize = idxmalloc(gnvtxs, "AssembleGraph: avsize"); - - for (k=j=i=0; i<gnvtxs; i++) { - axadj[i] = ggraph[k++]; - for (l=0; l<ncon; l++) - avwgt[i*ncon+l] = ggraph[k++]; - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) - avsize[i] = ggraph[k++]; - for (l=0; l<axadj[i]; l++) { - aadjncy[j] = ggraph[k++]; - aadjwgt[j] = ggraph[k++]; - j++; - } - } - - /*********************************/ - /* Now fix up the received graph */ - /*********************************/ - MAKECSR(i, gnvtxs, axadj); - - for (i=0; i<gnvtxs; i++) - for (j=0; j<ncon; j++) - anvwgt[i*ncon+j] = (float)(agraph->vwgt[i*ncon+j]) / (float)(ctrl->tvwgts[j]); - - for (i=0; i<gnvtxs; i++) - alabel[i] = i; - - if (gsize > wspace->maxcore-mysize) - free(ggraph); - - return agraph; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initmsection.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initmsection.c deleted file mode 100644 index 63c7c35..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initmsection.c +++ /dev/null @@ -1,242 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * initmsection.c - * - * This file contains code that performs the k-way multisection - * - * Started 6/3/97 - * George - * - * $Id: initmsection.c,v 1.2 2003/07/21 17:18:49 karypis Exp $ - */ - -#include <parmetislib.h> - - -#define DEBUG_IPART_ - - - -/************************************************************************* -* This function is the entry point of the initial partitioning algorithm. -* This algorithm assembles the graph to all the processors and preceed -* serially. -**************************************************************************/ -void InitMultisection(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, lpecut[2], gpecut[2], mypart, moptions[10]; - idxtype *vtxdist, *gwhere = NULL, *part, *label; - GraphType *agraph; - int *sendcounts, *displs; - MPI_Comm newcomm, labelcomm; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - - /* Assemble the graph and do the necessary pre-processing */ - agraph = AssembleMultisectedGraph(ctrl, graph, wspace); - part = agraph->where; - agraph->where = NULL; - - /* Split the processors into groups so that each one can do a bisection */ - mypart = ctrl->mype%(ctrl->nparts/2); - MPI_Comm_split(ctrl->comm, mypart, 0, &newcomm); - - /* Each processor keeps the graphs that it only needs and bisects it */ - agraph->ncon = 1; /* needed for Moc_KeepPart */ - Moc_KeepPart(agraph, wspace, part, mypart); - label = agraph->label; /* Save this because ipart may need it */ - agraph->label = NULL; - - /* Bisect the graph and construct the separator */ - switch (ctrl->ipart) { - case ISEP_EDGE: - moptions[0] = 1; - moptions[1] = 3; - moptions[2] = 1; - moptions[3] = 1; - moptions[4] = 0; - moptions[7] = ctrl->mype; - - agraph->where = idxmalloc(agraph->nvtxs, "InitMultisection: agraph->where"); - - METIS_EdgeComputeSeparator(&agraph->nvtxs, agraph->xadj, agraph->adjncy, - agraph->vwgt, agraph->adjwgt, moptions, &agraph->mincut, agraph->where); - break; - case ISEP_NODE: - moptions[0] = 1; - moptions[1] = 3; - moptions[2] = 1; - moptions[3] = 2; - moptions[4] = 0; - moptions[7] = ctrl->mype; - - agraph->where = idxmalloc(agraph->nvtxs, "InitMultisection: agraph->where"); - - METIS_NodeComputeSeparator(&agraph->nvtxs, agraph->xadj, agraph->adjncy, agraph->vwgt, - agraph->adjwgt, moptions, &agraph->mincut, agraph->where); - break; - default: - errexit("Unknown ISEP type!\n"); - } - - for (i=0; i<agraph->nvtxs; i++) { - ASSERT(ctrl, agraph->where[i]>=0 && agraph->where[i]<=2); - if (agraph->where[i] == 2) - agraph->where[i] = ctrl->nparts+2*mypart; - else - agraph->where[i] += 2*mypart; - } - - /* Determine which PE got the minimum cut */ - lpecut[0] = agraph->mincut; - MPI_Comm_rank(newcomm, lpecut+1); - MPI_Allreduce(lpecut, gpecut, 1, MPI_2INT, MPI_MINLOC, newcomm); - - /* myprintf(ctrl, "Nvtxs: %d, Mincut: %d, GMincut: %d, %d\n", agraph->nvtxs, agraph->mincut, gpecut[0], gpecut[1]); */ - - /* Send the best where to the root processor of this partition */ - if (lpecut[1] == gpecut[1] && gpecut[1] != 0) - MPI_Send((void *)agraph->where, agraph->nvtxs, IDX_DATATYPE, 0, 1, newcomm); - if (lpecut[1] == 0 && gpecut[1] != 0) - MPI_Recv((void *)agraph->where, agraph->nvtxs, IDX_DATATYPE, gpecut[1], 1, newcomm, &ctrl->status); - - /* Create a communicator that stores all the i-th processors of the newcomm */ - MPI_Comm_split(ctrl->comm, lpecut[1], 0, &labelcomm); - - /* Map the separator back to agraph. This is inefficient! */ - if (lpecut[1] == 0) { - gwhere = idxsmalloc(graph->gnvtxs, 0, "InitMultisection: gwhere"); - for (i=0; i<agraph->nvtxs; i++) - gwhere[label[i]] = agraph->where[i]; - } - - free(agraph->where); - agraph->where = part; - - if (lpecut[1] == 0) { - MPI_Reduce((void *)gwhere, (void *)agraph->where, graph->gnvtxs, IDX_DATATYPE, MPI_SUM, 0, labelcomm); - free(gwhere); - } - - /* The minimum PE performs the Scatter */ - vtxdist = graph->vtxdist; - ASSERT(ctrl, graph->where != NULL); - free(graph->where); /* Remove the propagated down where info */ - graph->where = idxmalloc(graph->nvtxs+graph->nrecv, "InitPartition: where"); - - sendcounts = imalloc(ctrl->npes, "InitPartitionNew: sendcounts"); - displs = imalloc(ctrl->npes, "InitPartitionNew: displs"); - - for (i=0; i<ctrl->npes; i++) { - sendcounts[i] = vtxdist[i+1]-vtxdist[i]; - displs[i] = vtxdist[i]; - } - - MPI_Scatterv((void *)agraph->where, sendcounts, displs, IDX_DATATYPE, - (void *)graph->where, graph->nvtxs, IDX_DATATYPE, 0, ctrl->comm); - - GKfree((void **)&sendcounts, (void **)&displs, (void **)&label, LTERM); - - FreeGraph(agraph); - - MPI_Comm_free(&newcomm); - MPI_Comm_free(&labelcomm); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - -} - - - - -/************************************************************************* -* This function assembles the graph into a single processor -**************************************************************************/ -GraphType *AssembleMultisectedGraph(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, j, k, l, gnvtxs, nvtxs, gnedges, nedges, gsize; - idxtype *xadj, *vwgt, *where, *adjncy, *adjwgt, *vtxdist, *imap; - idxtype *axadj, *aadjncy, *aadjwgt, *avwgt, *awhere, *alabel; - idxtype *mygraph, *ggraph; - int *recvcounts, *displs, mysize; - GraphType *agraph; - - gnvtxs = graph->gnvtxs; - nvtxs = graph->nvtxs; - nedges = graph->xadj[nvtxs]; - xadj = graph->xadj; - vwgt = graph->vwgt; - where = graph->where; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - vtxdist = graph->vtxdist; - imap = graph->imap; - - /* Determine the # of idxtype to receive from each processor */ - recvcounts = imalloc(ctrl->npes, "AssembleGraph: recvcounts"); - mysize = 3*nvtxs + 2*nedges; - MPI_Allgather((void *)(&mysize), 1, MPI_INT, (void *)recvcounts, 1, MPI_INT, ctrl->comm); - - displs = imalloc(ctrl->npes+1, "AssembleGraph: displs"); - displs[0] = 0; - for (i=1; i<ctrl->npes+1; i++) - displs[i] = displs[i-1] + recvcounts[i-1]; - - /* Construct the one-array storage format of the assembled graph */ - mygraph = (mysize <= wspace->maxcore ? wspace->core : idxmalloc(mysize, "AssembleGraph: mygraph")); - for (k=i=0; i<nvtxs; i++) { - mygraph[k++] = xadj[i+1]-xadj[i]; - mygraph[k++] = vwgt[i]; - mygraph[k++] = where[i]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - mygraph[k++] = imap[adjncy[j]]; - mygraph[k++] = adjwgt[j]; - } - } - ASSERT(ctrl, mysize == k); - - /* Assemble the entire graph */ - gsize = displs[ctrl->npes]; - ggraph = (gsize <= wspace->maxcore-mysize ? wspace->core+mysize : idxmalloc(gsize, "AssembleGraph: ggraph")); - MPI_Allgatherv((void *)mygraph, mysize, IDX_DATATYPE, (void *)ggraph, recvcounts, displs, IDX_DATATYPE, ctrl->comm); - - GKfree((void **)&recvcounts, (void **)&displs, LTERM); - if (mysize > wspace->maxcore) - free(mygraph); - - agraph = CreateGraph(); - agraph->nvtxs = gnvtxs; - agraph->nedges = gnedges = (gsize-3*gnvtxs)/2; - - /* Allocate memory for the assembled graph */ - axadj = agraph->xadj = idxmalloc(gnvtxs+1, "AssembleGraph: axadj"); - avwgt = agraph->vwgt = idxmalloc(gnvtxs, "AssembleGraph: avwgt"); - awhere = agraph->where = idxmalloc(gnvtxs, "AssembleGraph: awhere"); - aadjncy = agraph->adjncy = idxmalloc(gnedges, "AssembleGraph: adjncy"); - aadjwgt = agraph->adjwgt = idxmalloc(gnedges, "AssembleGraph: adjwgt"); - alabel = agraph->label = idxmalloc(gnvtxs, "AssembleGraph: alabel"); - - for (k=j=i=0; i<gnvtxs; i++) { - axadj[i] = ggraph[k++]; - avwgt[i] = ggraph[k++]; - awhere[i] = ggraph[k++]; - for (l=0; l<axadj[i]; l++) { - aadjncy[j] = ggraph[k++]; - aadjwgt[j] = ggraph[k++]; - j++; - } - } - - /* Now fix up the received graph */ - MAKECSR(i, gnvtxs, axadj); - - for (i=0; i<gnvtxs; i++) - alabel[i] = i; - - if (gsize > wspace->maxcore-mysize) - free(ggraph); - - return agraph; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initpart.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initpart.c deleted file mode 100644 index 40b8d95..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/initpart.c +++ /dev/null @@ -1,252 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * initpart.c - * - * This file contains code that performs log(p) parallel multilevel - * recursive bissection - * - * Started 3/4/96 - * George - * - * $Id: initpart.c,v 1.2 2003/07/21 17:18:49 karypis Exp $ - */ - -#include <parmetislib.h> - - -#define DEBUG_IPART_ - - - -/************************************************************************* -* This function is the entry point of the initial partition algorithm -* that does recursive bissection. -* This algorithm assembles the graph to all the processors and preceeds -* by parallelizing the recursive bisection step. -**************************************************************************/ -void Moc_InitPartition_RB(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, j; - int ncon, mype, npes, gnvtxs, ngroups; - idxtype *xadj, *adjncy, *adjwgt, *vwgt; - idxtype *part, *gwhere0, *gwhere1; - idxtype *tmpwhere, *tmpvwgt, *tmpxadj, *tmpadjncy, *tmpadjwgt; - GraphType *agraph; - int lnparts, fpart, fpe, lnpes; - int twoparts=2, numflag = 0, wgtflag = 3, moptions[10], edgecut, max_cut; - float *mytpwgts, mytpwgts2[2], lbvec[MAXNCON], lbsum, min_lbsum, wsum; - MPI_Comm ipcomm; - struct { - float sum; - int rank; - } lpesum, gpesum; - - ncon = graph->ncon; - ngroups = amax(amin(RIP_SPLIT_FACTOR, ctrl->npes), 1); - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); - - agraph = Moc_AssembleAdaptiveGraph(ctrl, graph, wspace); - part = idxmalloc(agraph->nvtxs, "Moc_IP_RB: part"); - xadj = idxmalloc(agraph->nvtxs+1, "Moc_IP_RB: xadj"); - adjncy = idxmalloc(agraph->nedges, "Moc_IP_RB: adjncy"); - adjwgt = idxmalloc(agraph->nedges, "Moc_IP_RB: adjwgt"); - vwgt = idxmalloc(agraph->nvtxs*ncon, "Moc_IP_RB: vwgt"); - - idxcopy(agraph->nvtxs*ncon, agraph->vwgt, vwgt); - idxcopy(agraph->nvtxs+1, agraph->xadj, xadj); - idxcopy(agraph->nedges, agraph->adjncy, adjncy); - idxcopy(agraph->nedges, agraph->adjwgt, adjwgt); - - MPI_Comm_split(ctrl->gcomm, ctrl->mype % ngroups, 0, &ipcomm); - MPI_Comm_rank(ipcomm, &mype); - MPI_Comm_size(ipcomm, &npes); - - gnvtxs = agraph->nvtxs; - - gwhere0 = idxsmalloc(gnvtxs, 0, "Moc_IP_RB: gwhere0"); - gwhere1 = idxmalloc(gnvtxs, "Moc_IP_RB: gwhere1"); - - /* ADD: this assumes that tpwgts for all constraints is the same */ - /* ADD: this is necessary because serial metis does not support the general case */ - mytpwgts = fsmalloc(ctrl->nparts, 0.0, "mytpwgts"); - for (i=0; i<ctrl->nparts; i++) - for (j=0; j<ncon; j++) - mytpwgts[i] += ctrl->tpwgts[i*ncon+j]; - for (i=0; i<ctrl->nparts; i++) - mytpwgts[i] /= (float)ncon; - - /* Go into the recursive bisection */ - /* ADD: consider changing this to breadth-first type bisection */ - moptions[0] = 0; - moptions[7] = ctrl->sync + (ctrl->mype % ngroups) + 1; - - lnparts = ctrl->nparts; - fpart = fpe = 0; - lnpes = npes; - while (lnpes > 1 && lnparts > 1) { - /* Determine the weights of the partitions */ - mytpwgts2[0] = ssum(lnparts/2, mytpwgts+fpart); - mytpwgts2[1] = 1.0-mytpwgts2[0]; - - if (ncon == 1) - METIS_WPartGraphKway2(&agraph->nvtxs, agraph->xadj, agraph->adjncy, - agraph->vwgt, agraph->adjwgt, &wgtflag, &numflag, &twoparts, mytpwgts2, - moptions, &edgecut, part); - else { - METIS_mCPartGraphRecursive2(&agraph->nvtxs, &ncon, agraph->xadj, - agraph->adjncy, agraph->vwgt, agraph->adjwgt, &wgtflag, &numflag, - &twoparts, mytpwgts2, moptions, &edgecut, part); - } - - wsum = ssum(lnparts/2, mytpwgts+fpart); - sscale(lnparts/2, 1.0/wsum, mytpwgts+fpart); - sscale(lnparts-lnparts/2, 1.0/(1.0-wsum), mytpwgts+fpart+lnparts/2); - - /* I'm picking the left branch */ - if (mype < fpe+lnpes/2) { - Moc_KeepPart(agraph, wspace, part, 0); - lnpes = lnpes/2; - lnparts = lnparts/2; - } - else { - Moc_KeepPart(agraph, wspace, part, 1); - fpart = fpart + lnparts/2; - fpe = fpe + lnpes/2; - lnpes = lnpes - lnpes/2; - lnparts = lnparts - lnparts/2; - } - } - - /* In case npes is greater than or equal to nparts */ - if (lnparts == 1) { - /* Only the first process will assign labels (for the reduction to work) */ - if (mype == fpe) { - for (i=0; i<agraph->nvtxs; i++) - gwhere0[agraph->label[i]] = fpart; - } - } - /* In case npes is smaller than nparts */ - else { - if (ncon == 1) - METIS_WPartGraphKway2(&agraph->nvtxs, agraph->xadj, agraph->adjncy, - agraph->vwgt, agraph->adjwgt, &wgtflag, &numflag, &lnparts, mytpwgts+fpart, - moptions, &edgecut, part); - else - METIS_mCPartGraphRecursive2(&agraph->nvtxs, &ncon, agraph->xadj, - agraph->adjncy, agraph->vwgt, agraph->adjwgt, &wgtflag, &numflag, - &lnparts, mytpwgts+fpart, moptions, &edgecut, part); - - for (i=0; i<agraph->nvtxs; i++) - gwhere0[agraph->label[i]] = fpart + part[i]; - } - - MPI_Allreduce((void *)gwhere0, (void *)gwhere1, gnvtxs, IDX_DATATYPE, MPI_SUM, ipcomm); - - if (ngroups > 1) { - tmpxadj = agraph->xadj; - tmpadjncy = agraph->adjncy; - tmpadjwgt = agraph->adjwgt; - tmpvwgt = agraph->vwgt; - tmpwhere = agraph->where; - agraph->xadj = xadj; - agraph->adjncy = adjncy; - agraph->adjwgt = adjwgt; - agraph->vwgt = vwgt; - agraph->where = gwhere1; - agraph->vwgt = vwgt; - agraph->nvtxs = gnvtxs; - Moc_ComputeSerialBalance(ctrl, agraph, gwhere1, lbvec); - lbsum = ssum(ncon, lbvec); - - edgecut = ComputeSerialEdgeCut(agraph); - MPI_Allreduce((void *)&edgecut, (void *)&max_cut, 1, MPI_INT, MPI_MAX, ctrl->gcomm); - MPI_Allreduce((void *)&lbsum, (void *)&min_lbsum, 1, MPI_FLOAT, MPI_MIN, ctrl->gcomm); - - lpesum.sum = lbsum; - if (min_lbsum < UNBALANCE_FRACTION * (float)(ncon)) { - if (lbsum < UNBALANCE_FRACTION * (float)(ncon)) - lpesum.sum = (float) (edgecut); - else - lpesum.sum = (float) (max_cut); - } - - MPI_Comm_rank(ctrl->gcomm, &(lpesum.rank)); - MPI_Allreduce((void *)&lpesum, (void *)&gpesum, 1, MPI_FLOAT_INT, MPI_MINLOC, ctrl->gcomm); - MPI_Bcast((void *)gwhere1, gnvtxs, IDX_DATATYPE, gpesum.rank, ctrl->gcomm); - - agraph->xadj = tmpxadj; - agraph->adjncy = tmpadjncy; - agraph->adjwgt = tmpadjwgt; - agraph->vwgt = tmpvwgt; - agraph->where = tmpwhere; - } - - idxcopy(graph->nvtxs, gwhere1+graph->vtxdist[ctrl->mype], graph->where); - - FreeGraph(agraph); - MPI_Comm_free(&ipcomm); - GKfree((void **)&gwhere0, (void **)&gwhere1, (void **)&mytpwgts, (void **)&part, (void **)&xadj, (void **)&adjncy, (void **)&adjwgt, (void **)&vwgt, LTERM); - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr)); - -} - - -/************************************************************************* -* This function keeps one parts -**************************************************************************/ -void Moc_KeepPart(GraphType *graph, WorkSpaceType *wspace, idxtype *part, int mypart) -{ - int h, i, j, k; - int nvtxs, ncon, mynvtxs, mynedges; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *label; - idxtype *rename; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - label = graph->label; - - rename = idxmalloc(nvtxs, "Moc_KeepPart: rename"); - - for (mynvtxs=0, i=0; i<nvtxs; i++) { - if (part[i] == mypart) - rename[i] = mynvtxs++; - } - - for (mynvtxs=0, mynedges=0, j=xadj[0], i=0; i<nvtxs; i++) { - if (part[i] == mypart) { - for (; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (part[k] == mypart) { - adjncy[mynedges] = rename[k]; - adjwgt[mynedges++] = adjwgt[j]; - } - } - j = xadj[i+1]; /* Save xadj[i+1] for later use */ - - for (h=0; h<ncon; h++) - vwgt[mynvtxs*ncon+h] = vwgt[i*ncon+h]; - label[mynvtxs] = label[i]; - xadj[++mynvtxs] = mynedges; - - } - else { - j = xadj[i+1]; /* Save xadj[i+1] for later use */ - } - } - - graph->nvtxs = mynvtxs; - graph->nedges = mynedges; - - free(rename); -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kmetis.c deleted file mode 100644 index 2ad20e3..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kmetis.c +++ /dev/null @@ -1,274 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * kmetis.c - * - * This is the entry point of Moc_PARMETIS_PartGraphKway - * - * Started 10/19/96 - * George - * - * $Id: kmetis.c,v 1.9 2003/07/31 16:27:27 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/*********************************************************************************** -* This function is the entry point of the parallel k-way multilevel partitionioner. -* This function assumes nothing about the graph distribution. -* It is the general case. -************************************************************************************/ -void ParMETIS_V3_PartKway(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *ncon, int *nparts, - float *tpwgts, float *ubvec, int *options, int *edgecut, idxtype *part, - MPI_Comm *comm) -{ - int h, i; - int nvtxs = -1, npes, mype; - CtrlType ctrl; - WorkSpaceType wspace; - GraphType *graph; - float avg, maximb, *mytpwgts; - int moptions[10]; - int seed, dbglvl = 0; - int iwgtflag, inumflag, incon, inparts, ioptions[10]; - float *itpwgts, iubvec[MAXNCON]; - - MPI_Comm_size(*comm, &npes); - MPI_Comm_rank(*comm, &mype); - - - /********************************/ - /* Try and take care bad inputs */ - /********************************/ - if (options != NULL && options[0] == 1) - dbglvl = options[PMV3_OPTION_DBGLVL]; - - CheckInputs(STATIC_PARTITION, npes, dbglvl, wgtflag, &iwgtflag, numflag, &inumflag, ncon, - &incon, nparts, &inparts, tpwgts, &itpwgts, ubvec, iubvec, NULL, NULL, - options, ioptions, part, comm); - - - /*********************************/ - /* Take care the nparts = 1 case */ - /*********************************/ - if (inparts <= 1) { - idxset(vtxdist[mype+1]-vtxdist[mype], 0, part); - *edgecut = 0; - return; - } - - /******************************/ - /* Take care of npes = 1 case */ - /******************************/ - if (npes == 1 && inparts > 1) { - moptions[0] = 0; - nvtxs = vtxdist[1]; - - if (incon == 1) { - METIS_WPartGraphKway(&nvtxs, xadj, adjncy, vwgt, adjwgt, &iwgtflag, &inumflag, - &inparts, itpwgts, moptions, edgecut, part); - } - else { - /* ADD: this is because METIS does not support tpwgts for all constraints */ - mytpwgts = fmalloc(inparts, "mytpwgts"); - for (i=0; i<inparts; i++) - mytpwgts[i] = itpwgts[i*incon]; - - moptions[7] = -1; - METIS_mCPartGraphRecursive2(&nvtxs, &incon, xadj, adjncy, vwgt, adjwgt, &iwgtflag, - &inumflag, &inparts, mytpwgts, moptions, edgecut, part); - - free(mytpwgts); - } - - return; - } - - - if (inumflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 1); - - /*****************************/ - /* Set up control structures */ - /*****************************/ - if (ioptions[0] == 1) { - dbglvl = ioptions[PMV3_OPTION_DBGLVL]; - seed = ioptions[PMV3_OPTION_SEED]; - } - else { - dbglvl = GLOBAL_DBGLVL; - seed = GLOBAL_SEED; - } - SetUpCtrl(&ctrl, inparts, dbglvl, *comm); - ctrl.CoarsenTo = amin(vtxdist[npes]+1, 25*incon*amax(npes, inparts)); - ctrl.seed = (seed == 0) ? mype : seed*mype; - ctrl.sync = GlobalSEMax(&ctrl, seed); - ctrl.partType = STATIC_PARTITION; - ctrl.ps_relation = -1; - ctrl.tpwgts = itpwgts; - scopy(incon, iubvec, ctrl.ubvec); - - graph = Moc_SetUpGraph(&ctrl, incon, vtxdist, xadj, vwgt, adjncy, adjwgt, &iwgtflag); - - PreAllocateMemory(&ctrl, graph, &wspace); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - /*******************************************/ - /* Check for funny cases */ - /* -graph with no edges */ - /* -graph with self edges */ - /* -graph with poor vertex distribution */ - /* -graph with less than 2*npe nodes */ - /*******************************************/ - if (vtxdist[npes] < SMALLGRAPH || vtxdist[npes] < npes*20 || GlobalSESum(&ctrl, graph->nedges) == 0) { - IFSET(ctrl.dbglvl, DBG_INFO, rprintf(&ctrl, "Partitioning a graph of size %d serially\n", vtxdist[npes])); - PartitionSmallGraph(&ctrl, graph, &wspace); - } - else { - /***********************/ - /* Partition the graph */ - /***********************/ - Moc_Global_Partition(&ctrl, graph, &wspace); - ParallelReMapGraph(&ctrl, graph, &wspace); - } - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - - idxcopy(graph->nvtxs, graph->where, part); - *edgecut = graph->mincut; - - /*******************/ - /* Print out stats */ - /*******************/ - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - - if (ctrl.dbglvl&DBG_INFO) { - rprintf(&ctrl, "Final %d-way CUT: %6d \tBalance: ", inparts, graph->mincut); - avg = 0.0; - for (h=0; h<incon; h++) { - maximb = 0.0; - for (i=0; i<inparts; i++) - maximb = amax(maximb, graph->gnpwgts[i*incon+h]/itpwgts[i*incon+h]); - avg += maximb; - rprintf(&ctrl, "%.3f ", maximb); - } - rprintf(&ctrl, " avg: %.3f\n", avg/(float)incon); - } - - GKfree((void **)&itpwgts, (void **)&graph->lnpwgts, (void **)&graph->gnpwgts, (void **)&graph->nvwgt, LTERM); - FreeInitialGraphAndRemap(graph, iwgtflag); - FreeWSpace(&wspace); - FreeCtrl(&ctrl); - - if (inumflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 0); - -} - - - -/************************************************************************* -* This function is the driver to the multi-constraint partitioning algorithm. -**************************************************************************/ -void Moc_Global_Partition(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, ncon, nparts; - float ftmp, ubavg, lbavg, lbvec[MAXNCON]; - - ncon = graph->ncon; - nparts = ctrl->nparts; - ubavg = savg(graph->ncon, ctrl->ubvec); - - SetUp(ctrl, graph, wspace); - - if (ctrl->dbglvl&DBG_PROGRESS) { - rprintf(ctrl, "[%6d %8d %5d %5d] [%d] [", graph->gnvtxs, GlobalSESum(ctrl, graph->nedges), - GlobalSEMin(ctrl, graph->nvtxs), GlobalSEMax(ctrl, graph->nvtxs), ctrl->CoarsenTo); - for (i=0; i<ncon; i++) - rprintf(ctrl, " %.3f", GlobalSEMinFloat(ctrl,graph->nvwgt[samin_strd(graph->nvtxs, graph->nvwgt+i, ncon)*ncon+i])); - rprintf(ctrl, "] ["); - for (i=0; i<ncon; i++) - rprintf(ctrl, " %.3f", GlobalSEMaxFloat(ctrl, graph->nvwgt[samax_strd(graph->nvtxs, graph->nvwgt+i, ncon)*ncon+i])); - rprintf(ctrl, "]\n"); - } - - if (graph->gnvtxs < 1.3*ctrl->CoarsenTo || - (graph->finer != NULL && - graph->gnvtxs > graph->finer->gnvtxs*COARSEN_FRACTION)) { - - /* Done with coarsening. Find a partition */ - graph->where = idxmalloc(graph->nvtxs+graph->nrecv, "graph->where"); - Moc_InitPartition_RB(ctrl, graph, wspace); - - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, balance: ", graph->gnvtxs); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - - /* In case no coarsening took place */ - if (graph->finer == NULL) { - Moc_ComputePartitionParams(ctrl, graph, wspace); - Moc_KWayFM(ctrl, graph, wspace, NGR_PASSES); - } - } - else { - Moc_GlobalMatch_Balance(ctrl, graph, wspace); - - Moc_Global_Partition(ctrl, graph->coarser, wspace); - - Moc_ProjectPartition(ctrl, graph, wspace); - Moc_ComputePartitionParams(ctrl, graph, wspace); - - if (graph->ncon > 1 && graph->level < 3) { - for (i=0; i<ncon; i++) { - ftmp = ssum_strd(nparts, graph->gnpwgts+i, ncon); - if (ftmp != 0.0) - lbvec[i] = (float)(nparts) * - graph->gnpwgts[samax_strd(nparts, graph->gnpwgts+i, ncon)*ncon+i]/ftmp; - else - lbvec[i] = 1.0; - } - lbavg = savg(graph->ncon, lbvec); - - if (lbavg > ubavg + 0.035) { - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, cut: %8d, balance: ", graph->gnvtxs, graph->mincut); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - - Moc_KWayBalance(ctrl, graph, wspace, graph->ncon); - } - } - - Moc_KWayFM(ctrl, graph, wspace, NGR_PASSES); - - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, cut: %8d, balance: ", graph->gnvtxs, graph->mincut); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - - if (graph->level != 0) - GKfree((void **)&graph->lnpwgts, (void **)&graph->gnpwgts, LTERM); - } - - return; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwaybalance.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwaybalance.c deleted file mode 100644 index 003ec7c..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwaybalance.c +++ /dev/null @@ -1,456 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mkwaybalance.c - * - * This file contains code that performs the k-way refinement - * - * Started 3/1/96 - * George - * - * $Id: kwaybalance.c,v 1.2 2003/07/21 17:18:49 karypis Exp $ - */ - -#include <parmetislib.h> - -#define ProperSide(c, from, other) \ - (((c) == 0 && (from)-(other) < 0) || ((c) == 1 && (from)-(other) > 0)) - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Moc_KWayBalance(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace, int npasses) -{ - int h, i, ii, iii, j, k, c; - int pass, nvtxs, nedges, ncon; - int nmoves, nmoved, nswaps; -/* int gnswaps; */ - int me, firstvtx, lastvtx, yourlastvtx; - int from, to = -1, oldto, oldcut, mydomain, yourdomain, imbalanced; - int npes = ctrl->npes, mype = ctrl->mype, nparts = ctrl->nparts; - int nlupd, nsupd, nnbrs, nchanged; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist; - idxtype *where, *tmp_where, *moved; - float *lnpwgts, *gnpwgts; - idxtype *update, *supdate, *rupdate, *pe_updates; - idxtype *changed, *perm, *pperm, *htable; - idxtype *peind, *recvptr, *sendptr; - KeyValueType *swchanges, *rwchanges; - RInfoType *rinfo, *myrinfo, *tmp_myrinfo, *tmp_rinfo; - EdgeType *tmp_edegrees, *my_edegrees, *your_edegrees; - float lbvec[MAXNCON], *nvwgt, *badmaxpwgt, *ubvec, *tpwgts, lbavg, ubavg; - int *nupds_pe; -/* int ndirty, nclean, dptr; */ - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->KWayTmr)); - - /*************************/ - /* set up common aliases */ - /*************************/ - nvtxs = graph->nvtxs; - nedges = graph->nedges; - ncon = graph->ncon; - - vtxdist = graph->vtxdist; - xadj = graph->xadj; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - firstvtx = vtxdist[mype]; - lastvtx = vtxdist[mype+1]; - - where = graph->where; - rinfo = graph->rinfo; - lnpwgts = graph->lnpwgts; - gnpwgts = graph->gnpwgts; - ubvec = ctrl->ubvec; - tpwgts = ctrl->tpwgts; - - nnbrs = graph->nnbrs; - peind = graph->peind; - recvptr = graph->recvptr; - sendptr = graph->sendptr; - - changed = idxmalloc(nvtxs, "KWR: changed"); - rwchanges = wspace->pairs; - swchanges = rwchanges + recvptr[nnbrs]; - - /************************************/ - /* set up important data structures */ - /************************************/ - perm = idxmalloc(nvtxs, "KWR: perm"); - pperm = idxmalloc(nparts, "KWR: pperm"); - - update = idxmalloc(nvtxs, "KWR: update"); - supdate = wspace->indices; - rupdate = supdate + recvptr[nnbrs]; - nupds_pe = imalloc(npes, "KWR: nupds_pe"); - htable = idxsmalloc(nvtxs+graph->nrecv, 0, "KWR: lhtable"); - badmaxpwgt = fmalloc(nparts*ncon, "badmaxpwgt"); - - for (i=0; i<nparts; i++) { - for (h=0; h<ncon; h++) { - badmaxpwgt[i*ncon+h] = ubvec[h]*tpwgts[i*ncon+h]; - } - } - - moved = idxmalloc(nvtxs, "KWR: moved"); - tmp_where = idxmalloc(nvtxs+graph->nrecv, "KWR: tmp_where"); - tmp_rinfo = (RInfoType *)GKmalloc(sizeof(RInfoType)*nvtxs, "KWR: tmp_rinfo"); - tmp_edegrees = (EdgeType *)GKmalloc(sizeof(EdgeType)*nedges, "KWR: tmp_edegrees"); - - idxcopy(nvtxs+graph->nrecv, where, tmp_where); - for (i=0; i<nvtxs; i++) { - tmp_rinfo[i].id = rinfo[i].id; - tmp_rinfo[i].ed = rinfo[i].ed; - tmp_rinfo[i].ndegrees = rinfo[i].ndegrees; - tmp_rinfo[i].degrees = tmp_edegrees+xadj[i]; - - for (j=0; j<rinfo[i].ndegrees; j++) { - tmp_rinfo[i].degrees[j].edge = rinfo[i].degrees[j].edge; - tmp_rinfo[i].degrees[j].ewgt = rinfo[i].degrees[j].ewgt; - } - } - - nswaps = 0; - /*********************************************************/ - /* perform a small number of passes through the vertices */ - /*********************************************************/ - for (pass=0; pass<npasses; pass++) { - oldcut = graph->mincut; - if (mype == 0) - RandomPermute(nparts, pperm, 1); - MPI_Bcast((void *)pperm, nparts, IDX_DATATYPE, 0, ctrl->comm); - FastRandomPermute(nvtxs, perm, 1); - - /*****************************/ - /* move dirty vertices first */ - /*****************************/ -/* - ndirty = 0; - for (i=0; i<nvtxs; i++) - if (where[i] != mype) - ndirty++; - - dptr = 0; - for (i=0; i<nvtxs; i++) - if (where[i] != mype) - perm[dptr++] = i; - else - perm[ndirty++] = i; - - ASSERT(ctrl, ndirty == nvtxs); - ndirty = dptr; - nclean = nvtxs-dptr; - FastRandomPermute(ndirty, perm, 0); - FastRandomPermute(nclean, perm+ndirty, 0); -*/ - - /* check to see if the partitioning is imbalanced */ - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - ubavg = savg(ncon, ubvec); - lbavg = savg(ncon, lbvec); - imbalanced = (lbavg > ubavg) ? 1 : 0; - - for (c=0; c<2; c++) { - nmoved = 0; - - /**********************************************/ - /* PASS ONE -- record stats for desired moves */ - /**********************************************/ - for (iii=0; iii<nvtxs; iii++) { - i = perm[iii]; - from = tmp_where[i]; - nvwgt = graph->nvwgt+i*ncon; - - for (h=0; h<ncon; h++) - if (fabs(nvwgt[h]-gnpwgts[from*ncon+h]) < SMALLFLOAT) - break; - - if (h < ncon) { - continue; - } - - /* check for a potential improvement */ - if (tmp_rinfo[i].ed >= tmp_rinfo[i].id) { - my_edegrees = tmp_rinfo[i].degrees; - - for (k=0; k<tmp_rinfo[i].ndegrees; k++) { - to = my_edegrees[k].edge; - if (ProperSide(c, pperm[from], pperm[to]) && - IsHBalanceBetterFT(ncon, gnpwgts+from*ncon, gnpwgts+to*ncon, nvwgt, ubvec)) { - break; - } - } - oldto = to; - - /* check if a subdomain was found that fits */ - if (k < tmp_rinfo[i].ndegrees) { - for (j=k+1; j<tmp_rinfo[i].ndegrees; j++) { - to = my_edegrees[j].edge; - if (ProperSide(c, pperm[from], pperm[to]) && - IsHBalanceBetterTT(ncon, gnpwgts+oldto*ncon, gnpwgts+to*ncon, nvwgt, ubvec)){ - k = j; - oldto = my_edegrees[k].edge; - } - } - to = oldto; - - if (iii % npes == 0) { - /****************************************/ - /* Update tmp arrays of the moved vertex */ - /****************************************/ - tmp_where[i] = to; - moved[nmoved++] = i; - for (h=0; h<ncon; h++) { - lnpwgts[to*ncon+h] += nvwgt[h]; - lnpwgts[from*ncon+h] -= nvwgt[h]; - gnpwgts[to*ncon+h] += nvwgt[h]; - gnpwgts[from*ncon+h] -= nvwgt[h]; - } - - tmp_rinfo[i].ed += tmp_rinfo[i].id-my_edegrees[k].ewgt; - SWAP(tmp_rinfo[i].id, my_edegrees[k].ewgt, j); - if (my_edegrees[k].ewgt == 0) { - tmp_rinfo[i].ndegrees--; - my_edegrees[k].edge = my_edegrees[tmp_rinfo[i].ndegrees].edge; - my_edegrees[k].ewgt = my_edegrees[tmp_rinfo[i].ndegrees].ewgt; - } - else { - my_edegrees[k].edge = from; - } - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - /* no need to bother about vertices on different pe's */ - if (ladjncy[j] >= nvtxs) - continue; - - me = ladjncy[j]; - mydomain = tmp_where[me]; - - myrinfo = tmp_rinfo+me; - your_edegrees = myrinfo->degrees; - - if (mydomain == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - } - else { - if (mydomain == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - } - } - - /* Remove contribution from the .ed of 'from' */ - if (mydomain != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == from) { - if (your_edegrees[k].ewgt == adjwgt[j]) { - myrinfo->ndegrees--; - your_edegrees[k].edge = your_edegrees[myrinfo->ndegrees].edge; - your_edegrees[k].ewgt = your_edegrees[myrinfo->ndegrees].ewgt; - } - else { - your_edegrees[k].ewgt -= adjwgt[j]; - } - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (mydomain != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == to) { - your_edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - your_edegrees[myrinfo->ndegrees].edge = to; - your_edegrees[myrinfo->ndegrees++].ewgt = adjwgt[j]; - } - } - } - } - } - } - } - - /*************************************************/ - /* PASS TWO -- commit the remainder of the moves */ - /*************************************************/ - nlupd = nsupd = nmoves = nchanged = 0; - for (iii=0; iii<nmoved; iii++) { - i = moved[iii]; - if (i == -1) - continue; - - where[i] = tmp_where[i]; - - /* Make sure to update the vertex information */ - if (htable[i] == 0) { - /* make sure you do the update */ - htable[i] = 1; - update[nlupd++] = i; - } - - /* Put the vertices adjacent to i into the update array */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = ladjncy[j]; - if (htable[k] == 0) { - htable[k] = 1; - if (k<nvtxs) - update[nlupd++] = k; - else - supdate[nsupd++] = k; - } - } - nmoves++; - nswaps++; - - /* check number of zero-gain moves */ - for (k=0; k<rinfo[i].ndegrees; k++) - if (rinfo[i].degrees[k].edge == to) - break; - - if (graph->pexadj[i+1]-graph->pexadj[i] > 0) - changed[nchanged++] = i; - } - - /* Tell interested pe's the new where[] info for the interface vertices */ - CommChangedInterfaceData(ctrl, graph, nchanged, changed, where, - swchanges, rwchanges, wspace->pv4); - - - IFSET(ctrl->dbglvl, DBG_RMOVEINFO, - rprintf(ctrl, "\t[%d %d], [%.4f], [%d %d %d]\n", - pass, c, badmaxpwgt[0], - GlobalSESum(ctrl, nmoves), - GlobalSESum(ctrl, nsupd), - GlobalSESum(ctrl, nlupd))); - - /*------------------------------------------------------------- - / Time to communicate with processors to send the vertices - / whose degrees need to be update. - /-------------------------------------------------------------*/ - /* Issue the receives first */ - for (i=0; i<nnbrs; i++) { - MPI_Irecv((void *)(rupdate+sendptr[i]), sendptr[i+1]-sendptr[i], IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - /* Issue the sends next. This needs some preporcessing */ - for (i=0; i<nsupd; i++) { - htable[supdate[i]] = 0; - supdate[i] = graph->imap[supdate[i]]; - } - iidxsort(nsupd, supdate); - - for (j=i=0; i<nnbrs; i++) { - yourlastvtx = vtxdist[peind[i]+1]; - for (k=j; k<nsupd && supdate[k] < yourlastvtx; k++); - MPI_Isend((void *)(supdate+j), k-j, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - j = k; - } - - /* OK, now get into the loop waiting for the send/recv operations to finish */ - MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); - for (i=0; i<nnbrs; i++) - MPI_Get_count(ctrl->statuses+i, IDX_DATATYPE, nupds_pe+i); - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); - - - /*------------------------------------------------------------- - / Place the recieved to-be updated vertices into update[] - /-------------------------------------------------------------*/ - for (i=0; i<nnbrs; i++) { - pe_updates = rupdate+sendptr[i]; - for (j=0; j<nupds_pe[i]; j++) { - k = pe_updates[j]; - if (htable[k-firstvtx] == 0) { - htable[k-firstvtx] = 1; - update[nlupd++] = k-firstvtx; - } - } - } - - - /*------------------------------------------------------------- - / Update the rinfo of the vertices in the update[] array - /-------------------------------------------------------------*/ - for (ii=0; ii<nlupd; ii++) { - i = update[ii]; - ASSERT(ctrl, htable[i] == 1); - - htable[i] = 0; - - mydomain = where[i]; - myrinfo = rinfo+i; - tmp_myrinfo = tmp_rinfo+i; - my_edegrees = myrinfo->degrees; - your_edegrees = tmp_myrinfo->degrees; - - graph->lmincut -= myrinfo->ed; - myrinfo->ndegrees = 0; - myrinfo->id = 0; - myrinfo->ed = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - yourdomain = where[ladjncy[j]]; - if (mydomain != yourdomain) { - myrinfo->ed += adjwgt[j]; - - for (k=0; k<myrinfo->ndegrees; k++) { - if (my_edegrees[k].edge == yourdomain) { - my_edegrees[k].ewgt += adjwgt[j]; - your_edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - my_edegrees[k].edge = yourdomain; - my_edegrees[k].ewgt = adjwgt[j]; - your_edegrees[k].edge = yourdomain; - your_edegrees[k].ewgt = adjwgt[j]; - myrinfo->ndegrees++; - } - ASSERT(ctrl, myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - ASSERT(ctrl, tmp_myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - - } - else { - myrinfo->id += adjwgt[j]; - } - } - graph->lmincut += myrinfo->ed; - - tmp_myrinfo->id = myrinfo->id; - tmp_myrinfo->ed = myrinfo->ed; - tmp_myrinfo->ndegrees = myrinfo->ndegrees; - } - - /* finally, sum-up the partition weights */ - MPI_Allreduce((void *)lnpwgts, (void *)gnpwgts, nparts*ncon, - MPI_FLOAT, MPI_SUM, ctrl->comm); - } - graph->mincut = GlobalSESum(ctrl, graph->lmincut)/2; - - if (graph->mincut == oldcut) - break; - } - -/* - gnswaps = GlobalSESum(ctrl, nswaps); - if (mype == 0) - printf("niters: %d, nswaps: %d\n", pass+1, gnswaps); -*/ - - GKfree((void **)&badmaxpwgt, (void **)&update, (void **)&nupds_pe, (void **)&htable, LTERM); - GKfree((void **)&changed, (void **)&pperm, (void **)&perm, (void **)&moved, LTERM); - GKfree((void **)&tmp_where, (void **)&tmp_rinfo, (void **)&tmp_edegrees, LTERM); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->KWayTmr)); -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwayfm.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwayfm.c deleted file mode 100644 index 4d0849b..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwayfm.c +++ /dev/null @@ -1,599 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mkwayfm.c - * - * This file contains code that performs the k-way refinement - * - * Started 3/1/96 - * George - * - * $Id: kwayfm.c,v 1.3 2003/07/22 20:29:05 karypis Exp $ - */ - -#include <parmetislib.h> - -#define ProperSide(c, from, other) \ - (((c) == 0 && (from)-(other) < 0) || ((c) == 1 && (from)-(other) > 0)) - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Moc_KWayFM(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace, int npasses) -{ - int h, i, ii, iii, j, k, c; - int pass, nvtxs, nedges, ncon; - int nmoves, nmoved, nswaps, nzgswaps; -/* int gnswaps, gnzgswaps; */ - int me, firstvtx, lastvtx, yourlastvtx; - int from, to = -1, oldto, oldcut, mydomain, yourdomain, imbalanced, overweight; - int npes = ctrl->npes, mype = ctrl->mype, nparts = ctrl->nparts; - int nlupd, nsupd, nnbrs, nchanged; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist; - idxtype *where, *tmp_where, *moved; - float *lnpwgts, *gnpwgts, *ognpwgts, *pgnpwgts, *movewgts, *overfill; - idxtype *update, *supdate, *rupdate, *pe_updates; - idxtype *changed, *perm, *pperm, *htable; - idxtype *peind, *recvptr, *sendptr; - KeyValueType *swchanges, *rwchanges; - RInfoType *rinfo, *myrinfo, *tmp_myrinfo, *tmp_rinfo; - EdgeType *tmp_edegrees, *my_edegrees, *your_edegrees; - float lbvec[MAXNCON], *nvwgt, *badmaxpwgt, *ubvec, *tpwgts, lbavg, ubavg; - int *nupds_pe; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->KWayTmr)); - - /*************************/ - /* set up common aliases */ - /*************************/ - nvtxs = graph->nvtxs; - nedges = graph->nedges; - ncon = graph->ncon; - - vtxdist = graph->vtxdist; - xadj = graph->xadj; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - firstvtx = vtxdist[mype]; - lastvtx = vtxdist[mype+1]; - - where = graph->where; - rinfo = graph->rinfo; - lnpwgts = graph->lnpwgts; - gnpwgts = graph->gnpwgts; - ubvec = ctrl->ubvec; - tpwgts = ctrl->tpwgts; - - nnbrs = graph->nnbrs; - peind = graph->peind; - recvptr = graph->recvptr; - sendptr = graph->sendptr; - - changed = idxmalloc(nvtxs, "KWR: changed"); - rwchanges = wspace->pairs; - swchanges = rwchanges + recvptr[nnbrs]; - - /************************************/ - /* set up important data structures */ - /************************************/ - perm = idxmalloc(nvtxs, "KWR: perm"); - pperm = idxmalloc(nparts, "KWR: pperm"); - - update = idxmalloc(nvtxs, "KWR: update"); - supdate = wspace->indices; - rupdate = supdate + recvptr[nnbrs]; - nupds_pe = imalloc(npes, "KWR: nupds_pe"); - htable = idxsmalloc(nvtxs+graph->nrecv, 0, "KWR: lhtable"); - badmaxpwgt = fmalloc(nparts*ncon, "badmaxpwgt"); - - for (i=0; i<nparts; i++) { - for (h=0; h<ncon; h++) { - badmaxpwgt[i*ncon+h] = ubvec[h]*tpwgts[i*ncon+h]; - } - } - - movewgts = fmalloc(nparts*ncon, "KWR: movewgts"); - ognpwgts = fmalloc(nparts*ncon, "KWR: ognpwgts"); - pgnpwgts = fmalloc(nparts*ncon, "KWR: pgnpwgts"); - overfill = fmalloc(nparts*ncon, "KWR: overfill"); - moved = idxmalloc(nvtxs, "KWR: moved"); - tmp_where = idxmalloc(nvtxs+graph->nrecv, "KWR: tmp_where"); - tmp_rinfo = (RInfoType *)GKmalloc(sizeof(RInfoType)*nvtxs, "KWR: tmp_rinfo"); - tmp_edegrees = (EdgeType *)GKmalloc(sizeof(EdgeType)*nedges, "KWR: tmp_edegrees"); - - idxcopy(nvtxs+graph->nrecv, where, tmp_where); - for (i=0; i<nvtxs; i++) { - tmp_rinfo[i].id = rinfo[i].id; - tmp_rinfo[i].ed = rinfo[i].ed; - tmp_rinfo[i].ndegrees = rinfo[i].ndegrees; - tmp_rinfo[i].degrees = tmp_edegrees+xadj[i]; - - for (j=0; j<rinfo[i].ndegrees; j++) { - tmp_rinfo[i].degrees[j].edge = rinfo[i].degrees[j].edge; - tmp_rinfo[i].degrees[j].ewgt = rinfo[i].degrees[j].ewgt; - } - } - - nswaps = nzgswaps = 0; - /*********************************************************/ - /* perform a small number of passes through the vertices */ - /*********************************************************/ - for (pass=0; pass<npasses; pass++) { - if (mype == 0) - RandomPermute(nparts, pperm, 1); - MPI_Bcast((void *)pperm, nparts, IDX_DATATYPE, 0, ctrl->comm); - FastRandomPermute(nvtxs, perm, 1); - oldcut = graph->mincut; - - /* check to see if the partitioning is imbalanced */ - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - ubavg = savg(ncon, ubvec); - lbavg = savg(ncon, lbvec); - imbalanced = (lbavg > ubavg) ? 1 : 0; - - for (c=0; c<2; c++) { - scopy(ncon*nparts, gnpwgts, ognpwgts); - sset(ncon*nparts, 0.0, movewgts); - nmoved = 0; - - /**********************************************/ - /* PASS ONE -- record stats for desired moves */ - /**********************************************/ - for (iii=0; iii<nvtxs; iii++) { - i = perm[iii]; - from = tmp_where[i]; - nvwgt = graph->nvwgt+i*ncon; - - for (h=0; h<ncon; h++) - if (fabs(nvwgt[h]-gnpwgts[from*ncon+h]) < SMALLFLOAT) - break; - - if (h < ncon) { - continue; - } - - /* check for a potential improvement */ - if (tmp_rinfo[i].ed >= tmp_rinfo[i].id) { - my_edegrees = tmp_rinfo[i].degrees; - - for (k=0; k<tmp_rinfo[i].ndegrees; k++) { - to = my_edegrees[k].edge; - if (ProperSide(c, pperm[from], pperm[to])) { - for (h=0; h<ncon; h++) - if (gnpwgts[to*ncon+h]+nvwgt[h] > badmaxpwgt[to*ncon+h] && nvwgt[h] > 0.0) - break; - - if (h == ncon) - break; - } - } - oldto = to; - - /* check if a subdomain was found that fits */ - if (k < tmp_rinfo[i].ndegrees) { - for (j=k+1; j<tmp_rinfo[i].ndegrees; j++) { - to = my_edegrees[j].edge; - if (ProperSide(c, pperm[from], pperm[to])) { - for (h=0; h<ncon; h++) - if (gnpwgts[to*ncon+h]+nvwgt[h] > badmaxpwgt[to*ncon+h] && nvwgt[h] > 0.0) - break; - - if (h == ncon) { - if (my_edegrees[j].ewgt > my_edegrees[k].ewgt || - (my_edegrees[j].ewgt == my_edegrees[k].ewgt && - IsHBalanceBetterTT(ncon,gnpwgts+oldto*ncon,gnpwgts+to*ncon,nvwgt,ubvec))){ - k = j; - oldto = my_edegrees[k].edge; - } - } - } - } - to = oldto; - - if (my_edegrees[k].ewgt > tmp_rinfo[i].id || - (my_edegrees[k].ewgt == tmp_rinfo[i].id && - (imbalanced || graph->level > 3 || iii % 8 == 0) && - IsHBalanceBetterFT(ncon,gnpwgts+from*ncon,gnpwgts+to*ncon,nvwgt,ubvec))){ - - /****************************************/ - /* Update tmp arrays of the moved vertex */ - /****************************************/ - tmp_where[i] = to; - moved[nmoved++] = i; - for (h=0; h<ncon; h++) { - lnpwgts[to*ncon+h] += nvwgt[h]; - lnpwgts[from*ncon+h] -= nvwgt[h]; - gnpwgts[to*ncon+h] += nvwgt[h]; - gnpwgts[from*ncon+h] -= nvwgt[h]; - movewgts[to*ncon+h] += nvwgt[h]; - movewgts[from*ncon+h] -= nvwgt[h]; - } - - tmp_rinfo[i].ed += tmp_rinfo[i].id-my_edegrees[k].ewgt; - SWAP(tmp_rinfo[i].id, my_edegrees[k].ewgt, j); - if (my_edegrees[k].ewgt == 0) { - tmp_rinfo[i].ndegrees--; - my_edegrees[k].edge = my_edegrees[tmp_rinfo[i].ndegrees].edge; - my_edegrees[k].ewgt = my_edegrees[tmp_rinfo[i].ndegrees].ewgt; - } - else { - my_edegrees[k].edge = from; - } - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - /* no need to bother about vertices on different pe's */ - if (ladjncy[j] >= nvtxs) - continue; - - me = ladjncy[j]; - mydomain = tmp_where[me]; - - myrinfo = tmp_rinfo+me; - your_edegrees = myrinfo->degrees; - - if (mydomain == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - } - else { - if (mydomain == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - } - } - - /* Remove contribution from the .ed of 'from' */ - if (mydomain != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == from) { - if (your_edegrees[k].ewgt == adjwgt[j]) { - myrinfo->ndegrees--; - your_edegrees[k].edge = your_edegrees[myrinfo->ndegrees].edge; - your_edegrees[k].ewgt = your_edegrees[myrinfo->ndegrees].ewgt; - } - else { - your_edegrees[k].ewgt -= adjwgt[j]; - } - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (mydomain != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == to) { - your_edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - your_edegrees[myrinfo->ndegrees].edge = to; - your_edegrees[myrinfo->ndegrees++].ewgt = adjwgt[j]; - } - } - } - } - } - } - } - - /******************************************/ - /* Let processors know the subdomain wgts */ - /* if all proposed moves commit. */ - /******************************************/ - MPI_Allreduce((void *)lnpwgts, (void *)pgnpwgts, nparts*ncon, - MPI_FLOAT, MPI_SUM, ctrl->comm); - - /**************************/ - /* compute overfill array */ - /**************************/ - overweight = 0; - for (j=0; j<nparts; j++) { - for (h=0; h<ncon; h++) { - if (pgnpwgts[j*ncon+h] > ognpwgts[j*ncon+h]) { - overfill[j*ncon+h] = - (pgnpwgts[j*ncon+h]-badmaxpwgt[j*ncon+h]) / - (pgnpwgts[j*ncon+h]-ognpwgts[j*ncon+h]); - } - else { - overfill[j*ncon+h] = 0.0; - } - - overfill[j*ncon+h] = amax(overfill[j*ncon+h], 0.0); - overfill[j*ncon+h] *= movewgts[j*ncon+h]; - - if (overfill[j*ncon+h] > 0.0) - overweight = 1; - - ASSERTP(ctrl, ognpwgts[j*ncon+h] <= badmaxpwgt[j*ncon+h] || - pgnpwgts[j*ncon+h] <= ognpwgts[j*ncon+h], - (ctrl, "%.4f %.4f %.4f\n", ognpwgts[j*ncon+h], - badmaxpwgt[j*ncon+h], pgnpwgts[j*ncon+h])); - } - } - - /****************************************************/ - /* select moves to undo according to overfill array */ - /****************************************************/ - if (overweight == 1) { - for (iii=0; iii<nmoved; iii++) { - i = moved[iii]; - oldto = tmp_where[i]; - nvwgt = graph->nvwgt+i*ncon; - my_edegrees = tmp_rinfo[i].degrees; - - for (k=0; k<tmp_rinfo[i].ndegrees; k++) - if (my_edegrees[k].edge == where[i]) - break; - - for (h=0; h<ncon; h++) - if (nvwgt[h] > 0.0 && overfill[oldto*ncon+h] > nvwgt[h]/4.0) - break; - - /**********************************/ - /* nullify this move if necessary */ - /**********************************/ - if (k != tmp_rinfo[i].ndegrees && h != ncon) { - moved[iii] = -1; - from = oldto; - to = where[i]; - - for (h=0; h<ncon; h++) { - overfill[oldto*ncon+h] = amax(overfill[oldto*ncon+h]-nvwgt[h], 0.0); - } - - tmp_where[i] = to; - tmp_rinfo[i].ed += tmp_rinfo[i].id-my_edegrees[k].ewgt; - SWAP(tmp_rinfo[i].id, my_edegrees[k].ewgt, j); - if (my_edegrees[k].ewgt == 0) { - tmp_rinfo[i].ndegrees--; - my_edegrees[k].edge = my_edegrees[tmp_rinfo[i].ndegrees].edge; - my_edegrees[k].ewgt = my_edegrees[tmp_rinfo[i].ndegrees].ewgt; - } - else { - my_edegrees[k].edge = from; - } - - for (h=0; h<ncon; h++) { - lnpwgts[to*ncon+h] += nvwgt[h]; - lnpwgts[from*ncon+h] -= nvwgt[h]; - } - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - /* no need to bother about vertices on different pe's */ - if (ladjncy[j] >= nvtxs) - continue; - - me = ladjncy[j]; - mydomain = tmp_where[me]; - - myrinfo = tmp_rinfo+me; - your_edegrees = myrinfo->degrees; - - if (mydomain == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - } - else { - if (mydomain == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - } - } - - /* Remove contribution from the .ed of 'from' */ - if (mydomain != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == from) { - if (your_edegrees[k].ewgt == adjwgt[j]) { - myrinfo->ndegrees--; - your_edegrees[k].edge = your_edegrees[myrinfo->ndegrees].edge; - your_edegrees[k].ewgt = your_edegrees[myrinfo->ndegrees].ewgt; - } - else { - your_edegrees[k].ewgt -= adjwgt[j]; - } - break; - } - } - } - - /* Add contribution to the .ed of 'to' */ - if (mydomain != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (your_edegrees[k].edge == to) { - your_edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - your_edegrees[myrinfo->ndegrees].edge = to; - your_edegrees[myrinfo->ndegrees++].ewgt = adjwgt[j]; - } - } - } - } - } - } - - /*************************************************/ - /* PASS TWO -- commit the remainder of the moves */ - /*************************************************/ - nlupd = nsupd = nmoves = nchanged = 0; - for (iii=0; iii<nmoved; iii++) { - i = moved[iii]; - if (i == -1) - continue; - - where[i] = tmp_where[i]; - - /* Make sure to update the vertex information */ - if (htable[i] == 0) { - /* make sure you do the update */ - htable[i] = 1; - update[nlupd++] = i; - } - - /* Put the vertices adjacent to i into the update array */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = ladjncy[j]; - if (htable[k] == 0) { - htable[k] = 1; - if (k<nvtxs) - update[nlupd++] = k; - else - supdate[nsupd++] = k; - } - } - nmoves++; - nswaps++; - - /* check number of zero-gain moves */ - for (k=0; k<rinfo[i].ndegrees; k++) - if (rinfo[i].degrees[k].edge == to) - break; - if (rinfo[i].id == rinfo[i].degrees[k].ewgt) - nzgswaps++; - - if (graph->pexadj[i+1]-graph->pexadj[i] > 0) - changed[nchanged++] = i; - } - - /* Tell interested pe's the new where[] info for the interface vertices */ - CommChangedInterfaceData(ctrl, graph, nchanged, changed, where, - swchanges, rwchanges, wspace->pv4); - - - IFSET(ctrl->dbglvl, DBG_RMOVEINFO, - rprintf(ctrl, "\t[%d %d], [%.4f], [%d %d %d]\n", - pass, c, badmaxpwgt[0], - GlobalSESum(ctrl, nmoves), - GlobalSESum(ctrl, nsupd), - GlobalSESum(ctrl, nlupd))); - - /*------------------------------------------------------------- - / Time to communicate with processors to send the vertices - / whose degrees need to be update. - /-------------------------------------------------------------*/ - /* Issue the receives first */ - for (i=0; i<nnbrs; i++) { - MPI_Irecv((void *)(rupdate+sendptr[i]), sendptr[i+1]-sendptr[i], IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - /* Issue the sends next. This needs some preporcessing */ - for (i=0; i<nsupd; i++) { - htable[supdate[i]] = 0; - supdate[i] = graph->imap[supdate[i]]; - } - iidxsort(nsupd, supdate); - - for (j=i=0; i<nnbrs; i++) { - yourlastvtx = vtxdist[peind[i]+1]; - for (k=j; k<nsupd && supdate[k] < yourlastvtx; k++); - MPI_Isend((void *)(supdate+j), k-j, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - j = k; - } - - /* OK, now get into the loop waiting for the send/recv operations to finish */ - MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); - for (i=0; i<nnbrs; i++) - MPI_Get_count(ctrl->statuses+i, IDX_DATATYPE, nupds_pe+i); - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); - - - /*------------------------------------------------------------- - / Place the recieved to-be updated vertices into update[] - /-------------------------------------------------------------*/ - for (i=0; i<nnbrs; i++) { - pe_updates = rupdate+sendptr[i]; - for (j=0; j<nupds_pe[i]; j++) { - k = pe_updates[j]; - if (htable[k-firstvtx] == 0) { - htable[k-firstvtx] = 1; - update[nlupd++] = k-firstvtx; - } - } - } - - - /*------------------------------------------------------------- - / Update the rinfo of the vertices in the update[] array - /-------------------------------------------------------------*/ - for (ii=0; ii<nlupd; ii++) { - i = update[ii]; - ASSERT(ctrl, htable[i] == 1); - - htable[i] = 0; - - mydomain = where[i]; - myrinfo = rinfo+i; - tmp_myrinfo = tmp_rinfo+i; - my_edegrees = myrinfo->degrees; - your_edegrees = tmp_myrinfo->degrees; - - graph->lmincut -= myrinfo->ed; - myrinfo->ndegrees = 0; - myrinfo->id = 0; - myrinfo->ed = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - yourdomain = where[ladjncy[j]]; - if (mydomain != yourdomain) { - myrinfo->ed += adjwgt[j]; - - for (k=0; k<myrinfo->ndegrees; k++) { - if (my_edegrees[k].edge == yourdomain) { - my_edegrees[k].ewgt += adjwgt[j]; - your_edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - my_edegrees[k].edge = yourdomain; - my_edegrees[k].ewgt = adjwgt[j]; - your_edegrees[k].edge = yourdomain; - your_edegrees[k].ewgt = adjwgt[j]; - myrinfo->ndegrees++; - } - ASSERT(ctrl, myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - ASSERT(ctrl, tmp_myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - - } - else { - myrinfo->id += adjwgt[j]; - } - } - graph->lmincut += myrinfo->ed; - - tmp_myrinfo->id = myrinfo->id; - tmp_myrinfo->ed = myrinfo->ed; - tmp_myrinfo->ndegrees = myrinfo->ndegrees; - } - - /* finally, sum-up the partition weights */ - MPI_Allreduce((void *)lnpwgts, (void *)gnpwgts, nparts*ncon, - MPI_FLOAT, MPI_SUM, ctrl->comm); - } - graph->mincut = GlobalSESum(ctrl, graph->lmincut)/2; - - if (graph->mincut == oldcut) - break; - } - -/* - gnswaps = GlobalSESum(ctrl, nswaps); - gnzgswaps = GlobalSESum(ctrl, nzgswaps); - if (mype == 0) - printf("niters: %d, nswaps: %d, nzgswaps: %d\n", pass+1, gnswaps, gnzgswaps); -*/ - - GKfree((void **)&badmaxpwgt, (void **)&update, (void **)&nupds_pe, (void **)&htable, LTERM); - GKfree((void **)&changed, (void **)&pperm, (void **)&perm, (void **)&moved, LTERM); - GKfree((void **)&pgnpwgts, (void **)&ognpwgts, (void **)&overfill, (void **)&movewgts, LTERM); - GKfree((void **)&tmp_where, (void **)&tmp_rinfo, (void **)&tmp_edegrees, LTERM); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->KWayTmr)); -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwayrefine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwayrefine.c deleted file mode 100644 index e4b776e..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/kwayrefine.c +++ /dev/null @@ -1,239 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * medge_refine.c - * - * This file contains code that performs the k-way refinement - * - * Started 3/1/96 - * George - * - * $Id: kwayrefine.c,v 1.2 2003/07/21 17:18:49 karypis Exp $ - */ - -#include <parmetislib.h> - -#define ProperSide(c, from, other) \ - (((c) == 0 && (from)-(other) < 0) || ((c) == 1 && (from)-(other) > 0)) - -/************************************************************************* -* This function projects a partition. -**************************************************************************/ -void Moc_ProjectPartition(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, nvtxs, nnbrs = -1, firstvtx, cfirstvtx; - idxtype *match, *cmap, *where, *cwhere; - idxtype *peind, *slens = NULL, *rlens = NULL; - KeyValueType *rcand, *scand = NULL; - GraphType *cgraph; - - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr)); - - cgraph = graph->coarser; - cwhere = cgraph->where; - cfirstvtx = cgraph->vtxdist[ctrl->mype]; - - nvtxs = graph->nvtxs; - match = graph->match; - cmap = graph->cmap; - where = graph->where = idxmalloc(nvtxs+graph->nrecv, "ProjectPartition: graph->where"); - firstvtx = graph->vtxdist[ctrl->mype]; - - - if (graph->match_type == MATCH_GLOBAL) { /* Only if global matching is on */ - /*------------------------------------------------------------ - / Start the transmission of the remote where information - /------------------------------------------------------------*/ - scand = wspace->pairs; - nnbrs = graph->nnbrs; - peind = graph->peind; - slens = graph->slens; - rlens = graph->rlens; - rcand = graph->rcand; - - /* Issue the receives first */ - for (i=0; i<nnbrs; i++) { - if (slens[i+1]-slens[i] > 0) /* Issue a receive only if you are getting something */ - MPI_Irecv((void *)(scand+slens[i]), 2*(slens[i+1]-slens[i]), IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - -#ifdef DEBUG_PROJECT - PrintPairs(ctrl, rlens[nnbrs], rcand, "rcand"); -#endif - - /* Put the where[rcand[].key] into the val field */ - for (i=0; i<rlens[nnbrs]; i++) { - ASSERT(ctrl, rcand[i].val >= 0 && rcand[i].val < cgraph->nvtxs); - rcand[i].val = cwhere[rcand[i].val]; - } - -#ifdef DEBUG_PROJECT - PrintPairs(ctrl, rlens[nnbrs], rcand, "rcand"); - PrintVector(ctrl, nvtxs, firstvtx, cmap, "cmap"); -#endif - - /* Issue the sends next */ - for (i=0; i<nnbrs; i++) { - if (rlens[i+1]-rlens[i] > 0) /* Issue a send only if you are sending something */ - MPI_Isend((void *)(rcand+rlens[i]), 2*(rlens[i+1]-rlens[i]), IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - } - } - - /*------------------------------------------------------------ - / Project local vertices first - /------------------------------------------------------------*/ - for (i=0; i<nvtxs; i++) { - if (match[i] >= KEEP_BIT) { - ASSERT(ctrl, cmap[i]-cfirstvtx>=0 && cmap[i]-cfirstvtx<cgraph->nvtxs); - where[i] = cwhere[cmap[i]-cfirstvtx]; - } - } - - if (graph->match_type == MATCH_GLOBAL) { /* Only if global matching is on */ - /*------------------------------------------------------------ - / Wait for the nonblocking operations to finish - /------------------------------------------------------------*/ - for (i=0; i<nnbrs; i++) { - if (rlens[i+1]-rlens[i] > 0) - MPI_Wait(ctrl->sreq+i, &ctrl->status); - } - for (i=0; i<nnbrs; i++) { - if (slens[i+1]-slens[i] > 0) - MPI_Wait(ctrl->rreq+i, &ctrl->status); - } - -#ifdef DEBUG_PROJECT - PrintPairs(ctrl, slens[nnbrs], scand, "scand"); -#endif - - /*------------------------------------------------------------ - / Project received vertices now - /------------------------------------------------------------*/ - for (i=0; i<slens[nnbrs]; i++) { - ASSERTP(ctrl, scand[i].key-firstvtx>=0 && scand[i].key-firstvtx<graph->nvtxs, (ctrl, "%d %d %d\n", scand[i].key, firstvtx, graph->nvtxs)); - where[scand[i].key-firstvtx] = scand[i].val; - } - } - - - FreeGraph(graph->coarser); - graph->coarser = NULL; - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr)); -} - - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void Moc_ComputePartitionParams(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int h, i, j, k; - int nvtxs, ncon; - int firstvtx, lastvtx; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist; - float *lnpwgts, *gnpwgts; - idxtype *where, *swhere, *rwhere; - RInfoType *rinfo, *myrinfo; - EdgeType *edegrees; - int me, other; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->KWayInitTmr)); - - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - - vtxdist = graph->vtxdist; - xadj = graph->xadj; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - - where = graph->where; - rinfo = graph->rinfo = (RInfoType *)GKmalloc(sizeof(RInfoType)*nvtxs, "CPP: rinfo"); - lnpwgts = graph->lnpwgts = fmalloc(ctrl->nparts*ncon, "CPP: lnpwgts"); - gnpwgts = graph->gnpwgts = fmalloc(ctrl->nparts*ncon, "CPP: gnpwgts"); - - sset(ctrl->nparts*ncon, 0, lnpwgts); - - firstvtx = vtxdist[ctrl->mype]; - lastvtx = vtxdist[ctrl->mype+1]; - - /*------------------------------------------------------------ - / Send/Receive the where information of interface vertices - /------------------------------------------------------------*/ - swhere = wspace->indices; - rwhere = where + nvtxs; - - CommInterfaceData(ctrl, graph, where, swhere, rwhere); - -#ifdef DEBUG_COMPUTEPPARAM - PrintVector(ctrl, nvtxs, firstvtx, where, "where"); -#endif - - ASSERT(ctrl, wspace->nlarge >= xadj[nvtxs]); - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - graph->lmincut = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - myrinfo = rinfo+i; - - for (h=0; h<ncon; h++) - lnpwgts[me*ncon+h] += graph->nvwgt[i*ncon+h]; - - myrinfo->degrees = wspace->degrees + xadj[i]; - myrinfo->ndegrees = myrinfo->id = myrinfo->ed = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me == where[ladjncy[j]]) - myrinfo->id += adjwgt[j]; - else - myrinfo->ed += adjwgt[j]; - } - - - if (myrinfo->ed > 0) { /* Time to do some serious work */ - graph->lmincut += myrinfo->ed; - edegrees = myrinfo->degrees; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = where[ladjncy[j]]; - if (me != other) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (edegrees[k].edge == other) { - edegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - edegrees[k].edge = other; - edegrees[k].ewgt = adjwgt[j]; - myrinfo->ndegrees++; - } - ASSERT(ctrl, myrinfo->ndegrees <= xadj[i+1]-xadj[i]); - } - } - } - } - -#ifdef DEBUG_COMPUTEPPARAM - PrintVector(ctrl, ctrl->nparts*ncon, 0, lnpwgts, "lnpwgts"); -#endif - - /* Finally, sum-up the partition weights */ - MPI_Allreduce((void *)lnpwgts, (void *)gnpwgts, ctrl->nparts*ncon, MPI_FLOAT, MPI_SUM, ctrl->comm); - - graph->mincut = GlobalSESum(ctrl, graph->lmincut)/2; - -#ifdef DEBUG_COMPUTEPPARAM - PrintVector(ctrl, ctrl->nparts*ncon, 0, gnpwgts, "gnpwgts"); -#endif - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->KWayInitTmr)); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/lmatch.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/lmatch.c deleted file mode 100644 index d8601ef..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/lmatch.c +++ /dev/null @@ -1,364 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * coarsen.c - * - * This file contains code that finds a matching and performs the coarsening - * - * Started 2/22/96 - * George - * - * $Id: lmatch.c,v 1.2 2003/07/21 17:18:50 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function finds a HEM matching between local vertices only -**************************************************************************/ -void Mc_LocalMatch_HEM(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int h, i, ii, j, k; - int nvtxs, ncon, cnvtxs, firstvtx, maxi, maxidx, edge; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist, *home, *myhome, *shome, *rhome; - idxtype *perm, *match; - float maxnvwgt, *nvwgt; - - graph->match_type = MATCH_LOCAL; - maxnvwgt = 1.0/((float)(ctrl->nparts)*MAXVWGT_FACTOR); - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - home = graph->home; - - vtxdist = graph->vtxdist; - firstvtx = vtxdist[ctrl->mype]; - - match = graph->match = idxmalloc(nvtxs+graph->nrecv, "HEM_Match: match"); - myhome = idxsmalloc(nvtxs+graph->nrecv, UNMATCHED, "HEM_Match: myhome"); - - idxset(nvtxs, UNMATCHED, match); - idxset(graph->nrecv, 0, match+nvtxs); /* Easy way to handle remote vertices */ - - /*------------------------------------------------------------ - / Send/Receive the home information of interface vertices - /------------------------------------------------------------*/ - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { - idxcopy(nvtxs, home, myhome); - shome = wspace->indices; - rhome = myhome + nvtxs; - CommInterfaceData(ctrl, graph, myhome, shome, rhome); - } - - /************************************************************* - * Go now and find a local matching - *************************************************************/ - perm = wspace->indices; - FastRandomPermute(nvtxs, perm, 1); - cnvtxs = 0; - for (ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - if (match[i] == UNMATCHED) { - maxidx = maxi = -1; - - /* Find a heavy-edge matching, if the weight of the vertex is OK */ - for (h=0; h<ncon; h++) - if (nvwgt[i*ncon+h] > maxnvwgt) - break; - - if (h == ncon) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - edge = ladjncy[j]; - - /* match only with local vertices */ - if (myhome[edge] != myhome[i] || edge >= nvtxs) - continue; - - for (h=0; h<ncon; h++) - if (nvwgt[edge*ncon+h] > maxnvwgt) - break; - - if (h == ncon) { - if (match[edge] == UNMATCHED && - (maxi == -1 || - adjwgt[maxi] < adjwgt[j] || - (adjwgt[maxi] == adjwgt[j] && - BetterVBalance(ncon,nvwgt+i*ncon,nvwgt+maxidx*ncon,nvwgt+edge*ncon) >= 0))) { - maxi = j; - maxidx = edge; - } - } - } - } - - if (maxi != -1) { - k = ladjncy[maxi]; - if (i <= k) { - match[i] = firstvtx+k + KEEP_BIT; - match[k] = firstvtx+i; - } - else { - match[i] = firstvtx+k; - match[k] = firstvtx+i + KEEP_BIT; - } - } - else { - match[i] = (firstvtx+i) + KEEP_BIT; - } - cnvtxs++; - } - } - - CommInterfaceData(ctrl, graph, match, wspace->indices, match+nvtxs); - GKfree((void **)(&myhome), LTERM); - -#ifdef DEBUG_MATCH - PrintVector2(ctrl, nvtxs, firstvtx, match, "Match1"); -#endif - - - if (ctrl->dbglvl&DBG_MATCHINFO) { - PrintVector2(ctrl, nvtxs, firstvtx, match, "Match"); - myprintf(ctrl, "Cnvtxs: %d\n", cnvtxs); - rprintf(ctrl, "Done with matching...\n"); - } - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ContractTmr)); - Mc_Local_CreateCoarseGraph(ctrl, graph, wspace, cnvtxs); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ContractTmr)); - -} - - - - - -/************************************************************************* -* This function creates the coarser graph -**************************************************************************/ -void Mc_Local_CreateCoarseGraph(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace, int cnvtxs) -{ - int h, i, j, k, l; - int nvtxs, ncon, nedges, firstvtx, cfirstvtx; - int npes=ctrl->npes, mype=ctrl->mype; - int cnedges, v, u; - idxtype *xadj, *vwgt, *vsize, *ladjncy, *adjwgt, *vtxdist, *where, *home; - idxtype *match, *cmap; - idxtype *cxadj, *cvwgt, *cvsize = NULL, *cadjncy, *cadjwgt, *cvtxdist, *chome = NULL, *cwhere = NULL; - float *cnvwgt; - GraphType *cgraph; - int mask=(1<<13)-1, htable[8192], htableidx[8192]; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - - vtxdist = graph->vtxdist; - xadj = graph->xadj; - vwgt = graph->vwgt; - home = graph->home; - vsize = graph->vsize; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - match = graph->match; - - firstvtx = vtxdist[mype]; - - cmap = graph->cmap = idxmalloc(nvtxs+graph->nrecv, "CreateCoarseGraph: cmap"); - - /* Initialize the coarser graph */ - cgraph = CreateGraph(); - cgraph->nvtxs = cnvtxs; - cgraph->level = graph->level+1; - cgraph->ncon = ncon; - - cgraph->finer = graph; - graph->coarser = cgraph; - - - /************************************************************* - * Obtain the vtxdist of the coarser graph - **************************************************************/ - cvtxdist = cgraph->vtxdist = idxmalloc(npes+1, "CreateCoarseGraph: cvtxdist"); - cvtxdist[npes] = cnvtxs; /* Use last position in the cvtxdist as a temp buffer */ - - MPI_Allgather((void *)(cvtxdist+npes), 1, IDX_DATATYPE, (void *)cvtxdist, 1, IDX_DATATYPE, ctrl->comm); - - MAKECSR(i, npes, cvtxdist); - - cgraph->gnvtxs = cvtxdist[npes]; - -#ifdef DEBUG_CONTRACT - PrintVector(ctrl, npes+1, 0, cvtxdist, "cvtxdist"); -#endif - - - /************************************************************* - * Construct the cmap vector - **************************************************************/ - cfirstvtx = cvtxdist[mype]; - - /* Create the cmap of what you know so far locally */ - cnvtxs = 0; - for (i=0; i<nvtxs; i++) { - if (match[i] >= KEEP_BIT) { - k = match[i] - KEEP_BIT; - if (k<firstvtx+i) - continue; /* i has been matched via the (k,i) side */ - - cmap[i] = cfirstvtx + cnvtxs++; - if (k != firstvtx+i) { - cmap[k-firstvtx] = cmap[i]; - match[k-firstvtx] += KEEP_BIT; /* Add the KEEP_BIT to simplify coding */ - } - } - } - - CommInterfaceData(ctrl, graph, cmap, wspace->indices, cmap+nvtxs); - - -#ifdef DEBUG_CONTRACT - PrintVector(ctrl, nvtxs, firstvtx, cmap, "Cmap"); -#endif - - - - /************************************************************* - * Finally, create the coarser graph - **************************************************************/ - /* Allocate memory for the coarser graph, and fire up coarsening */ - cxadj = cgraph->xadj = idxmalloc(cnvtxs+1, "CreateCoarserGraph: cxadj"); - cvwgt = cgraph->vwgt = idxmalloc(cnvtxs*ncon, "CreateCoarserGraph: cvwgt"); - cnvwgt = cgraph->nvwgt = fmalloc(cnvtxs*ncon, "CreateCoarserGraph: cnvwgt"); - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) - chome = cgraph->home = idxmalloc(cnvtxs, "CreateCoarserGraph: chome"); - if (vsize != NULL) - cvsize = cgraph->vsize = idxmalloc(cnvtxs, "CreateCoarserGraph: cvsize"); - if (where != NULL) - cwhere = cgraph->where = idxmalloc(cnvtxs, "CreateCoarserGraph: cwhere"); - cadjncy = idxmalloc(2*graph->nedges, "CreateCoarserGraph: cadjncy"); - cadjwgt = cadjncy+graph->nedges; - - iset(8192, -1, htable); - - cxadj[0] = cnvtxs = cnedges = 0; - for (i=0; i<nvtxs; i++) { - v = firstvtx+i; - u = match[i]-KEEP_BIT; - - if (v > u) - continue; /* I have already collapsed it as (u,v) */ - - /* Collapse the v vertex first, which you know that is local */ - for (h=0; h<ncon; h++) - cvwgt[cnvtxs*ncon+h] = vwgt[i*ncon+h]; - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) - chome[cnvtxs] = home[i]; - if (vsize != NULL) - cvsize[cnvtxs] = vsize[i]; - if (where != NULL) - cwhere[cnvtxs] = where[i]; - nedges = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = cmap[ladjncy[j]]; - if (k != cfirstvtx+cnvtxs) { /* If this is not an internal edge */ - l = k&mask; - if (htable[l] == -1) { /* Seeing this for first time */ - htable[l] = k; - htableidx[l] = cnedges+nedges; - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = adjwgt[j]; - } - else if (htable[l] == k) { - cadjwgt[htableidx[l]] += adjwgt[j]; - } - else { /* Now you have to go and do a search. Expensive case */ - for (l=0; l<nedges; l++) { - if (cadjncy[cnedges+l] == k) - break; - } - if (l < nedges) { - cadjwgt[cnedges+l] += adjwgt[j]; - } - else { - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = adjwgt[j]; - } - } - } - } - - /* Collapse the u vertex next */ - if (v != u) { - u -= firstvtx; - for (h=0; h<ncon; h++) - cvwgt[cnvtxs*ncon+h] += vwgt[u*ncon+h]; - if (vsize != NULL) - cvsize[cnvtxs] += vsize[u]; - if (where != NULL && cwhere[cnvtxs] != where[u]) - myprintf(ctrl, "Something went wrong with the where local matching! %d %d\n", cwhere[cnvtxs], where[u]); - - for (j=xadj[u]; j<xadj[u+1]; j++) { - k = cmap[ladjncy[j]]; - if (k != cfirstvtx+cnvtxs) { /* If this is not an internal edge */ - l = k&mask; - if (htable[l] == -1) { /* Seeing this for first time */ - htable[l] = k; - htableidx[l] = cnedges+nedges; - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = adjwgt[j]; - } - else if (htable[l] == k) { - cadjwgt[htableidx[l]] += adjwgt[j]; - } - else { /* Now you have to go and do a search. Expensive case */ - for (l=0; l<nedges; l++) { - if (cadjncy[cnedges+l] == k) - break; - } - if (l < nedges) { - cadjwgt[cnedges+l] += adjwgt[j]; - } - else { - cadjncy[cnedges+nedges] = k; - cadjwgt[cnedges+nedges++] = adjwgt[j]; - } - } - } - } - } - - cnedges += nedges; - for (j=cxadj[cnvtxs]; j<cnedges; j++) - htable[cadjncy[j]&mask] = -1; /* reset the htable */ - cxadj[++cnvtxs] = cnedges; - } - - cgraph->nedges = cnedges; - - for (j=0; j<cnvtxs; j++) - for (h=0; h<ncon; h++) - cgraph->nvwgt[j*ncon+h] = (float)(cvwgt[j*ncon+h])/(float)(ctrl->tvwgts[h]); - - cgraph->adjncy = idxmalloc(cnedges, "CreateCoarserGraph: cadjncy"); - cgraph->adjwgt = idxmalloc(cnedges, "CreateCoarserGraph: cadjwgt"); - idxcopy(cnedges, cadjncy, cgraph->adjncy); - idxcopy(cnedges, cadjwgt, cgraph->adjwgt); - GKfree((void **)&cadjncy, (void **)&graph->where, LTERM); /* Note that graph->where works fine even if it is NULL */ - -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/macros.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/macros.h deleted file mode 100644 index 31861f7..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/macros.h +++ /dev/null @@ -1,163 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * macros.h - * - * This file contains macros used in multilevel - * - * Started 9/25/94 - * George - * - * $Id: macros.h,v 1.8 2003/07/21 19:11:46 karypis Exp $ - * - */ - - -/************************************************************************* -* The following macro returns a random number in the specified range -**************************************************************************/ -#define RandomInRange(u) ((int)(1.0*(u)*rand()/(RAND_MAX+1.0))) - -#define amax(a, b) ((a) >= (b) ? (a) : (b)) -#define amin(a, b) ((a) >= (b) ? (b) : (a)) - -#define AND(a, b) ((a) < 0 ? ((-(a))&(b)) : ((a)&(b))) -#define OR(a, b) ((a) < 0 ? -((-(a))|(b)) : ((a)|(b))) -#define XOR(a, b) ((a) < 0 ? -((-(a))^(b)) : ((a)^(b))) - -#define SWAP(a, b, tmp) \ - do {(tmp) = (a); (a) = (b); (b) = (tmp);} while(0) - -#define INC_DEC(a, b, val) \ - do {(a) += (val); (b) -= (val);} while(0) - - -#define icopy(n, a, b) memcpy((b), (a), sizeof(int)*(n)) -#define scopy(n, a, b) memcpy((b), (a), sizeof(float)*(n)) -#define idxcopy(n, a, b) memcpy((b), (a), sizeof(idxtype)*(n)) - -#define HASHFCT(key, size) ((key)%(size)) - - -/************************************************************************* -* Timer macros -**************************************************************************/ -#define cleartimer(tmr) (tmr = 0.0) -#define starttimer(tmr) (tmr -= MPI_Wtime()) -#define stoptimer(tmr) (tmr += MPI_Wtime()) -#define gettimer(tmr) (tmr) - - -/************************************************************************* -* This macro is used to handle dbglvl -**************************************************************************/ -#define IFSET(a, flag, cmd) if ((a)&(flag)) (cmd); - -/************************************************************************* -* These macros are used for debuging memory leaks -**************************************************************************/ -#ifdef DMALLOC -#define imalloc(n, msg) (malloc(sizeof(int)*(n))) -#define fmalloc(n, msg) (malloc(sizeof(float)*(n))) -#define idxmalloc(n, msg) (malloc(sizeof(idxtype)*(n))) -#define ismalloc(n, val, msg) (iset((n), (val), malloc(sizeof(int)*(n)))) -#define idxsmalloc(n, val, msg) (idxset((n), (val), malloc(sizeof(idxtype)*(n)))) -#define GKmalloc(a, b) (malloc(a)) -#endif - -#ifdef DMALLOC -# define MALLOC_CHECK(ptr); -/* -# define MALLOC_CHECK(ptr) \ - if (malloc_verify((ptr)) == DMALLOC_VERIFY_ERROR) { \ - printf("***MALLOC_CHECK failed on line %d of file %s: " #ptr "\n", \ - __LINE__, __FILE__); \ - abort(); \ - } -*/ -#else -# define MALLOC_CHECK(ptr) ; -#endif - -/************************************************************************* -* This macro converts a length array in a CSR one -**************************************************************************/ -#define MAKECSR(i, n, a) \ - do { \ - for (i=1; i<n; i++) a[i] += a[i-1]; \ - for (i=n; i>0; i--) a[i] = a[i-1]; \ - a[0] = 0; \ - } while(0) - - -#define SHIFTCSR(i, n, a) \ - do { \ - for (i=n; i>0; i--) a[i] = a[i-1]; \ - a[0] = 0; \ - } while(0) - - - -#ifdef DEBUG -# define ASSERT(ctrl, expr) \ - if (!(expr)) { \ - myprintf(ctrl, "***ASSERTION failed on line %d of file %s: " #expr "\n", \ - __LINE__, __FILE__); \ - abort(); \ - } -#else -# define ASSERT(ctrl, expr) ; -#endif - -#ifdef DEBUG -# define ASSERTP(ctrl, expr, msg) \ - if (!(expr)) { \ - myprintf(ctrl, "***ASSERTION failed on line %d of file %s:" #expr "\n", \ - __LINE__, __FILE__); \ - myprintf msg ; \ - abort(); \ - } -#else -# define ASSERTP(ctrl, expr,msg) ; -#endif - -#ifdef DEBUGS -# define ASSERTS(expr) \ - if (!(expr)) { \ - printf("***ASSERTION failed on line %d of file %s: " #expr "\n", \ - __LINE__, __FILE__); \ - abort(); \ - } -#else -# define ASSERTS(expr) ; -#endif - -#ifdef DEBUGS -# define ASSERTSP(expr, msg) \ - if (!(expr)) { \ - printf("***ASSERTION failed on line %d of file %s: " #expr "\n", \ - __LINE__, __FILE__); \ - printf msg ; \ - abort(); \ - } -#else -# define ASSERTSP(expr, msg) ; -#endif - -/************************************************************************* - * * These macros insert and remove nodes from the boundary list - * **************************************************************************/ -#define BNDInsert(nbnd, bndind, bndptr, vtx) \ - do { \ - bndind[nbnd] = vtx; \ - bndptr[vtx] = nbnd++;\ - } while(0) - -#define BNDDelete(nbnd, bndind, bndptr, vtx) \ - do { \ - bndind[bndptr[vtx]] = bndind[--nbnd]; \ - bndptr[bndind[nbnd]] = bndptr[vtx]; \ - bndptr[vtx] = -1; \ - } while(0) - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/match.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/match.c deleted file mode 100644 index 89bfa62..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/match.c +++ /dev/null @@ -1,320 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mmatch.c - * - * This file contains code that finds a matching - * - * Started 2/22/96 - * George - * - * $Id: match.c,v 1.2 2003/07/21 17:18:50 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function finds a matching -**************************************************************************/ -void Moc_GlobalMatch_Balance(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int h, i, ii, j, k; - int nnbrs, nvtxs, ncon, cnvtxs, firstvtx, lastvtx, maxi, maxidx, nkept; - int otherlastvtx, nrequests, nchanged, pass, nmatched, wside; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist, *home, *myhome, *shome, *rhome; - idxtype *match, *rmatch, *smatch; - idxtype *peind, *sendptr, *recvptr; - idxtype *perm, *iperm, *nperm, *changed; - float *nvwgt, maxnvwgt; - int *nreqs_pe; - KeyValueType *match_requests, *match_granted, *pe_requests; - - maxnvwgt = 1.0/((float)(ctrl->nparts)*MAXNVWGT_FACTOR); - - graph->match_type = MATCH_GLOBAL; - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr)); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - home = graph->home; - nvwgt = graph->nvwgt; - - vtxdist = graph->vtxdist; - firstvtx = vtxdist[ctrl->mype]; - lastvtx = vtxdist[ctrl->mype+1]; - - match = graph->match = idxsmalloc(nvtxs+graph->nrecv, UNMATCHED, "HEM_Match: match"); - myhome = idxsmalloc(nvtxs+graph->nrecv, UNMATCHED, "HEM_Match: myhome"); - - /*------------------------------------------------------------ - / Send/Receive the home information of interface vertices - /------------------------------------------------------------*/ - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { - idxcopy(nvtxs, home, myhome); - shome = wspace->indices; - rhome = myhome + nvtxs; - CommInterfaceData(ctrl, graph, myhome, shome, rhome); - } - - nnbrs = graph->nnbrs; - peind = graph->peind; - sendptr = graph->sendptr; - recvptr = graph->recvptr; - - /* Use wspace->indices as the tmp space for matching info of the boundary - * vertices that are sent and received */ - rmatch = match + nvtxs; - smatch = wspace->indices; - changed = smatch+graph->nsend; - - /* Use wspace->indices as the tmp space for match requests of the boundary - * vertices that are sent and received */ - match_requests = wspace->pairs; - match_granted = match_requests + graph->nsend; - - nreqs_pe = ismalloc(nnbrs, 0, "Match_HEM: nreqs_pe"); - - nkept = graph->gnvtxs/ctrl->npes - nvtxs; - - perm = (idxtype *)wspace->degrees; - iperm = perm + nvtxs; - FastRandomPermute(nvtxs, perm, 1); - for (i=0; i<nvtxs; i++) - iperm[perm[i]] = i; - - nperm = iperm + nvtxs; - for (i=0; i<nnbrs; i++) - nperm[i] = i; - - /************************************************************* - * Go now and find a matching by doing multiple iterations - *************************************************************/ - /* First nullify the heavy vertices */ - for (nchanged=i=0; i<nvtxs; i++) { - for (h=0; h<ncon; h++) - if (nvwgt[i*ncon+h] > maxnvwgt) { - break; - } - - if (h != ncon) { - match[i] = TOO_HEAVY; - nchanged++; - } - } - if (GlobalSESum(ctrl, nchanged) > 0) { - IFSET(ctrl->dbglvl, DBG_PROGRESS, - rprintf(ctrl, "We found %d heavy vertices!\n", GlobalSESum(ctrl, nchanged))); - CommInterfaceData(ctrl, graph, match, smatch, rmatch); - } - - - for (nmatched=pass=0; pass<NMATCH_PASSES; pass++) { - wside = (graph->level+pass)%2; - nchanged = nrequests = 0; - for (ii=nmatched; ii<nvtxs; ii++) { - i = perm[ii]; - if (match[i] == UNMATCHED) { /* Unmatched */ - maxidx = i; - maxi = -1; - - /* Find a heavy-edge matching */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = ladjncy[j]; - if (match[k] == UNMATCHED && - myhome[k] == myhome[i] && - (maxi == -1 || - adjwgt[maxi] < adjwgt[j] || - (maxidx < nvtxs && - k < nvtxs && - adjwgt[maxi] == adjwgt[j] && - BetterVBalance(ncon,nvwgt+i*ncon,nvwgt+maxidx*ncon,nvwgt+k*ncon) >= 0))) { - maxi = j; - maxidx = k; - } - } - - if (maxi != -1) { - k = ladjncy[maxi]; - if (k < nvtxs) { /* Take care the local vertices first */ - /* Here we give preference the local matching by granting it right away */ - if (i <= k) { - match[i] = firstvtx+k + KEEP_BIT; - match[k] = firstvtx+i; - } - else { - match[i] = firstvtx+k; - match[k] = firstvtx+i + KEEP_BIT; - } - changed[nchanged++] = i; - changed[nchanged++] = k; - } - else { /* Take care any remote boundary vertices */ - match[k] = MAYBE_MATCHED; - /* Alternate among which vertices will issue the requests */ - if ((wside ==0 && firstvtx+i < graph->imap[k]) || (wside == 1 && firstvtx+i > graph->imap[k])) { - match[i] = MAYBE_MATCHED; - match_requests[nrequests].key = graph->imap[k]; - match_requests[nrequests].val = firstvtx+i; - nrequests++; - } - } - } - } - } - - -#ifdef DEBUG_MATCH - PrintVector2(ctrl, nvtxs, firstvtx, match, "Match1"); - myprintf(ctrl, "[c: %2d] Nlocal: %d, Nrequests: %d\n", c, nlocal, nrequests); -#endif - - - /*********************************************************** - * Exchange the match_requests, requests for me are stored in - * match_granted - ************************************************************/ - /* Issue the receives first. Note that from each PE can receive a maximum - of the interface node that it needs to send it in the case of a mat-vec */ - for (i=0; i<nnbrs; i++) { - MPI_Irecv((void *)(match_granted+recvptr[i]), 2*(recvptr[i+1]-recvptr[i]), IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - /* Issue the sends next. This needs some work */ - ikeysort(nrequests, match_requests); - for (j=i=0; i<nnbrs; i++) { - otherlastvtx = vtxdist[peind[i]+1]; - for (k=j; k<nrequests && match_requests[k].key < otherlastvtx; k++); - MPI_Isend((void *)(match_requests+j), 2*(k-j), IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - j = k; - } - - /* OK, now get into the loop waiting for the operations to finish */ - MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); - for (i=0; i<nnbrs; i++) { - MPI_Get_count(ctrl->statuses+i, IDX_DATATYPE, nreqs_pe+i); - nreqs_pe[i] = nreqs_pe[i]/2; /* Adjust for pairs of IDX_DATATYPE */ - } - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); - - - /*********************************************************** - * Now, go and service the requests that you received in - * match_granted - ************************************************************/ - RandomPermute(nnbrs, nperm, 0); - for (ii=0; ii<nnbrs; ii++) { - i = nperm[ii]; - pe_requests = match_granted+recvptr[i]; - for (j=0; j<nreqs_pe[i]; j++) { - k = pe_requests[j].key; - ASSERTP(ctrl, k >= firstvtx && k < lastvtx, (ctrl, "%d %d %d %d %d\n", firstvtx, lastvtx, k, j, peind[i])); - /* myprintf(ctrl, "Requesting a match %d %d\n", pe_requests[j].key, pe_requests[j].val); */ - if (match[k-firstvtx] == UNMATCHED) { /* Bingo, lets grant this request */ - changed[nchanged++] = k-firstvtx; - if (nkept >= 0) { /* Flip a coin for who gets it */ - match[k-firstvtx] = pe_requests[j].val + KEEP_BIT; - nkept--; - } - else { - match[k-firstvtx] = pe_requests[j].val; - pe_requests[j].key += KEEP_BIT; - nkept++; - } - /* myprintf(ctrl, "Request from pe:%d (%d %d) granted!\n", peind[i], pe_requests[j].val, pe_requests[j].key); */ - } - else { /* We are not granting the request */ - /* myprintf(ctrl, "Request from pe:%d (%d %d) not granted!\n", peind[i], pe_requests[j].val, pe_requests[j].key); */ - pe_requests[j].key = UNMATCHED; - } - } - } - - - /*********************************************************** - * Exchange the match_granted information. It is stored in - * match_requests - ************************************************************/ - /* Issue the receives first. Note that from each PE can receive a maximum - of the interface node that it needs to send during the case of a mat-vec */ - for (i=0; i<nnbrs; i++) { - MPI_Irecv((void *)(match_requests+sendptr[i]), 2*(sendptr[i+1]-sendptr[i]), IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - /* Issue the sends next. */ - for (i=0; i<nnbrs; i++) { - MPI_Isend((void *)(match_granted+recvptr[i]), 2*nreqs_pe[i], IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->sreq+i); - } - - /* OK, now get into the loop waiting for the operations to finish */ - MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); - for (i=0; i<nnbrs; i++) { - MPI_Get_count(ctrl->statuses+i, IDX_DATATYPE, nreqs_pe+i); - nreqs_pe[i] = nreqs_pe[i]/2; /* Adjust for pairs of IDX_DATATYPE */ - } - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); - - - /*********************************************************** - * Now, go and through the match_requests and update local - * match information for the matchings that were granted. - ************************************************************/ - for (i=0; i<nnbrs; i++) { - pe_requests = match_requests+sendptr[i]; - for (j=0; j<nreqs_pe[i]; j++) { - match[pe_requests[j].val-firstvtx] = pe_requests[j].key; - if (pe_requests[j].key != UNMATCHED) - changed[nchanged++] = pe_requests[j].val-firstvtx; - } - } - - for (i=0; i<nchanged; i++) { - ii = iperm[changed[i]]; - perm[ii] = perm[nmatched]; - iperm[perm[nmatched]] = ii; - nmatched++; - } - - CommChangedInterfaceData(ctrl, graph, nchanged, changed, match, match_requests, match_granted, wspace->pv4); - } - - /* Traverse the vertices and those that were unmatched, match them with themselves */ - cnvtxs = 0; - for (i=0; i<nvtxs; i++) { - if (match[i] == UNMATCHED || match[i] == TOO_HEAVY) { - match[i] = (firstvtx+i) + KEEP_BIT; - cnvtxs++; - } - else if (match[i] >= KEEP_BIT) { /* A matched vertex which I get to keep */ - cnvtxs++; - } - } - - if (ctrl->dbglvl&DBG_MATCHINFO) { - PrintVector2(ctrl, nvtxs, firstvtx, match, "Match"); - myprintf(ctrl, "Cnvtxs: %d\n", cnvtxs); - rprintf(ctrl, "Done with matching...\n"); - } - - GKfree((void **)(&myhome), (void **)(&nreqs_pe), LTERM); - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr)); - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ContractTmr)); - - Moc_Global_CreateCoarseGraph(ctrl, graph, wspace, cnvtxs); - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ContractTmr)); - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mdiffusion.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mdiffusion.c deleted file mode 100644 index 6c02138..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mdiffusion.c +++ /dev/null @@ -1,455 +0,0 @@ -/* * Copyright 1997, Regents of the University of Minnesota - * - * mdiffusion.c - * - * This file contains code that performs mc-diffusion - * - * Started 9/16/99 - * George - * - * $Id: mdiffusion.c,v 1.2 2003/07/21 17:18:50 karypis Exp $ - */ - -#include <parmetislib.h> - -#define PE -1 - -/************************************************************************* -* This function is the entry point of the initial partitioning algorithm. -* This algorithm assembles the graph to all the processors and preceed -* serially. -**************************************************************************/ -int Moc_Diffusion(CtrlType *ctrl, GraphType *graph, idxtype *vtxdist, - idxtype *where, idxtype *home, WorkSpaceType *wspace, int npasses) -{ - int h, i, j; - int nvtxs, nedges, ncon, pass, iter, domain, processor; - int nparts, mype, npes, nlinks, me, you, wsize; - int nvisited, nswaps = -1, tnswaps, done, alldone = -1; - idxtype *rowptr, *colind, *diff_where, *sr_where, *ehome, *map, *rmap; - idxtype *pack, *unpack, *match, *proc2sub, *sub2proc; - idxtype *visited, *gvisited; - float *transfer, *npwgts, maxdiff, minflow, maxflow; - float lbavg, oldlbavg, ubavg, lbvec[MAXNCON]; - float diff_flows[MAXNCON], sr_flows[MAXNCON]; - float diff_lbavg, sr_lbavg, diff_cost, sr_cost; - idxtype *rbuffer, *sbuffer; - int *rcount, *rdispl; - float *solution, *load, *workspace; - EdgeType *degrees; - MatrixType matrix; - GraphType *egraph; - RInfoType *rinfo; - - if (graph->ncon > 3) - return 0; - - nvtxs = graph->nvtxs; - nedges = graph->nedges; - ncon = graph->ncon; - - nparts = ctrl->nparts; - mype = ctrl->mype; - npes = ctrl->npes; - ubavg = savg(ncon, ctrl->ubvec); - - /********************************************/ - /* initialize variables and allocate memory */ - /********************************************/ - load = fmalloc(nparts*(2+ncon)+nedges*(1+ncon), "load"); - solution = load + nparts; - npwgts = graph->gnpwgts = load + 2*nparts; - matrix.values = load + (2+ncon)*nparts; - transfer = matrix.transfer = load + (2+ncon)*nparts + nedges; - - proc2sub = idxmalloc(amax(nparts, npes*2), "Mc_Diffusion: proc2sub"); - sub2proc = idxmalloc(nparts*3+nedges+1, "Mc_Diffusion: match"); - match = sub2proc + nparts; - rowptr = matrix.rowptr = sub2proc + 2*nparts; - colind = matrix.colind = sub2proc + 3*nparts + 1; - - rcount = imalloc(2*npes+1, "Mc_Diffusion: rcount"); - rdispl = rcount + npes; - - pack = idxmalloc(nvtxs*8, "Mc_Diffusion: pack"); - unpack = pack + nvtxs; - rbuffer = pack + 2*nvtxs; - sbuffer = pack + 3*nvtxs; - map = pack + 4*nvtxs; - rmap = pack + 5*nvtxs; - diff_where = pack + 6*nvtxs; - ehome = pack + 7*nvtxs; - - wsize = amax(sizeof(float)*nparts*6, sizeof(idxtype)*(nvtxs+nparts*2+1)); - workspace = (float *)GKmalloc(wsize, "Moc_Diffusion: workspace"); - degrees = GKmalloc(nedges*sizeof(EdgeType), "Mc_Diffusion: degrees"); - rinfo = graph->rinfo = GKmalloc(nvtxs*sizeof(RInfoType), "Mc_Diffusion: rinfo"); - - /******************************************/ - /* construct subdomain connectivity graph */ - /******************************************/ - matrix.nrows = nparts; - SetUpConnectGraph(graph, &matrix, (idxtype *)workspace); - nlinks = (matrix.nnzs-nparts) / 2; - - visited = idxmalloc(matrix.nnzs*2, "visited"); - gvisited = visited + matrix.nnzs; - - for (pass=0; pass<npasses; pass++) { - sset(matrix.nnzs*ncon, 0.0, transfer); - idxset(matrix.nnzs, 0, gvisited); - idxset(matrix.nnzs, 0, visited); - iter = nvisited = 0; - - /*******************************/ - /* compute ncon flow solutions */ - /*******************************/ - for (h=0; h<ncon; h++) { - sset(nparts, 0.0, solution); - ComputeLoad(graph, nparts, load, ctrl->tpwgts, h); - - lbvec[h] = (load[samax(nparts, load)]+1.0/(float)nparts) * (float)nparts; - - ConjGrad2(&matrix, load, solution, 0.001, workspace); - ComputeTransferVector(ncon, &matrix, solution, transfer, h); - } - - oldlbavg = savg(ncon, lbvec); - tnswaps = 0; - maxdiff = 0.0; - for (i=0; i<nparts; i++) { - for (j=rowptr[i]; j<rowptr[i+1]; j++) { - minflow = transfer[j*ncon+samin(ncon, transfer+j*ncon)]; - maxflow = transfer[j*ncon+samax(ncon, transfer+j*ncon)]; - maxdiff = (maxflow - minflow > maxdiff) ? maxflow - minflow : maxdiff; - } - } - - while (nvisited < nlinks) { - - /******************************************/ - /* compute independent sets of subdomains */ - /******************************************/ - idxset(amax(nparts, npes*2), UNMATCHED, proc2sub); - CSR_Match_SHEM(&matrix, match, proc2sub, gvisited, ncon); - - /*****************************/ - /* Set up the packing arrays */ - /*****************************/ - idxset(nparts, UNMATCHED, sub2proc); - for (i=0; i<npes*2; i++) { - if (proc2sub[i] == UNMATCHED) - break; - - sub2proc[proc2sub[i]] = i/2; - } - - iset(npes, 0, rcount); - for (i=0; i<nvtxs; i++) { - domain = where[i]; - processor = sub2proc[domain]; - if (processor != UNMATCHED) { - rcount[processor]++; - } - } - - rdispl[0] = 0; - for (i=1; i<npes+1; i++) - rdispl[i] = rdispl[i-1] + rcount[i-1]; - - idxset(nvtxs, UNMATCHED, unpack); - for (i=0; i<nvtxs; i++) { - domain = where[i]; - processor = sub2proc[domain]; - if (processor != UNMATCHED) { - unpack[rdispl[processor]++] = i; - } - } - - for (i=npes; i>0; i--) - rdispl[i] = rdispl[i-1]; - rdispl[0] = 0; - - idxset(nvtxs, UNMATCHED, pack); - for (i=0; i<rdispl[npes]; i++) { - ASSERTS(unpack[i] != UNMATCHED); - domain = where[unpack[i]]; - processor = sub2proc[domain]; - if (processor != UNMATCHED) { - pack[unpack[i]] = i; - } - } - - /*********************/ - /* Compute the flows */ - /*********************/ - if (proc2sub[mype*2] != UNMATCHED) { - me = proc2sub[mype*2]; - you = proc2sub[mype*2+1]; - ASSERTS(me != you); - - for (j=rowptr[me]; j<rowptr[me+1]; j++) { - if (colind[j] == you) { - visited[j] = 1; - scopy(ncon, transfer+j*ncon, diff_flows); - break; - } - } - - for (j=rowptr[you]; j<rowptr[you+1]; j++) { - if (colind[j] == me) { - visited[j] = 1; - for (h=0; h<ncon; h++) - if (transfer[j*ncon+h] > 0.0) - diff_flows[h] = -1.0 * transfer[j*ncon+h]; - break; - } - } - - nswaps = 1; - scopy(ncon, diff_flows, sr_flows); - - idxset(nvtxs, 0, sbuffer); - for (i=0; i<nvtxs; i++) - if (where[i] == me || where[i] == you) - sbuffer[i] = 1; - - egraph = ExtractGraph(ctrl, graph, sbuffer, map, rmap); - - if (egraph != NULL) { - idxcopy(egraph->nvtxs, egraph->where, diff_where); - for (j=0; j<egraph->nvtxs; j++) - ehome[j] = home[map[j]]; - - RedoMyLink(ctrl, egraph, ehome, me, you, sr_flows, &sr_cost, &sr_lbavg); - - if (ncon <= 4) { - sr_where = egraph->where; - egraph->where = diff_where; - - nswaps = BalanceMyLink(ctrl, egraph, ehome, me, you, diff_flows, maxdiff, &diff_cost, &diff_lbavg, 1.0/(float)nvtxs); - - if ((sr_lbavg < diff_lbavg && - (diff_lbavg >= ubavg-1.0 || sr_cost == diff_cost)) || - (sr_lbavg < ubavg-1.0 && sr_cost < diff_cost)) { - for (i=0; i<egraph->nvtxs; i++) - where[map[i]] = sr_where[i]; - } - else { - for (i=0; i<egraph->nvtxs; i++) - where[map[i]] = diff_where[i]; - } - } - else { - for (i=0; i<egraph->nvtxs; i++) - where[map[i]] = egraph->where[i]; - } - - GKfree((void **)&egraph->xadj, (void **)&egraph->nvwgt, (void **)&egraph->adjncy, LTERM); - GKfree((void **)&egraph, LTERM); - } - - /**********************/ - /* Pack the flow data */ - /**********************/ - idxset(nvtxs, UNMATCHED, sbuffer); - for (i=0; i<nvtxs; i++) { - domain = where[i]; - if (domain == you || domain == me) { - sbuffer[pack[i]] = where[i]; - } - } - } - - /***************************/ - /* Broadcast the flow data */ - /***************************/ - MPI_Allgatherv((void *)&sbuffer[rdispl[mype]], rcount[mype], IDX_DATATYPE, (void *)rbuffer, rcount, rdispl, IDX_DATATYPE, ctrl->comm); - - - /************************/ - /* Unpack the flow data */ - /************************/ - for (i=0; i<rdispl[npes]; i++) { - if (rbuffer[i] != UNMATCHED) { - where[unpack[i]] = rbuffer[i]; - } - } - - - /******************/ - /* Do other stuff */ - /******************/ - MPI_Allreduce((void *)visited, (void *)gvisited, matrix.nnzs, - IDX_DATATYPE, MPI_MAX, ctrl->comm); - nvisited = idxsum(matrix.nnzs, gvisited)/2; - tnswaps += GlobalSESum(ctrl, nswaps); - - if (iter++ == NGD_PASSES) - break; - } - - /*****************************/ - /* perform serial refinement */ - /*****************************/ - Moc_ComputeSerialPartitionParams(graph, nparts, degrees); - Moc_SerialKWayAdaptRefine(graph, nparts, home, ctrl->ubvec, 10); - - - /****************************/ - /* check for early breakout */ - /****************************/ - for (h=0; h<ncon; h++) { - lbvec[h] = (float)(nparts) * - npwgts[samax_strd(nparts,npwgts+h,ncon)*ncon+h]; - } - lbavg = savg(ncon, lbvec); - - done = 0; - if ( - tnswaps == 0 || - lbavg >= oldlbavg || - lbavg <= ubavg + 0.035 - ) - done = 1; - - alldone = GlobalSEMax(ctrl, done); - if (alldone == 1) - break; - } - - /*******************************************************/ - /* ensure that all subdomains have at least one vertex */ - /*******************************************************/ -/* - idxset(nparts, 0, match); - for (i=0; i<nvtxs; i++) - match[where[i]]++; - - done = 0; - while (done == 0) { - done = 1; - - me = idxamin(nparts, match); - if (match[me] == 0) { -if (ctrl->mype == PE) printf("WARNING: empty subdomain %d in Moc_Diffusion\n", me); - you = idxamax(nparts, match); - for (i=0; i<nvtxs; i++) { - if (where[i] == you) { - where[i] = me; - match[you]--; - match[me]++; - done = 0; - break; - } - } - } - } -*/ - - /******************************/ - /* now free memory and return */ - /******************************/ - GKfree((void **)&load, (void **)&proc2sub, (void **)&sub2proc, (void **)&rcount, LTERM); - GKfree((void **)&pack, (void **)&workspace, (void **)°rees, (void **)&rinfo, LTERM); - GKfree((void **)&visited, LTERM); - graph->gnpwgts = NULL; - graph->rinfo = NULL; - - return 0; -} - - -/************************************************************************* -* This function extracts a subgraph from a graph given an indicator array. -**************************************************************************/ -GraphType *ExtractGraph(CtrlType *ctrl, GraphType *graph, idxtype *indicator, - idxtype *map, idxtype *rmap) -{ - int h, i, j; - int nvtxs, envtxs, enedges, ncon; - int vtx, count; - idxtype *xadj, *vsize, *adjncy, *adjwgt, *where; - idxtype *exadj, *evsize, *eadjncy, *eadjwgt, *ewhere; - float *nvwgt, *envwgt; - GraphType *egraph; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - vsize = graph->vsize; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - - count = 0; - for (i=0; i<nvtxs; i++) { - if (indicator[i] == 1) { - map[count] = i; - rmap[i] = count; - count++; - } - } - - if (count == 0) { - return NULL; - } - - /*******************/ - /* allocate memory */ - /*******************/ - egraph = CreateGraph(); - envtxs = egraph->nvtxs = count; - egraph->ncon = graph->ncon; - - exadj = egraph->xadj = idxmalloc(envtxs*3+1, "exadj"); - ewhere = egraph->where = exadj + envtxs + 1; - evsize = egraph->vsize = exadj + 2*envtxs + 1; - - envwgt = egraph->nvwgt = fmalloc(envtxs*ncon, "envwgt"); - - /************************************************/ - /* compute xadj, where, nvwgt, and vsize arrays */ - /************************************************/ - idxset(envtxs+1, 0, exadj); - for (i=0; i<envtxs; i++) { - vtx = map[i]; - - ewhere[i] = where[vtx]; - for (h=0; h<ncon; h++) - envwgt[i*ncon+h] = nvwgt[vtx*ncon+h]; - - if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) - evsize[i] = vsize[vtx]; - - for (j=xadj[vtx]; j<xadj[vtx+1]; j++) - if (indicator[adjncy[j]] == 1) - exadj[i]++; - - } - MAKECSR(i, envtxs, exadj); - - /************************************/ - /* compute adjncy and adjwgt arrays */ - /************************************/ - enedges = egraph->nedges = exadj[envtxs]; - eadjncy = egraph->adjncy = idxmalloc(enedges*2, "eadjncy"); - eadjwgt = egraph->adjwgt = eadjncy + enedges; - - for (i=0; i<envtxs; i++) { - vtx = map[i]; - for (j=xadj[vtx]; j<xadj[vtx+1]; j++) { - if (indicator[adjncy[j]] == 1) { - eadjncy[exadj[i]] = rmap[adjncy[j]]; - eadjwgt[exadj[i]++] = adjwgt[j]; - } - } - } - - for (i=envtxs; i>0; i--) - exadj[i] = exadj[i-1]; - exadj[0] = 0; - - return egraph; -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mdrivers.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mdrivers.c deleted file mode 100644 index 467df79..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mdrivers.c +++ /dev/null @@ -1,116 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mdrivers.c - * - * This file contains the driving routines for the various parallel - * multilevel partitioning and repartitioning algorithms - * - * Started 11/19/96 - * George - * - * $Id: mdrivers.c,v 1.3 2003/07/22 20:29:06 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - -/************************************************************************* -* This function is the driver to the multi-constraint partitioning algorithm. -**************************************************************************/ -void Moc_Global_Partition(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, ncon, nparts; - float ftmp, ubavg, lbavg, lbvec[MAXNCON]; - - ncon = graph->ncon; - nparts = ctrl->nparts; - ubavg = savg(graph->ncon, ctrl->ubvec); - - SetUp(ctrl, graph, wspace); - - if (ctrl->dbglvl&DBG_PROGRESS) { - rprintf(ctrl, "[%6d %8d %5d %5d] [%d] [", graph->gnvtxs, GlobalSESum(ctrl, graph->nedges), - GlobalSEMin(ctrl, graph->nvtxs), GlobalSEMax(ctrl, graph->nvtxs), ctrl->CoarsenTo); - for (i=0; i<ncon; i++) - rprintf(ctrl, " %.3f", GlobalSEMinFloat(ctrl,graph->nvwgt[samin_strd(graph->nvtxs, graph->nvwgt+i, ncon)*ncon+i])); - rprintf(ctrl, "] ["); - for (i=0; i<ncon; i++) - rprintf(ctrl, " %.3f", GlobalSEMaxFloat(ctrl, graph->nvwgt[samax_strd(graph->nvtxs, graph->nvwgt+i, ncon)*ncon+i])); - rprintf(ctrl, "]\n"); - } - - if (graph->gnvtxs < 1.3*ctrl->CoarsenTo || - (graph->finer != NULL && - graph->gnvtxs > graph->finer->gnvtxs*COARSEN_FRACTION)) { - - /* Done with coarsening. Find a partition */ - graph->where = idxmalloc(graph->nvtxs+graph->nrecv, "graph->where"); - Moc_InitPartition_RB(ctrl, graph, wspace); - - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, balance: ", graph->gnvtxs); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - - /* In case no coarsening took place */ - if (graph->finer == NULL) { - Moc_ComputePartitionParams(ctrl, graph, wspace); - Moc_KWayFM(ctrl, graph, wspace, NGR_PASSES); - } - } - else { - Moc_GlobalMatch_Balance(ctrl, graph, wspace); - - Moc_Global_Partition(ctrl, graph->coarser, wspace); - - Moc_ProjectPartition(ctrl, graph, wspace); - Moc_ComputePartitionParams(ctrl, graph, wspace); - - if (graph->ncon > 1 && graph->level < 3) { - for (i=0; i<ncon; i++) { - ftmp = ssum_strd(nparts, graph->gnpwgts+i, ncon); - if (ftmp != 0.0) - lbvec[i] = (float)(nparts) * - graph->gnpwgts[samax_strd(nparts, graph->gnpwgts+i, ncon)*ncon+i]/ftmp; - else - lbvec[i] = 1.0; - } - lbavg = savg(graph->ncon, lbvec); - - if (lbavg > ubavg + 0.035) { - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, cut: %8d, balance: ", graph->gnvtxs, graph->mincut); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - - Moc_KWayBalance(ctrl, graph, wspace, graph->ncon); - } - } - - Moc_KWayFM(ctrl, graph, wspace, NGR_PASSES); - - if (ctrl->dbglvl&DBG_PROGRESS) { - Moc_ComputeParallelBalance(ctrl, graph, graph->where, lbvec); - rprintf(ctrl, "nvtxs: %10d, cut: %8d, balance: ", graph->gnvtxs, graph->mincut); - for (i=0; i<graph->ncon; i++) - rprintf(ctrl, "%.3f ", lbvec[i]); - rprintf(ctrl, "\n"); - } - - if (graph->level != 0) - GKfree((void **)&graph->lnpwgts, (void **)&graph->gnpwgts, LTERM); - } - - return; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/memory.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/memory.c deleted file mode 100644 index a8eeaff..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/memory.c +++ /dev/null @@ -1,216 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * memory.c - * - * This file contains routines that deal with memory allocation - * - * Started 2/24/96 - * George - * - * $Id: memory.c,v 1.3 2003/07/30 18:37:59 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function allocate various pools of memory -**************************************************************************/ -void PreAllocateMemory(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - wspace->nlarge = 2*graph->nedges; - - wspace->maxcore = 8*graph->nedges+1; - wspace->core = idxmalloc(wspace->maxcore, "PreAllocateMemory: wspace->core"); - - wspace->pairs = (KeyValueType *)wspace->core; - wspace->indices = (idxtype *)(wspace->pairs + wspace->nlarge); - wspace->degrees = (EdgeType *)(wspace->indices + wspace->nlarge); - - - wspace->pv1 = idxmalloc(ctrl->nparts+ctrl->npes+1, "PreAllocateMemory: wspace->pv?"); - wspace->pv2 = idxmalloc(ctrl->nparts+ctrl->npes+1, "PreAllocateMemory: wspace->pv?"); - wspace->pv3 = idxmalloc(ctrl->nparts+ctrl->npes+1, "PreAllocateMemory: wspace->pv?"); - wspace->pv4 = idxmalloc(ctrl->nparts+ctrl->npes+1, "PreAllocateMemory: wspace->pv?"); - - wspace->pepairs1 = (KeyValueType *)GKmalloc(sizeof(KeyValueType)*(ctrl->nparts+ctrl->npes+1), "PreAllocateMemory: wspace->pepairs?"); - wspace->pepairs2 = (KeyValueType *)GKmalloc(sizeof(KeyValueType)*(ctrl->nparts+ctrl->npes+1), "PreAllocateMemory: wspace->pepairs?"); - -} - - -/************************************************************************* -* This function de-allocate various pools of memory -**************************************************************************/ -void FreeWSpace(WorkSpaceType *wspace) -{ - - GKfree((void **)&wspace->core, - (void **)&wspace->pv1, - (void **)&wspace->pv2, - (void **)&wspace->pv3, - (void **)&wspace->pv4, - (void **)&wspace->pepairs1, - (void **)&wspace->pepairs2, - LTERM); -} - - -/************************************************************************* -* This function de-allocates memory allocated for the control structures -**************************************************************************/ -void FreeCtrl(CtrlType *ctrl) -{ - MPI_Comm_free(&(ctrl->gcomm)); -} - - -/************************************************************************* -* This function creates a CoarseGraphType data structure and initializes -* the various fields -**************************************************************************/ -GraphType *CreateGraph(void) -{ - GraphType *graph; - - graph = (GraphType *)GKmalloc(sizeof(GraphType), "CreateCoarseGraph: graph"); - - InitGraph(graph); - - return graph; -} - - -/************************************************************************* -* This function creates a CoarseGraphType data structure and initializes -* the various fields -**************************************************************************/ -void InitGraph(GraphType *graph) -{ - graph->gnvtxs = graph->nvtxs = graph->nedges = graph->nsep = -1; - graph->nnbrs = graph->nrecv = graph->nsend = graph->nlocal = -1; - graph->xadj = graph->vwgt = graph->vsize = graph->adjncy = graph->adjwgt = NULL; - graph->nvwgt = NULL; - graph->vtxdist = NULL; - graph->match = graph->cmap = NULL; - graph->label = NULL; - - graph->peind = NULL; - graph->sendptr = graph->sendind = graph->recvptr = graph->recvind = NULL; - graph->imap = NULL; - graph->pexadj = graph->peadjncy = graph->peadjloc = NULL; - graph->lperm = NULL; - - graph->slens = graph->rlens = NULL; - graph->rcand = NULL; - - graph->where = graph->home = graph->lpwgts = graph->gpwgts = NULL; - graph->lnpwgts = graph->gnpwgts = NULL; - graph->rinfo = NULL; - - graph->nrinfo = NULL; - graph->sepind = NULL; - - graph->coarser = graph->finer = NULL; - -} - -/************************************************************************* -* This function deallocates any memory stored in a graph -**************************************************************************/ -void FreeGraph(GraphType *graph) -{ - - GKfree((void **)&graph->xadj, - (void **)&graph->vwgt, - (void **)&graph->nvwgt, - (void **)&graph->vsize, - (void **)&graph->adjncy, - (void **)&graph->adjwgt, - (void **)&graph->vtxdist, - (void **)&graph->match, - (void **)&graph->cmap, - (void **)&graph->lperm, - (void **)&graph->label, - (void **)&graph->where, - (void **)&graph->home, - (void **)&graph->rinfo, - (void **)&graph->nrinfo, - (void **)&graph->sepind, - (void **)&graph->lpwgts, - (void **)&graph->gpwgts, - (void **)&graph->lnpwgts, - (void **)&graph->gnpwgts, - (void **)&graph->peind, - (void **)&graph->sendptr, - (void **)&graph->sendind, - (void **)&graph->recvptr, - (void **)&graph->recvind, - (void **)&graph->imap, - (void **)&graph->rlens, - (void **)&graph->slens, - (void **)&graph->rcand, - (void **)&graph->pexadj, - (void **)&graph->peadjncy, - (void **)&graph->peadjloc, - LTERM); - - free(graph); -} - - - -/************************************************************************* -* This function deallocates any memory stored in a graph -**************************************************************************/ -void FreeInitialGraphAndRemap(GraphType *graph, int wgtflag) -{ - int i, nedges; - idxtype *adjncy, *imap; - - nedges = graph->nedges; - adjncy = graph->adjncy; - imap = graph->imap; - - if (imap != NULL) { - for (i=0; i<nedges; i++) - adjncy[i] = imap[adjncy[i]]; /* Apply local to global transformation */ - } - - /* Free Metis's things */ - GKfree((void **)&graph->match, - (void **)&graph->cmap, - (void **)&graph->lperm, - (void **)&graph->where, - (void **)&graph->label, - (void **)&graph->rinfo, - (void **)&graph->nrinfo, - (void **)&graph->nvwgt, - (void **)&graph->lpwgts, - (void **)&graph->gpwgts, - (void **)&graph->lnpwgts, - (void **)&graph->gnpwgts, - (void **)&graph->sepind, - (void **)&graph->peind, - (void **)&graph->sendptr, - (void **)&graph->sendind, - (void **)&graph->recvptr, - (void **)&graph->recvind, - (void **)&graph->imap, - (void **)&graph->rlens, - (void **)&graph->slens, - (void **)&graph->rcand, - (void **)&graph->pexadj, - (void **)&graph->peadjncy, - (void **)&graph->peadjloc, - LTERM); - - if ((wgtflag&2) == 0) - GKfree((void **)&graph->vwgt, (void **)&graph->vsize, LTERM); - if ((wgtflag&1) == 0) - GKfree((void **)&graph->adjwgt, LTERM); - - free(graph); -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mesh.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mesh.c deleted file mode 100644 index 57a80c0..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mesh.c +++ /dev/null @@ -1,335 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mesh.c - * - * This file contains routines for constructing the dual graph of a mesh. - * Assumes that each processor has at least one mesh element. - * - * Started 10/19/94 - * George - * - * $Id: mesh.c,v 1.11 2003/07/25 04:01:04 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function converts a mesh into a dual graph -**************************************************************************/ -void ParMETIS_V3_Mesh2Dual(idxtype *elmdist, idxtype *eptr, idxtype *eind, - int *numflag, int *ncommonnodes, idxtype **xadj, - idxtype **adjncy, MPI_Comm *comm) -{ - int i, j, jj, k, kk, m; - int npes, mype, pe, count, mask, pass; - int nelms, lnns, my_nns, node; - int firstelm, firstnode, lnode, nrecv, nsend; - int *scounts, *rcounts, *sdispl, *rdispl; - idxtype *nodedist, *nmap, *auxarray; - idxtype *gnptr, *gnind, *nptr, *nind, *myxadj, *myadjncy = NULL; - idxtype *sbuffer, *rbuffer, *htable; - KeyValueType *nodelist, *recvbuffer; - idxtype ind[200], wgt[200]; - int gmaxnode, gminnode; - CtrlType ctrl; - - - SetUpCtrl(&ctrl, -1, 0, *comm); - - npes = ctrl.npes; - mype = ctrl.mype; - - nelms = elmdist[mype+1]-elmdist[mype]; - - if (*numflag == 1) - ChangeNumberingMesh2(elmdist, eptr, eind, NULL, NULL, NULL, npes, mype, 1); - - mask = (1<<11)-1; - - /*****************************/ - /* Determine number of nodes */ - /*****************************/ - gminnode = GlobalSEMin(&ctrl, eind[idxamin(eptr[nelms], eind)]); - for (i=0; i<eptr[nelms]; i++) - eind[i] -= gminnode; - - gmaxnode = GlobalSEMax(&ctrl, eind[idxamax(eptr[nelms], eind)]); - - - /**************************/ - /* Check for input errors */ - /**************************/ - ASSERTS(nelms > 0); - - /* construct node distribution array */ - nodedist = idxsmalloc(npes+1, 0, "nodedist"); - for (nodedist[0]=0, i=0,j=gmaxnode+1; i<npes; i++) { - k = j/(npes-i); - nodedist[i+1] = nodedist[i]+k; - j -= k; - } - my_nns = nodedist[mype+1]-nodedist[mype]; - firstnode = nodedist[mype]; - - nodelist = (KeyValueType *)GKmalloc(eptr[nelms]*sizeof(KeyValueType), "nodelist"); - auxarray = idxmalloc(eptr[nelms], "auxarray"); - htable = idxsmalloc(amax(my_nns, mask+1), -1, "htable"); - scounts = imalloc(4*npes+2, "scounts"); - rcounts = scounts+npes; - sdispl = scounts+2*npes; - rdispl = scounts+3*npes+1; - - - /*********************************************/ - /* first find a local numbering of the nodes */ - /*********************************************/ - for (i=0; i<nelms; i++) { - for (j=eptr[i]; j<eptr[i+1]; j++) { - nodelist[j].key = eind[j]; - nodelist[j].val = j; - auxarray[j] = i; /* remember the local element ID that uses this node */ - } - } - ikeysort(eptr[nelms], nodelist); - - for (count=1, i=1; i<eptr[nelms]; i++) { - if (nodelist[i].key > nodelist[i-1].key) - count++; - } - - lnns = count; - nmap = idxmalloc(lnns, "nmap"); - - /* renumber the nodes of the elements array */ - count = 1; - nmap[0] = nodelist[0].key; - eind[nodelist[0].val] = 0; - nodelist[0].val = auxarray[nodelist[0].val]; /* Store the local element ID */ - for (i=1; i<eptr[nelms]; i++) { - if (nodelist[i].key > nodelist[i-1].key) { - nmap[count] = nodelist[i].key; - count++; - } - eind[nodelist[i].val] = count-1; - nodelist[i].val = auxarray[nodelist[i].val]; /* Store the local element ID */ - } - MPI_Barrier(*comm); - - /**********************************************************/ - /* perform comms necessary to construct node-element list */ - /**********************************************************/ - iset(npes, 0, scounts); - for (pe=i=0; i<eptr[nelms]; i++) { - while (nodelist[i].key >= nodedist[pe+1]) - pe++; - scounts[pe] += 2; - } - ASSERTS(pe < npes); - - MPI_Alltoall((void *)scounts, 1, MPI_INT, (void *)rcounts, 1, MPI_INT, *comm); - - icopy(npes, scounts, sdispl); - MAKECSR(i, npes, sdispl); - - icopy(npes, rcounts, rdispl); - MAKECSR(i, npes, rdispl); - - ASSERTS(sdispl[npes] == eptr[nelms]*2); - - nrecv = rdispl[npes]/2; - recvbuffer = (KeyValueType *)GKmalloc(amax(1, nrecv)*sizeof(KeyValueType), "recvbuffer"); - - MPI_Alltoallv((void *)nodelist, scounts, sdispl, IDX_DATATYPE, (void *)recvbuffer, - rcounts, rdispl, IDX_DATATYPE, *comm); - - /**************************************/ - /* construct global node-element list */ - /**************************************/ - gnptr = idxsmalloc(my_nns+1, 0, "gnptr"); - - for (i=0; i<npes; i++) { - for (j=rdispl[i]/2; j<rdispl[i+1]/2; j++) { - lnode = recvbuffer[j].key-firstnode; - ASSERTS(lnode >= 0 && lnode < my_nns) - - gnptr[lnode]++; - } - } - MAKECSR(i, my_nns, gnptr); - - gnind = idxmalloc(amax(1, gnptr[my_nns]), "gnind"); - for (pe=0; pe<npes; pe++) { - firstelm = elmdist[pe]; - for (j=rdispl[pe]/2; j<rdispl[pe+1]/2; j++) { - lnode = recvbuffer[j].key-firstnode; - gnind[gnptr[lnode]++] = recvbuffer[j].val+firstelm; - } - } - SHIFTCSR(i, my_nns, gnptr); - - - /*********************************************************/ - /* send the node-element info to the relevant processors */ - /*********************************************************/ - iset(npes, 0, scounts); - - /* use a hash table to ensure that each node is sent to a proc only once */ - for (pe=0; pe<npes; pe++) { - for (j=rdispl[pe]/2; j<rdispl[pe+1]/2; j++) { - lnode = recvbuffer[j].key-firstnode; - if (htable[lnode] == -1) { - scounts[pe] += gnptr[lnode+1]-gnptr[lnode]; - htable[lnode] = 1; - } - } - - /* now reset the hash table */ - for (j=rdispl[pe]/2; j<rdispl[pe+1]/2; j++) { - lnode = recvbuffer[j].key-firstnode; - htable[lnode] = -1; - } - } - - - MPI_Alltoall((void *)scounts, 1, MPI_INT, (void *)rcounts, 1, MPI_INT, *comm); - - icopy(npes, scounts, sdispl); - MAKECSR(i, npes, sdispl); - - /* create the send buffer */ - nsend = sdispl[npes]; - sbuffer = (idxtype *)realloc(nodelist, sizeof(idxtype)*amax(1, nsend)); - - count = 0; - for (pe=0; pe<npes; pe++) { - for (j=rdispl[pe]/2; j<rdispl[pe+1]/2; j++) { - lnode = recvbuffer[j].key-firstnode; - if (htable[lnode] == -1) { - for (k=gnptr[lnode]; k<gnptr[lnode+1]; k++) { - if (k == gnptr[lnode]) - sbuffer[count++] = -1*(gnind[k]+1); - else - sbuffer[count++] = gnind[k]; - } - htable[lnode] = 1; - } - } - ASSERTS(count == sdispl[pe+1]); - - /* now reset the hash table */ - for (j=rdispl[pe]/2; j<rdispl[pe+1]/2; j++) { - lnode = recvbuffer[j].key-firstnode; - htable[lnode] = -1; - } - } - - icopy(npes, rcounts, rdispl); - MAKECSR(i, npes, rdispl); - - nrecv = rdispl[npes]; - rbuffer = (idxtype *)realloc(recvbuffer, sizeof(idxtype)*amax(1, nrecv)); - - MPI_Alltoallv((void *)sbuffer, scounts, sdispl, IDX_DATATYPE, (void *)rbuffer, - rcounts, rdispl, IDX_DATATYPE, *comm); - - k = -1; - nptr = idxsmalloc(lnns+1, 0, "nptr"); - nind = rbuffer; - for (pe=0; pe<npes; pe++) { - for (j=rdispl[pe]; j<rdispl[pe+1]; j++) { - if (nind[j] < 0) { - k++; - nind[j] = (-1*nind[j])-1; - } - nptr[k]++; - } - } - MAKECSR(i, lnns, nptr); - - ASSERTS(k+1 == lnns); - ASSERTS(nptr[lnns] == nrecv) - - myxadj = *xadj = idxsmalloc(nelms+1, 0, "xadj"); - idxset(mask+1, -1, htable); - - firstelm = elmdist[mype]; - - /* Two passes -- in first pass, simply find out the memory requirements */ - for (pass=0; pass<2; pass++) { - for (i=0; i<nelms; i++) { - for (count=0, j=eptr[i]; j<eptr[i+1]; j++) { - node = eind[j]; - - for (k=nptr[node]; k<nptr[node+1]; k++) { - if ((kk=nind[k]) == firstelm+i) - continue; - - m = htable[(kk&mask)]; - - if (m == -1) { - ind[count] = kk; - wgt[count] = 1; - htable[(kk&mask)] = count++; - } - else { - if (ind[m] == kk) { - wgt[m]++; - } - else { - for (jj=0; jj<count; jj++) { - if (ind[jj] == kk) { - wgt[jj]++; - break; - } - } - if (jj == count) { - ind[count] = kk; - wgt[count++] = 1; - } - } - } - } - } - - for (j=0; j<count; j++) { - htable[(ind[j]&mask)] = -1; - if (wgt[j] >= *ncommonnodes) { - if (pass == 0) - myxadj[i]++; - else - myadjncy[myxadj[i]++] = ind[j]; - } - } - } - - if (pass == 0) { - MAKECSR(i, nelms, myxadj); - myadjncy = *adjncy = idxmalloc(myxadj[nelms], "adjncy"); - } - else { - SHIFTCSR(i, nelms, myxadj); - } - } - - /*****************************************/ - /* correctly renumber the elements array */ - /*****************************************/ - for (i=0; i<eptr[nelms]; i++) - eind[i] = nmap[eind[i]] + gminnode; - - if (*numflag == 1) - ChangeNumberingMesh2(elmdist, eptr, eind, myxadj, myadjncy, NULL, npes, mype, 0); - - /* do not free nodelist, recvbuffer, rbuffer */ - GKfree((void **)&scounts, (void **)&nodedist, (void **)&nmap, (void **)&sbuffer, - (void **)&htable, (void **)&nptr, (void **)&nind, (void **)&gnptr, - (void **)&gnind, (void **)&auxarray, LTERM); - - FreeCtrl(&ctrl); - - return; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mmetis.c deleted file mode 100644 index b262ed1..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/mmetis.c +++ /dev/null @@ -1,95 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mmetis.c - * - * This is the entry point of ParMETIS_V3_PartMeshKway - * - * Started 10/19/96 - * George - * - * $Id: mmetis.c,v 1.8 2003/07/25 04:01:04 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/*********************************************************************************** -* This function is the entry point of the parallel k-way multilevel mesh partitionioner. -* This function assumes nothing about the mesh distribution. -* It is the general case. -************************************************************************************/ -void ParMETIS_V3_PartMeshKway(idxtype *elmdist, idxtype *eptr, idxtype *eind, idxtype *elmwgt, - int *wgtflag, int *numflag, int *ncon, int *ncommonnodes, int *nparts, - float *tpwgts, float *ubvec, int *options, int *edgecut, idxtype *part, - MPI_Comm *comm) -{ - int i, nvtxs, nedges, gnedges, npes, mype; - idxtype *xadj, *adjncy; - timer TotalTmr, Mesh2DualTmr, ParMETISTmr; - CtrlType ctrl; - - /********************************/ - /* Try and take care bad inputs */ - /********************************/ - if (elmdist == NULL || eptr == NULL || eind == NULL || wgtflag == NULL || - numflag == NULL || ncon == NULL || ncommonnodes == NULL || nparts == NULL || - tpwgts == NULL || ubvec == NULL || options == NULL || edgecut == NULL || - part == NULL || comm == NULL) { - printf("ERROR: One or more required parameters is NULL. Aborting.\n"); - abort(); - } - if (((*wgtflag)&2) && elmwgt == NULL) { - printf("ERROR: elmwgt == NULL when vertex weights were specified. Aborting.\n"); - abort(); - } - - - SetUpCtrl(&ctrl, *nparts, (options[0] == 1 ? options[PMV3_OPTION_DBGLVL] : 0), *comm); - npes = ctrl.npes; - mype = ctrl.mype; - - cleartimer(TotalTmr); - cleartimer(Mesh2DualTmr); - cleartimer(ParMETISTmr); - - MPI_Barrier(ctrl.comm); - starttimer(TotalTmr); - starttimer(Mesh2DualTmr); - - ParMETIS_V3_Mesh2Dual(elmdist, eptr, eind, numflag, ncommonnodes, &xadj, &adjncy, &(ctrl.comm)); - - if (ctrl.dbglvl&DBG_INFO) { - nvtxs = elmdist[mype+1]-elmdist[mype]; - nedges = xadj[nvtxs] + (*numflag == 0 ? 0 : -1); - rprintf(&ctrl, "Completed Dual Graph -- Nvtxs: %d, Nedges: %d \n", - elmdist[npes], GlobalSESum(&ctrl, nedges)); - } - - MPI_Barrier(ctrl.comm); - stoptimer(Mesh2DualTmr); - - - /***********************/ - /* Partition the graph */ - /***********************/ - starttimer(ParMETISTmr); - - ParMETIS_V3_PartKway(elmdist, xadj, adjncy, elmwgt, NULL, wgtflag, numflag, ncon, - nparts, tpwgts, ubvec, options, edgecut, part, &(ctrl.comm)); - - MPI_Barrier(ctrl.comm); - stoptimer(ParMETISTmr); - stoptimer(TotalTmr); - - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimer(&ctrl, Mesh2DualTmr, " Mesh2Dual")); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimer(&ctrl, ParMETISTmr, " ParMETIS")); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimer(&ctrl, TotalTmr, " Total")); - - GKfree((void **)&xadj, (void **)&adjncy, LTERM); - - FreeCtrl(&ctrl); - - return; -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/move.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/move.c deleted file mode 100644 index 06a8e5c..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/move.c +++ /dev/null @@ -1,338 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * mmove.c - * - * This file contains functions that move the graph given a partition - * - * Started 11/22/96 - * George - * - * $Id: move.c,v 1.3 2003/07/31 16:23:30 karypis Exp $ - * - */ - -#include <parmetislib.h> - -/************************************************************************* -* This function moves the graph, and returns a new graph. -* This routine can be called with or without performing refinement. -* In the latter case it allocates and computes lpwgts itself. -**************************************************************************/ -GraphType *Moc_MoveGraph(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int h, i, ii, j, jj, nvtxs, ncon, nparts; - idxtype *xadj, *vwgt, *adjncy, *adjwgt, *mvtxdist; - idxtype *where, *newlabel, *lpwgts, *gpwgts; - idxtype *sgraph, *rgraph; - KeyValueType *sinfo, *rinfo; - GraphType *mgraph; - - nparts = ctrl->nparts; - ASSERT(ctrl, nparts == ctrl->npes); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - vwgt = graph->vwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - - mvtxdist = idxmalloc(nparts+1, "MoveGraph: mvtxdist"); - - /* Let's do a prefix scan to determine the labeling of the nodes given */ - lpwgts = wspace->pv1; - gpwgts = wspace->pv2; - sinfo = wspace->pepairs1; - rinfo = wspace->pepairs2; - for (i=0; i<nparts; i++) - sinfo[i].key = sinfo[i].val = 0; - - for (i=0; i<nvtxs; i++) { - sinfo[where[i]].key++; - sinfo[where[i]].val += xadj[i+1]-xadj[i]; - } - for (i=0; i<nparts; i++) - lpwgts[i] = sinfo[i].key; - - MPI_Scan((void *)lpwgts, (void *)gpwgts, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - MPI_Allreduce((void *)lpwgts, (void *)mvtxdist, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - - MAKECSR(i, nparts, mvtxdist); - - /* gpwgts[i] will store the label of the first vertex for each domain in each processor */ - for (i=0; i<nparts; i++) - /* We were interested in an exclusive Scan */ - gpwgts[i] = mvtxdist[i] + gpwgts[i] - lpwgts[i]; - - newlabel = idxmalloc(nvtxs+graph->nrecv, "MoveGraph: newlabel"); - - for (i=0; i<nvtxs; i++) - newlabel[i] = gpwgts[where[i]]++; - - /* OK, now send the newlabel info to processors storing adjacent interface nodes */ - CommInterfaceData(ctrl, graph, newlabel, wspace->indices, newlabel+nvtxs); - - /* Now lets tell everybody what and from where he will get it. Assume nparts == npes */ - MPI_Alltoall((void *)sinfo, 2, IDX_DATATYPE, (void *)rinfo, 2, IDX_DATATYPE, ctrl->comm); - - /* Use lpwgts and gpwgts as pointers to where data will be received and send */ - lpwgts[0] = 0; /* Send part */ - gpwgts[0] = 0; /* Received part */ - for (i=0; i<nparts; i++) { - lpwgts[i+1] = lpwgts[i] + (1+ncon)*sinfo[i].key + 2*sinfo[i].val; - gpwgts[i+1] = gpwgts[i] + (1+ncon)*rinfo[i].key + 2*rinfo[i].val; - } - - - if (lpwgts[nparts]+gpwgts[nparts] > wspace->maxcore) { - /* Adjust core memory, incase the graph was originally very memory unbalanced */ - free(wspace->core); - wspace->maxcore = lpwgts[nparts]+4*gpwgts[nparts]; /* In spirit of the 8*nedges */ - wspace->core = idxmalloc(wspace->maxcore, "Moc_MoveGraph: wspace->core"); - } - - sgraph = wspace->core; - rgraph = wspace->core + lpwgts[nparts]; - - /* Issue the receives first */ - for (i=0; i<nparts; i++) { - if (rinfo[i].key > 0) - MPI_Irecv((void *)(rgraph+gpwgts[i]), gpwgts[i+1]-gpwgts[i], IDX_DATATYPE, i, 1, ctrl->comm, ctrl->rreq+i); - else - ASSERT(ctrl, gpwgts[i+1]-gpwgts[i] == 0); - } - - /* Assemble the graph to be sent and send it */ - for (i=0; i<nvtxs; i++) { - ii = lpwgts[where[i]]; - sgraph[ii++] = xadj[i+1]-xadj[i]; - for (h=0; h<ncon; h++) - sgraph[ii++] = vwgt[i*ncon+h]; - for (j=xadj[i]; j<xadj[i+1]; j++) { - sgraph[ii++] = newlabel[adjncy[j]]; - sgraph[ii++] = adjwgt[j]; - } - lpwgts[where[i]] = ii; - } - - for (i=nparts; i>0; i--) - lpwgts[i] = lpwgts[i-1]; - lpwgts[0] = 0; - - for (i=0; i<nparts; i++) { - if (sinfo[i].key > 0) - MPI_Isend((void *)(sgraph+lpwgts[i]), lpwgts[i+1]-lpwgts[i], IDX_DATATYPE, i, 1, ctrl->comm, ctrl->sreq+i); - else - ASSERT(ctrl, lpwgts[i+1]-lpwgts[i] == 0); - } - -/* -#ifdef DMALLOC - ASSERT(ctrl, dmalloc_verify(NULL) == DMALLOC_VERIFY_NOERROR); -#endif -*/ - - /* Wait for the send/recv to finish */ - for (i=0; i<nparts; i++) { - if (sinfo[i].key > 0) - MPI_Wait(ctrl->sreq+i, &ctrl->status); - } - for (i=0; i<nparts; i++) { - if (rinfo[i].key > 0) - MPI_Wait(ctrl->rreq+i, &ctrl->status); - } - - /* OK, now go and put the graph into GraphType Format */ - mgraph = CreateGraph(); - mgraph->gnvtxs = graph->gnvtxs; - mgraph->ncon = ncon; - mgraph->level = 0; - mgraph->nvtxs = mgraph->nedges = 0; - for (i=0; i<nparts; i++) { - mgraph->nvtxs += rinfo[i].key; - mgraph->nedges += rinfo[i].val; - } - nvtxs = mgraph->nvtxs; - xadj = mgraph->xadj = idxmalloc(nvtxs+1, "MMG: mgraph->xadj"); - vwgt = mgraph->vwgt = idxmalloc(nvtxs*ncon, "MMG: mgraph->vwgt"); - adjncy = mgraph->adjncy = idxmalloc(mgraph->nedges, "MMG: mgraph->adjncy"); - adjwgt = mgraph->adjwgt = idxmalloc(mgraph->nedges, "MMG: mgraph->adjwgt"); - mgraph->vtxdist = mvtxdist; - - for (jj=ii=i=0; i<nvtxs; i++) { - xadj[i] = rgraph[ii++]; - for (h=0; h<ncon; h++) - vwgt[i*ncon+h] = rgraph[ii++]; - for (j=0; j<xadj[i]; j++) { - adjncy[jj] = rgraph[ii++]; - adjwgt[jj++] = rgraph[ii++]; - } - } - MAKECSR(i, nvtxs, xadj); - - ASSERTP(ctrl, jj == mgraph->nedges, (ctrl, "%d %d\n", jj, mgraph->nedges)); - ASSERTP(ctrl, ii == gpwgts[nparts], (ctrl, "%d %d %d %d %d\n", ii, gpwgts[nparts], jj, mgraph->nedges, nvtxs)); - - free(newlabel); - -#ifdef DEBUG - IFSET(ctrl->dbglvl, DBG_INFO, rprintf(ctrl, "Checking moved graph...\n")); - CheckMGraph(ctrl, mgraph); - IFSET(ctrl->dbglvl, DBG_INFO, rprintf(ctrl, "Moved graph is consistent.\n")); -#endif - - return mgraph; -} - - -/************************************************************************* -* This function is used to transfer information from the moved graph -* back to the original graph. The information is transfered from array -* minfo to array info. The routine assumes that graph->where is left intact -* and it is used to get the inverse mapping information. -* The routine assumes that graph->where corresponds to a npes-way partition. -**************************************************************************/ -void ProjectInfoBack(CtrlType *ctrl, GraphType *graph, idxtype *info, idxtype *minfo, - WorkSpaceType *wspace) -{ - int i, nvtxs, nparts; - idxtype *where, *auxinfo, *sinfo, *rinfo; - - nparts = ctrl->npes; - - nvtxs = graph->nvtxs; - where = graph->where; - - sinfo = wspace->pv1; - rinfo = wspace->pv2; - - /* Find out in rinfo how many entries are received per partition */ - idxset(nparts, 0, rinfo); - for (i=0; i<nvtxs; i++) - rinfo[where[i]]++; - - /* The rinfo are transposed and become the sinfo for the back-projection */ - MPI_Alltoall((void *)rinfo, 1, IDX_DATATYPE, (void *)sinfo, 1, IDX_DATATYPE, ctrl->comm); - - MAKECSR(i, nparts, sinfo); - MAKECSR(i, nparts, rinfo); - - /* allocate memory for auxinfo */ - auxinfo = idxmalloc(rinfo[nparts], "ProjectInfoBack: auxinfo"); - - /*----------------------------------------------------------------- - * Now, go and send back the minfo - -----------------------------------------------------------------*/ - for (i=0; i<nparts; i++) { - if (rinfo[i+1]-rinfo[i] > 0) - MPI_Irecv((void *)(auxinfo+rinfo[i]), rinfo[i+1]-rinfo[i], IDX_DATATYPE, i, 1, ctrl->comm, ctrl->rreq+i); - } - - for (i=0; i<nparts; i++) { - if (sinfo[i+1]-sinfo[i] > 0) - MPI_Isend((void *)(minfo+sinfo[i]), sinfo[i+1]-sinfo[i], IDX_DATATYPE, i, 1, ctrl->comm, ctrl->sreq+i); - } - - /* Wait for the send/recv to finish */ - for (i=0; i<nparts; i++) { - if (rinfo[i+1]-rinfo[i] > 0) - MPI_Wait(ctrl->rreq+i, &ctrl->status); - } - for (i=0; i<nparts; i++) { - if (sinfo[i+1]-sinfo[i] > 0) - MPI_Wait(ctrl->sreq+i, &ctrl->status); - } - - /* Scatter the info received in auxinfo back to info. */ - for (i=0; i<nvtxs; i++) - info[i] = auxinfo[rinfo[where[i]]++]; - - free(auxinfo); -} - - - -/************************************************************************* -* This function is used to convert a partition vector to a permutation -* vector. -**************************************************************************/ -void FindVtxPerm(CtrlType *ctrl, GraphType *graph, idxtype *perm, WorkSpaceType *wspace) -{ - int i, nvtxs, nparts; - idxtype *xadj, *adjncy, *adjwgt, *mvtxdist; - idxtype *where, *lpwgts, *gpwgts; - - nparts = ctrl->nparts; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - - mvtxdist = idxmalloc(nparts+1, "MoveGraph: mvtxdist"); - - /* Let's do a prefix scan to determine the labeling of the nodes given */ - lpwgts = wspace->pv1; - gpwgts = wspace->pv2; - - /* Here we care about the count and not total weight (diff since graph may be weighted */ - idxset(nparts, 0, lpwgts); - for (i=0; i<nvtxs; i++) - lpwgts[where[i]]++; - - MPI_Scan((void *)lpwgts, (void *)gpwgts, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - MPI_Allreduce((void *)lpwgts, (void *)mvtxdist, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - - MAKECSR(i, nparts, mvtxdist); - - for (i=0; i<nparts; i++) - gpwgts[i] = mvtxdist[i] + gpwgts[i] - lpwgts[i]; /* We were interested in an exclusive Scan */ - - for (i=0; i<nvtxs; i++) - perm[i] = gpwgts[where[i]]++; - - free(mvtxdist); - -} - - - - -/************************************************************************* -* This function quickly performs a check on the consistency of moved graph. -**************************************************************************/ -void CheckMGraph(CtrlType *ctrl, GraphType *graph) -{ - int i, j, jj, k, nvtxs, firstvtx, lastvtx; - idxtype *xadj, *adjncy, *vtxdist; - - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - vtxdist = graph->vtxdist; - - firstvtx = vtxdist[ctrl->mype]; - lastvtx = vtxdist[ctrl->mype+1]; - - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - ASSERT(ctrl, firstvtx+i != adjncy[j]); - if (adjncy[j] >= firstvtx && adjncy[j] < lastvtx) { - k = adjncy[j]-firstvtx; - for (jj=xadj[k]; jj<xadj[k+1]; jj++) { - if (adjncy[jj] == firstvtx+i) - break; - } - if (jj == xadj[k+1]) - myprintf(ctrl, "(%d %d) but not (%d %d)\n", firstvtx+i, k, k, firstvtx+i); - } - } - } -} - - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/msetup.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/msetup.c deleted file mode 100644 index decfc65..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/msetup.c +++ /dev/null @@ -1,95 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * msetup.c - * - * This file contain various routines for setting up a mesh - * - * Started 10/19/96 - * George - * - * $Id: msetup.c,v 1.3 2003/07/31 06:14:01 karypis Exp $ - * - */ - -#include <parmetis.h> - - - -/************************************************************************* -* This function setsup the CtrlType structure -**************************************************************************/ -MeshType *SetUpMesh(int *etype, int *ncon, idxtype *elmdist, idxtype *elements, - idxtype *elmwgt, int *wgtflag, MPI_Comm *comm) -{ - MeshType *mesh; - int i, npes, mype; - int esizes[5] = {-1, 3, 4, 8, 4}; - int maxnode, gmaxnode, minnode, gminnode; - - MPI_Comm_size(*comm, &npes); - MPI_Comm_rank(*comm, &mype); - - mesh = CreateMesh(); - mesh->elmdist = elmdist; - mesh->gnelms = elmdist[npes]; - mesh->nelms = elmdist[mype+1]-elmdist[mype]; - mesh->elements = elements; - mesh->elmwgt = elmwgt; - mesh->etype = *etype; - mesh->ncon = *ncon; - mesh->esize = esizes[*etype]; - - if (((*wgtflag)&1) == 0) { - mesh->elmwgt = idxsmalloc(mesh->nelms*mesh->ncon, 1, "SetUpMesh: elmwgt"); - } - - minnode = elements[idxamin(mesh->nelms*mesh->esize, elements)]; - MPI_Allreduce((void *)&minnode, (void *)&gminnode, 1, MPI_INT, MPI_MIN, *comm); - for (i=0; i<mesh->nelms*mesh->esize; i++) - elements[i] -= gminnode; - mesh->gminnode = gminnode; - - maxnode = elements[idxamax(mesh->nelms*mesh->esize, elements)]; - MPI_Allreduce((void *)&maxnode, (void *)&gmaxnode, 1, MPI_INT, MPI_MAX, *comm); - mesh->gnns = gmaxnode+1; - - return mesh; -} - -/************************************************************************* -* This function creates a MeshType data structure and initializes -* the various fields -**************************************************************************/ -MeshType *CreateMesh(void) -{ - MeshType *mesh; - - mesh = (MeshType *)GKmalloc(sizeof(MeshType), "CreateMesh: mesh"); - - InitMesh(mesh); - - return mesh; -} - -/************************************************************************* -* This function initializes the various fields of a MeshType. -**************************************************************************/ -void InitMesh(MeshType *mesh) -{ - - mesh->etype = -1; - mesh->gnelms = -1; - mesh->gnns = -1; - mesh->nelms = -1; - mesh->nns = -1; - mesh->ncon = -1; - mesh->esize = -1; - mesh->gminnode = 0; - mesh->elmdist = NULL; - mesh->elements = NULL; - mesh->elmwgt = NULL; - - return; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/node_refine.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/node_refine.c deleted file mode 100644 index 3f57aa7..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/node_refine.c +++ /dev/null @@ -1,383 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * node_refine.c - * - * This file contains code that performs the k-way refinement - * - * Started 3/1/96 - * George - * - * $Id: node_refine.c,v 1.2 2003/07/21 17:18:50 karypis Exp $ - */ - -#include <parmetislib.h> - -#define PackWeightWhereInfo(a, b) (((a)<<10) + (b)) -#define SelectWhere(a) ((a)%1024) -#define SelectWeight(a) (((a)>>10)) - - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void ComputeNodePartitionParams(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, j, nparts, nvtxs, nsep, firstvtx, lastvtx; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist, *vwgt, *lpwgts, *gpwgts, *sepind; - idxtype *where, *swhere, *rwhere; - NRInfoType *rinfo, *myrinfo; - int me, other, otherwgt; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->KWayInitTmr)); - - nvtxs = graph->nvtxs; - nparts = ctrl->nparts; - - vtxdist = graph->vtxdist; - xadj = graph->xadj; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - vwgt = graph->vwgt; - - where = graph->where; - rinfo = graph->nrinfo = (NRInfoType *)GKmalloc(sizeof(NRInfoType)*nvtxs, "ComputeNodePartitionParams: rinfo"); - lpwgts = graph->lpwgts = idxsmalloc(2*nparts, 0, "ComputePartitionParams: lpwgts"); - gpwgts = graph->gpwgts = idxmalloc(2*nparts, "ComputePartitionParams: gpwgts"); - sepind = graph->sepind = idxmalloc(nvtxs, "ComputePartitionParams: sepind"); - - firstvtx = vtxdist[ctrl->mype]; - lastvtx = vtxdist[ctrl->mype+1]; - - /*------------------------------------------------------------ - / Send/Receive the where information of interface vertices. - / Also use this to also encode the vwgt information of this - / vertex. This is a hack, but it should work for now! - /------------------------------------------------------------*/ - swhere = wspace->indices; - rwhere = where + nvtxs; - - for (i=0; i<nvtxs; i++) { - ASSERTP(ctrl, where[i] >= 0 && where[i] < 2*nparts, (ctrl, "%d\n", where[i]) ); - where[i] = PackWeightWhereInfo(vwgt[i], where[i]); - } - - CommInterfaceData(ctrl, graph, where, swhere, rwhere); - - /*------------------------------------------------------------ - / Compute now the degrees - /------------------------------------------------------------*/ - for (nsep=i=0; i<nvtxs; i++) { - me = SelectWhere(where[i]); - ASSERT(ctrl, me >= 0 && me < 2*nparts); - lpwgts[me] += vwgt[i]; - - if (me >= nparts) { /* If it is a separator vertex */ - sepind[nsep++] = i; - lpwgts[2*nparts-1] += vwgt[i]; - - myrinfo = rinfo+i; - myrinfo->edegrees[0] = myrinfo->edegrees[1] = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = SelectWhere(where[ladjncy[j]]); - otherwgt = SelectWeight(where[ladjncy[j]]); - if (me != other) - myrinfo->edegrees[other%2] += otherwgt; - } - } - } - graph->nsep = nsep; - - /* Finally, sum-up the partition weights */ - MPI_Allreduce((void *)lpwgts, (void *)gpwgts, 2*nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - graph->mincut = gpwgts[2*nparts-1]; - -#ifdef XX - /* Print Weight information */ - if (ctrl->mype == 0) { - for (i=0; i<nparts; i+=2) - printf("[%5d %5d %5d] ", gpwgts[i], gpwgts[i+1], gpwgts[nparts+i]); - printf("\n"); - } -#endif - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->KWayInitTmr)); -} - - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void KWayNodeRefine(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace, int npasses, float ubfraction) -{ - int i, ii, j, k, pass, nvtxs, firstvtx, lastvtx, otherlastvtx, c, nmoves, - nlupd, nsupd, nnbrs, nchanged, nsep; - int npes = ctrl->npes, mype = ctrl->mype, nparts = ctrl->nparts; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist, *vwgt; - idxtype *where, *lpwgts, *gpwgts, *sepind; - idxtype *peind, *recvptr, *sendptr; - idxtype *update, *supdate, *rupdate, *pe_updates, *htable, *changed; - idxtype *badminpwgt, *badmaxpwgt; - KeyValueType *swchanges, *rwchanges; - int *nupds_pe; - NRInfoType *rinfo, *myrinfo; - int from, me, other, otherwgt, oldcut; - - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->KWayTmr)); - - nvtxs = graph->nvtxs; - - vtxdist = graph->vtxdist; - xadj = graph->xadj; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - vwgt = graph->vwgt; - - firstvtx = vtxdist[mype]; - lastvtx = vtxdist[mype+1]; - - where = graph->where; - rinfo = graph->nrinfo; - lpwgts = graph->lpwgts; - gpwgts = graph->gpwgts; - - nsep = graph->nsep; - sepind = graph->sepind; - - nnbrs = graph->nnbrs; - peind = graph->peind; - recvptr = graph->recvptr; - sendptr = graph->sendptr; - - changed = idxmalloc(nvtxs, "KWayRefine: changed"); - rwchanges = wspace->pairs; - swchanges = rwchanges + recvptr[nnbrs]; - - update = idxmalloc(nvtxs, "KWayRefine: update"); - supdate = wspace->indices; - rupdate = supdate + recvptr[nnbrs]; - nupds_pe = imalloc(npes, "KWayRefine: nupds_pe"); - - htable = idxsmalloc(nvtxs+graph->nrecv, 0, "KWayRefine: lhtable"); - - badminpwgt = wspace->pv1; - badmaxpwgt = wspace->pv2; - - for (i=0; i<nparts; i+=2) { - badminpwgt[i] = badminpwgt[i+1] = (1.0/ubfraction)*(gpwgts[i]+gpwgts[i+1])/2; - badmaxpwgt[i] = badmaxpwgt[i+1] = ubfraction*(gpwgts[i]+gpwgts[i+1])/2; - } - - IFSET(ctrl->dbglvl, DBG_REFINEINFO, PrintNodeBalanceInfo(ctrl, nparts, gpwgts, badminpwgt, badmaxpwgt, 1)); - - for (pass=0; pass<npasses; pass++) { - oldcut = graph->mincut; - - for (c=0; c<2; c++) { - for (i=0; i<nparts; i+=2) { - badminpwgt[i] = badminpwgt[i+1] = (1.0/ubfraction)*(gpwgts[i]+gpwgts[i+1])/2; - badmaxpwgt[i] = badmaxpwgt[i+1] = ubfraction*(gpwgts[i]+gpwgts[i+1])/2; - } - - nlupd = nsupd = nmoves = nchanged = 0; - for (ii=0; ii<nsep; ii++) { - i = sepind[ii]; - from = SelectWhere(where[i]); - - ASSERT(ctrl, from >= nparts); - - /* Go through the loop if gain is possible for the separator vertex */ - if (rinfo[i].edegrees[(c+1)%2] <= vwgt[i]) { - other = from%nparts+c; /* It is one-sided move so we know where it goes */ - - if (gpwgts[other]+vwgt[i] > badmaxpwgt[other]) { - /* printf("Skip because of weight! %d\n", vwgt[i]-rinfo[i].edegrees[(c+1)%2]); */ - continue; /* We cannot move it there because it gets too heavy */ - } - - /* Update where, weight, and ID/ED information of the vertex you moved */ - where[i] = PackWeightWhereInfo(vwgt[i], other); - - /* Remove this vertex from the sepind. Note the trick for looking at the sepind[ii] again */ - sepind[ii--] = sepind[--nsep]; - - /* myprintf(ctrl, "Vertex %d [%d %d] is moving to %d from %d [%d]\n", i+firstvtx, vwgt[i], rinfo[i].edegrees[(c+1)%2], other, from, SelectWhere(where[i])); */ - - lpwgts[from] -= vwgt[i]; - lpwgts[2*nparts-1] -= vwgt[i]; - lpwgts[other] += vwgt[i]; - gpwgts[other] += vwgt[i]; - - /* - * Put the vertices adjacent to i that belong to either the separator or - * the (c+1)%2 partition into the update array - */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = ladjncy[j]; - if (htable[k] == 0 && SelectWhere(where[k]) != other) { - htable[k] = 1; - if (k<nvtxs) - update[nlupd++] = k; - else - supdate[nsupd++] = k; - } - } - nmoves++; - if (graph->pexadj[i+1]-graph->pexadj[i] > 0) - changed[nchanged++] = i; - } - } - - /* myprintf(ctrl, "nmoves: %d, nlupd: %d, nsupd: %d\n", nmoves, nlupd, nsupd); */ - - /* Tell everybody interested what the new where[] info is for the interface vertices */ - CommChangedInterfaceData(ctrl, graph, nchanged, changed, where, swchanges, rwchanges, wspace->pv4); - - - IFSET(ctrl->dbglvl, DBG_RMOVEINFO, rprintf(ctrl, "\t[%d %d], [%d %d %d]\n", - pass, c, GlobalSESum(ctrl, nmoves), GlobalSESum(ctrl, nsupd), GlobalSESum(ctrl, nlupd))); - - - /*------------------------------------------------------------- - / Time to communicate with processors to send the vertices - / whose degrees need to be update. - /-------------------------------------------------------------*/ - /* Issue the receives first */ - for (i=0; i<nnbrs; i++) { - MPI_Irecv((void *)(rupdate+sendptr[i]), sendptr[i+1]-sendptr[i], IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - /* Issue the sends next. This needs some preporcessing */ - for (i=0; i<nsupd; i++) { - htable[supdate[i]] = 0; - supdate[i] = graph->imap[supdate[i]]; - } - iidxsort(nsupd, supdate); - - for (j=i=0; i<nnbrs; i++) { - otherlastvtx = vtxdist[peind[i]+1]; - for (k=j; k<nsupd && supdate[k] < otherlastvtx; k++); - MPI_Isend((void *)(supdate+j), k-j, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); - j = k; - } - - /* OK, now get into the loop waiting for the send/recv operations to finish */ - MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); - for (i=0; i<nnbrs; i++) - MPI_Get_count(ctrl->statuses+i, IDX_DATATYPE, nupds_pe+i); - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); - - - /*------------------------------------------------------------- - / Place the received to-be updated vertices into update[] - /-------------------------------------------------------------*/ - for (i=0; i<nnbrs; i++) { - pe_updates = rupdate+sendptr[i]; - for (j=0; j<nupds_pe[i]; j++) { - k = pe_updates[j]; - if (htable[k-firstvtx] == 0) { - htable[k-firstvtx] = 1; - update[nlupd++] = k-firstvtx; - } - } - } - - - /*------------------------------------------------------------- - / Update the where information of the vertices that are pulled - / into the separator. - /-------------------------------------------------------------*/ - nchanged = 0; - for (ii=0; ii<nlupd; ii++) { - i = update[ii]; - me = SelectWhere(where[i]); - if (me < nparts && me%2 == (c+1)%2) { /* This vertex is pulled into the separator */ - lpwgts[me] -= vwgt[i]; - where[i] = PackWeightWhereInfo(vwgt[i], nparts+me-(me%2)); - sepind[nsep++] = i; /* Put the vertex into the sepind array */ - if (graph->pexadj[i+1]-graph->pexadj[i] > 0) - changed[nchanged++] = i; - - lpwgts[SelectWhere(where[i])] += vwgt[i]; - lpwgts[2*nparts-1] += vwgt[i]; - /* myprintf(ctrl, "Vertex %d moves into the separator from %d to %d\n", i+firstvtx, me, SelectWhere(where[i])); */ - } - } - - /* Tell everybody interested what the new where[] info is for the interface vertices */ - CommChangedInterfaceData(ctrl, graph, nchanged, changed, where, swchanges, rwchanges, wspace->pv4); - - - /*------------------------------------------------------------- - / Update the rinfo of the vertices in the update[] array - /-------------------------------------------------------------*/ - for (ii=0; ii<nlupd; ii++) { - i = update[ii]; - ASSERT(ctrl, htable[i] == 1); - - htable[i] = 0; - - me = SelectWhere(where[i]); - if (me >= nparts) { /* If it is a separator vertex */ - /* myprintf(ctrl, "Updating %d %d\n", i+firstvtx, me); */ - - myrinfo = rinfo+i; - myrinfo->edegrees[0] = myrinfo->edegrees[1] = 0; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = SelectWhere(where[ladjncy[j]]); - otherwgt = SelectWeight(where[ladjncy[j]]); - if (me != other) - myrinfo->edegrees[other%2] += otherwgt; - } - } - } - - /* Finally, sum-up the partition weights */ - MPI_Allreduce((void *)lpwgts, (void *)gpwgts, 2*nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - graph->mincut = gpwgts[2*nparts-1]; - - IFSET(ctrl->dbglvl, DBG_REFINEINFO, PrintNodeBalanceInfo(ctrl, nparts, gpwgts, badminpwgt, badmaxpwgt, 0)); - } - - if (graph->mincut == oldcut) - break; - } - - /* Go and clear-up the where array */ - for (i=0; i<nvtxs+graph->nrecv; i++) - where[i] = SelectWhere(where[i]); - - GKfree((void **)&update, (void **)&nupds_pe, (void **)&htable, (void **)&changed, LTERM); - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->KWayTmr)); -} - - - - -/************************************************************************* -* This function prints balance information for the parallel k-section -* refinement algorithm -**************************************************************************/ -void PrintNodeBalanceInfo(CtrlType *ctrl, int nparts, idxtype *gpwgts, idxtype *badminpwgt, idxtype *badmaxpwgt, int title) -{ - int i; - - if (ctrl->mype == 0) { - if (title) - printf("K-way sep-refinement: TotalSep: %d, ", gpwgts[2*nparts-1]); - else - printf("\tTotalSep: %d, ", gpwgts[2*nparts-1]); - - for (i=0; i<nparts; i+=2) - printf(" [%5d %5d %5d %5d %5d]", gpwgts[i], gpwgts[i+1], gpwgts[nparts+i], badminpwgt[i], badmaxpwgt[i]); - printf("\n"); - } - MPI_Barrier(ctrl->comm); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ometis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ometis.c deleted file mode 100644 index 1a461f1..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/ometis.c +++ /dev/null @@ -1,188 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * ometis.c - * - * This is the entry point of parallel ordering - * - * Started 10/19/96 - * George - * - * $Id: ometis.c,v 1.4 2003/07/25 04:01:04 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - - -/*********************************************************************************** -* This function is the entry point of the parallel ordering algorithm. -* This function assumes that the graph is already nice partitioned among the -* processors and then proceeds to perform recursive bisection. -************************************************************************************/ -void ParMETIS_V3_NodeND(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, - int *options, idxtype *order, idxtype *sizes, MPI_Comm *comm) -{ - int i, j; - int ltvwgts[MAXNCON]; - int nparts, npes, mype, wgtflag = 0, seed = GLOBAL_SEED; - CtrlType ctrl; - WorkSpaceType wspace; - GraphType *graph, *mgraph; - idxtype *morder; - int minnvtxs; - - MPI_Comm_size(*comm, &npes); - MPI_Comm_rank(*comm, &mype); - nparts = npes; - - if (!ispow2(npes)) { - if (mype == 0) - printf("Error: The number of processors must be a power of 2!\n"); - return; - } - - if (vtxdist[npes] < (int)((float)(npes*npes)*1.2)) { - if (mype == 0) - printf("Error: Too many processors for this many vertices.\n"); - return; - } - - minnvtxs = vtxdist[1]-vtxdist[0]; - for (i=0; i<npes; i++) - minnvtxs = (minnvtxs < vtxdist[i+1]-vtxdist[i]) ? minnvtxs : vtxdist[i+1]-vtxdist[i]; - - if (minnvtxs < (int)((float)npes*1.1)) { - if (mype == 0) - printf("Error: vertices are not distributed equally.\n"); - return; - } - - - if (*numflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, order, npes, mype, 1); - - SetUpCtrl(&ctrl, nparts, options[PMV3_OPTION_DBGLVL], *comm); - ctrl.CoarsenTo = amin(vtxdist[npes]+1, 25*npes); - - ctrl.CoarsenTo = amin(vtxdist[npes]+1, 25*amax(npes, nparts)); - ctrl.seed = mype; - ctrl.sync = seed; - ctrl.partType = STATIC_PARTITION; - ctrl.ps_relation = -1; - ctrl.tpwgts = fsmalloc(nparts, 1.0/(float)(nparts), "tpwgts"); - ctrl.ubvec[0] = 1.03; - - graph = Moc_SetUpGraph(&ctrl, 1, vtxdist, xadj, NULL, adjncy, NULL, &wgtflag); - - PreAllocateMemory(&ctrl, graph, &wspace); - - /*======================================================= - * Compute the initial k-way partitioning - =======================================================*/ - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - Moc_Global_Partition(&ctrl, graph, &wspace); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - - /*======================================================= - * Move the graph according to the partitioning - =======================================================*/ - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.MoveTmr)); - - MALLOC_CHECK(NULL); - graph->ncon = 1; - mgraph = Moc_MoveGraph(&ctrl, graph, &wspace); - MALLOC_CHECK(NULL); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.MoveTmr)); - - /*======================================================= - * Now compute an ordering of the moved graph - =======================================================*/ - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - FreeWSpace(&wspace); - PreAllocateMemory(&ctrl, mgraph, &wspace); - - ctrl.ipart = ISEP_NODE; - ctrl.CoarsenTo = amin(vtxdist[npes]+1, amax(20*npes, 1000)); - - /* compute tvwgts */ - for (j=0; j<mgraph->ncon; j++) - ltvwgts[j] = 0; - - for (i=0; i<mgraph->nvtxs; i++) - for (j=0; j<mgraph->ncon; j++) - ltvwgts[j] += mgraph->vwgt[i*mgraph->ncon+j]; - - for (j=0; j<mgraph->ncon; j++) - ctrl.tvwgts[j] = GlobalSESum(&ctrl, ltvwgts[j]); - - mgraph->nvwgt = fmalloc(mgraph->nvtxs*mgraph->ncon, "mgraph->nvwgt"); - for (i=0; i<mgraph->nvtxs; i++) - for (j=0; j<mgraph->ncon; j++) - mgraph->nvwgt[i*mgraph->ncon+j] = (float)(mgraph->vwgt[i*mgraph->ncon+j]) / (float)(ctrl.tvwgts[j]); - - - morder = idxmalloc(mgraph->nvtxs, "PAROMETIS: morder"); - MultilevelOrder(&ctrl, mgraph, morder, sizes, &wspace); - - MALLOC_CHECK(NULL); - - /* Invert the ordering back to the original graph */ - ProjectInfoBack(&ctrl, graph, order, morder, &wspace); - - MALLOC_CHECK(NULL); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - - free(ctrl.tpwgts); - free(morder); - FreeGraph(mgraph); - FreeInitialGraphAndRemap(graph, 0); - FreeWSpace(&wspace); - FreeCtrl(&ctrl); - - if (*numflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, order, npes, mype, 0); - - MALLOC_CHECK(NULL); -} - - -/*********************************************************************************** -* This function is the entry point of the parallel ordering algorithm. -* This function assumes that the graph is already nice partitioned among the -* processors and then proceeds to perform recursive bisection. -************************************************************************************/ -void PAROMETIS(idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *order, idxtype *sizes, int *options, MPI_Comm comm) -{ - int numflag, newoptions[5]; - - newoptions[0] = 1; - newoptions[PMV3_OPTION_DBGLVL] = options[4]; - newoptions[PMV3_OPTION_SEED] = GLOBAL_SEED; - - numflag = options[3]; - - ParMETIS_V3_NodeND(vtxdist, xadj, adjncy, &numflag, newoptions, order, sizes, &comm); - - options[0] = -1; - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/order.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/order.c deleted file mode 100644 index a73c87b..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/order.c +++ /dev/null @@ -1,348 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * order.c - * - * This file contains the driving routines for the multilevel ordering algorithm - * - * Started 5/3/97 - * George - * - * $Id: order.c,v 1.2 2003/07/21 17:18:50 karypis Exp $ - * - */ - -#define DEBUG_ORDER_ - -#include <parmetislib.h> - -/************************************************************************* -* This is the top level ordering routine -**************************************************************************/ -void MultilevelOrder(CtrlType *ctrl, GraphType *graph, idxtype *order, idxtype *sizes, WorkSpaceType *wspace) -{ - int i, nparts, nvtxs, npes; - idxtype *perm, *lastnode, *morder, *porder; - GraphType *mgraph; - - npes = ctrl->npes; - nvtxs = graph->nvtxs; - - perm = idxmalloc(nvtxs, "MultilevelOrder: perm"); - lastnode = idxsmalloc(4*npes, -1, "MultilevelOrder: lastnode"); - - for (i=0; i<nvtxs; i++) - perm[i] = i; - lastnode[2] = graph->gnvtxs; - - idxset(nvtxs, -1, order); - - sizes[0] = 2*npes-1; - - graph->where = idxsmalloc(nvtxs, 0, "MultilevelOrder: graph->where"); - - for (nparts=2; nparts<=ctrl->npes; nparts*=2) { - ctrl->nparts = nparts; - - Order_Partition(ctrl, graph, wspace); - - LabelSeparators(ctrl, graph, lastnode, perm, order, sizes, wspace); - - CompactGraph(ctrl, graph, perm, wspace); - - if (ctrl->CoarsenTo < 100*nparts) { - ctrl->CoarsenTo = 1.5*ctrl->CoarsenTo; - } - ctrl->CoarsenTo = amin(ctrl->CoarsenTo, graph->gnvtxs-1); - } - - - /*----------------------------------------------------------------- - / Move the graph so that each processor gets its partition - -----------------------------------------------------------------*/ - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MoveTmr)); - - SetUp(ctrl, graph, wspace); - graph->ncon = 1; /*needed for Moc_MoveGraph */ - mgraph = Moc_MoveGraph(ctrl, graph, wspace); - - /* Fill in the sizes[] array for the local part. Just the vtxdist of the mgraph */ - for (i=0; i<npes; i++) - sizes[i] = mgraph->vtxdist[i+1]-mgraph->vtxdist[i]; - - porder = idxmalloc(graph->nvtxs, "MultilevelOrder: porder"); - morder = idxmalloc(mgraph->nvtxs, "MultilevelOrder: morder"); - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MoveTmr)); - - /* Find the local ordering */ - LocalNDOrder(ctrl, mgraph, morder, lastnode[2*(ctrl->npes+ctrl->mype)]-mgraph->nvtxs, wspace); - - /* Project the ordering back to the before-move graph */ - ProjectInfoBack(ctrl, graph, porder, morder, wspace); - - /* Copy the ordering from porder to order using perm */ - for (i=0; i<graph->nvtxs; i++) { - ASSERT(ctrl, order[perm[i]] == -1); - order[perm[i]] = porder[i]; - } - - FreeGraph(mgraph); - GKfree((void **)&perm, (void **)&lastnode, (void **)&porder, (void **)&morder, LTERM); - - /* PrintVector(ctrl, 2*npes-1, 0, sizes, "SIZES"); */ -} - - -/************************************************************************* -* This function is used to assign labels to the nodes in the separators -* It uses the appropriate entry in the lastnode array to select label -* boundaries and adjusts it for the next level -**************************************************************************/ -void LabelSeparators(CtrlType *ctrl, GraphType *graph, idxtype *lastnode, idxtype *perm, idxtype *order, idxtype *sizes, WorkSpaceType *wspace) -{ - int i, nvtxs, nparts, sid; - idxtype *where, *lpwgts, *gpwgts, *sizescan; - - nparts = ctrl->nparts; - - nvtxs = graph->nvtxs; - where = graph->where; - lpwgts = graph->lpwgts; - gpwgts = graph->gpwgts; - - /* Compute the local size of the separator. This is required in case the - * graph has vertex weights */ - idxset(2*nparts, 0, lpwgts); - for (i=0; i<nvtxs; i++) - lpwgts[where[i]]++; - - sizescan = idxmalloc(2*nparts, "LabelSeparators: sizescan"); - - /* Perform a Prefix scan of the separator sizes to determine the boundaries */ - MPI_Scan((void *)lpwgts, (void *)sizescan, 2*nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - MPI_Allreduce((void *)lpwgts, (void *)gpwgts, 2*nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); - -#ifdef DEBUG_ORDER - PrintVector(ctrl, 2*nparts, 0, lpwgts, "Lpwgts"); - PrintVector(ctrl, 2*nparts, 0, sizescan, "SizeScan"); - PrintVector(ctrl, 2*nparts, 0, lastnode, "LastNode"); -#endif - - /* Fillin the sizes[] array */ - for (i=nparts-2; i>=0; i-=2) - sizes[--sizes[0]] = gpwgts[nparts+i]; - - if (ctrl->dbglvl&DBG_INFO) { - if (ctrl->mype == 0) { - printf("SepSizes: "); - for (i=0; i<nparts; i+=2) - printf(" %d [%d %d]", gpwgts[nparts+i], gpwgts[i], gpwgts[i+1]); - printf("\n"); - } - MPI_Barrier(ctrl->comm); - } - - for (i=0; i<2*nparts; i++) - sizescan[i] -= lpwgts[i]; - - for (i=0; i<nvtxs; i++) { - if (where[i] >= nparts) { - sid = where[i]; - sizescan[sid]++; - ASSERT(ctrl, order[perm[i]] == -1); - order[perm[i]] = lastnode[sid] - sizescan[sid]; - /* myprintf(ctrl, "order[%d] = %d, %d\n", perm[i], order[perm[i]], sid); */ - } - } - - /* Update lastnode array */ - idxcopy(2*nparts, lastnode, sizescan); - for (i=0; i<nparts; i+=2) { - lastnode[2*nparts+2*i] = sizescan[nparts+i]-gpwgts[nparts+i]-gpwgts[i+1]; - lastnode[2*nparts+2*(i+1)] = sizescan[nparts+i]-gpwgts[nparts+i]; - } - - free(sizescan); - -} - - - - -/************************************************************************* -* This function compacts a graph by removing the vertex separator -**************************************************************************/ -void CompactGraph(CtrlType *ctrl, GraphType *graph, idxtype *perm, WorkSpaceType *wspace) -{ - int i, j, l, nvtxs, cnvtxs, cfirstvtx, nparts, npes; - idxtype *xadj, *ladjncy, *adjwgt, *vtxdist, *where; - idxtype *cmap, *cvtxdist, *newwhere; - - nparts = ctrl->nparts; - npes = ctrl->npes; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - ladjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - - if (graph->cmap == NULL) - graph->cmap = idxmalloc(nvtxs+graph->nrecv, "CompactGraph: cmap"); - cmap = graph->cmap; - - vtxdist = graph->vtxdist; - - /************************************************************* - * Construct the cvtxdist of the contracted graph. Uses the fact - * that lpwgts stores the local non separator vertices. - **************************************************************/ - cvtxdist = wspace->pv1; - cnvtxs = cvtxdist[npes] = idxsum(nparts, graph->lpwgts); - - MPI_Allgather((void *)(cvtxdist+npes), 1, IDX_DATATYPE, (void *)cvtxdist, 1, IDX_DATATYPE, ctrl->comm); - MAKECSR(i, npes, cvtxdist); - -#ifdef DEBUG_ORDER - PrintVector(ctrl, npes+1, 0, cvtxdist, "cvtxdist"); -#endif - - - /************************************************************* - * Construct the cmap vector - **************************************************************/ - cfirstvtx = cvtxdist[ctrl->mype]; - - /* Create the cmap of what you know so far locally */ - for (cnvtxs=0, i=0; i<nvtxs; i++) { - if (where[i] < nparts) { - perm[cnvtxs] = perm[i]; - cmap[i] = cfirstvtx + cnvtxs++; - } - } - - CommInterfaceData(ctrl, graph, cmap, wspace->indices, cmap+nvtxs); - - - /************************************************************* - * Finally, compact the graph - **************************************************************/ - newwhere = idxmalloc(cnvtxs, "CompactGraph: newwhere"); - cnvtxs = l = 0; - for (i=0; i<nvtxs; i++) { - if (where[i] < nparts) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (where[i] == where[ladjncy[j]]) { - ladjncy[l] = cmap[ladjncy[j]]; - adjwgt[l++] = adjwgt[j]; - } -#ifdef DEBUG_ORDER - else if (where[ladjncy[j]] < nparts) - printf("It seems that the separation has failed: %d %d\n", where[i], where[ladjncy[j]]); -#endif - } - - xadj[cnvtxs] = l; - graph->vwgt[cnvtxs] = graph->vwgt[i]; - newwhere[cnvtxs] = where[i]; - cnvtxs++; - } - } - for (i=cnvtxs; i>0; i--) - xadj[i] = xadj[i-1]; - xadj[0] = 0; - - GKfree((void **)&graph->match, (void **)&graph->cmap, (void **)&graph->lperm, (void **)&graph->where, (void **)&graph->label, (void **)&graph->rinfo, - (void **)&graph->nrinfo, (void **)&graph->lpwgts, (void **)&graph->gpwgts, (void **)&graph->sepind, (void **)&graph->peind, - (void **)&graph->sendptr, (void **)&graph->sendind, (void **)&graph->recvptr, (void **)&graph->recvind, - (void **)&graph->imap, (void **)&graph->rlens, (void **)&graph->slens, (void **)&graph->rcand, (void **)&graph->pexadj, - (void **)&graph->peadjncy, (void **)&graph->peadjloc, LTERM); - - graph->nvtxs = cnvtxs; - graph->nedges = l; - graph->gnvtxs = cvtxdist[npes]; - idxcopy(npes+1, cvtxdist, graph->vtxdist); - graph->where = newwhere; - -} - - -/************************************************************************* -* This function orders the locally stored graph using MMD. -* The vertices will be ordered from firstnode onwards. -**************************************************************************/ -void LocalNDOrder(CtrlType *ctrl, GraphType *graph, idxtype *order, int firstnode, WorkSpaceType *wspace) -{ - int i, j, nvtxs, firstvtx, lastvtx; - idxtype *xadj, *adjncy; - idxtype *perm, *iperm; - int numflag=0, options[10]; - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - - firstvtx = graph->vtxdist[ctrl->mype]; - lastvtx = graph->vtxdist[ctrl->mype+1]; - - /* Relabel the vertices so that they are in local index space */ - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - ASSERT(ctrl, adjncy[j]>=firstvtx && adjncy[j]<lastvtx); - adjncy[j] -= firstvtx; - } - } - - ASSERT(ctrl, 2*(nvtxs+5) < wspace->maxcore); - - perm = wspace->core; - iperm = perm + nvtxs + 5; - - options[0] = 0; - METIS_NodeND(&nvtxs, xadj, adjncy, &numflag, options, perm, iperm); - - for (i=0; i<nvtxs; i++) { - ASSERT(ctrl, iperm[i]>=0 && iperm[i]<nvtxs); - order[i] = firstnode+iperm[i]; - } - -} - -/************************************************************************* -* This function is the driver for the partition refinement mode of ParMETIS -**************************************************************************/ -void Order_Partition(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - - SetUp(ctrl, graph, wspace); - graph->ncon = 1; - - IFSET(ctrl->dbglvl, DBG_PROGRESS, rprintf(ctrl, "[%6d %8d %5d %5d][%d][%d]\n", - graph->gnvtxs, GlobalSESum(ctrl, graph->nedges), GlobalSEMin(ctrl, graph->nvtxs), - GlobalSEMax(ctrl, graph->nvtxs), ctrl->CoarsenTo, - GlobalSEMax(ctrl, graph->vwgt[idxamax(graph->nvtxs, graph->vwgt)]))); - - if (graph->gnvtxs < 1.3*ctrl->CoarsenTo || (graph->finer != NULL && graph->gnvtxs > graph->finer->gnvtxs*COARSEN_FRACTION)) { - /* Compute the initial npart-way multisection */ - InitMultisection(ctrl, graph, wspace); - - if (graph->finer == NULL) { /* Do that only of no-coarsening took place */ - ComputeNodePartitionParams(ctrl, graph, wspace); - KWayNodeRefine(ctrl, graph, wspace, 2*NGR_PASSES, ORDER_UNBALANCE_FRACTION); - } - } - else { /* Coarsen it and the partition it */ - Mc_LocalMatch_HEM(ctrl, graph, wspace); - - Order_Partition(ctrl, graph->coarser, wspace); - - Moc_ProjectPartition(ctrl, graph, wspace); - ComputeNodePartitionParams(ctrl, graph, wspace); - KWayNodeRefine(ctrl, graph, wspace, 2*NGR_PASSES, ORDER_UNBALANCE_FRACTION); - } -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/parmetislib.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/parmetislib.h deleted file mode 100644 index 36c1041..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/parmetislib.h +++ /dev/null @@ -1,31 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * par_metis.h - * - * This file includes all necessary header files - * - * Started 8/27/94 - * George - * - * $Id: parmetislib.h,v 1.2 2003/07/21 17:50:22 karypis Exp $ - */ - -/* -#define DEBUG 1 -#define DMALLOC 1 -*/ - -#include <stdheaders.h> -#include "../parmetis.h" - -#ifdef DMALLOC -#include <dmalloc.h> -#endif - -#include <rename.h> -#include <defs.h> -#include <struct.h> -#include <macros.h> -#include <proto.h> - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/proto.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/proto.h deleted file mode 100644 index bbab2e5..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/proto.h +++ /dev/null @@ -1,352 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * proto.h - * - * This file contains header files - * - * Started 10/19/95 - * George - * - * $Id: proto.h,v 1.11 2003/07/25 13:52:03 karypis Exp $ - * - */ - -/* kmetis.c */ -void Moc_Global_Partition(CtrlType *, GraphType *, WorkSpaceType *); - -/* mmetis.c */ - -/* gkmetis.c */ - -/* match.c */ -void Moc_GlobalMatch_Balance(CtrlType *, GraphType *, WorkSpaceType *); - -/* coarsen.c */ -void Moc_Global_CreateCoarseGraph(CtrlType *, GraphType *, WorkSpaceType *, int); - -/* initpart.c */ -void Moc_InitPartition_RB(CtrlType *, GraphType *, WorkSpaceType *); -void Moc_KeepPart(GraphType *, WorkSpaceType *, idxtype *, int); - -/* kwayrefine.c */ -void Moc_ProjectPartition(CtrlType *, GraphType *, WorkSpaceType *); -void Moc_ComputePartitionParams(CtrlType *, GraphType *, WorkSpaceType *); - -/* kwayfm.c */ -void Moc_KWayFM(CtrlType *, GraphType *, WorkSpaceType *, int); - -/* kwaybalance.c */ -void Moc_KWayBalance(CtrlType *, GraphType *, WorkSpaceType *, int); - -/* remap.c */ -void ParallelReMapGraph(CtrlType *, GraphType *, WorkSpaceType *); -void ParallelTotalVReMap(CtrlType *, idxtype *, idxtype *, WorkSpaceType *, int, int); -int SimilarTpwgts(float *, int, int, int); - -/* move.c */ -GraphType *Moc_MoveGraph(CtrlType *, GraphType *, WorkSpaceType *); -/* move.c */ -void CheckMGraph(CtrlType *, GraphType *); -void ProjectInfoBack(CtrlType *, GraphType *, idxtype *, idxtype *, WorkSpaceType *); -void FindVtxPerm(CtrlType *, GraphType *, idxtype *, WorkSpaceType *); - -/* memory.c */ -void PreAllocateMemory(CtrlType *, GraphType *, WorkSpaceType *); -void FreeWSpace(WorkSpaceType *); -void FreeCtrl(CtrlType *); -GraphType *CreateGraph(void); -void InitGraph(GraphType *); -void FreeGraph(GraphType *); -void FreeInitialGraphAndRemap(GraphType *, int); - - -/* ametis.c */ -void Adaptive_Partition(CtrlType *, GraphType *, WorkSpaceType *); - -/* rmetis.c */ - - -/* lmatch.c */ -void Mc_LocalMatch_HEM(CtrlType *, GraphType *, WorkSpaceType *); -void Mc_Local_CreateCoarseGraph(CtrlType *, GraphType *, WorkSpaceType *, int); - -/* wave.c */ -float WavefrontDiffusion(CtrlType *, GraphType *, idxtype *); - -/* balancemylink.c */ -int BalanceMyLink(CtrlType *, GraphType *, idxtype *, int, int, float *, float, float *, float *, float); - -/* redomylink.c */ -void RedoMyLink(CtrlType *, GraphType *, idxtype *, int, int, float *, float *, float *); - -/* initbalance.c */ -void Balance_Partition(CtrlType *, GraphType *, WorkSpaceType *); -GraphType *Moc_AssembleAdaptiveGraph(CtrlType *, GraphType *, WorkSpaceType *); - -/* mdiffusion.c */ -int Moc_Diffusion(CtrlType *, GraphType *, idxtype *, idxtype *, idxtype *, WorkSpaceType *, int); -GraphType *ExtractGraph(CtrlType *, GraphType *, idxtype *, idxtype *, idxtype *); - -/* diffutil.c */ -void SetUpConnectGraph(GraphType *, MatrixType *, idxtype *); -void Mc_ComputeMoveStatistics(CtrlType *, GraphType *, int *, int *, int *); - int Mc_ComputeSerialTotalV(GraphType *, idxtype *); -void ComputeLoad(GraphType *, int, float *, float *, int); -void ConjGrad2(MatrixType *, float *, float *, float, float *); -void mvMult2(MatrixType *, float *, float *); -void ComputeTransferVector(int, MatrixType *, float *, float *, int); -int ComputeSerialEdgeCut(GraphType *); -int ComputeSerialTotalV(GraphType *, idxtype *); - -/* akwayfm.c */ -void Moc_KWayAdaptiveRefine(CtrlType *, GraphType *, WorkSpaceType *, int); - -/* selectq.c */ -void Moc_DynamicSelectQueue(int, int, int, int, idxtype *, float *, int *, int *, int, float, float); -int Moc_HashVwgts(int, float *); -int Moc_HashVRank(int, int *); - - -/* csrmatch.c */ -void CSR_Match_SHEM(MatrixType *, idxtype *, idxtype *, idxtype *, int); - -/* serial.c */ -void Moc_SerialKWayAdaptRefine(GraphType *, int, idxtype *, float *, int); -void Moc_ComputeSerialPartitionParams(GraphType *, int, EdgeType *); -int AreAllHVwgtsBelow(int, float, float *, float, float *, float *); -void ComputeHKWayLoadImbalance(int, int, float *, float *); -void SerialRemap(GraphType *, int, idxtype *, idxtype *, idxtype *, float *); -int SSMIncKeyCmp(const void *, const void *); -void Moc_Serial_FM_2WayRefine(GraphType *, float *, int); -void Serial_SelectQueue(int, float *, float *, int *, int *, FPQueueType [MAXNCON][2]); -int Serial_BetterBalance(int, float *, float *, float *); -float Serial_Compute2WayHLoadImbalance(int, float *, float *); -void Moc_Serial_Balance2Way(GraphType *, float *, float); -void Moc_Serial_Init2WayBalance(GraphType *, float *); -int Serial_SelectQueueOneWay(int, float *, float *, int, FPQueueType [MAXNCON][2]); -void Moc_Serial_Compute2WayPartitionParams(GraphType *); -int Serial_AreAnyVwgtsBelow(int, float, float *, float, float *, float *); - -/* weird.c */ -void PartitionSmallGraph(CtrlType *, GraphType *, WorkSpaceType *); -void CheckInputs(int partType, int npes, int dbglvl, int *wgtflag, int *iwgtflag, - int *numflag, int *inumflag, int *ncon, int *incon, int *nparts, - int *inparts, float *tpwgts, float **itpwgts, float *ubvec, - float *iubvec, float *ipc2redist, float *iipc2redist, int *options, - int *ioptions, idxtype *part, MPI_Comm *comm); - -/* mesh.c */ - -/* ometis.c */ - -/* pspases.c */ -GraphType *AssembleEntireGraph(CtrlType *, idxtype *, idxtype *, idxtype *); - -/* node_refine.c */ -void ComputeNodePartitionParams0(CtrlType *, GraphType *, WorkSpaceType *); -void ComputeNodePartitionParams(CtrlType *, GraphType *, WorkSpaceType *); -void KWayNodeRefine0(CtrlType *, GraphType *, WorkSpaceType *, int, float); -void KWayNodeRefine(CtrlType *, GraphType *, WorkSpaceType *, int, float); -void KWayNodeRefine2(CtrlType *, GraphType *, WorkSpaceType *, int, float); -void PrintNodeBalanceInfo(CtrlType *, int, idxtype *, idxtype *, idxtype *, int); - -/* initmsection.c */ -void InitMultisection(CtrlType *, GraphType *, WorkSpaceType *); -GraphType *AssembleMultisectedGraph(CtrlType *, GraphType *, WorkSpaceType *); - -/* order.c */ -void MultilevelOrder(CtrlType *, GraphType *, idxtype *, idxtype *, WorkSpaceType *); -void LabelSeparators(CtrlType *, GraphType *, idxtype *, idxtype *, idxtype *, idxtype *, WorkSpaceType *); -void CompactGraph(CtrlType *, GraphType *, idxtype *, WorkSpaceType *); -void LocalOrder(CtrlType *, GraphType *, idxtype *, int, WorkSpaceType *); -void LocalNDOrder(CtrlType *, GraphType *, idxtype *, int, WorkSpaceType *); -void Order_Partition(CtrlType *, GraphType *, WorkSpaceType *); - -/* xyzpart.c */ -void Coordinate_Partition(CtrlType *, GraphType *, int, float *, int, WorkSpaceType *); -void PartSort(CtrlType *, GraphType *, KeyValueType *, WorkSpaceType *); - - -/* fpqueue.c */ -void FPQueueInit(FPQueueType *, int); -void FPQueueReset(FPQueueType *); -void FPQueueFree(FPQueueType *); -int FPQueueGetSize(FPQueueType *); -int FPQueueInsert(FPQueueType *, int, float); -int FPQueueDelete(FPQueueType *, int); -int FPQueueUpdate(FPQueueType *, int, float, float); -void FPQueueUpdateUp(FPQueueType *, int, float, float); -int FPQueueGetMax(FPQueueType *); -int FPQueueSeeMaxVtx(FPQueueType *); -float FPQueueSeeMaxGain(FPQueueType *); -float FPQueueGetKey(FPQueueType *); -int FPQueueGetQSize(FPQueueType *); -int CheckHeapFloat(FPQueueType *); - -/* stat.c */ -void Moc_ComputeSerialBalance(CtrlType *, GraphType *, idxtype *, float *); -void Moc_ComputeParallelBalance(CtrlType *, GraphType *, idxtype *, float *); -void Moc_PrintThrottleMatrix(CtrlType *, GraphType *, float *); -void Moc_ComputeRefineStats(CtrlType *, GraphType *, float *); - -/* debug.c */ -void PrintVector(CtrlType *, int, int, idxtype *, char *); -void PrintVector2(CtrlType *, int, int, idxtype *, char *); -void PrintPairs(CtrlType *, int, KeyValueType *, char *); -void PrintGraph(CtrlType *, GraphType *); -void PrintGraph2(CtrlType *, GraphType *); -void PrintSetUpInfo(CtrlType *ctrl, GraphType *graph); -void PrintTransferedGraphs(CtrlType *, int, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *); -void WriteMetisGraph(int, idxtype *, idxtype *, idxtype *, idxtype *); - -/* comm.c */ -void CommInterfaceData(CtrlType *, GraphType *, idxtype *, idxtype *, idxtype *); -void CommChangedInterfaceData(CtrlType *, GraphType *, int, idxtype *, idxtype *, KeyValueType *, KeyValueType *, idxtype *); -int GlobalSEMax(CtrlType *, int); -double GlobalSEMaxDouble(CtrlType *, double); -int GlobalSEMin(CtrlType *, int); -int GlobalSESum(CtrlType *, int); -float GlobalSEMaxFloat(CtrlType *, float); -float GlobalSEMinFloat(CtrlType *, float); -float GlobalSESumFloat(CtrlType *, float); - -/* util.c */ -void errexit(char *,...); -void myprintf(CtrlType *, char *f_str,...); -void rprintf(CtrlType *, char *f_str,...); -#ifndef DMALLOC -int *imalloc(int, char *); -idxtype *idxmalloc(int, char *); -float *fmalloc(int, char *); -int *ismalloc(int, int, char *); -idxtype *idxsmalloc(int, idxtype, char *); -void *GKmalloc(int, char *); -#endif -/*void GKfree(void **,...); */ -int *iset(int n, int val, int *x); -idxtype * idxset(int n, idxtype val, idxtype *x); -int idxamax(int n, idxtype *x); -int idxamin(int n, idxtype *x); -int idxasum(int n, idxtype *x); -float snorm2(int, float *); -float sdot(int n, float *, float *); -void saxpy(int, float, float *, float *); -void ikeyvalsort_org(int, KeyValueType *); -int IncKeyValueCmp(const void *, const void *); -void dkeyvalsort(int, KeyValueType *); -int DecKeyValueCmp(const void *, const void *); -int BSearch(int, idxtype *, int); -void RandomPermute(int, idxtype *, int); -void FastRandomPermute(int, idxtype *, int); -int ispow2(int); -int log2Int(int); -void BucketSortKeysDec(int, int, idxtype *, idxtype *); -float *sset(int n, float val, float *x); -int iamax(int, int *); -int idxamax_strd(int, idxtype *, int); -int idxamin_strd(int, idxtype *, int); -int samax_strd(int, float *, int); -int sfamax(int, float *); -int samin_strd(int, float *, int); -float idxavg(int, idxtype *); -float savg(int, float *); -int samax(int, float *); -int sfavg(int n, float *x); -int samax2(int, float *); -int samin(int, float *); -int idxsum(int, idxtype *); -int idxsum_strd(int, idxtype *, int); -void idxadd(int, idxtype *, idxtype *); -float ssum(int, float *); -float ssum_strd(int, float *, int); -void sscale(int, float, float *); -void saneg(int, float *); -float BetterVBalance(int, float *, float *, float *); -int IsHBalanceBetterTT(int, float *, float *, float *, float *); -int IsHBalanceBetterFT(int, float *, float *, float *, float *); -int myvalkeycompare(const void *, const void *); -int imyvalkeycompare(const void *, const void *); -float *fsmalloc(int, float, char *); -void saxpy2(int, float, float *, int, float *, int); -void GetThreeMax(int, float *, int *, int *, int *); - -/* qsort_special.c */ -void iidxsort(int, idxtype *); -void iintsort(int, int *); -void ikeysort(int, KeyValueType *); -void ikeyvalsort(int, KeyValueType *); - -/* grsetup.c */ -GraphType *Moc_SetUpGraph(CtrlType *, int, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, int *); -void SetUpCtrl(CtrlType *ctrl, int, int, MPI_Comm); -void ChangeNumbering(idxtype *, idxtype *, idxtype *, idxtype *, int, int, int); -void ChangeNumberingMesh(idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, int, int, int, int); -void ChangeNumberingMesh2(idxtype *elmdist, idxtype *eptr, idxtype *eind, - idxtype *xadj, idxtype *adjncy, idxtype *part, - int npes, int mype, int from); -void GraphRandomPermute(GraphType *); -void ComputeMoveStatistics(CtrlType *, GraphType *, int *, int *, int *); - -/* timer.c */ -void InitTimers(CtrlType *); -void PrintTimingInfo(CtrlType *); -void PrintTimer(CtrlType *, timer, char *); - -/* setup.c */ -void SetUp(CtrlType *, GraphType *, WorkSpaceType *); -int Home_PE(int, int, idxtype *, int); - - -/*********************/ -/* METIS subroutines */ -/*********************/ -void METIS_WPartGraphKway2(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void METIS_mCPartGraphRecursive2(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -int MCMlevelRecursiveBisection2(CtrlType *, GraphType *, int, float *, idxtype *, float, int); -void METIS_PartGraphKway(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, int *, int *, idxtype *); -void METIS_mCPartGraphKway(int *, int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, int *, float *, int *, int *, idxtype *); -void METIS_EdgeComputeSeparator(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *); -void METIS_NodeComputeSeparator(int *, idxtype *, idxtype *, idxtype *, idxtype *, int *, int *, idxtype *); -void METIS_NodeND(int *, idxtype *, idxtype *, int *, int *, idxtype *, idxtype *); -void METIS_NodeNDP(int, idxtype *, idxtype *, int, int *, idxtype *, idxtype *, idxtype *); - - - -/***********************/ -/* TESTing subroutines */ -/***********************/ - -/* pio.c */ -void ParallelReadGraph(GraphType *, char *, MPI_Comm); -void Moc_ParallelWriteGraph(CtrlType *, GraphType *, char *, int, int); -void ReadTestGraph(GraphType *, char *, MPI_Comm); -float *ReadTestCoordinates(GraphType *, char *, int, MPI_Comm); -void ReadMetisGraph(char *, int *, idxtype **, idxtype **); -void Moc_SerialReadGraph(GraphType *, char *, int *, MPI_Comm); -void Moc_SerialReadMetisGraph(char *, int *, int *, int *, int *, idxtype **, idxtype **, idxtype **, idxtype **, int *); - -/* adaptgraph */ -void AdaptGraph(GraphType *, int, MPI_Comm); -void AdaptGraph2(GraphType *, int, MPI_Comm); -void Mc_AdaptGraph(GraphType *, idxtype *, int, int, MPI_Comm); - -/* ptest.c */ -void TestParMetis(char *, MPI_Comm); - -/* NEW_ptest.c */ -void TestParMetis_V3(char *, MPI_Comm); -int ComputeRealCut(idxtype *, idxtype *, char *, MPI_Comm); -int ComputeRealCut2(idxtype *, idxtype *, idxtype *, idxtype *, char *, MPI_Comm); -void TestMoveGraph(GraphType *, GraphType *, idxtype *, MPI_Comm); -GraphType *SetUpGraph(CtrlType *, idxtype *, idxtype *, idxtype *, idxtype *, idxtype *, int); - -/* mienio.c */ -void mienIO(MeshType *, char *, int, int, MPI_Comm); - -/* meshio.c */ -void ParallelReadMesh(MeshType *, char *, MPI_Comm); - -/* parmetis.c */ -void ChangeToFortranNumbering(idxtype *, idxtype *, idxtype *, int, int); - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/pspases.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/pspases.c deleted file mode 100644 index 8b7a182..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/pspases.c +++ /dev/null @@ -1,167 +0,0 @@ -/* - * pspases.c - * - * This file contains ordering routines that are to be used with the - * parallel Cholesky factorization code PSPASES - * - * Started 10/14/97 - * George - * - * $Id: pspases.c,v 1.3 2003/07/21 17:18:53 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/*********************************************************************************** -* This function is the entry point of the serial ordering algorithm. -************************************************************************************/ -void ParMETIS_SerialNodeND(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, - int *options, idxtype *order, idxtype *sizes, MPI_Comm *comm) -{ - int i, npes, mype, seroptions[10]; - CtrlType ctrl; - GraphType *agraph; - idxtype *perm=NULL, *iperm=NULL; - int *sendcount, *displs; - - MPI_Comm_size(*comm, &npes); - MPI_Comm_rank(*comm, &mype); - - if (!ispow2(npes)) { - if (mype == 0) - printf("Error: The number of processors must be a power of 2!\n"); - return; - } - - if (*numflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, order, npes, mype, 1); - - SetUpCtrl(&ctrl, npes, options[OPTION_DBGLVL], *comm); - - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.MoveTmr)); - - agraph = AssembleEntireGraph(&ctrl, vtxdist, xadj, adjncy); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.MoveTmr)); - - - if (mype == 0) { - perm = idxmalloc(agraph->nvtxs, "PAROMETISS: perm"); - iperm = idxmalloc(agraph->nvtxs, "PAROMETISS: iperm"); - - seroptions[0] = 0; - /* - seroptions[1] = 3; - seroptions[2] = 1; - seroptions[3] = 2; - seroptions[4] = 128; - seroptions[5] = 1; - seroptions[6] = 0; - seroptions[7] = 1; - */ - - METIS_NodeNDP(agraph->nvtxs, agraph->xadj, agraph->adjncy, npes, seroptions, perm, iperm, sizes); - } - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.MoveTmr)); - - /* Broadcast the sizes array */ - MPI_Bcast((void *)sizes, 2*npes, IDX_DATATYPE, 0, ctrl.gcomm); - - /* Scatter the iperm */ - sendcount = imalloc(npes, "PAROMETISS: sendcount"); - displs = imalloc(npes, "PAROMETISS: displs"); - for (i=0; i<npes; i++) { - sendcount[i] = vtxdist[i+1]-vtxdist[i]; - displs[i] = vtxdist[i]; - } - - MPI_Scatterv((void *)iperm, sendcount, displs, IDX_DATATYPE, (void *)order, vtxdist[mype+1]-vtxdist[mype], IDX_DATATYPE, 0, ctrl.gcomm); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.MoveTmr)); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - - GKfree((void **)&agraph->xadj, (void **)&agraph->adjncy, (void **)&perm, (void **)&iperm, (void **)&sendcount, (void **)&displs, LTERM); - free(agraph); - FreeCtrl(&ctrl); - - if (*numflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, order, npes, mype, 0); - -} - - - -/************************************************************************* -* This function assembles the graph into a single processor -**************************************************************************/ -GraphType *AssembleEntireGraph(CtrlType *ctrl, idxtype *vtxdist, idxtype *xadj, idxtype *adjncy) -{ - int i, gnvtxs, nvtxs, gnedges, nedges; - int npes = ctrl->npes, mype = ctrl->mype; - idxtype *axadj, *aadjncy; - int *recvcounts, *displs; - GraphType *agraph; - - gnvtxs = vtxdist[npes]; - nvtxs = vtxdist[mype+1]-vtxdist[mype]; - nedges = xadj[nvtxs]; - - recvcounts = imalloc(npes, "AssembleGraph: recvcounts"); - displs = imalloc(npes+1, "AssembleGraph: displs"); - - /* Gather all the xadj arrays first */ - for (i=0; i<nvtxs; i++) - xadj[i] = xadj[i+1]-xadj[i]; - - axadj = idxmalloc(gnvtxs+1, "AssembleEntireGraph: axadj"); - - for (i=0; i<npes; i++) { - recvcounts[i] = vtxdist[i+1]-vtxdist[i]; - displs[i] = vtxdist[i]; - } - - /* Assemble the xadj and then the adjncy */ - MPI_Gatherv((void *)xadj, nvtxs, IDX_DATATYPE, axadj, recvcounts, displs, IDX_DATATYPE, 0, ctrl->comm); - - MAKECSR(i, nvtxs, xadj); - MAKECSR(i, gnvtxs, axadj); - - /* Gather all the adjncy arrays next */ - /* Determine the # of edges stored at each processor */ - MPI_Allgather((void *)(&nedges), 1, MPI_INT, (void *)recvcounts, 1, MPI_INT, ctrl->comm); - - displs[0] = 0; - for (i=1; i<npes+1; i++) - displs[i] = displs[i-1] + recvcounts[i-1]; - gnedges = displs[npes]; - - aadjncy = idxmalloc(gnedges, "AssembleEntireGraph: aadjncy"); - - /* Assemble the xadj and then the adjncy */ - MPI_Gatherv((void *)adjncy, nedges, IDX_DATATYPE, aadjncy, recvcounts, displs, IDX_DATATYPE, 0, ctrl->comm); - - /* myprintf(ctrl, "Gnvtxs: %d, Gnedges: %d\n", gnvtxs, gnedges); */ - - agraph = CreateGraph(); - agraph->nvtxs = gnvtxs; - agraph->nedges = gnedges; - agraph->xadj = axadj; - agraph->adjncy = aadjncy; - - return agraph; -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/redomylink.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/redomylink.c deleted file mode 100644 index 98b6810..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/redomylink.c +++ /dev/null @@ -1,175 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * redomylink.c - * - * This file contains code that implements the edge-based FM refinement - * - * Started 7/23/97 - * George - * - * $Id: redomylink.c,v 1.2 2003/07/21 17:18:53 karypis Exp $ - */ - -#include <parmetislib.h> -#define PE 0 - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void RedoMyLink(CtrlType *ctrl, GraphType *graph, idxtype *home, int me, - int you, float *flows, float *sr_cost, float *sr_lbavg) -{ - int h, i, r; - int nvtxs, nedges, ncon; - int pass, lastseed, totalv; - idxtype *xadj, *adjncy, *adjwgt, *where, *vsize; - idxtype *costwhere, *lbwhere, *selectwhere; - idxtype *rdata, *ed, *id, *bndptr, *bndind, *perm; - float *nvwgt, mycost; - float lbavg, lbvec[MAXNCON]; - float best_lbavg, other_lbavg = -1.0, bestcost, othercost = -1.0; - float npwgts[2*MAXNCON], pwgts[MAXNCON*2], tpwgts[MAXNCON*2]; - float ipc_factor, redist_factor, ftmp; -int mype; -MPI_Comm_rank(MPI_COMM_WORLD, &mype); - - nvtxs = graph->nvtxs; - nedges = graph->nedges; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - vsize = graph->vsize; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - ipc_factor = ctrl->ipc_factor; - redist_factor = ctrl->redist_factor; - - /**************************/ - /* set up data structures */ - /**************************/ - rdata = idxmalloc(7*nvtxs, "rdata"); - id = graph->sendind = rdata; - ed = graph->recvind = rdata + nvtxs; - bndptr = graph->sendptr = rdata + 2*nvtxs; - bndind = graph->recvptr = rdata + 3*nvtxs; - costwhere = rdata + 4*nvtxs; - lbwhere = rdata + 5*nvtxs; - perm = rdata + 6*nvtxs; - graph->gnpwgts = npwgts; - - RandomPermute(nvtxs, perm, 1); - idxcopy(nvtxs, where, costwhere); - idxcopy(nvtxs, where, lbwhere); - - /*****************************/ - /* compute target pwgts */ - /*****************************/ - sset(ncon*2, 0.0, pwgts); - for (h=0; h<ncon; h++) { - tpwgts[h] = -1.0 * flows[h]; - tpwgts[ncon+h] = flows[h]; - } - - for (i=0; i<nvtxs; i++) { - if (where[i] == me) { - for (h=0; h<ncon; h++) { - tpwgts[h] += nvwgt[i*ncon+h]; - pwgts[h] += nvwgt[i*ncon+h]; - } - } - else { - ASSERTS(where[i] == you); - for (h=0; h<ncon; h++) { - tpwgts[ncon+h] += nvwgt[i*ncon+h]; - pwgts[ncon+h] += nvwgt[i*ncon+h]; - } - } - } - - /* we don't want any weights to be less than zero */ - for (h=0; h<ncon; h++) { - if (tpwgts[h] < 0.0) { - tpwgts[ncon+h] += tpwgts[h]; - tpwgts[h] = 0.0; - } - - if (tpwgts[ncon+h] < 0.0) { - tpwgts[h] += tpwgts[ncon+h]; - tpwgts[ncon+h] = 0.0; - } - } - - /*****************************/ - /* now compute new bisection */ - /*****************************/ - bestcost = (float)idxsum(nedges, adjwgt)*ipc_factor + (float)idxsum(nvtxs, vsize)*redist_factor; - best_lbavg = 10.0; - - lastseed = 0; - for (pass = N_MOC_REDO_PASSES; pass>0; pass--) { - idxset(nvtxs, 1, where); - - /***************************/ - /* find seed vertices */ - /***************************/ - r = perm[lastseed] % nvtxs; - lastseed = (lastseed+1) % nvtxs; - where[r] = 0; - - Moc_Serial_Compute2WayPartitionParams(graph); - Moc_Serial_Init2WayBalance(graph, tpwgts); - Moc_Serial_FM_2WayRefine(graph, tpwgts, 4); - Moc_Serial_Balance2Way(graph, tpwgts, 1.02); - Moc_Serial_FM_2WayRefine(graph, tpwgts, 4); - - for (i=0; i<nvtxs; i++) - where[i] = (where[i] == 0) ? me : you; - - for (i=0; i<ncon; i++) { - ftmp = (pwgts[i]+pwgts[ncon+i])/2.0; - if (ftmp != 0.0) - lbvec[i] = fabs(npwgts[i]-tpwgts[i])/ftmp; - else - lbvec[i] = 0.0; - } - lbavg = savg(ncon, lbvec); - - totalv = 0; - for (i=0; i<nvtxs; i++) - if (where[i] != home[i]) - totalv += vsize[i]; - - mycost = (float)(graph->mincut)*ipc_factor + (float)totalv*redist_factor; - - if (bestcost >= mycost) { - bestcost = mycost; - other_lbavg = lbavg; - idxcopy(nvtxs, where, costwhere); - } - - if (best_lbavg >= lbavg) { - best_lbavg = lbavg; - othercost = mycost; - idxcopy(nvtxs, where, lbwhere); - } - } - - if (other_lbavg <= .05) { - selectwhere = costwhere; - *sr_cost = bestcost; - *sr_lbavg = other_lbavg; - } - else { - selectwhere = lbwhere; - *sr_cost = othercost; - *sr_lbavg = best_lbavg; - } - - idxcopy(nvtxs, selectwhere, where); - - GKfree((void **)&rdata, LTERM); - return; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/remap.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/remap.c deleted file mode 100644 index 31f186b..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/remap.c +++ /dev/null @@ -1,181 +0,0 @@ -/* - * premap.c - * - * This file contains code that computes the assignment of processors to - * partition numbers so that it will minimize the redistribution cost - * - * Started 4/16/98 - * George - * - * $Id: remap.c,v 1.2 2003/07/21 17:18:53 karypis Exp $ - * - */ - -#include <parmetislib.h> - -/************************************************************************* -* This function remaps that graph so that it will minimize the -* redistribution cost -**************************************************************************/ -void ParallelReMapGraph(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, nvtxs, nparts; - idxtype *where, *vsize, *map, *lpwgts; - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RemapTmr)); - - if (ctrl->npes != ctrl->nparts) { - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RemapTmr)); - return; - } - - nvtxs = graph->nvtxs; - where = graph->where; - vsize = graph->vsize; - nparts = ctrl->nparts; - - map = wspace->pv1; - lpwgts = idxset(nparts, 0, wspace->pv2); - - for (i=0; i<nvtxs; i++) - lpwgts[where[i]] += (vsize == NULL) ? 1 : vsize[i]; - - ParallelTotalVReMap(ctrl, lpwgts, map, wspace, NREMAP_PASSES, graph->ncon); - - for (i=0; i<nvtxs; i++) - where[i] = map[where[i]]; - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RemapTmr)); -} - - -/************************************************************************* -* This function computes the assignment using the the objective the -* minimization of the total volume of data that needs to move -**************************************************************************/ -void ParallelTotalVReMap(CtrlType *ctrl, idxtype *lpwgts, idxtype *map, - WorkSpaceType *wspace, int npasses, int ncon) -{ - int i, ii, j, k, nparts, mype; - int pass, maxipwgt, nmapped, oldwgt, newwgt, done; - idxtype *rowmap, *mylpwgts; - KeyValueType *recv, send; - int nsaved, gnsaved; - - mype = ctrl->mype; - nparts = ctrl->nparts; - recv = (KeyValueType *)GKmalloc(sizeof(KeyValueType)*nparts, "remap: recv"); - mylpwgts = idxmalloc(nparts, "mylpwgts"); - - done = nmapped = 0; - idxset(nparts, -1, map); - rowmap = idxset(nparts, -1, wspace->pv3); - idxcopy(nparts, lpwgts, mylpwgts); - for (pass=0; pass<npasses; pass++) { - maxipwgt = idxamax(nparts, mylpwgts); - - if (mylpwgts[maxipwgt] > 0 && !done) { - send.key = -mylpwgts[maxipwgt]; - send.val = mype*nparts+maxipwgt; - } - else { - send.key = 0; - send.val = -1; - } - - /* each processor sends its selection */ - MPI_Allgather((void *)&send, 2, IDX_DATATYPE, (void *)recv, 2, IDX_DATATYPE, ctrl->comm); - - ikeysort(nparts, recv); - if (recv[0].key == 0) - break; - - /* now make as many assignments as possible */ - for (ii=0; ii<nparts; ii++) { - i = recv[ii].val; - - if (i == -1) - continue; - - j = i % nparts; - k = i / nparts; - if (map[j] == -1 && rowmap[k] == -1 && SimilarTpwgts(ctrl->tpwgts, ncon, j, k)) { - map[j] = k; - rowmap[k] = j; - nmapped++; - mylpwgts[j] = 0; - if (mype == k) - done = 1; - } - - if (nmapped == nparts) - break; - } - - if (nmapped == nparts) - break; - } - - /* Map unmapped partitions */ - if (nmapped < nparts) { - for (i=j=0; j<nparts && nmapped<nparts; j++) { - if (map[j] == -1) { - for (; i<nparts; i++) { - if (rowmap[i] == -1 && SimilarTpwgts(ctrl->tpwgts, ncon, i, j)) { - map[j] = i; - rowmap[i] = j; - nmapped++; - break; - } - } - } - } - } - - /* check to see if remapping fails (due to dis-similar tpwgts) */ - /* if remapping fails, revert to original mapping */ - if (nmapped < nparts) { - for (i=0; i<nparts; i++) - map[i] = i; - IFSET(ctrl->dbglvl, DBG_REMAP, rprintf(ctrl, "Savings from parallel remapping: %0\n")); - } - else { - /* check for a savings */ - oldwgt = lpwgts[mype]; - newwgt = lpwgts[rowmap[mype]]; - nsaved = newwgt - oldwgt; - gnsaved = GlobalSESum(ctrl, nsaved); - - /* undo everything if we don't see a savings */ - if (gnsaved <= 0) { - for (i=0; i<nparts; i++) - map[i] = i; - } - IFSET(ctrl->dbglvl, DBG_REMAP, rprintf(ctrl, "Savings from parallel remapping: %d\n", amax(0,gnsaved))); - } - - GKfree((void **)&recv, (void **)&mylpwgts, LTERM); - -} - - -/************************************************************************* -* This function computes the assignment using the the objective the -* minimization of the total volume of data that needs to move -**************************************************************************/ -int SimilarTpwgts(float *tpwgts, int ncon, int s1, int s2) -{ - int i; - - for (i=0; i<ncon; i++) - if (fabs(tpwgts[s1*ncon+i]-tpwgts[s2*ncon+i]) > SMALLFLOAT) - break; - - if (i == ncon) - return 1; - - return 0; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/rename.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/rename.h deleted file mode 100644 index d993257..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/rename.h +++ /dev/null @@ -1,290 +0,0 @@ -/* kmetis.c */ -#define Moc_Global_Partition Moc_Global_Partition__ - -/* mmetis.c */ - -/* gkmetis.c */ - -/* match.c */ -#define Moc_GlobalMatch_Balance Moc_GlobalMatch_Balance__ - -/* coarsen.c */ -#define Moc_Global_CreateCoarseGraph Moc_Global_CreateCoarseGraph__ - -/* initpart.c */ -#define Moc_InitPartition_RB Moc_InitPartition_RB__ -#define Moc_KeepPart Moc_KeepPart__ - -/* kwayrefine.c */ -#define Moc_ProjectPartition Moc_ProjectPartition__ -#define Moc_ComputePartitionParams Moc_ComputePartitionParams__ - -/* kwayfm.c */ -#define Moc_KWayFM Moc_KWayFM__ - -/* kwaybalance.c */ -#define Moc_KWayBalance Moc_KWayBalance__ - -/* remap.c */ -#define ParallelReMapGraph ParallelReMapGraph__ -#define ParallelTotalVReMap ParallelTotalVReMap__ -#define SimilarTpwgts SimilarTpwgts__ - -/* move.c */ -#define Moc_MoveGraph Moc_MoveGraph__ -#define CheckMGraph CheckMGraph__ -#define ProjectInfoBack ProjectInfoBack__ -#define FindVtxPerm FindVtxPerm__ - -/* memory.c */ -#define PreAllocateMemory PreAllocateMemory__ -#define FreeWSpace FreeWSpace__ -#define FreeCtrl FreeCtrl__ -#define CreateGraph CreateGraph__ -#define InitGraph InitGraph__ -#define FreeGraph FreeGraph__ -#define FreeInitialGraphAndRemap FreeInitialGraphAndRemap__ - - -/************************/ -/* Adaptive subroutines */ -/************************/ -/* ametis.c */ -#define Adaptive_Partition Adaptive_Partition__ - -/* rmetis.c */ - -/* lmatch.c */ -#define Mc_LocalMatch_HEM Mc_LocalMatch_HEM__ -#define Mc_Local_CreateCoarseGraph Mc_Local_CreateCoarseGraph__ - -/* wave.c */ -#define WavefrontDiffusion WavefrontDiffusion__ - -/* balancemylink.c */ -#define BalanceMyLink BalanceMyLink__ - -/* redomylink.c */ -#define RedoMyLink RedoMyLink__ - -/* initbalance.c */ -#define Balance_Partition Balance_Partition__ -#define Moc_AssembleAdaptiveGraph Moc_AssembleAdaptiveGraph__ - -/* mdiffusion.c */ -#define Moc_Diffusion Moc_Diffusion__ -#define ExtractGraph ExtractGraph__ - -/* diffutil.c */ -#define SetUpConnectGraph SetUpConnectGraph__ -#define Mc_ComputeMoveStatistics Mc_ComputeMoveStatistics__ -#define Mc_ComputeSerialTotalV Mc_ComputeSerialTotalV__ -#define ComputeLoad ComputeLoad__ -#define ConjGrad2 ConjGrad2__ -#define mvMult2 mvMult2__ -#define ComputeTransferVector ComputeTransferVector__ -#define ComputeSerialEdgeCut ComputeSerialEdgeCut__ -#define ComputeSerialTotalV ComputeSerialTotalV__ - -/* akwayfm.c */ -#define Moc_KWayAdaptiveRefine Moc_KWayAdaptiveRefine__ - -/* selectq.c */ -#define Moc_DynamicSelectQueue Moc_DynamicSelectQueue__ -#define Moc_HashVwgts Moc_HashVwgts__ -#define Moc_HashVRank Moc_HashVRank__ - -/* csrmatch.c */ -#define CSR_Match_SHEM CSR_Match_SHEM__ - -/* serial.c */ -#define Moc_SerialKWayAdaptRefine Moc_SerialKWayAdaptRefine__ -#define Moc_ComputeSerialPartitionParams Moc_ComputeSerialPartitionParams__ -#define AreAllHVwgtsBelow AreAllHVwgtsBelow__ -#define ComputeHKWayLoadImbalance ComputeHKWayLoadImbalance__ -#define SerialRemap SerialRemap__ -#define SSMIncKeyCmp SSMIncKeyCmp__ -#define Moc_Serial_FM_2WayRefine Moc_Serial_FM_2WayRefine__ -#define Serial_SelectQueue Serial_SelectQueue__ -#define Serial_BetterBalance Serial_BetterBalance__ -#define Serial_Compute2WayHLoadImbalance Serial_Compute2WayHLoadImbalance__ -#define Moc_Serial_Balance2Way Moc_Serial_Balance2Way__ -#define Moc_Serial_Init2WayBalance Moc_Serial_Init2WayBalance__ -#define Serial_SelectQueueOneWay Serial_SelectQueueOneWay__ -#define Moc_Serial_Compute2WayPartitionParams Moc_Serial_Compute2WayPartitionParams__ -#define Serial_AreAnyVwgtsBelow Serial_AreAnyVwgtsBelow__ - -/* weird.c */ -#define PartitionSmallGraph PartitionSmallGraph__ -#define CheckInputs CheckInputs__ - - -/****************************/ -/* Mesh to Dual subroutines */ -/****************************/ -/* mesh.c */ -/* msetup.c */ -#define SetUpMesh SetUpMesh__ -#define CreateMesh CreateMesh__ -#define InitMesh InitMesh__ - - -/************************/ -/* Ordering subroutines */ -/************************/ -/* ometis.c */ -/* pspases.c */ -#define AssembleEntireGraph AssembleEntireGraph__ - -/* node_refine.c */ -#define ComputeNodePartitionParams0 ComputeNodePartitionParams0__ -#define ComputeNodePartitionParams ComputeNodePartitionParams__ -#define KWayNodeRefine0 KWayNodeRefine0__ -#define KWayNodeRefine KWayNodeRefine__ -#define KWayNodeRefine2 KWayNodeRefine2__ -#define PrintNodeBalanceInfo PrintNodeBalanceInfo__ - -/* initmsection.c */ -#define InitMultisection InitMultisection__ -#define AssembleMultisectedGraph AssembleMultisectedGraph__ - -/* order.c */ -#define MultilevelOrder MultilevelOrder__ -#define LabelSeparators LabelSeparators__ -#define CompactGraph CompactGraph__ -#define LocalOrder LocalOrder__ -#define LocalNDOrder LocalNDOrder__ -#define Order_Partition Order_Partition__ - -/* xyzpart.c */ -#define Coordinate_Partition Coordinate_Partition__ -#define PartSort PartSort__ - -/***********************/ -/* Utility subroutines */ -/***********************/ -/* fpqueue.c */ -#define FPQueueInit FPQueueInit__ -#define FPQueueReset FPQueueReset__ -#define FPQueueFree FPQueueFree__ -#define FPQueueGetSize FPQueueGetSize__ -#define FPQueueInsert FPQueueInsert__ -#define FPQueueDelete FPQueueDelete__ -#define FPQueueUpdate FPQueueUpdate__ -#define FPQueueUpdateUp FPQueueUpdateUp__ -#define FPQueueGetMax FPQueueGetMax__ -#define FPQueueSeeMaxVtx FPQueueSeeMaxVtx__ -#define FPQueueSeeMaxGain FPQueueSeeMaxGain__ -#define FPQueueGetKey FPQueueGetKey__ -#define FPQueueGetQSize FPQueueGetQSize__ -#define CheckHeapFloat CheckHeapFloat__ - -/* stat.c */ -#define Moc_ComputeSerialBalance Moc_ComputeSerialBalance__ -#define Moc_ComputeParallelBalance Moc_ComputeParallelBalance__ -#define Moc_PrintThrottleMatrix Moc_PrintThrottleMatrix__ -#define Moc_ComputeRefineStats Moc_ComputeRefineStats__ - -/* debug.c */ -#define PrintVector PrintVector__ -#define PrintVector2 PrintVector2__ -#define PrintPairs PrintPairs__ -#define PrintGraph PrintGraph__ -#define PrintGraph2 PrintGraph2__ -#define PrintSetUpInfo PrintSetUpInfo__ -#define PrintTransferedGraphs PrintTransferedGraphs__ -#define WriteMetisGraph WriteMetisGraph__ - -/* comm.c */ -#define CommInterfaceData CommInterfaceData__ -#define CommChangedInterfaceData CommChangedInterfaceData__ -#define GlobalSEMax GlobalSEMax__ -#define GlobalSEMaxDouble GlobalSEMaxDouble__ -#define GlobalSEMin GlobalSEMin__ -#define GlobalSESum GlobalSESum__ -#define GlobalSEMaxFloat GlobalSEMaxFloat__ -#define GlobalSEMinFloat GlobalSEMinFloat__ -#define GlobalSESumFloat GlobalSESumFloat__ - -/* util.c */ -#define errexit errexit__ -#define myprintf myprintf__ -#define rprintf rprintf__ -#define imalloc imalloc__ -#define idxmalloc idxmalloc__ -#define fmalloc fmalloc__ -#define ismalloc ismalloc__ -#define idxsmalloc idxsmalloc__ -#define GKmalloc GKmalloc__ -#define GKfree GKfree__ -#define iset iset__ -#define idxset idxset__ -#define idxamax idxamax__ -#define idxamin idxamin__ -#define idxasum idxasum__ -#define snorm2 snorm2__ -#define sdot sdot__ -#define saxpy saxpy__ -#define ikeyvalsort_org ikeyvalsort_org__ -#define IncKeyValueCmp IncKeyValueCmp__ -#define dkeyvalsort dkeyvalsort__ -#define DecKeyValueCmp DecKeyValueCmp__ -#define BSearch BSearch__ -#define RandomPermute RandomPermute__ -#define FastRandomPermute FastRandomPermute__ -#define ispow2 ispow2__ -#define log2Int log2Int__ -#define BucketSortKeysDec BucketSortKeysDec__ -#define sset sset__ -#define iamax iamax__ -#define idxamax_strd idxamax_strd__ -#define idxamin_strd idxamin_strd__ -#define samax_strd samax_strd__ -#define sfamax sfamax__ -#define samin_strd samin_strd__ -#define idxavg idxavg__ -#define savg savg__ -#define samax samax__ -#define sfavg sfavg__ -#define samax2 samax2__ -#define samin samin__ -#define idxsum idxsum__ -#define idxsum_strd idxsum_strd__ -#define idxadd idxadd__ -#define ssum ssum__ -#define ssum_strd ssum_strd__ -#define sscale sscale__ -#define saneg saneg__ -#define BetterVBalance BetterVBalance__ -#define IsHBalanceBetterTT IsHBalanceBetterTT__ -#define IsHBalanceBetterFT IsHBalanceBetterFT__ -#define myvalkeycompare myvalkeycompare__ -#define imyvalkeycompare imyvalkeycompare__ -#define fsmalloc fsmalloc__ -#define saxpy2 saxpy2__ -#define GetThreeMax GetThreeMax__ - -/* qsort_special.c */ -#define iidxsort iidxsort__ -#define iintsort iintsort__ -#define ikeysort ikeysort__ -#define ikeyvalsort ikeyvalsort__ - -/* grsetup.c */ -#define Moc_SetUpGraph Moc_SetUpGraph__ -#define SetUpCtrl SetUpCtrl__ -#define ChangeNumbering ChangeNumbering__ -#define ChangeNumberingMesh ChangeNumberingMesh__ -#define GraphRandomPermute GraphRandomPermute__ -#define ComputeMoveStatistics ComputeMoveStatistics__ - -/* timer.c */ -#define InitTimers InitTimers__ -#define PrintTimingInfo PrintTimingInfo__ -#define PrintTimer PrintTimer__ - -/* setup.c */ -#define SetUp SetUp__ -#define Home_PE Home_PE__ - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/rmetis.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/rmetis.c deleted file mode 100644 index 3755209..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/rmetis.c +++ /dev/null @@ -1,165 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * rmetis.c - * - * This is the entry point of the partitioning refinement routine - * - * Started 10/19/96 - * George - * - * $Id: rmetis.c,v 1.5 2003/07/25 04:01:05 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - -/*********************************************************************************** -* This function is the entry point of the parallel multilevel local diffusion -* algorithm. It uses parallel undirected diffusion followed by adaptive k-way -* refinement. This function utilizes local coarsening. -************************************************************************************/ -void ParMETIS_V3_RefineKway(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, - idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *ncon, - int *nparts, float *tpwgts, float *ubvec, int *options, int *edgecut, - idxtype *part, MPI_Comm *comm) -{ - int h, i; - int npes, mype; - CtrlType ctrl; - WorkSpaceType wspace; - GraphType *graph; - int tewgt, tvsize, nmoved, maxin, maxout; - float gtewgt, gtvsize, avg, maximb; - int ps_relation, seed, dbglvl = 0; - int iwgtflag, inumflag, incon, inparts, ioptions[10]; - float *itpwgts, iubvec[MAXNCON]; - - MPI_Comm_size(*comm, &npes); - MPI_Comm_rank(*comm, &mype); - - /********************************/ - /* Try and take care bad inputs */ - /********************************/ - if (options != NULL && options[0] == 1) - dbglvl = options[PMV3_OPTION_DBGLVL]; - CheckInputs(REFINE_PARTITION, npes, dbglvl, wgtflag, &iwgtflag, numflag, &inumflag, - ncon, &incon, nparts, &inparts, tpwgts, &itpwgts, ubvec, iubvec, - NULL, NULL, options, ioptions, part, comm); - - /* ADD: take care of disconnected graph */ - /* ADD: take care of highly unbalanced vtxdist */ - /*********************************/ - /* Take care the nparts = 1 case */ - /*********************************/ - if (inparts <= 1) { - idxset(vtxdist[mype+1]-vtxdist[mype], 0, part); - *edgecut = 0; - return; - } - - /**************************/ - /* Set up data structures */ - /**************************/ - if (inumflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 1); - - /*****************************/ - /* Set up control structures */ - /*****************************/ - if (ioptions[0] == 1) { - dbglvl = ioptions[PMV3_OPTION_DBGLVL]; - seed = ioptions[PMV3_OPTION_SEED]; - ps_relation = (npes == inparts) ? ioptions[PMV3_OPTION_PSR] : DISCOUPLED; - } - else { - dbglvl = GLOBAL_DBGLVL; - seed = GLOBAL_SEED; - ps_relation = (npes == inparts) ? COUPLED : DISCOUPLED; - } - - SetUpCtrl(&ctrl, inparts, dbglvl, *comm); - ctrl.CoarsenTo = amin(vtxdist[npes]+1, 50*incon*amax(npes, inparts)); - ctrl.ipc_factor = 1000.0; - ctrl.redist_factor = 1.0; - ctrl.redist_base = 1.0; - ctrl.seed = (seed == 0) ? mype : seed*mype; - ctrl.sync = GlobalSEMax(&ctrl, seed); - ctrl.partType = REFINE_PARTITION; - ctrl.ps_relation = ps_relation; - ctrl.tpwgts = itpwgts; - - graph = Moc_SetUpGraph(&ctrl, incon, vtxdist, xadj, vwgt, adjncy, adjwgt, &iwgtflag); - graph->vsize = idxsmalloc(graph->nvtxs, 1, "vsize"); - - graph->home = idxmalloc(graph->nvtxs, "home"); - if (ctrl.ps_relation == COUPLED) - idxset(graph->nvtxs, mype, graph->home); - else - idxcopy(graph->nvtxs, part, graph->home); - - tewgt = idxsum(graph->nedges, graph->adjwgt); - tvsize = idxsum(graph->nvtxs, graph->vsize); - gtewgt = (float) GlobalSESum(&ctrl, tewgt) + 1.0/graph->gnvtxs; - gtvsize = (float) GlobalSESum(&ctrl, tvsize) + 1.0/graph->gnvtxs; - ctrl.edge_size_ratio = gtewgt/gtvsize; - scopy(incon, iubvec, ctrl.ubvec); - - PreAllocateMemory(&ctrl, graph, &wspace); - - /***********************/ - /* Partition and Remap */ - /***********************/ - IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr)); - - Adaptive_Partition(&ctrl, graph, &wspace); - ParallelReMapGraph(&ctrl, graph, &wspace); - - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr)); - - idxcopy(graph->nvtxs, graph->where, part); - if (edgecut != NULL) - *edgecut = graph->mincut; - - /***********************/ - /* Take care of output */ - /***********************/ - IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl)); - IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm)); - - if (ctrl.dbglvl&DBG_INFO) { - Mc_ComputeMoveStatistics(&ctrl, graph, &nmoved, &maxin, &maxout); - rprintf(&ctrl, "Final %3d-way Cut: %6d \tBalance: ", inparts, graph->mincut); - avg = 0.0; - for (h=0; h<incon; h++) { - maximb = 0.0; - for (i=0; i<inparts; i++) - maximb = amax(maximb, graph->gnpwgts[i*incon+h]/itpwgts[i*incon+h]); - avg += maximb; - rprintf(&ctrl, "%.3f ", maximb); - } - rprintf(&ctrl, "\nNMoved: %d %d %d %d\n", nmoved, maxin, maxout, maxin+maxout); - } - - /*************************************/ - /* Free memory, renumber, and return */ - /*************************************/ - GKfree((void **)&graph->lnpwgts, (void **)&graph->gnpwgts, (void **)&graph->nvwgt, (void **)(&graph->home), (void **)(&graph->vsize), LTERM); - - GKfree((void **)&itpwgts, LTERM); - FreeInitialGraphAndRemap(graph, iwgtflag); - FreeWSpace(&wspace); - FreeCtrl(&ctrl); - - if (inumflag == 1) - ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 0); - - return; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/selectq.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/selectq.c deleted file mode 100644 index 5ec9109..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/selectq.c +++ /dev/null @@ -1,340 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * selectq.c - * - * This file contains the driving routines for multilevel k-way refinement - * - * Started 7/28/97 - * George - * - * $Id: selectq.c,v 1.2 2003/07/21 17:18:53 karypis Exp $ - */ - -#include <parmetislib.h> - -/************************************************************************* -* This stuff is hardcoded for up to four constraints -**************************************************************************/ -void Moc_DynamicSelectQueue(int nqueues, int ncon, int subdomain1, int subdomain2, - idxtype *currentq, float *flows, int *from, int *qnum, int minval, float avgvwgt, - float maxdiff) -{ - int i, j; - int hash, index = -1, current; - int cand[MAXNCON], rank[MAXNCON], dont_cares[MAXNCON]; - int nperms, perm[24][5]; - float sign = 0.0; - KVType array[MAXNCON]; -int mype; -MPI_Comm_rank(MPI_COMM_WORLD, &mype); - - *qnum = -1; - - if (*from == -1) { - for (i=0; i<ncon; i++) { - array[i].key = i; - array[i].val = (fabs)(flows[i]); - } - - qsort(array, ncon, sizeof(KVType), myvalkeycompare); - ASSERTS(array[ncon-1].val - array[0].val <= maxdiff) - - if (flows[array[ncon-1].key]>avgvwgt*MOC_GD_GRANULARITY_FACTOR) { - *from = subdomain1; - sign = 1.0; - index = 0; - } - - if (flows[array[ncon-1].key]<-1.0*avgvwgt*MOC_GD_GRANULARITY_FACTOR) { - *from = subdomain2; - sign = -1.0; - index = nqueues; - } - - if (*from == -1) { - return; - } - } - else { - ASSERTS(*from == subdomain1 || *from == subdomain2); - - if (*from == subdomain1) { - sign = 1.0; - index = 0; - } - else { - sign = -1.0; - index = nqueues; - } - } - - for (i=0; i<ncon; i++) { - array[i].key = i; - array[i].val = flows[i] * sign; - } - - qsort(array, ncon, sizeof(KVType), myvalkeycompare); - - iset(ncon, 1, dont_cares); - - current = 0; - for (i=0; i<ncon-1; i++) - if (array[i+1].val - array[i].val < maxdiff * MC_FLOW_BALANCE_THRESHOLD && dont_cares[current] < ncon-1) { - dont_cares[current]++; - dont_cares[i+1] = 0; - } - else - current = i+1; - - - switch (ncon) { - /***********************/ - case 2: - nperms = 1; - perm[0][0] = 0; perm[0][1] = 1; - - break; - /***********************/ - case 3: - - /* if the first and second flows are close */ - if (dont_cares[0] == 2 && dont_cares[1] == 0 && dont_cares[2] == 1) { - nperms = 4; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; - perm[1][0] = 1; perm[1][1] = 0; perm[1][2] = 2; - perm[2][0] = 0; perm[2][1] = 2; perm[2][2] = 1; - perm[3][0] = 1; perm[3][1] = 2; perm[3][2] = 0; - break; - } - - /* if the second and third flows are close */ - if (dont_cares[0] == 1 && dont_cares[1] == 2 && dont_cares[2] == 0) { - nperms = 4; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; - perm[1][0] = 0; perm[1][1] = 2; perm[1][2] = 1; - perm[2][0] = 1; perm[2][1] = 0; perm[2][2] = 2; - perm[3][0] = 2; perm[3][1] = 0; perm[3][2] = 1; - break; - } - - /* all or none of the flows are close */ - nperms = 3; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; - perm[1][0] = 1; perm[1][1] = 0; perm[1][2] = 2; - perm[2][0] = 0; perm[2][1] = 2; perm[2][2] = 1; - - break; - /***********************/ - case 4: - - if (dont_cares[0] == 2 && dont_cares[1] == 0 && - dont_cares[2] == 1 && dont_cares[3] == 1) { - nperms = 14; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; perm[0][3] = 3; - perm[1][0] = 1; perm[1][1] = 0; perm[1][2] = 2; perm[1][3] = 3; - perm[2][0] = 0; perm[2][1] = 2; perm[2][2] = 1; perm[2][3] = 3; - perm[3][0] = 1; perm[3][1] = 2; perm[3][2] = 0; perm[3][3] = 3; - perm[4][0] = 0; perm[4][1] = 1; perm[4][2] = 3; perm[4][3] = 2; - perm[5][0] = 1; perm[5][1] = 0; perm[5][2] = 3; perm[5][3] = 2; - - perm[6][0] = 0; perm[6][1] = 3; perm[6][2] = 1; perm[6][3] = 2; - perm[7][0] = 1; perm[7][1] = 3; perm[7][2] = 0; perm[7][3] = 2; - - perm[8][0] = 0; perm[8][1] = 2; perm[8][2] = 3; perm[8][3] = 1; - perm[9][0] = 1; perm[9][1] = 2; perm[9][2] = 3; perm[9][3] = 0; - - perm[10][0] = 2; perm[10][1] = 0; perm[10][2] = 1; perm[10][3] = 3; - perm[11][0] = 2; perm[11][1] = 1; perm[11][2] = 0; perm[11][3] = 3; - - perm[12][0] = 0; perm[12][1] = 3; perm[12][2] = 2; perm[12][3] = 1; - perm[13][0] = 1; perm[13][1] = 3; perm[13][2] = 2; perm[13][3] = 0; - break; - } - - if (dont_cares[0] == 1 && dont_cares[1] == 1 && - dont_cares[2] == 2 && dont_cares[3] == 0) { - nperms = 14; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; perm[0][3] = 3; - perm[1][0] = 0; perm[1][1] = 1; perm[1][2] = 3; perm[1][3] = 2; - perm[2][0] = 0; perm[2][1] = 2; perm[2][2] = 1; perm[2][3] = 3; - perm[3][0] = 0; perm[3][1] = 3; perm[3][2] = 1; perm[3][3] = 2; - perm[4][0] = 1; perm[4][1] = 0; perm[4][2] = 2; perm[4][3] = 3; - perm[5][0] = 1; perm[5][1] = 0; perm[5][2] = 3; perm[5][3] = 2; - - perm[6][0] = 1; perm[6][1] = 2; perm[6][2] = 0; perm[6][3] = 3; - perm[7][0] = 1; perm[7][1] = 3; perm[7][2] = 0; perm[7][3] = 2; - - perm[8][0] = 2; perm[8][1] = 0; perm[8][2] = 1; perm[8][3] = 3; - perm[9][0] = 3; perm[9][1] = 0; perm[9][2] = 1; perm[9][3] = 2; - - perm[10][0] = 0; perm[10][1] = 2; perm[10][2] = 3; perm[10][3] = 1; - perm[11][0] = 0; perm[11][1] = 3; perm[11][2] = 2; perm[11][3] = 1; - - perm[12][0] = 2; perm[12][1] = 1; perm[12][2] = 0; perm[12][3] = 3; - perm[13][0] = 3; perm[13][1] = 1; perm[13][2] = 0; perm[13][3] = 2; - break; - } - - if (dont_cares[0] == 2 && dont_cares[1] == 0 && - dont_cares[2] == 2 && dont_cares[3] == 0) { - nperms = 14; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; perm[0][3] = 3; - perm[1][0] = 1; perm[1][1] = 0; perm[1][2] = 2; perm[1][3] = 3; - perm[2][0] = 0; perm[2][1] = 1; perm[2][2] = 3; perm[2][3] = 2; - perm[3][0] = 1; perm[3][1] = 0; perm[3][2] = 3; perm[3][3] = 2; - - perm[4][0] = 0; perm[4][1] = 2; perm[4][2] = 1; perm[4][3] = 3; - perm[5][0] = 1; perm[5][1] = 2; perm[5][2] = 0; perm[5][3] = 3; - perm[6][0] = 0; perm[6][1] = 3; perm[6][2] = 1; perm[6][3] = 2; - perm[7][0] = 1; perm[7][1] = 3; perm[7][2] = 0; perm[7][3] = 2; - - perm[8][0] = 2; perm[8][1] = 0; perm[8][2] = 1; perm[8][3] = 3; - perm[9][0] = 0; perm[9][1] = 2; perm[9][2] = 3; perm[9][3] = 1; - perm[10][0] = 2; perm[10][1] = 1; perm[10][2] = 0; perm[10][3] = 3; - perm[11][0] = 0; perm[11][1] = 3; perm[11][2] = 2; perm[11][3] = 1; - perm[12][0] = 3; perm[12][1] = 0; perm[12][2] = 1; perm[12][3] = 2; - perm[13][0] = 1; perm[13][1] = 2; perm[13][2] = 3; perm[13][3] = 0; - break; - } - - if (dont_cares[0] == 3 && dont_cares[1] == 0 && - dont_cares[2] == 0 && dont_cares[3] == 1) { - nperms = 14; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; perm[0][3] = 3; - perm[1][0] = 0; perm[1][1] = 2; perm[1][2] = 1; perm[1][3] = 3; - perm[2][0] = 1; perm[2][1] = 0; perm[2][2] = 2; perm[2][3] = 3; - perm[3][0] = 2; perm[3][1] = 0; perm[3][2] = 1; perm[3][3] = 3; - perm[4][0] = 1; perm[4][1] = 2; perm[4][2] = 0; perm[4][3] = 3; - perm[5][0] = 2; perm[5][1] = 1; perm[5][2] = 0; perm[5][3] = 3; - - perm[6][0] = 0; perm[6][1] = 1; perm[6][2] = 3; perm[6][3] = 2; - perm[7][0] = 1; perm[7][1] = 0; perm[7][2] = 3; perm[7][3] = 2; - perm[8][0] = 0; perm[8][1] = 2; perm[8][2] = 3; perm[8][3] = 1; - perm[9][0] = 2; perm[9][1] = 0; perm[9][2] = 3; perm[9][3] = 1; - perm[10][0] = 1; perm[10][1] = 2; perm[10][2] = 3; perm[10][3] = 0; - perm[11][0] = 2; perm[11][1] = 1; perm[11][2] = 3; perm[11][3] = 0; - - perm[12][0] = 0; perm[12][1] = 3; perm[12][2] = 1; perm[12][3] = 2; - perm[13][0] = 0; perm[13][1] = 3; perm[13][2] = 2; perm[13][3] = 1; - break; - } - - if (dont_cares[0] == 1 && dont_cares[1] == 3 && - dont_cares[2] == 0 && dont_cares[3] == 0) { - nperms = 14; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; perm[0][3] = 3; - perm[1][0] = 0; perm[1][1] = 2; perm[1][2] = 1; perm[1][3] = 3; - perm[2][0] = 0; perm[2][1] = 1; perm[2][2] = 3; perm[2][3] = 2; - perm[3][0] = 0; perm[3][1] = 2; perm[3][2] = 3; perm[3][3] = 1; - perm[4][0] = 0; perm[4][1] = 3; perm[4][2] = 1; perm[4][3] = 2; - perm[5][0] = 0; perm[5][1] = 3; perm[5][2] = 2; perm[5][3] = 1; - - perm[6][0] = 1; perm[6][1] = 0; perm[6][2] = 2; perm[6][3] = 3; - perm[7][0] = 1; perm[7][1] = 0; perm[7][2] = 3; perm[7][3] = 2; - perm[8][0] = 2; perm[8][1] = 0; perm[8][2] = 1; perm[8][3] = 3; - perm[9][0] = 2; perm[9][1] = 0; perm[9][2] = 3; perm[9][3] = 1; - perm[10][0] = 3; perm[10][1] = 0; perm[10][2] = 1; perm[10][3] = 2; - perm[11][0] = 3; perm[11][1] = 0; perm[11][2] = 2; perm[11][3] = 1; - - perm[12][0] = 1; perm[12][1] = 2; perm[12][2] = 0; perm[12][3] = 3; - perm[13][0] = 2; perm[13][1] = 1; perm[13][2] = 0; perm[13][3] = 3; - - break; - } - - nperms = 14; - perm[0][0] = 0; perm[0][1] = 1; perm[0][2] = 2; perm[0][3] = 3; - perm[1][0] = 1; perm[1][1] = 0; perm[1][2] = 2; perm[1][3] = 3; - perm[2][0] = 0; perm[2][1] = 2; perm[2][2] = 1; perm[2][3] = 3; - perm[3][0] = 0; perm[3][1] = 1; perm[3][2] = 3; perm[3][3] = 2; - perm[4][0] = 1; perm[4][1] = 0; perm[4][2] = 3; perm[4][3] = 2; - - perm[5][0] = 2; perm[5][1] = 0; perm[5][2] = 1; perm[5][3] = 3; - perm[6][0] = 0; perm[6][1] = 2; perm[6][2] = 3; perm[6][3] = 1; - - perm[7][0] = 1; perm[7][1] = 2; perm[7][2] = 0; perm[7][3] = 3; - perm[8][0] = 0; perm[8][1] = 3; perm[8][2] = 1; perm[8][3] = 2; - - perm[9][0] = 2; perm[9][1] = 1; perm[9][2] = 0; perm[9][3] = 3; - perm[10][0] = 0; perm[10][1] = 3; perm[10][2] = 2; perm[10][3] = 1; - perm[11][0] = 2; perm[11][1] = 0; perm[11][2] = 3; perm[11][3] = 1; - - perm[12][0] = 3; perm[12][1] = 0; perm[12][2] = 1; perm[12][3] = 2; - perm[13][0] = 1; perm[13][1] = 2; perm[13][2] = 3; perm[13][3] = 0; - break; - /***********************/ - default: - return; - } - - for (i=0; i<nperms; i++) { - for (j=0; j<ncon; j++) - cand[j] = array[perm[i][j]].key; - - for (j=0; j<ncon; j++) - rank[cand[j]] = j; - - - hash = Moc_HashVRank(ncon, rank) - minval; - if (currentq[hash+index] > 0) { - *qnum = hash; - return; - } - } - - return; -} - - -/************************************************************************* -* This function sorts the nvwgts of a vertex and returns a hashed value -**************************************************************************/ -int Moc_HashVwgts(int ncon, float *nvwgt) -{ - int i; - int multiplier, retval; - int rank[MAXNCON]; - KVType array[MAXNCON]; - - - for (i=0; i<ncon; i++) { - array[i].key = i; - array[i].val = nvwgt[i]; - } - - qsort(array, ncon, sizeof(KVType), myvalkeycompare); - for (i=0; i<ncon; i++) - rank[array[i].key] = i; - - multiplier = 1; - - retval = 0; - for (i=0; i<ncon; i++) { - multiplier *= (i+1); - retval += rank[ncon-i-1] * multiplier; - } - - return retval; -} - - -/************************************************************************* -* This function sorts the vwgts of a vertex and returns a hashed value -**************************************************************************/ -int Moc_HashVRank(int ncon, int *vwgt) -{ - int i, multiplier, retval; - - multiplier = 1; - - retval = 0; - for (i=0; i<ncon; i++) { - multiplier *= (i+1); - retval += vwgt[ncon-1-i] * multiplier; - } - - return retval; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/serial.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/serial.c deleted file mode 100644 index 630d4e5..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/serial.c +++ /dev/null @@ -1,1251 +0,0 @@ -/* - * serial.c - * - * This file contains code that implements k-way refinement - * - * Started 7/28/97 - * George - * - * $Id: serial.c,v 1.2 2003/07/21 17:18:53 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function performs k-way refinement -**************************************************************************/ -void Moc_SerialKWayAdaptRefine(GraphType *graph, int nparts, idxtype *home, - float *orgubvec, int npasses) -{ - int i, ii, iii, j, k; - int nvtxs, ncon, pass, nmoves, myndegrees; - int from, me, myhome, to, oldcut, gain, tmp; - idxtype *xadj, *adjncy, *adjwgt; - idxtype *where; - EdgeType *mydegrees; - RInfoType *rinfo, *myrinfo; - float *npwgts, *nvwgt, *minwgt, *maxwgt, ubvec[MAXNCON]; - int gain_is_greater, gain_is_same, fit_in_to, fit_in_from, going_home; - int zero_gain, better_balance_ft, better_balance_tt; - KeyValueType *cand; -int mype; -MPI_Comm_rank(MPI_COMM_WORLD, &mype); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - rinfo = graph->rinfo; - npwgts = graph->gnpwgts; - - /* Setup the weight intervals of the various subdomains */ - cand = (KeyValueType *)GKmalloc(nvtxs*sizeof(KeyValueType), "cand"); - minwgt = fmalloc(nparts*ncon, "minwgt"); - maxwgt = fmalloc(nparts*ncon, "maxwgt"); - - ComputeHKWayLoadImbalance(ncon, nparts, npwgts, ubvec); - for (i=0; i<ncon; i++) - ubvec[i] = amax(ubvec[i], orgubvec[i]); - - for (i=0; i<nparts; i++) { - for (j=0; j<ncon; j++) { - maxwgt[i*ncon+j] = ubvec[j]/(float)nparts; - minwgt[i*ncon+j] = ubvec[j]*(float)nparts; - } - } - - for (pass=0; pass<npasses; pass++) { - oldcut = graph->mincut; - - for (i=0; i<nvtxs; i++) { - cand[i].key = rinfo[i].id-rinfo[i].ed; - cand[i].val = i; - } - ikeysort(nvtxs, cand); - - nmoves = 0; - for (iii=0; iii<nvtxs; iii++) { - i = cand[iii].val; - - myrinfo = rinfo+i; - - if (myrinfo->ed >= myrinfo->id) { - from = where[i]; - myhome = home[i]; - nvwgt = graph->nvwgt+i*ncon; - - if (myrinfo->id > 0 && - AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, -1.0, nvwgt, minwgt+from*ncon)) - continue; - - mydegrees = myrinfo->degrees; - myndegrees = myrinfo->ndegrees; - - for (k=0; k<myndegrees; k++) { - to = mydegrees[k].edge; - gain = mydegrees[k].ewgt - myrinfo->id; - if (gain >= 0 && - (AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon) || - IsHBalanceBetterFT(ncon,npwgts+from*ncon,npwgts+to*ncon,nvwgt,ubvec))) { - break; - } - } - - /* break out if you did not find a candidate */ - if (k == myndegrees) - continue; - - for (j=k+1; j<myndegrees; j++) { - to = mydegrees[j].edge; - going_home = (myhome == to); - gain_is_same = (mydegrees[j].ewgt == mydegrees[k].ewgt); - gain_is_greater = (mydegrees[j].ewgt > mydegrees[k].ewgt); - fit_in_to = AreAllHVwgtsBelow(ncon,1.0,npwgts+to*ncon,1.0,nvwgt,maxwgt+to*ncon); - better_balance_ft = IsHBalanceBetterFT(ncon,npwgts+from*ncon, - npwgts+to*ncon,nvwgt,ubvec); - better_balance_tt = IsHBalanceBetterTT(ncon,npwgts+mydegrees[k].edge*ncon, - npwgts+to*ncon,nvwgt,ubvec); - - if ( - (gain_is_greater && - (fit_in_to || - better_balance_ft) - ) - || - (gain_is_same && - ( - (fit_in_to && - going_home) - || - better_balance_tt - ) - ) - ) { - k = j; - } - } - - to = mydegrees[k].edge; - going_home = (myhome == to); - zero_gain = (mydegrees[k].ewgt == myrinfo->id); - - fit_in_from = AreAllHVwgtsBelow(ncon,1.0,npwgts+from*ncon,0.0,npwgts+from*ncon, - maxwgt+from*ncon); - better_balance_ft = IsHBalanceBetterFT(ncon,npwgts+from*ncon, - npwgts+to*ncon,nvwgt,ubvec); - - if (zero_gain && - !going_home && - !better_balance_ft && - fit_in_from) - continue; - - /*===================================================================== - * If we got here, we can now move the vertex from 'from' to 'to' - *======================================================================*/ - graph->mincut -= mydegrees[k].ewgt-myrinfo->id; - - /* Update where, weight, and ID/ED information of the vertex you moved */ - saxpy2(ncon, 1.0, nvwgt, 1, npwgts+to*ncon, 1); - saxpy2(ncon, -1.0, nvwgt, 1, npwgts+from*ncon, 1); - where[i] = to; - myrinfo->ed += myrinfo->id-mydegrees[k].ewgt; - SWAP(myrinfo->id, mydegrees[k].ewgt, tmp); - - if (mydegrees[k].ewgt == 0) { - myrinfo->ndegrees--; - mydegrees[k].edge = mydegrees[myrinfo->ndegrees].edge; - mydegrees[k].ewgt = mydegrees[myrinfo->ndegrees].ewgt; - } - else - mydegrees[k].edge = from; - - /* Update the degrees of adjacent vertices */ - for (j=xadj[i]; j<xadj[i+1]; j++) { - ii = adjncy[j]; - me = where[ii]; - - myrinfo = rinfo+ii; - mydegrees = myrinfo->degrees; - - if (me == from) { - INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]); - } - else { - if (me == to) { - INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]); - } - } - - /* Remove contribution of the ed from 'from' */ - if (me != from) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (mydegrees[k].edge == from) { - if (mydegrees[k].ewgt == adjwgt[j]) { - myrinfo->ndegrees--; - mydegrees[k].edge = mydegrees[myrinfo->ndegrees].edge; - mydegrees[k].ewgt = mydegrees[myrinfo->ndegrees].ewgt; - } - else - mydegrees[k].ewgt -= adjwgt[j]; - break; - } - } - } - - /* Add contribution of the ed to 'to' */ - if (me != to) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (mydegrees[k].edge == to) { - mydegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - mydegrees[myrinfo->ndegrees].edge = to; - mydegrees[myrinfo->ndegrees++].ewgt = adjwgt[j]; - } - } - - } - nmoves++; - } - } - - if (graph->mincut == oldcut) - break; - } - - GKfree((void **)&minwgt, (void **)&maxwgt, (void **)&cand, LTERM); - - return; -} - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void Moc_ComputeSerialPartitionParams(GraphType *graph, int nparts, - EdgeType *degrees) -{ - int i, j, k; - int nvtxs, nedges, ncon, mincut, me, other; - idxtype *xadj, *adjncy, *adjwgt, *where; - RInfoType *rinfo, *myrinfo; - EdgeType *mydegrees; - float *nvwgt, *npwgts; -int mype; -MPI_Comm_rank(MPI_COMM_WORLD, &mype); - - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - rinfo = graph->rinfo; - - npwgts = sset(ncon*nparts, 0.0, graph->gnpwgts); - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - nedges = mincut = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - saxpy2(ncon, 1.0, nvwgt+i*ncon, 1, npwgts+me*ncon, 1); - - myrinfo = rinfo+i; - myrinfo->id = myrinfo->ed = myrinfo->ndegrees = 0; - myrinfo->degrees = degrees + nedges; - nedges += xadj[i+1]-xadj[i]; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me == where[adjncy[j]]) { - myrinfo->id += adjwgt[j]; - } - else { - myrinfo->ed += adjwgt[j]; - } - } - - mincut += myrinfo->ed; - - /* Time to compute the particular external degrees */ - if (myrinfo->ed > 0) { - mydegrees = myrinfo->degrees; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - other = where[adjncy[j]]; - if (me != other) { - for (k=0; k<myrinfo->ndegrees; k++) { - if (mydegrees[k].edge == other) { - mydegrees[k].ewgt += adjwgt[j]; - break; - } - } - if (k == myrinfo->ndegrees) { - mydegrees[myrinfo->ndegrees].edge = other; - mydegrees[myrinfo->ndegrees++].ewgt = adjwgt[j]; - } - } - } - } - } - - graph->mincut = mincut/2; - - return; -} - - -/************************************************************************* -* This function checks if the vertex weights of two vertices are below -* a given set of values -**************************************************************************/ -int AreAllHVwgtsBelow(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float *limit) -{ - int i; - - for (i=0; i<ncon; i++) - if (alpha*vwgt1[i] + beta*vwgt2[i] > limit[i]) - return 0; - - return 1; -} - - -/************************************************************************* -* This function computes the load imbalance over all the constrains -* For now assume that we just want balanced partitionings -**************************************************************************/ -void ComputeHKWayLoadImbalance(int ncon, int nparts, float *npwgts, float *lbvec) -{ - int i, j; - float max; - - for (i=0; i<ncon; i++) { - max = 0.0; - for (j=0; j<nparts; j++) { - if (npwgts[j*ncon+i] > max) - max = npwgts[j*ncon+i]; - } - - lbvec[i] = max*nparts; - } -} - - -/************************************************************** -* This subroutine remaps a partitioning on a single processor -**************************************************************/ -void SerialRemap(GraphType *graph, int nparts, idxtype *base, idxtype *scratch, - idxtype *remap, float *tpwgts) -{ - int i, ii, j, k; - int nvtxs, nmapped, max_mult; - int from, to, current_from, smallcount, bigcount; - KeyValueType *flowto, *bestflow; - KeyKeyValueType *sortvtx; - idxtype *vsize, *htable, *map, *rowmap; - - nvtxs = graph->nvtxs; - vsize = graph->vsize; - max_mult = amin(MAX_NPARTS_MULTIPLIER, nparts); - - sortvtx = (KeyKeyValueType *)GKmalloc(nvtxs*sizeof(KeyKeyValueType), "sortvtx"); - flowto = (KeyValueType *)GKmalloc((nparts*max_mult+nparts)*sizeof(KeyValueType), "flowto"); - bestflow = flowto+nparts; - map = htable = idxsmalloc(nparts*2, -1, "htable"); - rowmap = map+nparts; - - for (i=0; i<nvtxs; i++) { - sortvtx[i].key1 = base[i]; - sortvtx[i].key2 = vsize[i]; - sortvtx[i].val = i; - } - - qsort((void *)sortvtx, (size_t)nvtxs, (size_t)sizeof(KeyKeyValueType), SSMIncKeyCmp); - - for (j=0; j<nparts; j++) { - flowto[j].key = 0; - flowto[j].val = j; - } - - /* this step has nparts*nparts*log(nparts) computational complexity */ - bigcount = smallcount = current_from = 0; - for (ii=0; ii<nvtxs; ii++) { - i = sortvtx[ii].val; - from = base[i]; - to = scratch[i]; - - if (from > current_from) { - /* reset the hash table */ - for (j=0; j<smallcount; j++) - htable[flowto[j].val] = -1; - ASSERTS(idxsum(nparts, htable) == -nparts); - - ikeysort(smallcount, flowto); - - for (j=0; j<amin(smallcount, max_mult); j++, bigcount++) { - bestflow[bigcount].key = flowto[j].key; - bestflow[bigcount].val = current_from*nparts+flowto[j].val; - } - - smallcount = 0; - current_from = from; - } - - if (htable[to] == -1) { - htable[to] = smallcount; - flowto[smallcount].key = -vsize[i]; - flowto[smallcount].val = to; - smallcount++; - } - else { - flowto[htable[to]].key += -vsize[i]; - } - } - - /* reset the hash table */ - for (j=0; j<smallcount; j++) - htable[flowto[j].val] = -1; - ASSERTS(idxsum(nparts, htable) == -nparts); - - ikeysort(smallcount, flowto); - - for (j=0; j<amin(smallcount, max_mult); j++, bigcount++) { - bestflow[bigcount].key = flowto[j].key; - bestflow[bigcount].val = current_from*nparts+flowto[j].val; - } - ikeysort(bigcount, bestflow); - - ASSERTS(idxsum(nparts, map) == -nparts); - ASSERTS(idxsum(nparts, rowmap) == -nparts); - nmapped = 0; - - /* now make as many assignments as possible */ - for (ii=0; ii<bigcount; ii++) { - i = bestflow[ii].val; - j = i % nparts; /* to */ - k = i / nparts; /* from */ - - if (map[j] == -1 && rowmap[k] == -1 && SimilarTpwgts(tpwgts, graph->ncon, j, k)) { - map[j] = k; - rowmap[k] = j; - nmapped++; - } - - if (nmapped == nparts) - break; - } - - - /* remap the rest */ - /* it may help try remapping to the same label first */ - if (nmapped < nparts) { - for (j=0; j<nparts && nmapped<nparts; j++) { - if (map[j] == -1) { - for (ii=0; ii<nparts; ii++) { - i = (j+ii) % nparts; - if (rowmap[i] == -1 && SimilarTpwgts(tpwgts, graph->ncon, i, j)) { - map[j] = i; - rowmap[i] = j; - nmapped++; - break; - } - } - } - } - } - - /* check to see if remapping fails (due to dis-similar tpwgts) */ - /* if remapping fails, revert to original mapping */ - if (nmapped < nparts) - for (i=0; i<nparts; i++) - map[i] = i; - - for (i=0; i<nvtxs; i++) - remap[i] = map[remap[i]]; - - GKfree((void **)&sortvtx, (void **)&flowto, (void **)&htable, LTERM); -} - - -/************************************************************************* -* This is a comparison function for Serial Remap -**************************************************************************/ -int SSMIncKeyCmp(const void *fptr, const void *sptr) -{ - KeyKeyValueType *first, *second; - - first = (KeyKeyValueType *)(fptr); - second = (KeyKeyValueType *)(sptr); - - if (first->key1 > second->key1) - return 1; - - if (first->key1 < second->key1) - return -1; - - if (first->key2 < second->key2) - return 1; - - if (first->key2 > second->key2) - return -1; - - return 0; -} - - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void Moc_Serial_FM_2WayRefine(GraphType *graph, float *tpwgts, int npasses) -{ - int i, ii, j, k; - int kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, limit, tmp, cnum; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *moved, *swaps, *qnum; - float *nvwgt, *npwgts, mindiff[MAXNCON], origbal, minbal, newbal; - FPQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut, initcut, newcut, mincutorder; - float rtpwgts[MAXNCON*2]; - KeyValueType *cand; -int mype; -MPI_Comm_rank(MPI_COMM_WORLD, &mype); - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->sendind; - ed = graph->recvind; - npwgts = graph->gnpwgts; - bndptr = graph->sendptr; - bndind = graph->recvptr; - - moved = idxmalloc(nvtxs, "moved"); - swaps = idxmalloc(nvtxs, "swaps"); - qnum = idxmalloc(nvtxs, "qnum"); - cand = (KeyValueType *)GKmalloc(nvtxs*sizeof(KeyValueType), "cand"); - - limit = amin(amax(0.01*nvtxs, 25), 150); - - /* Initialize the queues */ - for (i=0; i<ncon; i++) { - FPQueueInit(&parts[i][0], nvtxs); - FPQueueInit(&parts[i][1], nvtxs); - } - for (i=0; i<nvtxs; i++) - qnum[i] = samax(ncon, nvwgt+i*ncon); - - origbal = Serial_Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - for (i=0; i<ncon; i++) { - rtpwgts[i] = origbal*tpwgts[i]; - rtpwgts[ncon+i] = origbal*tpwgts[ncon+i]; - } - - idxset(nvtxs, -1, moved); - for (pass=0; pass<npasses; pass++) { /* Do a number of passes */ - for (i=0; i<ncon; i++) { - FPQueueReset(&parts[i][0]); - FPQueueReset(&parts[i][1]); - } - - mincutorder = -1; - newcut = mincut = initcut = graph->mincut; - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[i]-npwgts[i]); - minbal = Serial_Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - /* Insert boundary nodes in the priority queues */ - nbnd = graph->gnvtxs; - - for (i=0; i<nbnd; i++) { - cand[i].key = id[i]-ed[i]; - cand[i].val = i; - } - ikeysort(nbnd, cand); - - for (ii=0; ii<nbnd; ii++) { - i = bndind[cand[ii].val]; - FPQueueInsert(&parts[qnum[i]][where[i]], i, (float)(ed[i]-id[i])); - } - - for (nswaps=0; nswaps<nvtxs; nswaps++) { - Serial_SelectQueue(ncon, npwgts, rtpwgts, &from, &cnum, parts); - to = (from+1)%2; - - if (from == -1 || (higain = FPQueueGetMax(&parts[cnum][from])) == -1) - break; - - saxpy2(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy2(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - - newcut -= (ed[higain]-id[higain]); - newbal = Serial_Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - if ((newcut < mincut && newbal-origbal <= .00001) || - (newcut == mincut && (newbal < minbal || - (newbal == minbal && Serial_BetterBalance(ncon, npwgts, tpwgts, mindiff))))) { - mincut = newcut; - minbal = newbal; - mincutorder = nswaps; - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[i]-npwgts[i]); - } - else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */ - newcut += (ed[higain]-id[higain]); - saxpy2(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - saxpy2(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - break; - } - - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update its boundary information and queue position */ - if (bndptr[k] != -1) { /* If k was a boundary vertex */ - if (ed[k] == 0) { /* Not a boundary vertex any more */ - BNDDelete(nbnd, bndind, bndptr, k); - if (moved[k] == -1) /* Remove it if in the queues */ - FPQueueDelete(&parts[qnum[k]][where[k]], k); - } - else { /* If it has not been moved, update its position in the queue */ - if (moved[k] == -1) - FPQueueUpdate(&parts[qnum[k]][where[k]], k, (float)oldgain, (float)(ed[k]-id[k])); - } - } - else { - if (ed[k] > 0) { /* It will now become a boundary vertex */ - BNDInsert(nbnd, bndind, bndptr, k); - if (moved[k] == -1) - FPQueueInsert(&parts[qnum[k]][where[k]], k, (float)(ed[k]-id[k])); - } - } - } - } - - /**************************************************************** - * Roll back computations - *****************************************************************/ - for (i=0; i<nswaps; i++) - moved[swaps[i]] = -1; /* reset moved array */ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - to = where[higain] = (where[higain]+1)%2; - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - else if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - saxpy2(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy2(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1); - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - if (bndptr[k] != -1 && ed[k] == 0) - BNDDelete(nbnd, bndind, bndptr, k); - if (bndptr[k] == -1 && ed[k] > 0) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - graph->mincut = mincut; - graph->gnvtxs = nbnd; - - if (mincutorder == -1 || mincut == initcut) - break; - } - - for (i=0; i<ncon; i++) { - FPQueueFree(&parts[i][0]); - FPQueueFree(&parts[i][1]); - } - - GKfree((void **)&cand, (void **)&qnum, (void **)&moved, (void **)&swaps, LTERM); - return; -} - -/************************************************************************* -* This function selects the partition number and the queue from which -* we will move vertices out -**************************************************************************/ -void Serial_SelectQueue(int ncon, float *npwgts, float *tpwgts, int *from, int *cnum, - FPQueueType queues[MAXNCON][2]) -{ - int i, part; - float maxgain=0.0; - float max = -1.0, maxdiff=0.0; -int mype; -MPI_Comm_rank(MPI_COMM_WORLD, &mype); - - *from = -1; - *cnum = -1; - - /* First determine the side and the queue, irrespective of the presence of nodes */ - for (part=0; part<2; part++) { - for (i=0; i<ncon; i++) { - if (npwgts[part*ncon+i]-tpwgts[part*ncon+i] >= maxdiff) { - maxdiff = npwgts[part*ncon+i]-tpwgts[part*ncon+i]; - *from = part; - *cnum = i; - } - } - } - - if (*from != -1 && FPQueueGetQSize(&queues[*cnum][*from]) == 0) { - /* The desired queue is empty, select a node from that side anyway */ - for (i=0; i<ncon; i++) { - if (FPQueueGetQSize(&queues[i][*from]) > 0) { - max = npwgts[(*from)*ncon + i]; - *cnum = i; - break; - } - } - - for (i++; i<ncon; i++) { - if (npwgts[(*from)*ncon + i] > max && FPQueueGetQSize(&queues[i][*from]) > 0) { - max = npwgts[(*from)*ncon + i]; - *cnum = i; - } - } - } - - - /* Check to see if you can focus on the cut */ - if (maxdiff <= 0.0 || *from == -1) { - maxgain = -100000.0; - - for (part=0; part<2; part++) { - for (i=0; i<ncon; i++) { - if (FPQueueGetQSize(&queues[i][part]) > 0 && - FPQueueSeeMaxGain(&queues[i][part]) > maxgain) { - maxgain = FPQueueSeeMaxGain(&queues[i][part]); - *from = part; - *cnum = i; - } - } - } - } - - return; -} - -/************************************************************************* -* This function checks if the balance achieved is better than the diff -* For now, it uses a 2-norm measure -**************************************************************************/ -int Serial_BetterBalance(int ncon, float *npwgts, float *tpwgts, float *diff) -{ - int i; - float ndiff[MAXNCON]; - - for (i=0; i<ncon; i++) - ndiff[i] = fabs(tpwgts[i]-npwgts[i]); - - return snorm2(ncon, ndiff) < snorm2(ncon, diff); -} - - - -/************************************************************************* -* This function computes the load imbalance over all the constrains -**************************************************************************/ -float Serial_Compute2WayHLoadImbalance(int ncon, float *npwgts, float *tpwgts) -{ - int i; - float max=0.0, temp; - - for (i=0; i<ncon; i++) { - if (tpwgts[i] == 0.0) - temp = 0.0; - else - temp = fabs(tpwgts[i]-npwgts[i])/tpwgts[i]; - max = (max < temp ? temp : max); - } - return 1.0+max; -} - - - -/************************************************************************* -* This function performs an edge-based FM refinement -**************************************************************************/ -void Moc_Serial_Balance2Way(GraphType *graph, float *tpwgts, float lbfactor) -{ - int i, ii, j, k, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, limit, tmp, cnum; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *moved, *swaps, *qnum; - float *nvwgt, *npwgts, mindiff[MAXNCON], origbal, minbal, newbal; - FPQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut, newcut, mincutorder; - int qsizes[MAXNCON][2]; - KeyValueType *cand; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->sendind; - ed = graph->recvind; - npwgts = graph->gnpwgts; - bndptr = graph->sendptr; - bndind = graph->recvptr; - - moved = idxmalloc(nvtxs, "moved"); - swaps = idxmalloc(nvtxs, "swaps"); - qnum = idxmalloc(nvtxs, "qnum"); - cand = (KeyValueType *)GKmalloc(nvtxs*sizeof(KeyValueType), "cand"); - - - limit = amin(amax(0.01*nvtxs, 15), 100); - - /* Initialize the queues */ - for (i=0; i<ncon; i++) { - FPQueueInit(&parts[i][0], nvtxs); - FPQueueInit(&parts[i][1], nvtxs); - qsizes[i][0] = qsizes[i][1] = 0; - } - - for (i=0; i<nvtxs; i++) { - qnum[i] = samax(ncon, nvwgt+i*ncon); - qsizes[qnum[i]][where[i]]++; - } - - for (from=0; from<2; from++) { - for (j=0; j<ncon; j++) { - if (qsizes[j][from] == 0) { - for (i=0; i<nvtxs; i++) { - if (where[i] != from) - continue; - - k = samax2(ncon, nvwgt+i*ncon); - if (k == j && - qsizes[qnum[i]][from] > qsizes[j][from] && - nvwgt[i*ncon+qnum[i]] < 1.3*nvwgt[i*ncon+j]) { - qsizes[qnum[i]][from]--; - qsizes[j][from]++; - qnum[i] = j; - } - } - } - } - } - - - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[i]-npwgts[i]); - minbal = origbal = Serial_Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - newcut = mincut = graph->mincut; - mincutorder = -1; - - idxset(nvtxs, -1, moved); - - /* Insert all nodes in the priority queues */ - nbnd = graph->gnvtxs; - for (i=0; i<nvtxs; i++) { - cand[i].key = id[i]-ed[i]; - cand[i].val = i; - } - ikeysort(nvtxs, cand); - - for (ii=0; ii<nvtxs; ii++) { - i = cand[ii].val; - FPQueueInsert(&parts[qnum[i]][where[i]], i, (float)(ed[i]-id[i])); - } - - for (nswaps=0; nswaps<nvtxs; nswaps++) { - if (minbal < lbfactor) - break; - - Serial_SelectQueue(ncon, npwgts, tpwgts, &from, &cnum, parts); - to = (from+1)%2; - - if (from == -1 || (higain = FPQueueGetMax(&parts[cnum][from])) == -1) - break; - - saxpy2(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy2(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - newcut -= (ed[higain]-id[higain]); - newbal = Serial_Compute2WayHLoadImbalance(ncon, npwgts, tpwgts); - - if (newbal < minbal || (newbal == minbal && - (newcut < mincut || (newcut == mincut && - Serial_BetterBalance(ncon, npwgts, tpwgts, mindiff))))) { - mincut = newcut; - minbal = newbal; - mincutorder = nswaps; - for (i=0; i<ncon; i++) - mindiff[i] = fabs(tpwgts[i]-npwgts[i]); - } - else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */ - newcut += (ed[higain]-id[higain]); - saxpy2(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - saxpy2(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - break; - } - - where[higain] = to; - moved[higain] = nswaps; - swaps[nswaps] = higain; - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update the queue position */ - if (moved[k] == -1) - FPQueueUpdate(&parts[qnum[k]][where[k]], k, (float)(oldgain), (float)(ed[k]-id[k])); - - /* Update its boundary information */ - if (ed[k] == 0 && bndptr[k] != -1) - BNDDelete(nbnd, bndind, bndptr, k); - else if (ed[k] > 0 && bndptr[k] == -1) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - - /**************************************************************** - * Roll back computations - *****************************************************************/ - for (nswaps--; nswaps>mincutorder; nswaps--) { - higain = swaps[nswaps]; - - to = where[higain] = (where[higain]+1)%2; - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - else if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - saxpy2(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy2(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1); - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - if (bndptr[k] != -1 && ed[k] == 0) - BNDDelete(nbnd, bndind, bndptr, k); - if (bndptr[k] == -1 && ed[k] > 0) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - graph->mincut = mincut; - graph->gnvtxs = nbnd; - - - for (i=0; i<ncon; i++) { - FPQueueFree(&parts[i][0]); - FPQueueFree(&parts[i][1]); - } - - GKfree((void **)&cand, (void **)&qnum, (void **)&moved, (void **)&swaps, LTERM); - return; -} - -/************************************************************************* -* This function balances two partitions by moving the highest gain -* (including negative gain) vertices to the other domain. -* It is used only when tha unbalance is due to non contigous -* subdomains. That is, the are no boundary vertices. -* It moves vertices from the domain that is overweight to the one that -* is underweight. -**************************************************************************/ -void Moc_Serial_Init2WayBalance(GraphType *graph, float *tpwgts) -{ - int i, ii, j, k; - int kwgt, nvtxs, nbnd, ncon, nswaps, from, to, cnum, tmp; - idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind; - idxtype *qnum; - float *nvwgt, *npwgts; - FPQueueType parts[MAXNCON][2]; - int higain, oldgain, mincut; - KeyValueType *cand; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - nvwgt = graph->nvwgt; - adjwgt = graph->adjwgt; - where = graph->where; - id = graph->sendind; - ed = graph->recvind; - npwgts = graph->gnpwgts; - bndptr = graph->sendptr; - bndind = graph->recvptr; - - qnum = idxmalloc(nvtxs, "qnum"); - cand = (KeyValueType *)GKmalloc(nvtxs*sizeof(KeyValueType), "cand"); - - /* This is called for initial partitioning so we know from where to pick nodes */ - from = 1; - to = (from+1)%2; - - for (i=0; i<ncon; i++) { - FPQueueInit(&parts[i][0], nvtxs); - FPQueueInit(&parts[i][1], nvtxs); - } - - /* Compute the queues in which each vertex will be assigned to */ - for (i=0; i<nvtxs; i++) - qnum[i] = samax(ncon, nvwgt+i*ncon); - - for (i=0; i<nvtxs; i++) { - cand[i].key = id[i]-ed[i]; - cand[i].val = i; - } - ikeysort(nvtxs, cand); - - /* Insert the nodes of the proper partition in the appropriate priority queue */ - for (ii=0; ii<nvtxs; ii++) { - i = cand[ii].val; - if (where[i] == from) { - if (ed[i] > 0) - FPQueueInsert(&parts[qnum[i]][0], i, (float)(ed[i]-id[i])); - else - FPQueueInsert(&parts[qnum[i]][1], i, (float)(ed[i]-id[i])); - } - } - - mincut = graph->mincut; - nbnd = graph->gnvtxs; - for (nswaps=0; nswaps<nvtxs; nswaps++) { - if (Serial_AreAnyVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, nvwgt, tpwgts+from*ncon)) - break; - - if ((cnum = Serial_SelectQueueOneWay(ncon, npwgts, tpwgts, from, parts)) == -1) - break; - - - if ((higain = FPQueueGetMax(&parts[cnum][0])) == -1) - higain = FPQueueGetMax(&parts[cnum][1]); - - mincut -= (ed[higain]-id[higain]); - saxpy2(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1); - saxpy2(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1); - - where[higain] = to; - - /************************************************************** - * Update the id[i]/ed[i] values of the affected nodes - ***************************************************************/ - SWAP(id[higain], ed[higain], tmp); - if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) - BNDDelete(nbnd, bndind, bndptr, higain); - if (ed[higain] > 0 && bndptr[higain] == -1) - BNDInsert(nbnd, bndind, bndptr, higain); - - for (j=xadj[higain]; j<xadj[higain+1]; j++) { - k = adjncy[j]; - oldgain = ed[k]-id[k]; - - kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]); - INC_DEC(id[k], ed[k], kwgt); - - /* Update the queue position */ - if (where[k] == from) { - if (ed[k] > 0 && bndptr[k] == -1) { /* It moves in boundary */ - FPQueueDelete(&parts[qnum[k]][1], k); - FPQueueInsert(&parts[qnum[k]][0], k, (float)(ed[k]-id[k])); - } - else { /* It must be in the boundary already */ - FPQueueUpdate(&parts[qnum[k]][0], k, (float)(oldgain), (float)(ed[k]-id[k])); - } - } - - /* Update its boundary information */ - if (ed[k] == 0 && bndptr[k] != -1) - BNDDelete(nbnd, bndind, bndptr, k); - else if (ed[k] > 0 && bndptr[k] == -1) - BNDInsert(nbnd, bndind, bndptr, k); - } - } - - graph->mincut = mincut; - graph->gnvtxs = nbnd; - - for (i=0; i<ncon; i++) { - FPQueueFree(&parts[i][0]); - FPQueueFree(&parts[i][1]); - } - - GKfree((void **)&cand, (void **)&qnum, LTERM); -} - - -/************************************************************************* -* This function selects the partition number and the queue from which -* we will move vertices out -**************************************************************************/ -int Serial_SelectQueueOneWay(int ncon, float *npwgts, float *tpwgts, int from, - FPQueueType queues[MAXNCON][2]) -{ - int i, cnum=-1; - float max=0.0; - - for (i=0; i<ncon; i++) { - if (npwgts[from*ncon+i]-tpwgts[from*ncon+i] >= max && - FPQueueGetQSize(&queues[i][0]) + FPQueueGetQSize(&queues[i][1]) > 0) { - max = npwgts[from*ncon+i]-tpwgts[i]; - cnum = i; - } - } - - return cnum; -} - - -/************************************************************************* -* This function computes the initial id/ed -**************************************************************************/ -void Moc_Serial_Compute2WayPartitionParams(GraphType *graph) -{ - int i, j, me, nvtxs, ncon, nbnd, mincut; - idxtype *xadj, *adjncy, *adjwgt; - float *nvwgt, *npwgts; - idxtype *id, *ed, *where; - idxtype *bndptr, *bndind; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - - npwgts = sset(2*ncon, 0.0, graph->gnpwgts); - id = idxset(nvtxs, 0, graph->sendind); - ed = idxset(nvtxs, 0, graph->recvind); - bndptr = idxset(nvtxs, -1, graph->sendptr); - bndind = graph->recvptr; - - /*------------------------------------------------------------ - / Compute now the id/ed degrees - /------------------------------------------------------------*/ - nbnd = mincut = 0; - for (i=0; i<nvtxs; i++) { - me = where[i]; - saxpy2(ncon, 1.0, nvwgt+i*ncon, 1, npwgts+me*ncon, 1); - - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (me == where[adjncy[j]]) - id[i] += adjwgt[j]; - else - ed[i] += adjwgt[j]; - } - - if (ed[i] > 0 || xadj[i] == xadj[i+1]) { - mincut += ed[i]; - bndptr[i] = nbnd; - bndind[nbnd++] = i; - } - } - - graph->mincut = mincut/2; - graph->gnvtxs = nbnd; - -} - -/************************************************************************* -* This function checks if the vertex weights of two vertices are below -* a given set of values -**************************************************************************/ -int Serial_AreAnyVwgtsBelow(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float *limit) -{ - int i; - - for (i=0; i<ncon; i++) - if (alpha*vwgt1[i] + beta*vwgt2[i] < limit[i]) - return 1; - - return 0; -} - - -/************************************************************************* -* This function computes the edge-cut of a serial graph. -**************************************************************************/ -int ComputeSerialEdgeCut(GraphType *graph) -{ - int i, j; - int cut = 0; - - for (i=0; i<graph->nvtxs; i++) { - for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) - if (graph->where[i] != graph->where[graph->adjncy[j]]) - cut += graph->adjwgt[j]; - } - graph->mincut = cut/2; - - return graph->mincut; -} - -/************************************************************************* -* This function computes the TotalV of a serial graph. -**************************************************************************/ -int ComputeSerialTotalV(GraphType *graph, idxtype *home) -{ - int i; - int totalv = 0; - - for (i=0; i<graph->nvtxs; i++) - if (graph->where[i] != home[i]) - totalv += (graph->vsize == NULL) ? graph->vwgt[i] : graph->vsize[i]; - - return totalv; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/setup.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/setup.c deleted file mode 100644 index 682a31d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/setup.c +++ /dev/null @@ -1,219 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * setup.c - * - * This file contains functions that setup the various communication - * data structures for parallel KWAY - * - * Started 2/21/96 - * George - * - * $Id: setup.c,v 1.3 2003/07/31 16:23:30 karypis Exp $ - * - */ - - -#include <parmetislib.h> - -#define DEBUG_SETUPINFO_ - - -/************************************************************************* -* This function tests the repeated shmem_put -**************************************************************************/ -void SetUp(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, j, k, islocal, penum, gnvtxs, nvtxs, nlocal, firstvtx, lastvtx, nsend, nrecv, nnbrs, nadj; - int npes=ctrl->npes, mype=ctrl->mype; - idxtype *vtxdist, *xadj, *adjncy; - idxtype *peind, *recvptr, *recvind, *sendptr, *sendind; - idxtype *receive, *pemap, *imap, *lperm; - idxtype *pexadj, *peadjncy, *peadjloc, *startsind; - KeyValueType *recvrequests, *sendrequests, *adjpairs; - - IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm)); - IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->SetupTmr)); - - gnvtxs = graph->gnvtxs; - nvtxs = graph->nvtxs; - vtxdist = graph->vtxdist; - xadj = graph->xadj; - adjncy = graph->adjncy; - - firstvtx = vtxdist[mype]; - lastvtx = vtxdist[mype+1]; - - pemap = wspace->pv1; - idxset(npes, -1, pemap); - - lperm = graph->lperm = idxmalloc(nvtxs, "SetUp: graph->lperm"); - for (i=0; i<nvtxs; i++) - lperm[i] = i; - - /************************************************************* - * Determine what you need to receive - *************************************************************/ - receive = wspace->indices; /* Use the large global received array for now */ - adjpairs = wspace->pairs; - - for (nlocal = nadj = i = 0; i<nvtxs; i++) { - islocal = 1; - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (k >= firstvtx && k < lastvtx) { - adjncy[j] = k-firstvtx; - continue; /* local vertex */ - } - adjpairs[nadj].key = k; - adjpairs[nadj++].val = j; - islocal = 0; - } - if (islocal) { - lperm[i] = lperm[nlocal]; - lperm[nlocal++] = i; - } - } - - /* Take care the received part now */ - ikeysort(nadj, adjpairs); - adjpairs[nadj].key = gnvtxs+1; /* Boundary condition */ - for (nrecv=i=0; i<nadj; i++) { - adjncy[adjpairs[i].val] = nvtxs+nrecv; - if (adjpairs[i].key != adjpairs[i+1].key) - receive[nrecv++] = adjpairs[i].key; - } - - - /* Allocate space for the setup info attached to this level of the graph */ - peind = graph->peind = idxmalloc(npes, "SetUp: peind"); - recvptr = graph->recvptr = idxmalloc(npes+1, "SetUp: recvptr"); - recvind = graph->recvind = idxmalloc(nrecv, "SetUp: recvind"); - - /* Take care of the received portion */ - idxcopy(nrecv, receive, recvind); /* Copy the vertices to be received into recvind */ - - i = nnbrs = recvptr[0] = 0; - for (penum=0; penum<npes; penum++) { - for (j=i; j<nrecv; j++) { - if (recvind[j] >= vtxdist[penum+1]) - break; - } - if (j > i) { - peind[nnbrs] = penum; - recvptr[++nnbrs] = j; - i = j; - } - } - - - /************************************************************* - * Determine what you need to send - *************************************************************/ - /* Tell the other processors what they need to send you */ - recvrequests = wspace->pepairs1; - sendrequests = wspace->pepairs2; - for (i=0; i<npes; i++) - recvrequests[i].key = 0; - for (i=0; i<nnbrs; i++) { - recvrequests[peind[i]].key = recvptr[i+1]-recvptr[i]; - recvrequests[peind[i]].val = nvtxs+recvptr[i]; - } - MPI_Alltoall((void *)recvrequests, 2, IDX_DATATYPE, (void *)sendrequests, 2, IDX_DATATYPE, ctrl->comm); - - - sendptr = graph->sendptr = idxmalloc(npes+1, "SetUp: sendptr"); - startsind = wspace->pv2; - for (j=i=0; i<npes; i++) { - if (sendrequests[i].key > 0) { - sendptr[j] = sendrequests[i].key; - startsind[j] = sendrequests[i].val; - j++; - } - } - ASSERT(ctrl, nnbrs == j); - MAKECSR(i, j, sendptr); - - nsend = sendptr[nnbrs]; - sendind = graph->sendind = idxmalloc(nsend, "SetUp: sendind"); - - - /* Issue the receives for sendind */ - for (i=0; i<nnbrs; i++) { - MPI_Irecv((void *)(sendind+sendptr[i]), sendptr[i+1]-sendptr[i], IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->rreq+i); - } - - /* Issue the sends. My recvind[penum] becomes penum's sendind[mype] */ - for (i=0; i<nnbrs; i++) { - MPI_Isend((void *)(recvind+recvptr[i]), recvptr[i+1]-recvptr[i], IDX_DATATYPE, - peind[i], 1, ctrl->comm, ctrl->sreq+i); - } - - MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); - MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); - - - - /* Create the peadjncy data structure for sparse boundary exchanges */ - pexadj = graph->pexadj = idxsmalloc(nvtxs+1, 0, "SetUp: pexadj"); - peadjncy = graph->peadjncy = idxmalloc(nsend, "SetUp: peadjncy"); - peadjloc = graph->peadjloc = idxmalloc(nsend, "SetUp: peadjloc"); - - for (i=0; i<nsend; i++) { - ASSERTP(ctrl, sendind[i] >= firstvtx && sendind[i] < lastvtx, (ctrl, "%d %d %d\n", sendind[i], firstvtx, lastvtx)); - pexadj[sendind[i]-firstvtx]++; - } - MAKECSR(i, nvtxs, pexadj); - - for (i=0; i<nnbrs; i++) { - for (j=sendptr[i]; j<sendptr[i+1]; j++) { - k = pexadj[sendind[j]-firstvtx]++; - peadjncy[k] = i; /* peind[i] is the actual PE number */ - peadjloc[k] = startsind[i]++; - } - } - ASSERT(ctrl, pexadj[nvtxs] == nsend); - - for (i=nvtxs; i>0; i--) - pexadj[i] = pexadj[i-1]; - pexadj[0] = 0; - - - graph->nnbrs = nnbrs; - graph->nrecv = nrecv; - graph->nsend = nsend; - graph->nlocal = nlocal; - - - /* Create the inverse map from ladjncy to adjncy */ - imap = graph->imap = idxmalloc(nvtxs+nrecv, "SetUp: imap"); - for (i=0; i<nvtxs; i++) - imap[i] = firstvtx+i; - for (i=0; i<nrecv; i++) - imap[nvtxs+i] = recvind[i]; - - - /* Check if wspace->nlarge is large enough for nrecv and nsend */ - if (wspace->nlarge < nrecv+nsend) { - free(wspace->indices); - free(wspace->pairs); - wspace->nlarge = nrecv+nsend; - wspace->indices = idxmalloc(wspace->nlarge, "SetUp: wspace->indices"); - wspace->pairs = (KeyValueType *)GKmalloc(sizeof(KeyValueType)*wspace->nlarge, "SetUp: wspace->pairs"); - } - - IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->SetupTmr)); - -#ifdef DEBUG_SETUPINFO - rprintf(ctrl, "[%5d %5d] \tl:[%5d %5d] \ts:[%5d, %5d] \tr:[%5d, %5d]\n", - GlobalSEMin(ctrl, nvtxs), GlobalSEMax(ctrl, nvtxs), - GlobalSEMin(ctrl, nlocal), GlobalSEMax(ctrl, nlocal), - GlobalSEMin(ctrl, nsend), GlobalSEMax(ctrl, nsend), - GlobalSEMin(ctrl, nrecv), GlobalSEMax(ctrl, nrecv)); - - PrintSetUpInfo(ctrl, graph); -#endif -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/stat.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/stat.c deleted file mode 100644 index 4a32bc8..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/stat.c +++ /dev/null @@ -1,332 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * stat.c - * - * This file computes various statistics - * - * Started 7/25/97 - * George - * - * $Id: stat.c,v 1.3 2003/07/23 00:54:56 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - -/************************************************************************* -* This function computes the balance of the partitioning -**************************************************************************/ -void Moc_ComputeSerialBalance(CtrlType *ctrl, GraphType *graph, idxtype *where, float *ubvec) -{ - int i, j, nvtxs, ncon, nparts; - idxtype *pwgts, *tvwgts, *vwgt; - float *tpwgts, maximb; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - vwgt = graph->vwgt; - nparts = ctrl->nparts; - tpwgts = ctrl->tpwgts; - - pwgts = idxsmalloc(nparts*ncon, 0, "pwgts"); - tvwgts = idxsmalloc(ncon, 0, "tvwgts"); - - for (i=0; i<graph->nvtxs; i++) { - for (j=0; j<ncon; j++) { - pwgts[where[i]*ncon+j] += vwgt[i*ncon+j]; - tvwgts[j] += vwgt[i*ncon+j]; - } - } - - /* The +1 in the following code is to deal with bad cases of tpwgts[i*ncon+j] == 0 */ - for (j=0; j<ncon; j++) { - maximb = 0.0; - for (i=0; i<nparts; i++) - maximb = amax(maximb, (1.0+(float)pwgts[i*ncon+j])/(1.0+(tpwgts[i*ncon+j]*(float)tvwgts[j]))); - ubvec[j] = maximb; - } - - GKfree((void **)&pwgts, (void **)&tvwgts, LTERM); -} - - -/************************************************************************* -* This function computes the balance of the partitioning -**************************************************************************/ -void Moc_ComputeParallelBalance(CtrlType *ctrl, GraphType *graph, idxtype *where, float *ubvec) -{ - int i, j, nvtxs, ncon, nparts; - float *nvwgt, *lnpwgts, *gnpwgts; - float *tpwgts, maximb; - float lminvwgts[MAXNCON], gminvwgts[MAXNCON]; - - ncon = graph->ncon; - nvtxs = graph->nvtxs; - nvwgt = graph->nvwgt; - nparts = ctrl->nparts; - tpwgts = ctrl->tpwgts; - - lnpwgts = fmalloc(nparts*ncon, "CPB: lnpwgts"); - gnpwgts = fmalloc(nparts*ncon, "CPB: gnpwgts"); - sset(nparts*ncon, 0.0, lnpwgts); - sset(ncon, 1.0, lminvwgts); - - for (i=0; i<nvtxs; i++) { - for (j=0; j<ncon; j++) { - lnpwgts[where[i]*ncon+j] += nvwgt[i*ncon+j]; - - /* The following is to deal with tpwgts[] that are 0.0 for certain partitions/constraints */ - lminvwgts[j] = (nvwgt[i*ncon+j] > 0.0 && lminvwgts[j] > nvwgt[i*ncon+j] ? nvwgt[i*ncon+j] : lminvwgts[j]); - } - } - - MPI_Allreduce((void *)(lnpwgts), (void *)(gnpwgts), nparts*ncon, MPI_FLOAT, MPI_SUM, ctrl->comm); - MPI_Allreduce((void *)(lminvwgts), (void *)(gminvwgts), ncon, MPI_FLOAT, MPI_MIN, ctrl->comm); - - /* The +gminvwgts[j] in the following code is to deal with bad cases of tpwgts[i*ncon+j] == 0 */ - for (j=0; j<ncon; j++) { - maximb = 0.0; - for (i=0; i<nparts; i++) - maximb = amax(maximb, (gminvwgts[j]+gnpwgts[i*ncon+j])/(gminvwgts[j]+tpwgts[i*ncon+j])); - ubvec[j] = maximb; - } - - GKfree((void **)&lnpwgts, (void **)&gnpwgts, LTERM); - - return; -} - - -/************************************************************************* -* This function prints a matrix -**************************************************************************/ -void Moc_PrintThrottleMatrix(CtrlType *ctrl, GraphType *graph, float *matrix) -{ - int i, j; - - for (i=0; i<ctrl->npes; i++) { - if (i == ctrl->mype) { - for (j=0; j<ctrl->npes; j++) - printf("%.3f ", matrix[j]); - printf("\n"); - fflush(stdout); - } - MPI_Barrier(ctrl->comm); - } - - if (ctrl->mype == 0) { - printf("****************************\n"); - fflush(stdout); - } - MPI_Barrier(ctrl->comm); - - return; -} - - -/************************************************************************* -* This function computes stats for refinement -**************************************************************************/ -void Moc_ComputeRefineStats(CtrlType *ctrl, GraphType *graph, float *ubvec) -{ - int h, i, j, k; - int nvtxs, ncon; - idxtype *xadj, *adjncy, *adjwgt, *where; - float *nvwgt, *lnpwgts, *gnpwgts; - RInfoType *rinfo; - int mype = ctrl->mype, nparts = ctrl->nparts; - idxtype *gborder, *border, *gfrom, *from, *gto, *to, *connect, *gconnect; - idxtype gain[20] = {0}, ggain[20]; - int lnborders, gnborders; - int bestgain, pmoves, gpmoves, other; - float tpwgts[MAXNCON], badmaxpwgt[MAXNCON]; - int HIST_FACTOR = graph->level + 1; - - nvtxs = graph->nvtxs; - ncon = graph->ncon; - xadj = graph->xadj; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - lnpwgts = graph->lnpwgts; - gnpwgts = graph->gnpwgts; - rinfo = graph->rinfo; - - connect = idxsmalloc(nparts*nparts, 0, "CRS: connect"); - gconnect = idxmalloc(nparts*nparts, "CRS: gconnect"); - border = idxsmalloc(nparts, 0, "CRS: border"); - gborder = idxmalloc(nparts, "CRS: gborder"); - from = idxsmalloc(nparts, 0, "CRS: from"); - gfrom = idxmalloc(nparts, "CRS: gfrom"); - to = idxsmalloc(nparts, 0, "CRS: to"); - gto = idxmalloc(nparts, "CRS: gto"); - - for (h=0; h<ncon; h++) { - tpwgts[h] = ssum_strd(nparts, gnpwgts+h, ncon)/(float)(nparts); - badmaxpwgt[h] = ubvec[h]*tpwgts[h]; - } - - if (mype == 0) printf("******************************\n"); - if (mype == 0) printf("******************************\n"); - - /***************************************/ - if (mype == 0) { - printf("subdomain weights:\n"); - for (h=0; h<ncon; h++) { - for (i=0; i<nparts; i++) - printf("%9.3f ", gnpwgts[i*ncon+h]); - printf("\n"); - } - printf("\n"); - } - - /***************************************/ - if (mype == 0) { - printf("subdomain imbalance:\n"); - for (h=0; h<ncon; h++) { - for (i=0; i<nparts; i++) - printf("%9.3f ", gnpwgts[i*ncon+h] * (float)(nparts)); - printf("\n"); - } - printf("\n"); - } - - /***************************************/ - for (i=0; i<nparts; i++) - connect[i*nparts+i] = -1; - - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (where[i] != where[adjncy[j]]) { - connect[where[i]*nparts+where[adjncy[j]]] = 1; - connect[where[adjncy[j]]*nparts+where[i]] = 1; - } - } - } - - MPI_Reduce((void *)connect, (void *)gconnect, nparts*nparts, IDX_DATATYPE, MPI_MAX, 0, ctrl->comm); - if (mype == 0) { - printf("connectivity\n"); - for (i=0; i<nparts; i++) { - printf("%d: ", i); - for (j=0; j<nparts; j++) - printf("%9d ", gconnect[i*nparts+j]); - printf("\n"); - } - printf("\n"); - } - - /***************************************/ - lnborders = 0; - for (i=0; i<nvtxs; i++) - if (rinfo[i].ndegrees > 0) { - lnborders++; - border[where[i]]++; - } - - MPI_Reduce((void *)border, (void *)gborder, nparts, IDX_DATATYPE, MPI_SUM, 0, ctrl->comm); - gnborders = GlobalSESum(ctrl, lnborders); - if (mype == 0) { - printf("number of borders: %d\n", gnborders); - for (i=0; i<nparts; i++) - printf("%9d ", gborder[i]); - printf("\n\n"); - } - - /***************************************/ - pmoves = 0; - for (i=0; i<nvtxs; i++) { - nvwgt = graph->nvwgt+i*ncon; - - for (j=0; j<rinfo[i].ndegrees; j++) { - other = rinfo[i].degrees[j].edge; - for (h=0; h<ncon; h++) - if (gnpwgts[other*ncon+h]+nvwgt[h] > badmaxpwgt[h]) - break; - - if (h == ncon) - break; - } - - if (j < rinfo[i].ndegrees) { - pmoves++; - from[where[i]]++; - to[other]++; - for (k=j+1; k<rinfo[i].ndegrees; k++) { - other = rinfo[i].degrees[k].edge; - for (h=0; h<ncon; h++) - if (gnpwgts[other*ncon+h]+nvwgt[h] > badmaxpwgt[h]) - break; - - if (h == ncon) { - pmoves++; - from[where[i]]++; - to[other]++; - } - } - } - } - - gpmoves = GlobalSESum(ctrl, pmoves); - MPI_Reduce((void *)from, (void *)gfrom, nparts, IDX_DATATYPE, MPI_SUM, 0, ctrl->comm); - MPI_Reduce((void *)to, (void *)gto, nparts, IDX_DATATYPE, MPI_SUM, 0, ctrl->comm); - - if (mype == 0) { - printf("possible moves: %d\n", gpmoves); - printf("from "); - for (i=0; i<nparts; i++) { - printf("%9d ", gfrom[i]); - } - printf("\n"); - printf("to "); - for (i=0; i<nparts; i++) { - printf("%9d ", gto[i]); - } - printf("\n\n"); - } - - /***************************************/ - for (i=0; i<nvtxs; i++) { - if (rinfo[i].ndegrees > 0) { - bestgain = rinfo[i].degrees[0].ewgt-rinfo[i].id; - for (j=0; j<rinfo[i].ndegrees; j++) - bestgain = amax(bestgain, rinfo[i].degrees[j].ewgt-rinfo[i].id); - - if (bestgain / HIST_FACTOR >= 10) { - gain[19]++; - continue; - } - - if (bestgain / HIST_FACTOR < -10) { - gain[0]++; - continue; - } - - gain[(bestgain/HIST_FACTOR)+10]++; - } - } - - MPI_Reduce((void *)gain, (void *)ggain, 20, IDX_DATATYPE, MPI_SUM, 0, ctrl->comm); - if (mype == 0) { - printf("gain histogram (buckets of %d)\n", HIST_FACTOR); - for (i=0; i<20; i++) { - if (i == 10 || i == 11) - printf(" "); - printf("%d ", ggain[i]); - } - printf("\n\n"); - } - - - - - /***************************************/ - if (mype == 0) printf("******************************\n"); - if (mype == 0) printf("******************************\n"); - - GKfree((void **)&gconnect, (void **)&connect, (void **)&gborder, (void **)&border, (void **)&gfrom, (void **)&from, (void **)>o, (void **)&to, LTERM); - return; -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/stdheaders.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/stdheaders.h deleted file mode 100644 index e30f989..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/stdheaders.h +++ /dev/null @@ -1,25 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * stdheaders.h - * - * This file includes all necessary header files - * - * Started 8/27/94 - * George - * - * $Id: stdheaders.h,v 1.4 2003/07/25 14:31:47 karypis Exp $ - */ - - -#include <stdio.h> -#include <stdlib.h> -#include <malloc.h> -#include <string.h> -#include <ctype.h> -#include <math.h> -#include <stdarg.h> -#include <limits.h> -#include <time.h> -#include <mpi.h> - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/struct.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/struct.h deleted file mode 100644 index 3016c5e..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/struct.h +++ /dev/null @@ -1,290 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * struct.h - * - * This file contains data structures for ILU routines. - * - * Started 9/26/95 - * George - * - * $Id: struct.h,v 1.2 2003/07/21 17:50:22 karypis Exp $ - */ - -/* Indexes are as long as integers for now */ -#ifdef IDXTYPE_INT -#define IDX_DATATYPE MPI_INT -#define MAX_INT INT_MAX -#define MIN_INT INT_MIN -#else -#define IDX_DATATYPE MPI_SHORT -#define MAX_INT SHRT_MAX -#define MIN_INT SHRT_MIN -#endif - - -/************************************************************************* -* The following data structure stores key-value pair -**************************************************************************/ -struct KeyValueType { - idxtype key; - idxtype val; -}; - -typedef struct KeyValueType KeyValueType; - -/************************************************************************* -* The following data structure stores key-value pair -**************************************************************************/ -struct KVType { - int key; - float val; -}; - -typedef struct KVType KVType; - - -/************************************************************************* -* The following data structure stores key-value pair -**************************************************************************/ -struct FKeyValueType { - float key; - idxtype val; -}; - -typedef struct FKeyValueType FKeyValueType; - -/************************************************************************* -* The following data structure stores key-key-value triplets -**************************************************************************/ -struct KeyKeyValueType { - idxtype key1, key2; - idxtype val; -}; - -typedef struct KeyKeyValueType KeyKeyValueType; - -/************************************************************************* -* The following data structure is used to store the buckets for the -* refinment algorithms -**************************************************************************/ -struct PQueueType { - int nnodes; - int maxnnodes; - idxtype *perm, *iperm, *values; - /* iperm[i] stores where the ith entry is located - perm[i] stores the entry that is located in the ith position */ -}; - -typedef struct PQueueType PQueueType; - - -/************************************************************************* -* The following data structure is used to store the buckets for the -* refinment algorithms -**************************************************************************/ -struct FPQueueType { - int type; /* The type of the representation used */ - int nnodes; - int maxnodes; - - /* Heap version of the data structure */ - FKeyValueType *heap; - idxtype *locator; -}; - -typedef struct FPQueueType FPQueueType; - -/************************************************************************* -* The following data structure stores an edge -**************************************************************************/ -struct edgedef { - idxtype edge; - idxtype ewgt; -}; -typedef struct edgedef EdgeType; - - -/************************************************************************* -* This data structure holds various working space data -**************************************************************************/ -struct workspacedef { - idxtype *core; /* Where pairs, indices, and degrees are coming from */ - int maxcore; - - int nlarge; /* The size of 'Large' */ - - KeyValueType *pairs; /* Large pair array used during setup */ - idxtype *indices; /* Large array of indxtype used for various purposes */ - - /* Auxiliary parameters */ - idxtype *pv1, *pv2, *pv3, *pv4; /* Vectors of npes+1 size used in various places */ - KeyValueType *pepairs1, *pepairs2; - - EdgeType *degrees; -}; - -typedef struct workspacedef WorkSpaceType; - - -/************************************************************************* -* The following data structure holds information on degrees for k-way -* partition -**************************************************************************/ -struct rinfodef { - int id, ed; /* ID/ED of edges */ - int ndegrees; /* The number of different ext-degrees */ - EdgeType *degrees; /* List of edges */ -}; - -typedef struct rinfodef RInfoType; - - -/************************************************************************* -* The following data structure holds information on degrees for k-way -* partition -**************************************************************************/ -struct nrinfodef { - int edegrees[2]; -}; - -typedef struct nrinfodef NRInfoType; - - -/************************************************************************* -* The following data structure stores a sparse matrix in CSR format -* The diagonal entry is in the first position of each row. -**************************************************************************/ -struct matrixdef { - int nrows, nnzs; /* Number of rows and nonzeros in the matrix */ - idxtype *rowptr; - idxtype *colind; - float *values; - float *transfer; -}; - -typedef struct matrixdef MatrixType; - - -/************************************************************************* -* This data structure holds the input graph -**************************************************************************/ -struct graphdef { - int gnvtxs, nvtxs, nedges, ncon, nobj; - idxtype *xadj; /* Pointers to the locally stored vertices */ - idxtype *vwgt; /* Vertex weights */ - float *nvwgt; /* Vertex weights */ - idxtype *vsize; /* Vertex size */ - idxtype *adjncy; /* Array that stores the adjacency lists of nvtxs */ - idxtype *adjwgt; /* Array that stores the weights of the adjacency lists */ - idxtype *vtxdist; /* Distribution of vertices */ - - idxtype *match; - idxtype *cmap; - - idxtype *label; - - /* Communication/Setup parameters */ - int nnbrs, nrecv, nsend; /* The number of neighboring processors */ - idxtype *peind; /* Array of size nnbrs storing the neighboring PEs */ - idxtype *sendptr, *sendind; /* CSR format of the vertices that are sent */ - idxtype *recvptr, *recvind; /* CSR format of the vertices that are received */ - idxtype *imap; /* The inverse map of local to global indices */ - idxtype *pexadj, *peadjncy, - *peadjloc; /* CSR format of the PEs each vertex is adjancent to */ - - int nlocal; /* Number of interior vertices */ - idxtype *lperm; /* lperm[0:nlocal] points to interior vertices, the rest are interface */ - - /* Communication parameters for projecting the partition. - * These are computed during CreateCoarseGraph and used during projection - * Note that during projection, the meaning of received and sent is reversed! */ - idxtype *rlens, *slens; /* Arrays of size nnbrs of how many vertices you are sending and receiving */ - KeyValueType *rcand; - - - /* Partition parameters */ - idxtype *where, *home; - idxtype *lpwgts, *gpwgts; - float *lnpwgts, *gnpwgts; - RInfoType *rinfo; - - /* Node refinement information */ - NRInfoType *nrinfo; - int nsep; /* The number of vertices in the separator */ - idxtype *sepind; /* The indices of the vertices in the separator */ - - int lmincut, mincut; - - int level; - int match_type; - int edgewgt_type; - - struct graphdef *coarser, *finer; -}; - -typedef struct graphdef GraphType; - - -/************************************************************************* -* The following data type implements a timer -**************************************************************************/ -typedef double timer; - - -/************************************************************************* -* The following structure stores information used by parallel kmetis -**************************************************************************/ -struct controldef { - int mype, npes; /* Info about the parallel system */ - int CoarsenTo; /* The # of vertices in the coarsest graph */ - int dbglvl; /* Controls the debuging output of the program */ - int nparts; /* The number of partitions */ - int foldf; /* What is the folding factor */ - int ipart; /* The type of initial partitioning */ - int xyztype; /* The type of coordinate indexing */ - int seed; /* Random number seed */ - int sync; /* Random number seed */ - float *tpwgts; /* Target subdomain weights */ - int tvwgts[MAXNCON]; - float ubvec[MAXNCON]; - int partType; - int ps_relation; - - float redist_factor, redist_base, ipc_factor; - float edge_size_ratio; - MatrixType *matrix; - - MPI_Comm gcomm; - MPI_Comm comm; /* MPI Communicator */ - MPI_Request sreq[MAX_PES], - rreq[MAX_PES]; /* MPI send and receive requests */ - MPI_Status statuses[MAX_PES]; - MPI_Status status; - - /* Various Timers */ - timer TotalTmr, InitPartTmr, MatchTmr, ContractTmr, CoarsenTmr, RefTmr, - SetupTmr, ColorTmr, ProjectTmr, KWayInitTmr, KWayTmr, MoveTmr, - RemapTmr, AuxTmr1, AuxTmr2, AuxTmr3, AuxTmr4, AuxTmr5, AuxTmr6; -}; - -typedef struct controldef CtrlType; - - - -/************************************************************************* -* The following data structure stores a mesh. -**************************************************************************/ -struct meshdef { - int etype; - int gnelms, gnns; - int nelms, nns; - int ncon; - int esize, gminnode; - idxtype *elmdist; - idxtype *elements; - idxtype *elmwgt; -}; - -typedef struct meshdef MeshType; - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/sync b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/sync deleted file mode 100644 index 11a0cfb..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/sync +++ /dev/null @@ -1,186 +0,0 @@ -adrivers.c: ubavg = savg(graph->ncon, ctrl->ubvec); -adrivers.c: ctrl->redist_factor = ctrl->redist_base * ((gtewgt/gtvsize)/ ctrl->edge_size_ratio); -adrivers.c: IFSET(ctrl->dbglvl, DBG_PROGRESS, rprintf(ctrl, "[%6d %8d %5d %5d][%d]\n", -adrivers.c: graph->gnvtxs, GlobalSESum(ctrl, graph->nedges), GlobalSEMin(ctrl, graph->nvtxs), GlobalSEMax(ctrl, graph->nvtxs), ctrl->CoarsenTo)); -adrivers.c: if (graph->gnvtxs < 1.3*ctrl->CoarsenTo || -adrivers.c: if (lbavg > ubavg + 0.035 && ctrl->partType != REFINE_PARTITION) -adrivers.c: if (ctrl->dbglvl&DBG_PROGRESS) { -adrivers.c: switch (ctrl->ps_relation) { -adrivers.c: if (ctrl->dbglvl&DBG_PROGRESS) { -akwayfm.c: int npes = ctrl->npes, mype = ctrl->mype, nparts = ctrl->nparts; -akwayfm.c: IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->KWayTmr)); -akwayfm.c: ubvec = ctrl->ubvec; -akwayfm.c: tpwgts = ctrl->tpwgts; -akwayfm.c: ipc_factor = ctrl->ipc_factor; -akwayfm.c: redist_factor = ctrl->redist_factor; -akwayfm.c: MPI_Bcast((void *)pperm, nparts, IDX_DATATYPE, 0, ctrl->comm); -akwayfm.c: switch (ctrl->ps_relation) { -akwayfm.c: switch (ctrl->ps_relation) { -akwayfm.c: MPI_Allreduce((void *)lnpwgts, (void *)pgnpwgts, nparts*ncon, MPI_FLOAT, MPI_SUM, ctrl->comm); -akwayfm.c: IFSET(ctrl->dbglvl, DBG_RMOVEINFO, rprintf(ctrl, "\t[%d %d], [%.4f], [%d %d %d]\n", -akwayfm.c: MPI_Irecv((void *)(rupdate+sendptr[i]), sendptr[i+1]-sendptr[i], IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->rreq+i); -akwayfm.c: MPI_Isend((void *)(supdate+j), k-j, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); -akwayfm.c: MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); -akwayfm.c: MPI_Get_count(ctrl->statuses+i, IDX_DATATYPE, nupds_pe+i); -akwayfm.c: MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); -akwayfm.c: MPI_Allreduce((void *)lnpwgts, (void *)gnpwgts, nparts*ncon, MPI_FLOAT, MPI_SUM, ctrl->comm); -akwayfm.c: IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->KWayTmr)); -balancemylink.c: ipc_factor = ctrl->ipc_factor; -balancemylink.c: redist_factor = ctrl->redist_factor; -coarsen.c: int npes=ctrl->npes, mype=ctrl->mype; -coarsen.c: MPI_Allgather((void *)(cvtxdist+npes), 1, IDX_DATATYPE, (void *)cvtxdist, 1, IDX_DATATYPE, ctrl->comm); -coarsen.c: MPI_Irecv((void *)(rsizes+i), 1, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->rreq+i); -coarsen.c: MPI_Isend((void *)(ssizes+i), 1, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); -coarsen.c: MPI_Wait(ctrl->rreq+i, &ctrl->status); -coarsen.c: MPI_Wait(ctrl->sreq+i, &ctrl->status); -coarsen.c: MPI_Irecv((void *)(rgraph+l), (4+ncon)*(rlens[i+1]-rlens[i])+2*rsizes[i], IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->rreq+i); -coarsen.c: sgraph[ll++] = (ctrl->partType == STATIC_PARTITION) ? -1 : vsize[ii]; -coarsen.c: sgraph[ll++] = (ctrl->partType == STATIC_PARTITION) ? -1 : home[ii]; -coarsen.c: MPI_Isend((void *)(sgraph+l), ll-l, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); -coarsen.c: MPI_Wait(ctrl->rreq+i, &ctrl->status); -coarsen.c: MPI_Wait(ctrl->sreq+i, &ctrl->status); -coarsen.c: if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { -coarsen.c: if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { -coarsen.c: if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { -coarsen.c: if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) { -coarsen.c: cgraph->nvwgt[j*ncon+h] = (float)(cvwgt[j*ncon+h])/(float)(ctrl->tvwgts[h]); -comm.c: firstvtx = graph->vtxdist[ctrl->mype]; -comm.c: peind[i], 1, ctrl->comm, ctrl->rreq+i); -comm.c: peind[i], 1, ctrl->comm, ctrl->sreq+i); -comm.c: MPI_Waitall(nnbrs, ctrl->rreq, ctrl->statuses); -comm.c: MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); -comm.c: firstvtx = graph->vtxdist[ctrl->mype]; -comm.c: peind[i], 1, ctrl->comm, ctrl->rreq+i); -comm.c: idxcopy(ctrl->npes, sendptr, psendptr); -comm.c: peind[i], 1, ctrl->comm, ctrl->sreq+i); -comm.c: MPI_Isend((void *)(sendpairs), 0, IDX_DATATYPE, peind[i], 1, ctrl->comm, ctrl->sreq+i); -comm.c: MPI_Wait(ctrl->rreq+i, &(ctrl->status)); -comm.c: MPI_Get_count(&ctrl->status, IDX_DATATYPE, &n); -comm.c: MPI_Waitall(nnbrs, ctrl->sreq, ctrl->statuses); -comm.c: MPI_Allreduce((void *)&value, (void *)&max, 1, MPI_INT, MPI_MAX, ctrl->comm); -comm.c: MPI_Allreduce((void *)&value, (void *)&max, 1, MPI_DOUBLE, MPI_MAX, ctrl->comm); -comm.c: MPI_Allreduce((void *)&value, (void *)&min, 1, MPI_INT, MPI_MIN, ctrl->comm); -comm.c: MPI_Allreduce((void *)&value, (void *)&sum, 1, MPI_INT, MPI_SUM, ctrl->comm); -comm.c: MPI_Allreduce((void *)&value, (void *)&max, 1, MPI_FLOAT, MPI_MAX, ctrl->comm); -comm.c: MPI_Allreduce((void *)&value, (void *)&min, 1, MPI_FLOAT, MPI_MIN, ctrl->comm); -comm.c: MPI_Allreduce((void *)&value, (void *)&sum, 1, MPI_FLOAT, MPI_SUM, ctrl->comm); -debug.c: for (penum=0; penum<ctrl->npes; penum++) { -debug.c: if (ctrl->mype == penum) { -debug.c: if (ctrl->mype == 0) -debug.c: printf("\t%3d. ", ctrl->mype); -debug.c: MPI_Barrier(ctrl->comm); -debug.c: for (penum=0; penum<ctrl->npes; penum++) { -debug.c: if (ctrl->mype == penum) { -debug.c: if (ctrl->mype == 0) -debug.c: printf("\t%3d. ", ctrl->mype); -debug.c: MPI_Barrier(ctrl->comm); -debug.c: for (penum=0; penum<ctrl->npes; penum++) { -debug.c: if (ctrl->mype == penum) { -debug.c: if (ctrl->mype == 0) -debug.c: printf("\t%3d. ", ctrl->mype); -debug.c: MPI_Barrier(ctrl->comm); -debug.c: MPI_Barrier(ctrl->comm); -debug.c: firstvtx = graph->vtxdist[ctrl->mype]; -debug.c: for (penum=0; penum<ctrl->npes; penum++) { -debug.c: if (ctrl->mype == penum) { -debug.c: MPI_Barrier(ctrl->comm); -debug.c: MPI_Barrier(ctrl->comm); -debug.c: firstvtx = graph->vtxdist[ctrl->mype]; -debug.c: for (penum=0; penum<ctrl->npes; penum++) { -debug.c: if (ctrl->mype == penum) { -debug.c: MPI_Barrier(ctrl->comm); -debug.c: MPI_Barrier(ctrl->comm); -debug.c: for (penum=0; penum<ctrl->npes; penum++) { -debug.c: if (ctrl->mype == penum) { -debug.c: printf("PE: %d, nnbrs: %d\n", ctrl->mype, graph->nnbrs); -debug.c: MPI_Barrier(ctrl->comm); -debug.c: MPI_Barrier(ctrl->comm); -debug.c: for (penum=0; penum<ctrl->npes; penum++) { -debug.c: if (ctrl->mype == penum) { -debug.c: printf("PE: %d, nnbrs: %d", ctrl->mype, nnbrs); -debug.c: MPI_Barrier(ctrl->comm); -diffutil.c: nparts = ctrl->nparts; -diffutil.c: myhome = (ctrl->ps_relation == COUPLED) ? ctrl->mype : graph->home[i]; -diffutil.c: /* PrintVector(ctrl, ctrl->npes, 0, lend, "Lend: "); */ -diffutil.c: MPI_Allreduce((void *)lstart, (void *)gstart, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); -diffutil.c: MPI_Allreduce((void *)lleft, (void *)gleft, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); -diffutil.c: MPI_Allreduce((void *)lend, (void *)gend, nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); -grsetup.c: graph->gnvtxs = vtxdist[ctrl->npes]; -grsetup.c: graph->nvtxs = vtxdist[ctrl->mype+1]-vtxdist[ctrl->mype]; -grsetup.c: ctrl->tvwgts[j] = GlobalSESum(ctrl, ltvwgts[j]); -grsetup.c: if (ctrl->tvwgts[i] == 0) { -grsetup.c: graph->nvwgt[i*ncon+j] = (float)(graph->vwgt[i*ncon+j]) / (float)(ctrl->tvwgts[j]); -grsetup.c: srand(ctrl->seed); -grsetup.c: MPI_Comm_dup(comm, &(ctrl->gcomm)); -grsetup.c: MPI_Comm_rank(ctrl->gcomm, &ctrl->mype); -grsetup.c: MPI_Comm_size(ctrl->gcomm, &ctrl->npes); -grsetup.c: ctrl->dbglvl = dbglvl; -grsetup.c: ctrl->nparts = nparts; /* Set the # of partitions is de-coupled from the # of domains */ -grsetup.c: ctrl->comm = ctrl->gcomm; -grsetup.c: ctrl->xyztype = XYZ_SPFILL; -grsetup.c: srand(ctrl->mype); -grsetup.c: lpvtxs = idxsmalloc(ctrl->nparts, 0, "ComputeMoveStatistics: lpvtxs"); -grsetup.c: gpvtxs = idxsmalloc(ctrl->nparts, 0, "ComputeMoveStatistics: gpvtxs"); -grsetup.c: if (where[i] != ctrl->mype) -grsetup.c: /* PrintVector(ctrl, ctrl->npes, 0, lpvtxs, "Lpvtxs: "); */ -grsetup.c: MPI_Allreduce((void *)lpvtxs, (void *)gpvtxs, ctrl->nparts, IDX_DATATYPE, MPI_SUM, ctrl->comm); -grsetup.c: *maxin = GlobalSEMax(ctrl, gpvtxs[ctrl->mype]-(nvtxs-j)); -initbalance.c: IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr)); -initbalance.c: mytpwgts = fsmalloc(ctrl->nparts, 0.0, "mytpwgts"); -initbalance.c: for (i=0; i<ctrl->nparts; i++) -initbalance.c: mytpwgts[i] += ctrl->tpwgts[i*ncon+j]; -initbalance.c: for (i=0; i<ctrl->nparts; i++) -initbalance.c: if (ctrl->ps_relation == DISCOUPLED) { -initbalance.c: rcounts = imalloc(ctrl->npes, "rcounts"); -initbalance.c: rdispls = imalloc(ctrl->npes+1, "rdispls"); -initbalance.c: for (i=0; i<ctrl->npes; i++) { -initbalance.c: MAKECSR(i, ctrl->npes, rdispls); -initbalance.c: (void *)part, rcounts, rdispls, IDX_DATATYPE, ctrl->comm); -initbalance.c: for (i=0; i<ctrl->npes; i++) -initbalance.c: if (part[i] >= ctrl->nparts) -initbalance.c: part[i] = home[i] = part[i] % ctrl->nparts; -initbalance.c: part[i] = home[i] = (-1*part[i]) % ctrl->nparts; -initbalance.c: IFSET(ctrl->dbglvl, DBG_REFINEINFO, Moc_ComputeSerialBalance(ctrl, agraph, agraph->where, lbvec)); -initbalance.c: IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "input cut: %d, balance: ", ComputeSerialEdgeCut(agraph))); -initbalance.c: IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "%.3f ", lbvec[i])); -initbalance.c: IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "\n")); -initbalance.c: sr = (ctrl->mype % 2 == 0) ? 1 : 0; -initbalance.c: gd = (ctrl->mype % 2 == 1) ? 1 : 0; -initbalance.c: if (graph->ncon > MAX_NCON_FOR_DIFFUSION || ctrl->npes == 1) { -initbalance.c: MPI_Comm_split(ctrl->gcomm, sr, 0, &ipcomm); -initbalance.c: myctrl.sync = ctrl->sync; -initbalance.c: myctrl.seed = ctrl->seed; -initbalance.c: myctrl.nparts = ctrl->nparts; -initbalance.c: myctrl.ipc_factor = ctrl->ipc_factor; -initbalance.c: myctrl.redist_factor = ctrl->redist_base; -initbalance.c: myctrl.tpwgts = ctrl->tpwgts; -initbalance.c: icopy(ncon, ctrl->tvwgts, myctrl.tvwgts); -initbalance.c: icopy(ncon, ctrl->ubvec, myctrl.ubvec); -initbalance.c: moptions[7] = ctrl->sync + (mype % ngroups) + 1; -initbalance.c: lnparts = ctrl->nparts; -initbalance.c: lpecost.rank = ctrl->mype; -initbalance.c: if (ctrl->mype == gpecost.rank && ctrl->mype != sr_pe) { -initbalance.c: MPI_Send((void *)part, nvtxs, IDX_DATATYPE, sr_pe, 1, ctrl->comm); -initbalance.c: if (ctrl->mype != gpecost.rank && ctrl->mype == sr_pe) { -initbalance.c: MPI_Recv((void *)part, nvtxs, IDX_DATATYPE, gpecost.rank, 1, ctrl->comm, &status); -initbalance.c: if (ctrl->mype == sr_pe) { -initbalance.c: SerialRemap(&cgraph, ctrl->nparts, home, lwhere, part, ctrl->tpwgts); -initbalance.c: lpecost.rank = ctrl->mype; -initbalance.c: if (ctrl->mype == gpecost.rank && ctrl->mype != gd_pe) -initbalance.c: MPI_Send((void *)part, nvtxs, IDX_DATATYPE, gd_pe, 1, ctrl->comm); -initbalance.c: if (ctrl->mype != gpecost.rank && ctrl->mype == gd_pe) -initbalance.c: MPI_Recv((void *)part, nvtxs, IDX_DATATYPE, gpecost.rank, 1, ctrl->comm, &status); -initbalance.c: if (ctrl->mype == gd_pe) { -initbalance.c: SerialRemap(&cgraph, ctrl->nparts, home, lwhere, part, ctrl->tpwgts); -initbalance.c: if (ctrl->mype == sr_pe || ctrl->mype == gd_pe) { -initbalance.c: my_cost = ctrl->ipc_factor * my_cut + REDIST_WGT * ctrl->redist_base * my_totalv; -initbalance.c: IFSET(ctrl->dbglvl, DBG_REFINEINFO, printf("%s initial cut: %.1f, totalv: %.1f, balance: %.3f\n", -initbalance.c: (ctrl->mype == sr_pe ? "scratch-remap" : "diffusion"), my_cut, my_totalv, my_balance)); -initbalance.c: if (ctrl->mype == gd_pe) { -initbalance.c: MPI_Send((void *)buffer, 2, MPI_FLOAT, sr_pe, 1, ctrl->comm); -initbalance.c: MPI_Recv((void *)buffer, 2, MPI_FLOAT, gd_pe, 1, ctrl->comm, &status); -initbalance.c: if (ctrl->mype == sr_pe) { -initbalance.c: MPI_Bcast((void *)&who_wins, 1, MPI_INT, sr_pe, ctrl->comm); -initbalance.c: MPI_Bcast((void *)part, nvtxs, IDX_DATATYPE, who_wins, ctrl->comm); -initbalance.c: idxcopy(graph->nvtxs, part+vtxdist[ctrl->mype], graph->where); -initbalance.c: IFSET(ctrl->dbglvl, DBG_TIME, stoptim
\ No newline at end of file diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/timer.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/timer.c deleted file mode 100644 index 73cc11a..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/timer.c +++ /dev/null @@ -1,90 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * timer.c - * - * This file contain various timing routines - * - * Started 10/19/96 - * George - * - * $Id: timer.c,v 1.2 2003/07/21 17:18:54 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - - -/************************************************************************* -* This function initializes the various timers -**************************************************************************/ -void InitTimers(CtrlType *ctrl) -{ - cleartimer(ctrl->TotalTmr); - cleartimer(ctrl->InitPartTmr); - cleartimer(ctrl->MatchTmr); - cleartimer(ctrl->ContractTmr); - cleartimer(ctrl->CoarsenTmr); - cleartimer(ctrl->RefTmr); - cleartimer(ctrl->SetupTmr); - cleartimer(ctrl->ProjectTmr); - cleartimer(ctrl->KWayInitTmr); - cleartimer(ctrl->KWayTmr); - cleartimer(ctrl->MoveTmr); - cleartimer(ctrl->RemapTmr); - - cleartimer(ctrl->AuxTmr1); - cleartimer(ctrl->AuxTmr2); - cleartimer(ctrl->AuxTmr3); - cleartimer(ctrl->AuxTmr4); - cleartimer(ctrl->AuxTmr5); - cleartimer(ctrl->AuxTmr6); -} - - -/************************************************************************* -* This function prints timing information about KMETIS -**************************************************************************/ -void PrintTimingInfo(CtrlType *ctrl) -{ -/* PrintTimer(ctrl, ctrl->CoarsenTmr, " Coarsening"); */ - PrintTimer(ctrl, ctrl->SetupTmr, " Setup"); - PrintTimer(ctrl, ctrl->MatchTmr, " Matching"); - PrintTimer(ctrl, ctrl->ContractTmr, "Contraction"); - PrintTimer(ctrl, ctrl->InitPartTmr, " InitPart"); -/* PrintTimer(ctrl, ctrl->RefTmr, " Refinement"); */ - PrintTimer(ctrl, ctrl->ProjectTmr, " Project"); - PrintTimer(ctrl, ctrl->KWayInitTmr, " Initialize"); - PrintTimer(ctrl, ctrl->KWayTmr, " K-way"); - PrintTimer(ctrl, ctrl->MoveTmr, " Move"); - PrintTimer(ctrl, ctrl->RemapTmr, " Remap"); - PrintTimer(ctrl, ctrl->TotalTmr, " Total"); - PrintTimer(ctrl, ctrl->AuxTmr1, " Aux1"); - PrintTimer(ctrl, ctrl->AuxTmr2, " Aux2"); - PrintTimer(ctrl, ctrl->AuxTmr3, " Aux3"); - PrintTimer(ctrl, ctrl->AuxTmr4, " Aux4"); - PrintTimer(ctrl, ctrl->AuxTmr5, " Aux5"); - PrintTimer(ctrl, ctrl->AuxTmr6, " Aux6"); -} - - -/************************************************************************* -* This function prints timer stat -**************************************************************************/ -void PrintTimer(CtrlType *ctrl, timer tmr, char *msg) -{ - double sum, max, tsec; - - tsec = gettimer(tmr); - MPI_Reduce((void *)&tsec, (void *)&sum, 1, MPI_DOUBLE, MPI_SUM, 0, ctrl->comm); - - tsec = gettimer(tmr); - MPI_Reduce((void *)&tsec, (void *)&max, 1, MPI_DOUBLE, MPI_MAX, 0, ctrl->comm); - - if (ctrl->mype == 0 && sum != 0.0) - printf("%s: Max: %7.3f, Sum: %7.3f, Balance: %7.3f\n", - msg, (float)max, (float)sum, (float)(max*ctrl->npes/sum)); -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/util.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/util.c deleted file mode 100644 index 34c657d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/util.c +++ /dev/null @@ -1,983 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * util.c - * - * This function contains various utility routines - * - * Started 9/28/95 - * George - * - * $Id: util.c,v 1.2 2003/07/21 17:18:54 karypis Exp $ - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function prints an error message and exits -**************************************************************************/ -void errexit(char *f_str,...) -{ - va_list argp; - char out1[256], out2[256]; - - va_start(argp, f_str); - vsprintf(out1, f_str, argp); - va_end(argp); - - sprintf(out2, "Error! %s", out1); - - fprintf(stdout, out2); - fflush(stdout); - - abort(); -} - - -/************************************************************************* -* This function prints an error message and exits -**************************************************************************/ -void myprintf(CtrlType *ctrl, char *f_str,...) -{ - va_list argp; - char out1[256], out2[256]; - - va_start(argp, f_str); - vsprintf(out1, f_str, argp); - va_end(argp); - - sprintf(out2, "[%2d] %s", ctrl->mype, out1); - - fprintf(stdout, out2); - fflush(stdout); - -} - - - -/************************************************************************* -* This function prints an error message and exits -**************************************************************************/ -void rprintf(CtrlType *ctrl, char *f_str,...) -{ - va_list argp; - - if (ctrl->mype == 0) { - va_start(argp, f_str); - vfprintf(stdout, f_str, argp); - va_end(argp); - } - - fflush(stdout); - - MPI_Barrier(ctrl->comm); - -} - - -#ifndef DMALLOC -/************************************************************************* -* The following function allocates an array of integers -**************************************************************************/ -int *imalloc(int n, char *msg) -{ - if (n == 0) - return NULL; - - return (int *)GKmalloc(sizeof(int)*n, msg); -} - - -/************************************************************************* -* The following function allocates an array of integers -**************************************************************************/ -idxtype *idxmalloc(int n, char *msg) -{ - if (n == 0) - return NULL; - - return (idxtype *)GKmalloc(sizeof(idxtype)*n, msg); -} - - -/************************************************************************* -* The following function allocates an array of float -**************************************************************************/ -float *fmalloc(int n, char *msg) -{ - if (n == 0) - return NULL; - - return (float *)GKmalloc(sizeof(float)*n, msg); -} - - -/************************************************************************* -* The follwoing function allocates an array of integers -**************************************************************************/ -int *ismalloc(int n, int ival, char *msg) -{ - if (n == 0) - return NULL; - - return iset(n, ival, (int *)GKmalloc(sizeof(int)*n, msg)); -} - - - -/************************************************************************* -* The follwoing function allocates an array of integers -**************************************************************************/ -idxtype *idxsmalloc(int n, idxtype ival, char *msg) -{ - if (n == 0) - return NULL; - - return idxset(n, ival, (idxtype *)GKmalloc(sizeof(idxtype)*n, msg)); -} - - -/************************************************************************* -* This function is my wrapper around malloc -**************************************************************************/ -void *GKmalloc(int nbytes, char *msg) -{ - void *ptr; - - if (nbytes == 0) - return NULL; - - ptr = (void *)malloc(nbytes); - if (ptr == NULL) - errexit("***Memory allocation failed for %s. Requested size: %d bytes", msg, nbytes); - - return ptr; -} -#endif - -/************************************************************************* -* This function is my wrapper around free, allows multiple pointers -**************************************************************************/ -void GKfree(void **ptr1,...) -{ - va_list plist; - void **ptr; - - if (*ptr1 != NULL) - free(*ptr1); - *ptr1 = NULL; - - va_start(plist, ptr1); - - while ((ptr = va_arg(plist, void **)) != LTERM) { - if (*ptr != NULL) - free(*ptr); - *ptr = NULL; - } - - va_end(plist); -} - - -/************************************************************************* -* These functions set the values of a vector -**************************************************************************/ -int *iset(int n, int val, int *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] = val; - - return x; -} - - -/************************************************************************* -* These functions set the values of a vector -**************************************************************************/ -idxtype *idxset(int n, idxtype val, idxtype *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] = val; - - return x; -} - - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int idxamax(int n, idxtype *x) -{ - int i, max=0; - - for (i=1; i<n; i++) - max = (x[i] > x[max] ? i : max); - - return max; -} - - -/************************************************************************* -* These functions return the index of the minimum element in a vector -**************************************************************************/ -int idxamin(int n, idxtype *x) -{ - int i, min=0; - - for (i=1; i<n; i++) - min = (x[i] < x[min] ? i : min); - - return min; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -int idxsum(int n, idxtype *x) -{ - int i, sum = 0; - - for (i=0; i<n; i++) - sum += x[i]; - - return sum; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -int charsum(int n, char *x) -{ - int i, sum = 0; - - for (i=0; i<n; i++) - sum += x[i]; - - return sum; -} - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -int isum(int n, int *x) -{ - int i, sum = 0; - - for (i=0; i<n; i++) - sum += x[i]; - - return sum; -} - - -/************************************************************************* -* This function computes a 2-norm -**************************************************************************/ -float snorm2(int n, float *v) -{ - int i; - float partial = 0; - - for (i = 0; i<n; i++) - partial += v[i] * v[i]; - - return sqrt(partial); -} - - - -/************************************************************************* -* This function computes a 2-norm -**************************************************************************/ -float sdot(int n, float *x, float *y) -{ - int i; - float partial = 0; - - for (i = 0; i<n; i++) - partial += x[i] * y[i]; - - return partial; -} - - -/************************************************************************* -* This function computes a 2-norm -**************************************************************************/ -void saxpy(int n, float alpha, float *x, float *y) -{ - int i; - - for (i=0; i<n; i++) - y[i] += alpha*x[i]; -} - - - - - - -/************************************************************************* -* This function sorts an array of type KeyValueType in increasing order -**************************************************************************/ -void ikeyvalsort_org(int n, KeyValueType *nodes) -{ - qsort((void *)nodes, (size_t)n, (size_t)sizeof(KeyValueType), IncKeyValueCmp); -} - - -/************************************************************************* -* This function compares 2 KeyValueType variables for sorting in inc order -**************************************************************************/ -int IncKeyValueCmp(const void *v1, const void *v2) -{ - KeyValueType *n1, *n2; - - n1 = (KeyValueType *)v1; - n2 = (KeyValueType *)v2; - - return (n1->key != n2->key ? n1->key - n2->key : n1->val - n2->val); -} - - - -/************************************************************************* -* This function sorts an array of type KeyValueType in increasing order -**************************************************************************/ -void dkeyvalsort(int n, KeyValueType *nodes) -{ - qsort((void *)nodes, (size_t)n, (size_t)sizeof(KeyValueType), DecKeyValueCmp); -} - - -/************************************************************************* -* This function compares 2 KeyValueType variables for sorting in inc order -**************************************************************************/ -int DecKeyValueCmp(const void *v1, const void *v2) -{ - KeyValueType *n1, *n2; - - n1 = (KeyValueType *)v1; - n2 = (KeyValueType *)v2; - - return n2->key - n1->key; - -} - - - -/************************************************************************* -* This function does a binary search on an array for a key and returns -* the index -**************************************************************************/ -int BSearch(int n, idxtype *array, int key) -{ - int a=0, b=n, c; - - while (b-a > 8) { - c = (a+b)>>1; - if (array[c] > key) - b = c; - else - a = c; - } - - for (c=a; c<b; c++) { - if (array[c] == key) - return c; - } - - errexit("Key %d not found!\n", key); - - return 0; -} - - - -/************************************************************************* -* This file randomly permutes the contents of an array. -* flag == 0, don't initialize perm -* flag == 1, set p[i] = i -**************************************************************************/ -void RandomPermute(int n, idxtype *p, int flag) -{ - int i, u, v; - idxtype tmp; - - if (flag == 1) { - for (i=0; i<n; i++) - p[i] = i; - } - - for (i=0; i<n; i++) { - v = RandomInRange(n); - u = RandomInRange(n); - SWAP(p[v], p[u], tmp); - } -} - - -/************************************************************************* -* This file randomly permutes the contents of an array. -* flag == 0, don't initialize perm -* flag == 1, set p[i] = i -**************************************************************************/ -void FastRandomPermute(int n, idxtype *p, int flag) -{ - int i, u, v; - idxtype tmp; - - /* this is for very small arrays */ - if (n < 25) { - RandomPermute(n, p, flag); - return; - } - - if (flag == 1) { - for (i=0; i<n; i++) - p[i] = i; - } - - for (i=0; i<n; i+=8) { - v = RandomInRange(n-4); - u = RandomInRange(n-4); - SWAP(p[v], p[u], tmp); - SWAP(p[v+1], p[u+1], tmp); - SWAP(p[v+2], p[u+2], tmp); - SWAP(p[v+3], p[u+3], tmp); - } -} - -/************************************************************************* -* This function returns true if the a is a power of 2 -**************************************************************************/ -int ispow2(int a) -{ - for (; a%2 != 1; a = a>>1); - return (a > 1 ? 0 : 1); -} - -/************************************************************************* -* This function returns the log2(x) -**************************************************************************/ -int log2Int(int a) -{ - int i; - - for (i=1; a > 1; i++, a = a>>1); - return i-1; -} - - -/************************************************************************* -* These functions set the values of a vector -**************************************************************************/ -float *sset(int n, float val, float *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] = val; - - return x; -} - - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int iamax(int n, int *x) -{ - int i, max=0; - - for (i=1; i<n; i++) - max = (x[i] > x[max] ? i : max); - - return max; -} - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int samax_strd(int n, float *x, int incx) -{ - int i; - int max=0; - - n *= incx; - for (i=incx; i<n; i+=incx) - max = (x[i] > x[max] ? i : max); - - return max/incx; -} - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int sfamax(int n, float *x) -{ - int i; - int max=0; - - for (i=1; i<n; i++) - max = (fabs(x[i]) > fabs(x[max]) ? i : max); - - return max; -} - - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int samin_strd(int n, float *x, int incx) -{ - int i; - int min=0; - - n *= incx; - for (i=incx; i<n; i+=incx) - min = (x[i] < x[min] ? i : min); - - return min/incx; -} - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int idxamax_strd(int n, idxtype *x, int incx) -{ - int i, max=0; - - n *= incx; - for (i=incx; i<n; i+=incx) - max = (x[i] > x[max] ? i : max); - - return max/incx; -} - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int idxamin_strd(int n, idxtype *x, int incx) -{ - int i, min=0; - - n *= incx; - for (i=incx; i<n; i+=incx) - min = (x[i] < x[min] ? i : min); - - return min/incx; -} - - -/************************************************************************* -* This function returns the average value of an array -**************************************************************************/ -float idxavg(int n, idxtype *x) -{ - int i; - float retval = 0.0; - - for (i=0; i<n; i++) - retval += (float)(x[i]); - - return retval / (float)(n); -} - - -/************************************************************************* -* This function returns the average value of an array -**************************************************************************/ -float savg(int n, float *x) -{ - int i; - float retval = 0.0; - - for (i=0; i<n; i++) - retval += x[i]; - - return retval / (float)(n); -} - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int samax(int n, float *x) -{ - int i, max=0; - - for (i=1; i<n; i++) - max = (x[i] > x[max] ? i : max); - - return max; -} - - -/************************************************************************* -* These functions return the index of the maximum element in a vector -**************************************************************************/ -int sfavg(int n, float *x) -{ - int i; - float total = 0.0; - - if (n == 0) - return 0.0; - - for (i=0; i<n; i++) - total += fabs(x[i]); - - return total / (float) n; -} - - -/************************************************************************* -* These functions return the index of the almost maximum element in a vector -**************************************************************************/ -int samax2(int n, float *x) -{ - int i, max1, max2; - - if (x[0] > x[1]) { - max1 = 0; - max2 = 1; - } - else { - max1 = 1; - max2 = 0; - } - - for (i=2; i<n; i++) { - if (x[i] > x[max1]) { - max2 = max1; - max1 = i; - } - else if (x[i] > x[max2]) - max2 = i; - } - - return max2; -} - - -/************************************************************************* -* These functions return the index of the minimum element in a vector -**************************************************************************/ -int samin(int n, float *x) -{ - int i, min=0; - - for (i=1; i<n; i++) - min = (x[i] < x[min] ? i : min); - - return min; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -int idxsum_strd(int n, idxtype *x, int incx) -{ - int i, sum = 0; - - for (i=0; i<n; i++, x+=incx) { - sum += *x; - } - - return sum; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -void idxadd(int n, idxtype *x, idxtype *y) -{ - for (n--; n>=0; n--) - y[n] += x[n]; -} - - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -float ssum(int n, float *x) -{ - int i; - float sum = 0.0; - - for (i=0; i<n; i++) - sum += x[i]; - - return sum; -} - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -float ssum_strd(int n, float *x, int incx) -{ - int i; - float sum = 0.0; - - for (i=0; i<n; i++, x+=incx) - sum += *x; - - return sum; -} - -/************************************************************************* -* This function sums the entries in an array -**************************************************************************/ -void sscale(int n, float alpha, float *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] *= alpha; -} - - -/************************************************************************* -* This function negates the entries in an array -**************************************************************************/ -void saneg(int n, float *x) -{ - int i; - - for (i=0; i<n; i++) - x[i] = -1.0*x[i]; -} - - - -/************************************************************************* -* This function checks if v+u2 provides a better balance in the weight -* vector that v+u1 -**************************************************************************/ -float BetterVBalance(int ncon, float *vwgt, float *u1wgt, float *u2wgt) -{ - int i; - float sum1, sum2, diff1, diff2; - - if (ncon == 1) - return u1wgt[0] - u1wgt[0]; - - sum1 = sum2 = 0.0; - for (i=0; i<ncon; i++) { - sum1 += vwgt[i]+u1wgt[i]; - sum2 += vwgt[i]+u2wgt[i]; - } - sum1 = sum1/(1.0*ncon); - sum2 = sum2/(1.0*ncon); - - diff1 = diff2 = 0.0; - for (i=0; i<ncon; i++) { - diff1 += fabs(sum1 - (vwgt[i]+u1wgt[i])); - diff2 += fabs(sum2 - (vwgt[i]+u2wgt[i])); - } - - return diff1 - diff2; - -} - - -/************************************************************************* -* This function checks if the pairwise balance of the between the two -* partitions will improve by moving the vertex v from pfrom to pto, -* subject to the target partition weights of tfrom, and tto respectively -**************************************************************************/ -int IsHBalanceBetterFT(int ncon, float *pfrom, float *pto, float *nvwgt, float *ubvec) -{ - int i; - float blb1=0.0, alb1=0.0, sblb=0.0, salb=0.0; - float blb2=0.0, alb2=0.0; - float temp; - - for (i=0; i<ncon; i++) { - temp = amax(pfrom[i], pto[i])/ubvec[i]; - if (blb1 < temp) { - blb2 = blb1; - blb1 = temp; - } - else if (blb2 < temp) - blb2 = temp; - sblb += temp; - - temp = amax(pfrom[i]-nvwgt[i], pto[i]+nvwgt[i])/ubvec[i]; - if (alb1 < temp) { - alb2 = alb1; - alb1 = temp; - } - else if (alb2 < temp) - alb2 = temp; - salb += temp; - } - - if (alb1 < blb1) - return 1; - if (blb1 < alb1) - return 0; - if (alb2 < blb2) - return 1; - if (blb2 < alb2) - return 0; - - return salb < sblb; - -} - -/************************************************************************* -* This function checks if it will be better to move a vertex to pt2 than -* to pt1 subject to their target weights of tt1 and tt2, respectively -* This routine takes into account the weight of the vertex in question -**************************************************************************/ -int IsHBalanceBetterTT(int ncon, float *pt1, float *pt2, float *nvwgt, float *ubvec) -{ - int i; - float m11=0.0, m12=0.0, m21=0.0, m22=0.0, sm1=0.0, sm2=0.0, temp; - - for (i=0; i<ncon; i++) { - temp = (pt1[i]+nvwgt[i])/ubvec[i]; - if (m11 < temp) { - m12 = m11; - m11 = temp; - } - else if (m12 < temp) - m12 = temp; - sm1 += temp; - temp = (pt2[i]+nvwgt[i])/ubvec[i]; - if (m21 < temp) { - m22 = m21; - m21 = temp; - } - else if (m22 < temp) - m22 = temp; - sm2 += temp; - } - if (m21 < m11) - return 1; - if (m21 > m11) - return 0; - if (m22 < m12) - return 1; - if (m22 > m12) - return 0; - - return sm2 < sm1; -} - -/************************************************************************* -* This is a comparison function -**************************************************************************/ -int myvalkeycompare(const void *fptr, const void *sptr) -{ - KVType *first, *second; - - first = (KVType *)(fptr); - second = (KVType *)(sptr); - - if (first->val > second->val) - return 1; - - if (first->val < second->val) - return -1; - - return 0; -} - -/************************************************************************* -* This is the inverse comparison function -**************************************************************************/ -int imyvalkeycompare(const void *fptr, const void *sptr) -{ - KVType *first, *second; - - first = (KVType *)(fptr); - second = (KVType *)(sptr); - - if (first->val > second->val) - return -1; - - if (first->val < second->val) - return 1; - - return 0; -} - - -/************************************************************************* -* The following function allocates and sets an array of floats -**************************************************************************/ -float *fsmalloc(int n, float fval, char *msg) -{ - if (n == 0) - return NULL; - - return sset(n, fval, (float *)GKmalloc(sizeof(float)*n, msg)); -} - - -/************************************************************************* -* This function computes a 2-norm -**************************************************************************/ -void saxpy2(int n, float alpha, float *x, int incx, float *y, int incy) -{ - int i; - - for (i=0; i<n; i++, x+=incx, y+=incy) - *y += alpha*(*x); -} - - -/************************************************************************* -* This function computes the top three values of a float array -**************************************************************************/ -void GetThreeMax(int n, float *x, int *first, int *second, int *third) -{ - int i; - - if (n <= 0) { - *first = *second = *third = -1; - return; - } - - *second = *third = -1; - *first = 0; - - for (i=1; i<n; i++) { - if (x[i] > x[*first]) { - *third = *second; - *second = *first; - *first = i; - continue; - } - - if (*second == -1 || x[i] > x[*second]) { - *third = *second; - *second = i; - continue; - } - - if (*third == -1 || x[i] > x[*third]) - *third = i; - } - - return; -} diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/wave.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/wave.c deleted file mode 100644 index 0f1cb3f..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/wave.c +++ /dev/null @@ -1,241 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * wave.c - * - * This file contains code for directed diffusion at the coarsest graph - * - * Started 5/19/97, Kirk, George - * - * $Id: wave.c,v 1.3 2003/07/22 21:47:18 karypis Exp $ - * - */ - -#include <parmetislib.h> - -/************************************************************************* -* This function performs a k-way directed diffusion -**************************************************************************/ -float WavefrontDiffusion(CtrlType *ctrl, GraphType *graph, idxtype *home) -{ - int ii, i, j, k, l, nvtxs, nedges, nparts; - int from, to, edge, done, nswaps, noswaps, totalv, wsize; - int npasses, first, second, third, mind, maxd; - idxtype *xadj, *adjncy, *adjwgt, *where, *perm; - idxtype *rowptr, *colind, *ed, *psize; - float *transfer, *tmpvec; - float balance = -1.0, *load, *solution, *workspace; - float *nvwgt, *npwgts, flowFactor, cost, ubfactor; - MatrixType matrix; - KeyValueType *cand; - int ndirty, nclean, dptr, clean; - - nvtxs = graph->nvtxs; - nedges = graph->nedges; - xadj = graph->xadj; - nvwgt = graph->nvwgt; - adjncy = graph->adjncy; - adjwgt = graph->adjwgt; - where = graph->where; - nparts = ctrl->nparts; - ubfactor = ctrl->ubvec[0]; - matrix.nrows = nparts; - - flowFactor = 0.35; - flowFactor = (ctrl->mype == 2) ? 0.50 : flowFactor; - flowFactor = (ctrl->mype == 3) ? 0.75 : flowFactor; - flowFactor = (ctrl->mype == 4) ? 1.00 : flowFactor; - - /* allocate memory */ - solution = fmalloc(4*nparts+2*nedges, "WavefrontDiffusion: solution"); - tmpvec = solution + nparts; - npwgts = solution + 2*nparts; - load = solution + 3*nparts; - matrix.values = solution + 4*nparts; - transfer = matrix.transfer = solution + 4*nparts + nedges; - - perm = idxmalloc(2*nvtxs+2*nparts+nedges+1, "WavefrontDiffusion: perm"); - ed = perm + nvtxs; - psize = perm + 2*nvtxs; - rowptr = matrix.rowptr = perm + 2*nvtxs + nparts; - colind = matrix.colind = perm + 2*nvtxs + 2*nparts + 1; - - wsize = amax(sizeof(float)*nparts*6, sizeof(idxtype)*(nvtxs+nparts*2+1)); - workspace = (float *)GKmalloc(wsize, "WavefrontDiffusion: workspace"); - cand = (KeyValueType *)GKmalloc(nvtxs*sizeof(KeyValueType), "WavefrontDiffusion: cand"); - - - /*****************************/ - /* Populate empty subdomains */ - /*****************************/ - idxset(nparts, 0, psize); - for (i=0; i<nvtxs; i++) - psize[where[i]]++; - - mind = idxamin(nparts, psize); - maxd = idxamax(nparts, psize); - if (psize[mind] == 0) { - for (i=0; i<nvtxs; i++) { - k = (RandomInRange(nvtxs)+i)%nvtxs; - if (where[k] == maxd) { - where[k] = mind; - psize[mind]++; - psize[maxd]--; - break; - } - } - } - idxset(nvtxs, 0, ed); - sset(nparts, 0.0, npwgts); - for (i=0; i<nvtxs; i++) { - npwgts[where[i]] += nvwgt[i]; - for (j=xadj[i]; j<xadj[i+1]; j++) - ed[i] += (where[i] != where[adjncy[j]] ? adjwgt[j] : 0); - } - - ComputeLoad(graph, nparts, load, ctrl->tpwgts, 0); - done = 0; - - npasses = amin(nparts/2, NGD_PASSES); - for (l=0; l<npasses; l++) { - /* Set-up and solve the diffusion equation */ - nswaps = 0; - - /************************/ - /* Solve flow equations */ - /************************/ - SetUpConnectGraph(graph, &matrix, (idxtype *)workspace); - - /* check for disconnected subdomains */ - for(i=0; i<matrix.nrows; i++) { - if (matrix.rowptr[i]+1 == matrix.rowptr[i+1]) { - cost = (float)(ctrl->mype); - goto CleanUpAndExit; - } - } - - ConjGrad2(&matrix, load, solution, 0.001, workspace); - ComputeTransferVector(1, &matrix, solution, transfer, 0); - - GetThreeMax(nparts, load, &first, &second, &third); - - if (l%3 == 0) { - FastRandomPermute(nvtxs, perm, 1); - } - else { - /*****************************/ - /* move dirty vertices first */ - /*****************************/ - ndirty = 0; - for (i=0; i<nvtxs; i++) - if (where[i] != home[i]) - ndirty++; - - dptr = 0; - for (i=0; i<nvtxs; i++) - if (where[i] != home[i]) - perm[dptr++] = i; - else - perm[ndirty++] = i; - - ASSERT(ctrl, ndirty == nvtxs); - ndirty = dptr; - nclean = nvtxs-dptr; - FastRandomPermute(ndirty, perm, 0); - FastRandomPermute(nclean, perm+ndirty, 0); - } - - if (ctrl->mype == 0) { - for (j=nvtxs, k=0, ii=0; ii<nvtxs; ii++) { - i = perm[ii]; - if (ed[i] != 0) { - cand[k].key = -ed[i]; - cand[k++].val = i; - } - else { - cand[--j].key = 0; - cand[j].val = i; - } - } - ikeysort(k, cand); - } - - for (ii=0; ii<nvtxs/3; ii++) { - i = (ctrl->mype == 0) ? cand[ii].val : perm[ii]; - from = where[i]; - - /* don't move out the last vertex in a subdomain */ - if (psize[from] == 1) - continue; - - clean = (from == home[i]) ? 1 : 0; - - /* only move from top three or dirty vertices */ - if (from != first && from != second && from != third && clean) - continue; - - /* Scatter the sparse transfer row into the dense tmpvec row */ - for (j=rowptr[from]+1; j<rowptr[from+1]; j++) - tmpvec[colind[j]] = transfer[j]; - - for (j=xadj[i]; j<xadj[i+1]; j++) { - to = where[adjncy[j]]; - if (from != to) { - if (tmpvec[to] > (flowFactor * nvwgt[i])) { - tmpvec[to] -= nvwgt[i]; - INC_DEC(psize[to], psize[from], 1); - INC_DEC(npwgts[to], npwgts[from], nvwgt[i]); - INC_DEC(load[to], load[from], nvwgt[i]); - where[i] = to; - nswaps++; - - /* Update external degrees */ - ed[i] = 0; - for (k=xadj[i]; k<xadj[i+1]; k++) { - edge = adjncy[k]; - ed[i] += (to != where[edge] ? adjwgt[k] : 0); - - if (where[edge] == from) - ed[edge] += adjwgt[k]; - if (where[edge] == to) - ed[edge] -= adjwgt[k]; - } - break; - } - } - } - - /* Gather the dense tmpvec row into the sparse transfer row */ - for (j=rowptr[from]+1; j<rowptr[from+1]; j++) { - transfer[j] = tmpvec[colind[j]]; - tmpvec[colind[j]] = 0.0; - } - ASSERTS(fabs(ssum(nparts, tmpvec)) < .0001) - } - - if (l % 2 == 1) { - balance = npwgts[samax(nparts, npwgts)] * (float)nparts; - if (balance < ubfactor + 0.035) - done = 1; - - if (GlobalSESum(ctrl, done) > 0) - break; - - noswaps = (nswaps > 0) ? 0 : 1; - if (GlobalSESum(ctrl, noswaps) > ctrl->npes/2) - break; - - } - } - - graph->mincut = ComputeSerialEdgeCut(graph); - totalv = Mc_ComputeSerialTotalV(graph, home); - cost = ctrl->ipc_factor * (float)graph->mincut + ctrl->redist_factor * (float)totalv; - - -CleanUpAndExit: - GKfree((void **)&solution, (void **)&perm, (void **)&workspace, (void **)&cand, LTERM); - - return cost; -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/weird.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/weird.c deleted file mode 100644 index 69d0e5d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/weird.c +++ /dev/null @@ -1,275 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * weird.c - * - * This file contain various graph setting up routines - * - * Started 10/19/96 - * George - * - * $Id: weird.c,v 1.9 2003/07/31 16:27:28 karypis Exp $ - * - */ - -#include <parmetislib.h> - - - -/************************************************************************* -* This function computes a partitioning of a small graph -**************************************************************************/ -void PartitionSmallGraph(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace) -{ - int i, h, ncon, nparts, npes, mype; - int moptions[10]; - int mynumflag, mywgtflag, me; - idxtype *mypart; - int lpecut[2], gpecut[2]; - GraphType *agraph; - int *sendcounts, *displs; - float *mytpwgts, *gnpwgts, *lnpwgts; - - ncon = graph->ncon; - nparts = ctrl->nparts; - - MPI_Comm_size(ctrl->comm, &npes); - MPI_Comm_rank(ctrl->comm, &mype); - - SetUp(ctrl, graph, wspace); - graph->where = idxmalloc(graph->nvtxs+graph->nrecv, "PartitionSmallGraph: where"); - agraph = Moc_AssembleAdaptiveGraph(ctrl, graph, wspace); - mypart = idxmalloc(agraph->nvtxs, "mypart"); - - moptions[0] = 0; - moptions[7] = ctrl->sync + mype; - mynumflag = 0; - mywgtflag = 3; - if (ncon == 1) { - METIS_WPartGraphKway2(&agraph->nvtxs, agraph->xadj, agraph->adjncy, agraph->vwgt, - agraph->adjwgt, &mywgtflag, &mynumflag, &nparts, ctrl->tpwgts, moptions, - &graph->mincut, mypart); - } - else { - mytpwgts = fmalloc(nparts, "mytpwgts"); - for (i=0; i<nparts; i++) - mytpwgts[i] = ctrl->tpwgts[i*ncon]; - - METIS_mCPartGraphRecursive2(&agraph->nvtxs, &ncon, agraph->xadj, agraph->adjncy, - agraph->vwgt, agraph->adjwgt, &mywgtflag, &mynumflag, &nparts, mytpwgts, - moptions, &graph->mincut, mypart); - - free(mytpwgts); - } - - lpecut[0] = graph->mincut; - lpecut[1] = mype; - MPI_Allreduce(lpecut, gpecut, 1, MPI_2INT, MPI_MINLOC, ctrl->comm); - graph->mincut = gpecut[0]; - - if (lpecut[1] == gpecut[1] && gpecut[1] != 0) - MPI_Send((void *)mypart, agraph->nvtxs, IDX_DATATYPE, 0, 1, ctrl->comm); - if (lpecut[1] == 0 && gpecut[1] != 0) - MPI_Recv((void *)mypart, agraph->nvtxs, IDX_DATATYPE, gpecut[1], 1, ctrl->comm, &ctrl->status); - - sendcounts = imalloc(npes, "sendcounts"); - displs = imalloc(npes, "displs"); - - for (i=0; i<npes; i++) { - sendcounts[i] = graph->vtxdist[i+1]-graph->vtxdist[i]; - displs[i] = graph->vtxdist[i]; - } - - MPI_Scatterv((void *)mypart, sendcounts, displs, IDX_DATATYPE, - (void *)graph->where, graph->nvtxs, IDX_DATATYPE, 0, ctrl->comm); - - lnpwgts = graph->lnpwgts = fmalloc(nparts*ncon, "lnpwgts"); - gnpwgts = graph->gnpwgts = fmalloc(nparts*ncon, "gnpwgts"); - sset(nparts*ncon, 0, lnpwgts); - for (i=0; i<graph->nvtxs; i++) { - me = graph->where[i]; - for (h=0; h<ncon; h++) - lnpwgts[me*ncon+h] += graph->nvwgt[i*ncon+h]; - } - MPI_Allreduce((void *)lnpwgts, (void *)gnpwgts, nparts*ncon, MPI_FLOAT, MPI_SUM, ctrl->comm); - GKfree((void**)&mypart, (void**)&sendcounts, (void**)&displs, LTERM); - FreeGraph(agraph); - - return; -} - - - -/************************************************************************* -* This function checks the inputs for the partitioning routines -**************************************************************************/ -void CheckInputs(int partType, int npes, int dbglvl, int *wgtflag, int *iwgtflag, - int *numflag, int *inumflag, int *ncon, int *incon, int *nparts, - int *inparts, float *tpwgts, float **itpwgts, float *ubvec, - float *iubvec, float *ipc2redist, float *iipc2redist, int *options, - int *ioptions, idxtype *part, MPI_Comm *comm) -{ - int i, j; - int doweabort, doiabort = 0; - float tsum, *myitpwgts; - int mgcnums[5] = {-1, 2, 3, 4, 2}; - - /**************************************/ - if (part == NULL) { - doiabort = 1; - IFSET(dbglvl, DBG_INFO, printf("ERROR: part array is set to NULL.\n")); - } - /**************************************/ - - - /**************************************/ - if (wgtflag == NULL) { - *iwgtflag = 0; - IFSET(dbglvl, DBG_INFO, printf("WARNING: wgtflag is NULL. Using a value of 0.\n")); - } - else { - *iwgtflag = *wgtflag; - } - /**************************************/ - - - /**************************************/ - if (numflag == NULL) { - *inumflag = 0; - IFSET(dbglvl, DBG_INFO, printf("WARNING: numflag is NULL. Using a value of 0.\n")); - } - else { - if (*numflag != 0 && *numflag != 1) { - IFSET(dbglvl, DBG_INFO, printf("WARNING: bad value for numflag %d. Using a value of 0.\n", *numflag)); - *inumflag = 0; - } - else { - *inumflag = *numflag; - } - } - /**************************************/ - - - /**************************************/ - if (ncon == NULL) { - *incon = 1; - IFSET(dbglvl, DBG_INFO, printf("WARNING: ncon is NULL. Using a value of 1.\n")); - } - else { - if (*ncon < 1 || *ncon > MAXNCON) { - IFSET(dbglvl, DBG_INFO, printf("WARNING: bad value for ncon %d. Using a value of 1.\n", *ncon)); - *incon = 1; - } - else { - *incon = *ncon; - } - } - /**************************************/ - - - /**************************************/ - if (nparts == NULL) { - *inparts = npes; - IFSET(dbglvl, DBG_INFO, printf("WARNING: nparts is NULL. Using a value of %d.\n", npes)); - } - else { - if (*nparts < 1 || *nparts > MAX_NPARTS) { - IFSET(dbglvl, DBG_INFO, printf("WARNING: bad value for nparts %d. Using a value of %d.\n", *nparts, npes)); - *inparts = npes; - } - else { - *inparts = *nparts; - } - } - /**************************************/ - - - /**************************************/ - myitpwgts = *itpwgts = fmalloc((*inparts)*(*incon), "CheckInputs: itpwgts"); - if (tpwgts == NULL) { - sset((*inparts)*(*incon), 1.0/(float)(*inparts), myitpwgts); - IFSET(dbglvl, DBG_INFO, printf("WARNING: tpwgts is NULL. Setting all array elements to %.3f.\n", 1.0/(float)(*inparts))); - } - else { - for (i=0; i<*incon; i++) { - tsum = 0.0; - for (j=0; j<*inparts; j++) { - tsum += tpwgts[j*(*incon)+i]; - } - if (fabs(1.0-tsum) < SMALLFLOAT) - tsum = 1.0; - for (j=0; j<*inparts; j++) - myitpwgts[j*(*incon)+i] = tpwgts[j*(*incon)+i] / tsum; - } - } - /**************************************/ - - - /**************************************/ - if (ubvec == NULL) { - sset(*incon, 1.05, iubvec); - IFSET(dbglvl, DBG_INFO, printf("WARNING: ubvec is NULL. Setting all array elements to 1.05.\n")); - } - else { - for (i=0; i<*incon; i++) { - if (ubvec[i] < 1.0 || ubvec[i] > (float)(*inparts)) { - iubvec[i] = 1.05; - IFSET(dbglvl, DBG_INFO, printf("WARNING: bad value for ubvec[%d]: %.3f. Setting value to 1.05.[%d]\n", i, ubvec[i], *inparts)); - } - else { - iubvec[i] = ubvec[i]; - } - } - } - /**************************************/ - - - /**************************************/ - if (partType == ADAPTIVE_PARTITION) { - if (ipc2redist != NULL) { - if (*ipc2redist < SMALLFLOAT || *ipc2redist > 1000000.0) { - IFSET(dbglvl, DBG_INFO, printf("WARNING: bad value for ipc2redist %.3f. Using a value of 1000.\n", *ipc2redist)); - *iipc2redist = 1000.0; - } - else { - *iipc2redist = *ipc2redist; - } - } - else { - IFSET(dbglvl, DBG_INFO, printf("WARNING: ipc2redist is NULL. Using a value of 1000.\n")); - *iipc2redist = 1000.0; - } - } - /**************************************/ - - - /**************************************/ - if (options == NULL) { - ioptions[0] = 0; - IFSET(dbglvl, DBG_INFO, printf("WARNING: options is NULL. Using defaults\n")); - } - else { - ioptions[0] = options[0]; - ioptions[1] = options[1]; - ioptions[2] = options[2]; - if (partType == ADAPTIVE_PARTITION || partType == REFINE_PARTITION) - ioptions[3] = options[3]; - } - /**************************************/ - - - /**************************************/ - if (comm == NULL) { - IFSET(dbglvl, DBG_INFO, printf("ERROR: comm is NULL. Aborting\n")); - abort(); - } - else { - MPI_Allreduce((void *)&doiabort, (void *)&doweabort, 1, MPI_INT, MPI_MAX, *comm); - if (doweabort > 0) - abort(); - } - /**************************************/ - -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/xyzpart.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/xyzpart.c deleted file mode 100644 index e538034..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/ParMETISLib/xyzpart.c +++ /dev/null @@ -1,257 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * xyzpart.c - * - * This file contains code that implements a coordinate based partitioning - * - * Started 7/11/97 - * George - * - * $Id: xyzpart.c,v 1.3 2003/07/30 18:37:59 karypis Exp $ - * - */ - -#include <parmetislib.h> - - -/************************************************************************* -* This function implements a simple coordinate based partitioning -**************************************************************************/ -void Coordinate_Partition(CtrlType *ctrl, GraphType *graph, int ndims, float *xyz, - int setup, WorkSpaceType *wspace) -{ - int i, j, k, nvtxs, firstvtx, icoord, coords[3]; - idxtype *vtxdist; - float max[3], min[3], gmin[3], gmax[3], shift[3], scale[3]; - KeyValueType *cand; - - if (setup) - SetUp(ctrl, graph, wspace); - else - graph->nrecv = 0; - - nvtxs = graph->nvtxs; - vtxdist = graph->vtxdist; - - firstvtx = vtxdist[ctrl->mype]; - - cand = (KeyValueType *)GKmalloc(nvtxs*sizeof(KeyValueType), "Coordinate_Partition: cand"); - - /* Compute parameters for coordinate transformation */ - for (k=0; k<ndims; k++) { - min[k] = +10000000; - max[k] = -10000000; - } - for (i=0; i<nvtxs; i++) { - for (k=0; k<ndims; k++) { - if (xyz[i*ndims+k] < min[k]) - min[k] = xyz[i*ndims+k]; - if (xyz[i*ndims+k] > max[k]) - max[k] = xyz[i*ndims+k]; - } - } - - /* Compute global min and max */ - MPI_Allreduce((void *)min, (void *)gmin, ndims, MPI_FLOAT, MPI_MIN, ctrl->comm); - MPI_Allreduce((void *)max, (void *)gmax, ndims, MPI_FLOAT, MPI_MAX, ctrl->comm); - - /* myprintf(ctrl, "Coordinate Range: %e %e, Global %e %e\n", min[0], max[0], gmin[0], gmax[0]); */ - - for (k=0; k<ndims; k++) { - /* rprintf(ctrl, "Dim#%d: %e %e, span: %e\n", k, gmin[k], gmax[k], gmax[k]-gmin[k]); */ - shift[k] = -gmin[k]; - if (gmax[k] != gmin[k]) - scale[k] = 1.0/(gmax[k]-gmin[k]); - else - scale[k] = 1.0; - } - - switch (ctrl->xyztype) { - case XYZ_XCOORD: - for (i=0; i<nvtxs; i++) { - cand[i].key = 1000000*((xyz[i*ndims]+shift[0])*scale[0]); - ASSERT(ctrl, cand[i].key>=0 && cand[i].key<=1000000); - cand[i].val = firstvtx+i; - } - break; - case XYZ_SPFILL: - for (i=0; i<nvtxs; i++) { - for (k=0; k<ndims; k++) - coords[k] = 1024*((xyz[i*ndims+k]+shift[k])*scale[k]); - for (icoord=0, j=9; j>=0; j--) { - for (k=0; k<ndims; k++) - icoord = (icoord<<1) + (coords[k]&(1<<j) ? 1 : 0); - } - cand[i].key = icoord; - cand[i].val = firstvtx+i; - } - break; - default: - errexit("Unknown XYZ_Type type!\n"); - } - - - /* Partition using sorting */ - PartSort(ctrl, graph, cand, wspace); - - free(cand); - -} - - - -/************************************************************************* -* This function sorts a distributed list of KeyValueType in increasing -* order, and uses it to compute a partition. It uses samplesort. -**************************************************************************/ -void PartSort(CtrlType *ctrl, GraphType *graph, KeyValueType *elmnts, WorkSpaceType *wspace) -{ - int i, j, k, nvtxs, nrecv, npes=ctrl->npes, mype=ctrl->mype, firstvtx, lastvtx; - idxtype *scounts, *rcounts, *vtxdist, *perm; - KeyValueType *relmnts, *mypicks, *allpicks; - - nvtxs = graph->nvtxs; - vtxdist = graph->vtxdist; - - scounts = wspace->pv1; - rcounts = wspace->pv2; - - /* Allocate memory for the splitters */ - mypicks = (KeyValueType *)GKmalloc(sizeof(KeyValueType)*(npes+1), "ParSort: mypicks"); - allpicks = (KeyValueType *)GKmalloc(sizeof(KeyValueType)*npes*npes, "ParSort: allpicks"); - - /* Sort the local elements */ - ikeysort(nvtxs, elmnts); - - /* Select the local npes-1 equally spaced elements */ - for (i=1; i<npes; i++) { - mypicks[i-1].key = elmnts[i*(nvtxs/npes)].key; - mypicks[i-1].val = elmnts[i*(nvtxs/npes)].val; - } - - /* PrintPairs(ctrl, npes-1, mypicks, "Mypicks"); */ - - /* Gather the picks to all the processors */ - MPI_Allgather((void *)mypicks, 2*(npes-1), IDX_DATATYPE, (void *)allpicks, 2*(npes-1), IDX_DATATYPE, ctrl->comm); - - /* PrintPairs(ctrl, npes*(npes-1), allpicks, "Allpicks"); */ - - /* Sort all the picks */ - ikeyvalsort(npes*(npes-1), allpicks); - - /* PrintPairs(ctrl, npes*(npes-1), allpicks, "Allpicks"); */ - - /* Select the final splitters. Set the boundaries to simplify coding */ - for (i=1; i<npes; i++) - mypicks[i] = allpicks[i*(npes-1)]; - mypicks[0].key = MIN_INT; - mypicks[npes].key = MAX_INT; - - /* PrintPairs(ctrl, npes+1, mypicks, "Mypicks"); */ - - /* Compute the number of elements that belong to each bucket */ - idxset(npes, 0, scounts); - for (j=i=0; i<nvtxs; i++) { - if (elmnts[i].key < mypicks[j+1].key || (elmnts[i].key == mypicks[j+1].key && elmnts[i].val < mypicks[j+1].val)) - scounts[j]++; - else - scounts[++j]++; - } - MPI_Alltoall(scounts, 1, IDX_DATATYPE, rcounts, 1, IDX_DATATYPE, ctrl->comm); - -/* - PrintVector(ctrl, npes, 0, scounts, "Scounts"); - PrintVector(ctrl, npes, 0, rcounts, "Rcounts"); -*/ - - /* Allocate memory for sorted elements and receive them */ - MAKECSR(i, npes, scounts); - MAKECSR(i, npes, rcounts); - nrecv = rcounts[npes]; - if (wspace->nlarge >= nrecv) - relmnts = (KeyValueType *)wspace->pairs; - else - relmnts = (KeyValueType *)GKmalloc(sizeof(KeyValueType)*nrecv, "ParSort: relmnts"); - - /* Issue the receives first */ - for (i=0; i<npes; i++) - MPI_Irecv((void *)(relmnts+rcounts[i]), 2*(rcounts[i+1]-rcounts[i]), IDX_DATATYPE, i, 1, ctrl->comm, ctrl->rreq+i); - - /* Issue the sends next */ - for (i=0; i<npes; i++) - MPI_Isend((void *)(elmnts+scounts[i]), 2*(scounts[i+1]-scounts[i]), IDX_DATATYPE, i, 1, ctrl->comm, ctrl->sreq+i); - - MPI_Waitall(npes, ctrl->rreq, ctrl->statuses); - MPI_Waitall(npes, ctrl->sreq, ctrl->statuses); - - - /* OK, now do the local sort of the relmnts. Use perm to keep track original order */ - perm = idxmalloc(nrecv, "ParSort: perm"); - for (i=0; i<nrecv; i++) { - perm[i] = relmnts[i].val; - relmnts[i].val = i; - } - ikeysort(nrecv, relmnts); - - - /* Compute what needs to be shifted */ - MPI_Scan((void *)(&nrecv), (void *)(&lastvtx), 1, MPI_INT, MPI_SUM, ctrl->comm); - firstvtx = lastvtx-nrecv; - - /*myprintf(ctrl, "first, last: %d %d\n", firstvtx, lastvtx); */ - - for (j=0, i=0; i<npes; i++) { - if (vtxdist[i+1] > firstvtx) { /* Found the first PE that is passed me */ - if (vtxdist[i+1] >= lastvtx) { - /* myprintf(ctrl, "Shifting %d elements to processor %d\n", lastvtx-firstvtx, i); */ - for (k=0; k<lastvtx-firstvtx; k++, j++) - relmnts[relmnts[j].val].key = i; - } - else { - /* myprintf(ctrl, "Shifting %d elements to processor %d\n", vtxdist[i+1]-firstvtx, i); */ - for (k=0; k<vtxdist[i+1]-firstvtx; k++, j++) - relmnts[relmnts[j].val].key = i; - - firstvtx = vtxdist[i+1]; - } - } - if (vtxdist[i+1] >= lastvtx) - break; - } - - /* Reverse the ordering on the relmnts[].val */ - for (i=0; i<nrecv; i++) { - ASSERTP(ctrl, relmnts[i].key>=0 && relmnts[i].key<npes, (ctrl, "%d %d\n", i, relmnts[i].key)); - relmnts[i].val = perm[i]; - } - - /* OK, now sent it back */ - /* Issue the receives first */ - for (i=0; i<npes; i++) - MPI_Irecv((void *)(elmnts+scounts[i]), 2*(scounts[i+1]-scounts[i]), IDX_DATATYPE, i, 1, ctrl->comm, ctrl->rreq+i); - - /* Issue the sends next */ - for (i=0; i<npes; i++) - MPI_Isend((void *)(relmnts+rcounts[i]), 2*(rcounts[i+1]-rcounts[i]), IDX_DATATYPE, i, 1, ctrl->comm, ctrl->sreq+i); - - MPI_Waitall(npes, ctrl->rreq, ctrl->statuses); - MPI_Waitall(npes, ctrl->sreq, ctrl->statuses); - - - /* Construct a partition for the graph */ - graph->where = idxmalloc(graph->nvtxs+graph->nrecv, "PartSort: graph->where"); - firstvtx = vtxdist[mype]; - for (i=0; i<nvtxs; i++) { - ASSERTP(ctrl, elmnts[i].key>=0 && elmnts[i].key<npes, (ctrl, "%d %d\n", i, elmnts[i].key)); - ASSERTP(ctrl, elmnts[i].val>=vtxdist[mype] && elmnts[i].val<vtxdist[mype+1], (ctrl, "%d %d %d %d\n", i, vtxdist[mype], vtxdist[mype+1], elmnts[i].val)); - graph->where[elmnts[i].val-firstvtx] = elmnts[i].key; - } - - - GKfree((void **)&mypicks, (void **)&allpicks, (void **)&perm, LTERM); - if (wspace->nlarge < nrecv) - free(relmnts); - -} - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/Makefile b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/Makefile deleted file mode 100644 index 0254eec..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/Makefile +++ /dev/null @@ -1,56 +0,0 @@ -include ../Makefile.in - -BINDIR = ../Graphs - -INCLUDES = -I./ -I../ParMETISLib $(INCDIR) -CFLAGS = $(COPTIONS) $(OPTFLAGS) $(INCLUDES) - - -LIBSDIR = -L.. $(LIBDIR) -LIBS = -lparmetis -lmetis $(XTRALIBS) -lm -PARMETISLIB = ../libparmetis.a ../libmetis.a - - -PTESTOBJS = ptest.o io.o adaptgraph.o -MESHTESTOBJS = mtest.o io.o -PARMETISOBJS = parmetis.o io.o adaptgraph.o - - -.c.o: - $(CC) $(CFLAGS) -c $*.c - - -default: $(BINDIR)/ptest$(VERNUM) $(BINDIR)/mtest$(VERNUM) - -$(BINDIR)/mtest$(VERNUM): $(MESHTESTOBJS) $(PARMETISLIB) - $(LD) -o $@ $(MESHTESTOBJS) $(LIBSDIR) $(LIBS) - chmod 744 $@ - -$(BINDIR)/ptest$(VERNUM): $(PTESTOBJS) $(PARMETISLIB) - $(LD) -o $@ $(PTESTOBJS) $(LIBSDIR) $(LIBS) - chmod 744 $@ - -clean: - rm -f *.o ;\ - rm -f $(BINDIR)/ptest$(VERNUM) - rm -f $(BINDIR)/mtest$(VERNUM) - -realclean: - rm -f *.o ;\ - rm -f $(BINDIR)/ptest$(VERNUM) - rm -f $(BINDIR)/mtest$(VERNUM) - - -checkin: - @for file in *.[c,h]; \ - do \ - ci -u -m'Maintance' $$file;\ - done - -checkin2: - @for file in *.[c,h]; \ - do \ - ci $$file;\ - rcs -U $$file;\ - co $$file;\ - done diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/adaptgraph.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/adaptgraph.c deleted file mode 100644 index 50de22e..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/adaptgraph.c +++ /dev/null @@ -1,171 +0,0 @@ -/* - * Copyright 1998, Regents of the University of Minnesota - * - * tstadpt.c - * - * This file contains code for testing teh adaptive partitioning routines - * - * Started 5/19/97 - * George - * - * $Id: adaptgraph.c,v 1.2 2003/07/21 17:50:22 karypis Exp $ - * - */ - -#include <parmetisbin.h> - - -/************************************************************************* -* This function implements a simple graph adaption strategy. -**************************************************************************/ -void AdaptGraph(GraphType *graph, int afactor, MPI_Comm comm) -{ - int i, nvtxs, nadapt, firstvtx, lastvtx; - int npes, mype, mypwgt, max, min, sum; - idxtype *vwgt, *xadj, *adjncy, *adjwgt, *perm; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - srand(mype*afactor); - srand48(mype*afactor); - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - if (graph->adjwgt == NULL) - adjwgt = graph->adjwgt = idxsmalloc(graph->nedges, 1, "AdaptGraph: adjwgt"); - else - adjwgt = graph->adjwgt; - vwgt = graph->vwgt; - - firstvtx = graph->vtxdist[mype]; - lastvtx = graph->vtxdist[mype+1]; - - perm = idxmalloc(nvtxs, "AdaptGraph: perm"); - FastRandomPermute(nvtxs, perm, 1); - - nadapt = RandomInRange(nvtxs); - nadapt = RandomInRange(nvtxs); - nadapt = RandomInRange(nvtxs); - - for (i=0; i<nadapt; i++) - vwgt[perm[i]] = afactor*vwgt[perm[i]]; - -/* - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (k >= firstvtx && k < lastvtx) { - adjwgt[j] = (int)pow(1.0*(amin(vwgt[i],vwgt[k-firstvtx])), .6667); - if (adjwgt[j] == 0) - adjwgt[j] = 1; - } - } - } -*/ - - mypwgt = idxsum(nvtxs, vwgt); - - MPI_Allreduce((void *)&mypwgt, (void *)&max, 1, MPI_INT, MPI_MAX, comm); - MPI_Allreduce((void *)&mypwgt, (void *)&min, 1, MPI_INT, MPI_MIN, comm); - MPI_Allreduce((void *)&mypwgt, (void *)&sum, 1, MPI_INT, MPI_SUM, comm); - - if (mype == 0) - printf("Initial Load Imbalance: %5.4f, [%5d %5d %5d] for afactor: %d\n", (1.0*max*npes)/(1.0*sum), min, max, sum, afactor); - - free(perm); -} - - -/************************************************************************* -* This function implements a simple graph adaption strategy. -**************************************************************************/ -void AdaptGraph2(GraphType *graph, int afactor, MPI_Comm comm) -{ - int i, j, k, nvtxs, firstvtx, lastvtx; - int npes, mype, mypwgt, max, min, sum; - idxtype *vwgt, *xadj, *adjncy, *adjwgt; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - srand(mype*afactor); - srand48(mype*afactor); - - nvtxs = graph->nvtxs; - xadj = graph->xadj; - adjncy = graph->adjncy; - if (graph->adjwgt == NULL) - adjwgt = graph->adjwgt = idxsmalloc(graph->nedges, 1, "AdaptGraph: adjwgt"); - else - adjwgt = graph->adjwgt; - vwgt = graph->vwgt; - - firstvtx = graph->vtxdist[mype]; - lastvtx = graph->vtxdist[mype+1]; - - -/* if (RandomInRange(npes+1) < .05*npes) { */ - if (RandomInRange(npes+1) < 2) { - printf("[%d] is adapting\n", mype); - for (i=0; i<nvtxs; i++) - vwgt[i] = afactor*vwgt[i]; - } - - for (i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - k = adjncy[j]; - if (k >= firstvtx && k < lastvtx) { - adjwgt[j] = (int)pow(1.0*(amin(vwgt[i],vwgt[k-firstvtx])), .6667); - if (adjwgt[j] == 0) - adjwgt[j] = 1; - } - } - } - - mypwgt = idxsum(nvtxs, vwgt); - - MPI_Allreduce((void *)&mypwgt, (void *)&max, 1, MPI_INT, MPI_MAX, comm); - MPI_Allreduce((void *)&mypwgt, (void *)&min, 1, MPI_INT, MPI_MIN, comm); - MPI_Allreduce((void *)&mypwgt, (void *)&sum, 1, MPI_INT, MPI_SUM, comm); - - if (mype == 0) - printf("Initial Load Imbalance: %5.4f, [%5d %5d %5d]\n", (1.0*max*npes)/(1.0*sum), min, max, sum); - -} - - -/************************************************************************* -* This function implements a simple graph adaption strategy. -**************************************************************************/ -void Mc_AdaptGraph(GraphType *graph, idxtype *part, int ncon, int nparts, MPI_Comm comm) -{ - int h, i; - int nvtxs; - int npes, mype; - idxtype *vwgt, *pwgts; - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - nvtxs = graph->nvtxs; - vwgt = graph->vwgt; - pwgts = idxsmalloc(nparts*ncon, 1, "pwgts"); - - if (mype == 0) { - for (i=0; i<nparts; i++) - for (h=0; h<ncon; h++) - pwgts[i*ncon+h] = RandomInRange(20)+1; - } - - MPI_Bcast((void *)pwgts, nparts*ncon, IDX_DATATYPE, 0, comm); - - for (i=0; i<nvtxs; i++) - for (h=0; h<ncon; h++) - vwgt[i*ncon+h] = pwgts[part[i]*ncon+h]; - - free(pwgts); - return; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/io.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/io.c deleted file mode 100644 index 2f1822f..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/io.c +++ /dev/null @@ -1,951 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * pio.c - * - * This file contains routines related to I/O - * - * Started 10/19/94 - * George - * - * $Id: io.c,v 1.1 2003/07/22 21:47:18 karypis Exp $ - * - */ - -#include <parmetisbin.h> -#define MAXLINE 8192 - -/************************************************************************* -* This function reads the CSR matrix -**************************************************************************/ -void ParallelReadGraph(GraphType *graph, char *filename, MPI_Comm comm) -{ - int i, k, l, pe; - int npes, mype, ier; - int gnvtxs, nvtxs, your_nvtxs, your_nedges, gnedges; - int maxnvtxs = -1, maxnedges = -1; - int readew = -1, readvw = -1, dummy, edge; - idxtype *vtxdist, *xadj, *adjncy, *vwgt, *adjwgt; - idxtype *your_xadj, *your_adjncy, *your_vwgt, *your_adjwgt, graphinfo[4]; - int fmt, ncon, nobj; - MPI_Status stat; - char *line = NULL, *oldstr, *newstr; - FILE *fpin = NULL; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - vtxdist = graph->vtxdist = idxsmalloc(npes+1, 0, "ReadGraph: vtxdist"); - - if (mype == npes-1) { - ier = 0; - fpin = fopen(filename, "r"); - - if (fpin == NULL){ - printf("COULD NOT OPEN FILE '%s' FOR SOME REASON!\n", filename); - ier++; - } - - MPI_Bcast(&ier, 1, MPI_INT, npes-1, comm); - if (ier > 0){ - MPI_Finalize(); - exit(0); - } - - line = (char *)GKmalloc(sizeof(char)*(MAXLINE+1), "line"); - - do { - fgets(line, MAXLINE, fpin); - } while (line[0] == '%' && !feof(fpin)); - - fmt = ncon = nobj = 0; - sscanf(line, "%d %d %d %d %d", &gnvtxs, &gnedges, &fmt, &ncon, &nobj); - gnedges *=2; - readew = (fmt%10 > 0); - readvw = ((fmt/10)%10 > 0); - graph->ncon = ncon = (ncon == 0 ? 1 : ncon); - graph->nobj = nobj = (nobj == 0 ? 1 : nobj); - -/* printf("Nvtxs: %d, Nedges: %d, Ncon: %d\n", gnvtxs, gnedges, ncon); */ - - graphinfo[0] = ncon; - graphinfo[1] = nobj; - graphinfo[2] = readvw; - graphinfo[3] = readew; - MPI_Bcast((void *)graphinfo, 4, IDX_DATATYPE, npes-1, comm); - - /* Construct vtxdist and send it to all the processors */ - vtxdist[0] = 0; - for (i=0,k=gnvtxs; i<npes; i++) { - l = k/(npes-i); - vtxdist[i+1] = vtxdist[i]+l; - k -= l; - } - - MPI_Bcast((void *)vtxdist, npes+1, IDX_DATATYPE, npes-1, comm); - } - else { - MPI_Bcast(&ier, 1, MPI_INT, npes-1, comm); - if (ier > 0){ - MPI_Finalize(); - exit(0); - } - - MPI_Bcast((void *)graphinfo, 4, IDX_DATATYPE, npes-1, comm); - graph->ncon = ncon = graphinfo[0]; - graph->nobj = nobj = graphinfo[1]; - readvw = graphinfo[2]; - readew = graphinfo[3]; - - MPI_Bcast((void *)vtxdist, npes+1, IDX_DATATYPE, npes-1, comm); - } - - if ((ncon > 1 && !readvw) || (nobj > 1 && !readew)) { - printf("fmt and ncon/nobj are inconsistant. Exiting...\n"); - MPI_Finalize(); - exit(-1); - } - - graph->gnvtxs = vtxdist[npes]; - nvtxs = graph->nvtxs = vtxdist[mype+1]-vtxdist[mype]; - xadj = graph->xadj = idxmalloc(graph->nvtxs+1, "ParallelReadGraph: xadj"); - vwgt = graph->vwgt = idxmalloc(graph->nvtxs*ncon, "ParallelReadGraph: vwgt"); - /*******************************************/ - /* Go through first time and generate xadj */ - /*******************************************/ - if (mype == npes-1) { - maxnvtxs = 0; - for (i=0; i<npes; i++) { - maxnvtxs = (maxnvtxs < vtxdist[i+1]-vtxdist[i]) ? - vtxdist[i+1]-vtxdist[i] : maxnvtxs; - } - - your_xadj = idxmalloc(maxnvtxs+1, "your_xadj"); - your_vwgt = idxmalloc(maxnvtxs*ncon, "your_vwgt"); - - maxnedges = 0; - for (pe=0; pe<npes; pe++) { - idxset(maxnvtxs*ncon, 1, your_vwgt); - your_nvtxs = vtxdist[pe+1]-vtxdist[pe]; - for (i=0; i<your_nvtxs; i++) { - your_nedges = 0; - - do { - fgets(line, MAXLINE, fpin); - } while (line[0] == '%' && !feof(fpin)); - - oldstr = line; - newstr = NULL; - - if (readvw) { - for (l=0; l<ncon; l++) { - your_vwgt[i*ncon+l] = (int)strtol(oldstr, &newstr, 10); - oldstr = newstr; - } - } - - for (;;) { - edge = (int)strtol(oldstr, &newstr, 10) -1; - oldstr = newstr; - - if (edge < 0) - break; - - if (readew) { - for (l=0; l<nobj; l++) { - dummy = (int)strtol(oldstr, &newstr, 10); - oldstr = newstr; - } - } - your_nedges++; - } - your_xadj[i] = your_nedges; - } - - MAKECSR(i, your_nvtxs, your_xadj); - maxnedges = (maxnedges < your_xadj[your_nvtxs]) ? - your_xadj[your_nvtxs] : maxnedges; - - if (pe < npes-1) { - MPI_Send((void *)your_xadj, your_nvtxs+1, IDX_DATATYPE, pe, 0, comm); - MPI_Send((void *)your_vwgt, your_nvtxs*ncon, IDX_DATATYPE, pe, 1, comm); - } - else { - for (i=0; i<your_nvtxs+1; i++) - xadj[i] = your_xadj[i]; - for (i=0; i<your_nvtxs*ncon; i++) - vwgt[i] = your_vwgt[i]; - } - } - fclose(fpin); - GKfree(&your_xadj, &your_vwgt, LTERM); - } - else { - MPI_Recv((void *)xadj, nvtxs+1, IDX_DATATYPE, npes-1, 0, comm, &stat); - MPI_Recv((void *)vwgt, nvtxs*ncon, IDX_DATATYPE, npes-1, 1, comm, &stat); - } - - graph->nedges = xadj[nvtxs]; - adjncy = graph->adjncy = idxmalloc(xadj[nvtxs], "ParallelReadGraph: adjncy"); - adjwgt = graph->adjwgt = idxmalloc(xadj[nvtxs]*nobj, "ParallelReadGraph: adjwgt"); - /***********************************************/ - /* Now go through again and record adjncy data */ - /***********************************************/ - if (mype == npes-1) { - ier = 0; - fpin = fopen(filename, "r"); - - if (fpin == NULL){ - printf("COULD NOT OPEN FILE '%s' FOR SOME REASON!\n", filename); - ier++; - } - - MPI_Bcast(&ier, 1, MPI_INT, npes-1, comm); - if (ier > 0){ - MPI_Finalize(); - exit(0); - } - - /* get first line again */ - do { - fgets(line, MAXLINE, fpin); - } while (line[0] == '%' && !feof(fpin)); - - your_adjncy = idxmalloc(maxnedges, "your_adjncy"); - your_adjwgt = idxmalloc(maxnedges*nobj, "your_adjwgt"); - - for (pe=0; pe<npes; pe++) { - your_nedges = 0; - idxset(maxnedges*nobj, 1, your_adjwgt); - your_nvtxs = vtxdist[pe+1]-vtxdist[pe]; - for (i=0; i<your_nvtxs; i++) { - do { - fgets(line, MAXLINE, fpin); - } while (line[0] == '%' && !feof(fpin)); - - oldstr = line; - newstr = NULL; - - if (readvw) { - for (l=0; l<ncon; l++) { - dummy = (int)strtol(oldstr, &newstr, 10); - oldstr = newstr; - } - } - - for (;;) { - edge = (int)strtol(oldstr, &newstr, 10) -1; - oldstr = newstr; - - if (edge < 0) - break; - - your_adjncy[your_nedges] = edge; - if (readew) { - for (l=0; l<nobj; l++) { - your_adjwgt[your_nedges*nobj+l] = (int)strtol(oldstr, &newstr, 10); - oldstr = newstr; - } - } - your_nedges++; - - } - } - if (pe < npes-1) { - MPI_Send((void *)your_adjncy, your_nedges, IDX_DATATYPE, pe, 0, comm); - MPI_Send((void *)your_adjwgt, your_nedges*nobj, IDX_DATATYPE, pe, 1, comm); - } - else { - for (i=0; i<your_nedges; i++) - adjncy[i] = your_adjncy[i]; - for (i=0; i<your_nedges*nobj; i++) - adjwgt[i] = your_adjwgt[i]; - } - } - fclose(fpin); - GKfree(&your_adjncy, &your_adjwgt, &line, LTERM); - } - else { - MPI_Bcast(&ier, 1, MPI_INT, npes-1, comm); - if (ier > 0){ - MPI_Finalize(); - exit(0); - } - - MPI_Recv((void *)adjncy, xadj[nvtxs], IDX_DATATYPE, npes-1, 0, comm, &stat); - MPI_Recv((void *)adjwgt, xadj[nvtxs]*nobj, IDX_DATATYPE, npes-1, 1, comm, &stat); - } - -} - - - -/************************************************************************* -* This function writes a distributed graph to file -**************************************************************************/ -void Moc_ParallelWriteGraph(CtrlType *ctrl, GraphType *graph, char *filename, - int nparts, int testset) -{ - int h, i, j; - int npes, mype, penum, gnedges; - char partfile[256]; - FILE *fpin; - MPI_Comm comm; - - comm = ctrl->comm; - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - gnedges = GlobalSESum(ctrl, graph->nedges); - sprintf(partfile, "%s.%d.%d.%d", filename, testset, graph->ncon, nparts); - - if (mype == 0) { - if ((fpin = fopen(partfile, "w")) == NULL) - errexit("Failed to open file %s", partfile); - - fprintf(fpin, "%d %d %d %d %d\n", graph->gnvtxs, gnedges/2, 11, graph->ncon, 1); - fclose(fpin); - } - - MPI_Barrier(comm); - for (penum=0; penum<npes; penum++) { - if (mype == penum) { - - if ((fpin = fopen(partfile, "a")) == NULL) - errexit("Failed to open file %s", partfile); - - for (i=0; i<graph->nvtxs; i++) { - for (h=0; h<graph->ncon; h++) - fprintf(fpin, "%d ", graph->vwgt[i*graph->ncon+h]); - - for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) { - fprintf(fpin, "%d ", graph->adjncy[j]+1); - fprintf(fpin, "%d ", graph->adjwgt[j]); - } - fprintf(fpin, "\n"); - } - fclose(fpin); - } - MPI_Barrier(comm); - } - - return; -} - - -/************************************************************************* -* This function reads the CSR matrix -**************************************************************************/ -void ReadTestGraph(GraphType *graph, char *filename, MPI_Comm comm) -{ - int i, k, l, npes, mype; - int nvtxs, penum, snvtxs; - idxtype *gxadj, *gadjncy; - idxtype *vtxdist, *sxadj, *ssize = NULL; - MPI_Status status; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - vtxdist = graph->vtxdist = idxsmalloc(npes+1, 0, "ReadGraph: vtxdist"); - - if (mype == 0) { - ssize = idxsmalloc(npes, 0, "ReadGraph: ssize"); - - ReadMetisGraph(filename, &nvtxs, &gxadj, &gadjncy); - - printf("Nvtxs: %d, Nedges: %d\n", nvtxs, gxadj[nvtxs]); - - /* Construct vtxdist and send it to all the processors */ - vtxdist[0] = 0; - for (i=0,k=nvtxs; i<npes; i++) { - l = k/(npes-i); - vtxdist[i+1] = vtxdist[i]+l; - k -= l; - } - } - - MPI_Bcast((void *)vtxdist, npes+1, IDX_DATATYPE, 0, comm); - - graph->gnvtxs = vtxdist[npes]; - graph->nvtxs = vtxdist[mype+1]-vtxdist[mype]; - graph->xadj = idxmalloc(graph->nvtxs+1, "ReadGraph: xadj"); - - if (mype == 0) { - for (penum=0; penum<npes; penum++) { - snvtxs = vtxdist[penum+1]-vtxdist[penum]; - sxadj = idxmalloc(snvtxs+1, "ReadGraph: sxadj"); - - idxcopy(snvtxs+1, gxadj+vtxdist[penum], sxadj); - for (i=snvtxs; i>=0; i--) - sxadj[i] -= sxadj[0]; - - ssize[penum] = gxadj[vtxdist[penum+1]] - gxadj[vtxdist[penum]]; - - if (penum == mype) - idxcopy(snvtxs+1, sxadj, graph->xadj); - else - MPI_Send((void *)sxadj, snvtxs+1, IDX_DATATYPE, penum, 1, comm); - - free(sxadj); - } - } - else - MPI_Recv((void *)graph->xadj, graph->nvtxs+1, IDX_DATATYPE, 0, 1, comm, &status); - - - graph->nedges = graph->xadj[graph->nvtxs]; - graph->adjncy = idxmalloc(graph->nedges, "ReadGraph: graph->adjncy"); - - if (mype == 0) { - for (penum=0; penum<npes; penum++) { - if (penum == mype) - idxcopy(ssize[penum], gadjncy+gxadj[vtxdist[penum]], graph->adjncy); - else - MPI_Send((void *)(gadjncy+gxadj[vtxdist[penum]]), ssize[penum], IDX_DATATYPE, penum, 1, comm); - } - - free(ssize); - } - else - MPI_Recv((void *)graph->adjncy, graph->nedges, IDX_DATATYPE, 0, 1, comm, &status); - - graph->vwgt = NULL; - graph->adjwgt = NULL; - - if (mype == 0) - GKfree(&gxadj, &gadjncy, LTERM); - - MALLOC_CHECK(NULL); -} - - - -/************************************************************************* -* This function reads the CSR matrix -**************************************************************************/ -float *ReadTestCoordinates(GraphType *graph, char *filename, int ndims, MPI_Comm comm) -{ - int i, j, k, npes, mype, penum; - float *xyz, *txyz; - FILE *fpin; - idxtype *vtxdist; - MPI_Status status; - char xyzfile[256]; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - vtxdist = graph->vtxdist; - - xyz = fmalloc(graph->nvtxs*ndims, "io"); - - if (mype == 0) { - sprintf(xyzfile, "%s.xyz", filename); - if ((fpin = fopen(xyzfile, "r")) == NULL) - errexit("Failed to open file %s\n", xyzfile); - } - - if (mype == 0) { - txyz = fmalloc(2*graph->nvtxs*ndims, "io"); - - for (penum=0; penum<npes; penum++) { - for (k=0, i=vtxdist[penum]; i<vtxdist[penum+1]; i++, k++) { - for (j=0; j<ndims; j++) - fscanf(fpin, "%e ", txyz+k*ndims+j); - } - - if (penum == mype) - memcpy((void *)xyz, (void *)txyz, sizeof(float)*ndims*k); - else { - MPI_Send((void *)txyz, ndims*k, MPI_FLOAT, penum, 1, comm); - } - } - free(txyz); - fclose(fpin); - } - else - MPI_Recv((void *)xyz, ndims*graph->nvtxs, MPI_FLOAT, 0, 1, comm, &status); - - return xyz; -} - - - -/************************************************************************* -* This function reads the spd matrix -**************************************************************************/ -void ReadMetisGraph(char *filename, int *r_nvtxs, idxtype **r_xadj, idxtype **r_adjncy) -{ - int i, k, edge, nvtxs, nedges; - idxtype *xadj, *adjncy; - char *line, *oldstr, *newstr; - FILE *fpin; - - line = (char *)malloc(sizeof(char)*(8192+1)); - - if ((fpin = fopen(filename, "r")) == NULL) { - printf("Failed to open file %s\n", filename); - exit(0); - } - - fgets(line, 8192, fpin); - sscanf(line, "%d %d", &nvtxs, &nedges); - nedges *=2; - - xadj = idxmalloc(nvtxs+1, "ReadGraph: xadj"); - adjncy = idxmalloc(nedges, "ReadGraph: adjncy"); - - /* Start reading the graph file */ - for (xadj[0]=0, k=0, i=0; i<nvtxs; i++) { - fgets(line, 8192, fpin); - oldstr = line; - newstr = NULL; - - for (;;) { - edge = (int)strtol(oldstr, &newstr, 10) -1; - oldstr = newstr; - - if (edge < 0) - break; - - adjncy[k++] = edge; - } - xadj[i+1] = k; - } - - fclose(fpin); - - free(line); - - *r_nvtxs = nvtxs; - *r_xadj = xadj; - *r_adjncy = adjncy; -} - - -/************************************************************************* -* This function reads the CSR matrix -**************************************************************************/ -void Moc_SerialReadGraph(GraphType *graph, char *filename, int *wgtflag, MPI_Comm comm) -{ - int i, k, l, npes, mype; - int nvtxs, ncon, nobj, fmt; - int penum, snvtxs; - idxtype *gxadj, *gadjncy, *gvwgt, *gadjwgt; - idxtype *vtxdist, *sxadj, *ssize = NULL; - MPI_Status status; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - vtxdist = graph->vtxdist = idxsmalloc(npes+1, 0, "ReadGraph: vtxdist"); - - if (mype == 0) { - ssize = idxsmalloc(npes, 0, "ReadGraph: ssize"); - - Moc_SerialReadMetisGraph(filename, &nvtxs, &ncon, &nobj, &fmt, &gxadj, &gvwgt, - &gadjncy, &gadjwgt, wgtflag); - - printf("Nvtxs: %d, Nedges: %d\n", nvtxs, gxadj[nvtxs]); - - /* Construct vtxdist and send it to all the processors */ - vtxdist[0] = 0; - for (i=0,k=nvtxs; i<npes; i++) { - l = k/(npes-i); - vtxdist[i+1] = vtxdist[i]+l; - k -= l; - } - } - - MPI_Bcast((void *)(&fmt), 1, MPI_INT, 0, comm); - MPI_Bcast((void *)(&ncon), 1, MPI_INT, 0, comm); - MPI_Bcast((void *)(&nobj), 1, MPI_INT, 0, comm); - MPI_Bcast((void *)(wgtflag), 1, MPI_INT, 0, comm); - MPI_Bcast((void *)vtxdist, npes+1, IDX_DATATYPE, 0, comm); - - graph->gnvtxs = vtxdist[npes]; - graph->nvtxs = vtxdist[mype+1]-vtxdist[mype]; - graph->ncon = ncon; - graph->xadj = idxmalloc(graph->nvtxs+1, "ReadGraph: xadj"); - /*************************************************/ - /* distribute xadj array */ - if (mype == 0) { - for (penum=0; penum<npes; penum++) { - snvtxs = vtxdist[penum+1]-vtxdist[penum]; - sxadj = idxmalloc(snvtxs+1, "ReadGraph: sxadj"); - - idxcopy(snvtxs+1, gxadj+vtxdist[penum], sxadj); - for (i=snvtxs; i>=0; i--) - sxadj[i] -= sxadj[0]; - - ssize[penum] = gxadj[vtxdist[penum+1]] - gxadj[vtxdist[penum]]; - - if (penum == mype) - idxcopy(snvtxs+1, sxadj, graph->xadj); - else - MPI_Send((void *)sxadj, snvtxs+1, IDX_DATATYPE, penum, 1, comm); - - free(sxadj); - } - } - else - MPI_Recv((void *)graph->xadj, graph->nvtxs+1, IDX_DATATYPE, 0, 1, comm, - &status); - - - - graph->nedges = graph->xadj[graph->nvtxs]; - graph->adjncy = idxmalloc(graph->nedges, "ReadGraph: graph->adjncy"); - /*************************************************/ - /* distribute adjncy array */ - if (mype == 0) { - for (penum=0; penum<npes; penum++) { - if (penum == mype) - idxcopy(ssize[penum], gadjncy+gxadj[vtxdist[penum]], graph->adjncy); - else - MPI_Send((void *)(gadjncy+gxadj[vtxdist[penum]]), ssize[penum], - IDX_DATATYPE, penum, 1, comm); - } - - } - else - MPI_Recv((void *)graph->adjncy, graph->nedges, IDX_DATATYPE, 0, 1, comm, - &status); - - - graph->adjwgt = idxmalloc(graph->nedges*nobj, "ReadGraph: graph->adjwgt"); - if (fmt%10 > 0) { - /*************************************************/ - /* distribute adjwgt array */ - if (mype == 0) { - for (penum=0; penum<npes; penum++) { - ssize[penum] *= nobj; - if (penum == mype) - idxcopy(ssize[penum], gadjwgt+(gxadj[vtxdist[penum]]*nobj), graph->adjwgt); - else - MPI_Send((void *)(gadjwgt+(gxadj[vtxdist[penum]]*nobj)), ssize[penum], - IDX_DATATYPE, penum, 1, comm); - } - - } - else - MPI_Recv((void *)graph->adjwgt, graph->nedges*nobj, IDX_DATATYPE, 0, 1, - comm, &status); - - } - else { - for (i=0; i<graph->nedges*nobj; i++) - graph->adjwgt[i] = 1; - } - - graph->vwgt = idxmalloc(graph->nvtxs*ncon, "ReadGraph: graph->vwgt"); - if ((fmt/10)%10 > 0) { - /*************************************************/ - /* distribute vwgt array */ - - if (mype == 0) { - for (penum=0; penum<npes; penum++) { - ssize[penum] = (vtxdist[penum+1]-vtxdist[penum])*ncon; - - if (penum == mype) - idxcopy(ssize[penum], gvwgt+(vtxdist[penum]*ncon), graph->vwgt); - else - MPI_Send((void *)(gvwgt+(vtxdist[penum]*ncon)), ssize[penum], - IDX_DATATYPE, penum, 1, comm); - } - - free(ssize); - } - else - MPI_Recv((void *)graph->vwgt, graph->nvtxs*ncon, IDX_DATATYPE, 0, 1, - comm, &status); - - } - else { - for (i=0; i<graph->nvtxs*ncon; i++) - graph->vwgt[i] = 1; - } - - if (mype == 0) - GKfree((void *)&gxadj, (void *)&gadjncy, (void *)&gvwgt, (void *)&gadjwgt, LTERM); - - MALLOC_CHECK(NULL); -} - - - -/************************************************************************* -* This function reads the spd matrix -**************************************************************************/ -void Moc_SerialReadMetisGraph(char *filename, int *r_nvtxs, int *r_ncon, int *r_nobj, - int *r_fmt, idxtype **r_xadj, idxtype **r_vwgt, idxtype **r_adjncy, - idxtype **r_adjwgt, int *wgtflag) -{ - int i, k, l; - int ncon, nobj, edge, nvtxs, nedges; - idxtype *xadj, *adjncy, *vwgt, *adjwgt; - char *line, *oldstr, *newstr; - int fmt, readew, readvw; - int ewgt[MAXNOBJ]; - FILE *fpin; - - line = (char *)GKmalloc(sizeof(char)*(8192+1), "line"); - - if ((fpin = fopen(filename, "r")) == NULL) { - printf("Failed to open file %s\n", filename); - exit(-1); - } - - fgets(line, 8192, fpin); - fmt = ncon = nobj = 0; - sscanf(line, "%d %d %d %d %d", &nvtxs, &nedges, &fmt, &ncon, &nobj); - readew = (fmt%10 > 0); - readvw = ((fmt/10)%10 > 0); - - *wgtflag = 0; - if (readew) - *wgtflag += 1; - if (readvw) - *wgtflag += 2; - - if ((ncon > 0 && !readvw) || (nobj > 0 && !readew)) { - printf("fmt and ncon/nobj are inconsistant.\n"); - exit(-1); - } - - nedges *=2; - ncon = (ncon == 0 ? 1 : ncon); - nobj = (nobj == 0 ? 1 : nobj); - - xadj = idxmalloc(nvtxs+1, "ReadGraph: xadj"); - adjncy = idxmalloc(nedges, "Moc_ReadGraph: adjncy"); - vwgt = (readvw ? idxmalloc(ncon*nvtxs, "RG: vwgt") : NULL); - adjwgt = (readew ? idxmalloc(nobj*nedges, "RG: adjwgt") : NULL); - - /* Start reading the graph file */ - for (xadj[0]=0, k=0, i=0; i<nvtxs; i++) { - do { - fgets(line, 8192, fpin); - } while (line[0] == '%' && !feof(fpin)); - oldstr = line; - newstr = NULL; - - if (readvw) { - for (l=0; l<ncon; l++) { - vwgt[i*ncon+l] = (int)strtol(oldstr, &newstr, 10); - oldstr = newstr; - } - } - - for (;;) { - edge = (int)strtol(oldstr, &newstr, 10) -1; - oldstr = newstr; - - if (readew) { - for (l=0; l<nobj; l++) { - ewgt[l] = (float)strtod(oldstr, &newstr); - oldstr = newstr; - } - } - - if (edge < 0) - break; - - adjncy[k] = edge; - if (readew) - for (l=0; l<nobj; l++) - adjwgt[k*nobj+l] = ewgt[l]; - k++; - } - xadj[i+1] = k; - } - - fclose(fpin); - - free(line); - - *r_nvtxs = nvtxs; - *r_ncon = ncon; - *r_nobj = nobj; - *r_fmt = fmt; - *r_xadj = xadj; - *r_vwgt = vwgt; - *r_adjncy = adjncy; - *r_adjwgt = adjwgt; -} - - - - -/************************************************************************* -* This function writes out a partition vector -**************************************************************************/ -void WritePVector(char *gname, idxtype *vtxdist, idxtype *part, MPI_Comm comm) -{ - int i, j, k, l, rnvtxs, npes, mype, penum; - FILE *fpin; - idxtype *rpart; - char partfile[256]; - MPI_Status status; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - if (mype == 0) { - sprintf(partfile, "%s.part", gname); - if ((fpin = fopen(partfile, "w")) == NULL) - errexit("Failed to open file %s", partfile); - - for (i=0; i<vtxdist[1]; i++) - fprintf(fpin, "%d\n", part[i]); - - for (penum=1; penum<npes; penum++) { - rnvtxs = vtxdist[penum+1]-vtxdist[penum]; - rpart = idxmalloc(rnvtxs, "rpart"); - MPI_Recv((void *)rpart, rnvtxs, IDX_DATATYPE, penum, 1, comm, &status); - - for (i=0; i<rnvtxs; i++) - fprintf(fpin, "%d\n", rpart[i]); - - free(rpart); - } - fclose(fpin); - } - else - MPI_Send((void *)part, vtxdist[mype+1]-vtxdist[mype], IDX_DATATYPE, 0, 1, comm); - -} - - -/************************************************************************* -* This function reads a mesh from a file -**************************************************************************/ -void ParallelReadMesh(MeshType *mesh, char *filename, MPI_Comm comm) -{ - int i, j, k, pe; - int npes, mype, ier; - int gnelms, nelms, your_nelms, etype, maxnelms; - int maxnode, gmaxnode, minnode, gminnode; - idxtype *elmdist, *elements; - idxtype *your_elements; - MPI_Status stat; - char *line = NULL, *oldstr, *newstr; - FILE *fpin = NULL; - int esize, esizes[5] = {-1, 3, 4, 8, 4}; - int mgcnum, mgcnums[5] = {-1, 2, 3, 4, 2}; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - elmdist = mesh->elmdist = idxsmalloc(npes+1, 0, "ReadGraph: elmdist"); - - if (mype == npes-1) { - ier = 0; - fpin = fopen(filename, "r"); - - if (fpin == NULL){ - printf("COULD NOT OPEN FILE '%s' FOR SOME REASON!\n", filename); - ier++; - } - - MPI_Bcast(&ier, 1, MPI_INT, npes-1, comm); - if (ier > 0){ - fclose(fpin); - MPI_Finalize(); - exit(0); - } - - line = (char *)GKmalloc(sizeof(char)*(MAXLINE+1), "line"); - - fgets(line, MAXLINE, fpin); - sscanf(line, "%d %d", &gnelms, &etype); - - /* Construct elmdist and send it to all the processors */ - elmdist[0] = 0; - for (i=0,j=gnelms; i<npes; i++) { - k = j/(npes-i); - elmdist[i+1] = elmdist[i]+k; - j -= k; - } - - MPI_Bcast((void *)elmdist, npes+1, IDX_DATATYPE, npes-1, comm); - } - else { - MPI_Bcast(&ier, 1, MPI_INT, npes-1, comm); - if (ier > 0){ - MPI_Finalize(); - exit(0); - } - - MPI_Bcast((void *)elmdist, npes+1, IDX_DATATYPE, npes-1, comm); - } - - MPI_Bcast((void *)(&etype), 1, MPI_INT, npes-1, comm); - - gnelms = mesh->gnelms = elmdist[npes]; - nelms = mesh->nelms = elmdist[mype+1]-elmdist[mype]; - mesh->etype = etype; - esize = esizes[etype]; - mgcnum = mgcnums[etype]; - - elements = mesh->elements = idxmalloc(nelms*esize, "ParallelReadMesh: elements"); - - if (mype == npes-1) { - maxnelms = 0; - for (i=0; i<npes; i++) { - maxnelms = (maxnelms > elmdist[i+1]-elmdist[i]) ? - maxnelms : elmdist[i+1]-elmdist[i]; - } - - your_elements = idxmalloc(maxnelms*esize, "your_elements"); - - for (pe=0; pe<npes; pe++) { - your_nelms = elmdist[pe+1]-elmdist[pe]; - for (i=0; i<your_nelms; i++) { - - fgets(line, MAXLINE, fpin); - oldstr = line; - newstr = NULL; - - /*************************************/ - /* could get element weigts here too */ - /*************************************/ - - for (j=0; j<esize; j++) { - your_elements[i*esize+j] = (int)strtol(oldstr, &newstr, 10); - oldstr = newstr; - } - } - - if (pe < npes-1) { - MPI_Send((void *)your_elements, your_nelms*esize, IDX_DATATYPE, pe, 0, comm); - } - else { - for (i=0; i<your_nelms*esize; i++) - elements[i] = your_elements[i]; - } - } - fclose(fpin); - free(your_elements); - } - else { - MPI_Recv((void *)elements, nelms*esize, IDX_DATATYPE, npes-1, 0, comm, &stat); - } - - /*********************************/ - /* now check for number of nodes */ - /*********************************/ - minnode = elements[idxamin(nelms*esize, elements)]; - MPI_Allreduce((void *)&minnode, (void *)&gminnode, 1, MPI_INT, MPI_MIN, comm); - for (i=0; i<nelms*esize; i++) - elements[i] -= gminnode; - - maxnode = elements[idxamax(nelms*esize, elements)]; - MPI_Allreduce((void *)&maxnode, (void *)&gmaxnode, 1, MPI_INT, MPI_MAX, comm); - mesh->gnns = gmaxnode+1; - - if (mype==0) printf("Nelements: %d, Nnodes: %d, EType: %d\n", gnelms, mesh->gnns, etype); -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/mtest.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/mtest.c deleted file mode 100644 index 9aa2f7d..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/mtest.c +++ /dev/null @@ -1,96 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * main.c - * - * This file contains code for testing teh adaptive partitioning routines - * - * Started 5/19/97 - * George - * - * $Id: mtest.c,v 1.3 2003/07/25 14:31:47 karypis Exp $ - * - */ - -#include <parmetisbin.h> - - -/************************************************************************* -* Let the game begin -**************************************************************************/ -int main(int argc, char *argv[]) -{ - int i, mype, npes, nelms; - idxtype *part, *eptr; - MeshType mesh; - MPI_Comm comm; - int wgtflag, numflag, edgecut, nparts, options[10]; - int mgcnum = -1, mgcnums[5] = {-1, 2, 3, 4, 2}, esizes[5] = {-1, 3, 4, 8, 4}; - float *tpwgts, ubvec[MAXNCON]; - - MPI_Init(&argc, &argv); - MPI_Comm_dup(MPI_COMM_WORLD, &comm); - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - if (argc < 2) { - if (mype == 0) - printf("Usage: %s <mesh-file> [NCommonNodes]\n", argv[0]); - - MPI_Finalize(); - exit(0); - } - - ParallelReadMesh(&mesh, argv[1], comm); - mgcnum = mgcnums[mesh.etype]; - mesh.ncon = 1; - - if (argc > 2) - mgcnum = atoi(argv[2]); - - if (mype == 0) printf("MGCNUM: %d\n", mgcnum); - - nparts = npes; - tpwgts = fmalloc(nparts*mesh.ncon, "tpwgts"); - for (i=0; i<nparts*mesh.ncon; i++) - tpwgts[i] = 1.0/(float)(nparts); - - for (i=0; i<mesh.ncon; i++) - ubvec[i] = UNBALANCE_FRACTION; - - part = idxmalloc(mesh.nelms, "part"); - - numflag = wgtflag = 0; - options[0] = 1; - options[PMV3_OPTION_DBGLVL] = 7; - options[PMV3_OPTION_SEED] = 0; - - nelms = mesh.elmdist[mype+1]-mesh.elmdist[mype]; - eptr = idxsmalloc(nelms+1, esizes[mesh.etype], "main; eptr"); - MAKECSR(i, nelms, eptr); - eptr[nelms]--; /* make the last element different */ - ParMETIS_V3_PartMeshKway(mesh.elmdist, eptr, mesh.elements, NULL, &wgtflag, - &numflag, &(mesh.ncon), &mgcnum, &nparts, tpwgts, ubvec, options, - &edgecut, part, &comm); - -/* - graph = ParallelMesh2Dual(&mesh, mgcnum, comm); - MPI_Barrier(comm); - - MPI_Allreduce((void *)&(graph->nedges), (void *)&gnedges, 1, MPI_INT, MPI_SUM, comm); - if (mype == 0) - printf("Completed Dual Graph -- Nvtxs: %d, Nedges: %d\n", graph->gnvtxs, gnedges/2); - - numflag = wgtflag = 0; - ParMETIS_V3_PartKway(graph->vtxdist, graph->xadj, graph->adjncy, NULL, NULL, &wgtflag, - &numflag, &(graph->ncon), &nparts, tpwgts, ubvec, options, &edgecut, part, &comm); - GKfree((void *)&(graph.vtxdist), (void *)&(graph.xadj), (void *)&(graph.vwgt), (void *)&(graph.adjncy), (void *)&(graph.adjwgt), LTERM); -*/ - - GKfree((void *)&part, (void *)&tpwgts, (void *)&eptr, LTERM); - MPI_Comm_free(&comm); - MPI_Finalize(); - return 0; -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/parmetisbin.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/parmetisbin.h deleted file mode 100644 index d331af3..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/parmetisbin.h +++ /dev/null @@ -1,31 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * par_metis.h - * - * This file includes all necessary header files - * - * Started 8/27/94 - * George - * - * $Id: parmetisbin.h,v 1.1 2003/07/21 17:50:23 karypis Exp $ - */ - -/* -#define DEBUG 1 -#define DMALLOC 1 -*/ - -#include <stdheaders.h> -#include "../parmetis.h" - -#ifdef DMALLOC -#include <dmalloc.h> -#endif - -#include <rename.h> -#include <defs.h> -#include <struct.h> -#include <macros.h> -#include <proto.h> - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/ptest.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/ptest.c deleted file mode 100644 index 2eb8baa..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Programs/ptest.c +++ /dev/null @@ -1,477 +0,0 @@ -/* - * Copyright 1997, Regents of the University of Minnesota - * - * main.c - * - * This file contains code for testing teh adaptive partitioning routines - * - * Started 5/19/97 - * George - * - * $Id: ptest.c,v 1.3 2003/07/22 21:47:20 karypis Exp $ - * - */ - -#include <parmetisbin.h> - - -/************************************************************************* -* Let the game begin -**************************************************************************/ -int main(int argc, char *argv[]) -{ - int mype, npes; - MPI_Comm comm; - - MPI_Init(&argc, &argv); - MPI_Comm_dup(MPI_COMM_WORLD, &comm); - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - if (argc != 2) { - if (mype == 0) - printf("Usage: %s <graph-file>\n", argv[0]); - - MPI_Finalize(); - exit(0); - } - - TestParMetis_V3(argv[1], comm); - - MPI_Comm_free(&comm); - - MPI_Finalize(); - - return 0; -} - - - -/*********************************************************************************** -* This function is the testing routine for the adaptive multilevel partitioning code. -* It computes a partition from scratch, it then moves the graph and changes some -* of the vertex weights and then call the adaptive code. -************************************************************************************/ -void TestParMetis_V3(char *filename, MPI_Comm comm) -{ - int ncon, nparts, npes, mype, opt2, realcut; - GraphType graph, mgraph; - idxtype *part, *mpart, *savepart, *order, *sizes; - int numflag=0, wgtflag=0, options[10], edgecut, ndims; - float ipc2redist, *xyz, *tpwgts = NULL, ubvec[MAXNCON]; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - ndims = 2; - - ParallelReadGraph(&graph, filename, comm); - xyz = ReadTestCoordinates(&graph, filename, 2, comm); - MPI_Barrier(comm); - - part = idxmalloc(graph.nvtxs, "TestParMetis_V3: part"); - tpwgts = fmalloc(MAXNCON*npes*2, "TestParMetis_V3: tpwgts"); - sset(MAXNCON, 1.05, ubvec); - graph.vwgt = idxsmalloc(graph.nvtxs*5, 1, "TestParMetis_V3: vwgt"); - - - /*====================================================================== - / ParMETIS_V3_PartKway - /=======================================================================*/ - options[0] = 1; - options[1] = 3; - options[2] = 1; - wgtflag = 2; - numflag = 0; - edgecut = 0; - for (nparts=2*npes; nparts>=npes/2 && nparts > 0; nparts = nparts/2) { - for (ncon=1; ncon<=5; ncon+=2) { - - if (ncon > 1 && nparts > 1) - Mc_AdaptGraph(&graph, part, ncon, nparts, comm); - else - idxset(graph.nvtxs, 1, graph.vwgt); - - for (opt2=1; opt2<=2; opt2++) { - options[2] = opt2; - - sset(nparts*ncon, 1.0/(float)nparts, tpwgts); - if (mype == 0) - printf("\nTesting ParMETIS_V3_PartKway with options[1-2] = {%d %d}, Ncon: %d, Nparts: %d\n", options[1], options[2], ncon, nparts); - - ParMETIS_V3_PartKway(graph.vtxdist, graph.xadj, graph.adjncy, graph.vwgt, NULL, &wgtflag, - &numflag, &ncon, &nparts, tpwgts, ubvec, options, &edgecut, part, &comm); - - if (mype == 0) { - printf("ParMETIS_V3_PartKway reported a cut of %d\n", edgecut); - } - } - } - } - - - /*====================================================================== - / ParMETIS_V3_PartGeomKway - /=======================================================================*/ - options[0] = 1; - options[1] = 3; - wgtflag = 2; - numflag = 0; - for (nparts=2*npes; nparts>=npes/2 && nparts > 0; nparts = nparts/2) { - for (ncon=1; ncon<=5; ncon+=2) { - - if (ncon > 1) - Mc_AdaptGraph(&graph, part, ncon, nparts, comm); - else - idxset(graph.nvtxs, 1, graph.vwgt); - - for (opt2=1; opt2<=2; opt2++) { - options[2] = opt2; - - sset(nparts*ncon, 1.0/(float)nparts, tpwgts); - if (mype == 0) - printf("\nTesting ParMETIS_V3_PartGeomKway with options[1-2] = {%d %d}, Ncon: %d, Nparts: %d\n", options[1], options[2], ncon, nparts); - - ParMETIS_V3_PartGeomKway(graph.vtxdist, graph.xadj, graph.adjncy, graph.vwgt, NULL, &wgtflag, - &numflag, &ndims, xyz, &ncon, &nparts, tpwgts, ubvec, options, &edgecut, part, &comm); - - if (mype == 0) { - printf("ParMETIS_V3_PartGeomKway reported a cut of %d\n", edgecut); - } - } - } - } - - - - /*====================================================================== - / ParMETIS_V3_PartGeom - /=======================================================================*/ - wgtflag = 0; - numflag = 0; - if (mype == 0) - printf("\nTesting ParMETIS_V3_PartGeom\n"); - -/* ParMETIS_V3_PartGeom(graph.vtxdist, &ndims, xyz, part, &comm); */ - - if (mype == 0) - printf("ParMETIS_V3_PartGeom partition complete\n"); -/* - realcut = ComputeRealCut(graph.vtxdist, part, filename, comm); - if (mype == 0) - printf("ParMETIS_V3_PartGeom reported a cut of %d\n", realcut); -*/ - - /*====================================================================== - / ParMETIS_V3_RefineKway - /=======================================================================*/ - options[0] = 1; - options[1] = 3; - options[2] = 1; - options[3] = COUPLED; - nparts = npes; - wgtflag = 0; - numflag = 0; - ncon = 1; - sset(nparts*ncon, 1.0/(float)nparts, tpwgts); - - if (mype == 0) - printf("\nTesting ParMETIS_V3_RefineKway with default options (before move)\n"); - - ParMETIS_V3_RefineKway(graph.vtxdist, graph.xadj, graph.adjncy, NULL, NULL, &wgtflag, - &numflag, &ncon, &nparts, tpwgts, ubvec, options, &edgecut, part, &comm); - - MALLOC_CHECK(NULL); - - if (mype == 0) { - printf("ParMETIS_V3_RefineKway reported a cut of %d\n", edgecut); - } - - - MALLOC_CHECK(NULL); - - /* Compute a good partition and move the graph. Do so quietly! */ - options[0] = 0; - nparts = npes; - wgtflag = 0; - numflag = 0; - ncon = 1; - sset(nparts*ncon, 1.0/(float)nparts, tpwgts); - ParMETIS_V3_PartKway(graph.vtxdist, graph.xadj, graph.adjncy, NULL, NULL, &wgtflag, - &numflag, &ncon, &npes, tpwgts, ubvec, options, &edgecut, part, &comm); - TestMoveGraph(&graph, &mgraph, part, comm); - GKfree((void *)&(graph.vwgt), LTERM); - mpart = idxsmalloc(mgraph.nvtxs, mype, "TestParMetis_V3: mpart"); - savepart = idxmalloc(mgraph.nvtxs, "TestParMetis_V3: savepart"); - - MALLOC_CHECK(NULL); - - /*====================================================================== - / ParMETIS_V3_RefineKway - /=======================================================================*/ - options[0] = 1; - options[1] = 3; - options[3] = COUPLED; - nparts = npes; - wgtflag = 0; - numflag = 0; - - for (ncon=1; ncon<=5; ncon+=2) { - for (opt2=1; opt2<=2; opt2++) { - options[2] = opt2; - - sset(nparts*ncon, 1.0/(float)nparts, tpwgts); - if (mype == 0) - printf("\nTesting ParMETIS_V3_RefineKway with options[1-3] = {%d %d %d}, Ncon: %d, Nparts: %d\n", options[1], options[2], options[3], ncon, nparts); - ParMETIS_V3_RefineKway(mgraph.vtxdist, mgraph.xadj, mgraph.adjncy, NULL, NULL, &wgtflag, - &numflag, &ncon, &nparts, tpwgts, ubvec, options, &edgecut, mpart, &comm); - - if (mype == 0) { - printf("ParMETIS_V3_RefineKway reported a cut of %d\n", edgecut); - } - } - } - - - /*====================================================================== - / ParMETIS_V3_AdaptiveRepart - /=======================================================================*/ - mgraph.vwgt = idxsmalloc(mgraph.nvtxs*5, 1, "TestParMetis_V3: mgraph.vwgt"); - mgraph.vsize = idxsmalloc(mgraph.nvtxs, 1, "TestParMetis_V3: mgraph.vsize"); - AdaptGraph(&mgraph, 4, comm); - options[0] = 1; - options[1] = 7; - options[3] = COUPLED; - wgtflag = 2; - numflag = 0; - - for (nparts=2*npes; nparts>=npes/2; nparts = nparts/2) { - - ncon = 1; - wgtflag = 0; - options[0] = 0; - sset(nparts*ncon, 1.0/(float)nparts, tpwgts); - ParMETIS_V3_PartKway(mgraph.vtxdist, mgraph.xadj, mgraph.adjncy, NULL, NULL, - &wgtflag, &numflag, &ncon, &nparts, tpwgts, ubvec, options, &edgecut, savepart, &comm); - options[0] = 1; - wgtflag = 2; - - for (ncon=1; ncon<=3; ncon+=2) { - sset(nparts*ncon, 1.0/(float)nparts, tpwgts); - - if (ncon > 1) - Mc_AdaptGraph(&mgraph, savepart, ncon, nparts, comm); - else - AdaptGraph(&mgraph, 4, comm); -/* idxset(mgraph.nvtxs, 1, mgraph.vwgt); */ - - for (ipc2redist=1000.0; ipc2redist>=0.001; ipc2redist/=1000.0) { - for (opt2=1; opt2<=2; opt2++) { - idxcopy(mgraph.nvtxs, savepart, mpart); - options[2] = opt2; - - if (mype == 0) - printf("\nTesting ParMETIS_V3_AdaptiveRepart with options[1-3] = {%d %d %d}, ipc2redist: %.3f, Ncon: %d, Nparts: %d\n", options[1], options[2], options[3], ipc2redist, ncon, nparts); - - ParMETIS_V3_AdaptiveRepart(mgraph.vtxdist, mgraph.xadj, mgraph.adjncy, mgraph.vwgt, - mgraph.vsize, NULL, &wgtflag, &numflag, &ncon, &nparts, tpwgts, ubvec, &ipc2redist, - options, &edgecut, mpart, &comm); - - if (mype == 0) { - printf("ParMETIS_V3_AdaptiveRepart reported a cut of %d\n", edgecut); - } - } - } - } - } - - free(mgraph.vwgt); - free(mgraph.vsize); - - - - /*====================================================================== - / ParMETIS_V3_NodeND - /=======================================================================*/ - sizes = idxmalloc(2*npes, "TestParMetis_V3: sizes"); - order = idxmalloc(graph.nvtxs, "TestParMetis_V3: sizes"); - - options[0] = 1; - options[PMV3_OPTION_DBGLVL] = 3; - options[PMV3_OPTION_SEED] = 1; - numflag = 0; - - for (opt2=1; opt2<=2; opt2++) { - options[PMV3_OPTION_IPART] = opt2; - - if (mype == 0) - printf("\nTesting ParMETIS_V3_NodeND with options[1-3] = {%d %d %d}\n", options[1], options[2], options[3]); - - ParMETIS_V3_NodeND(graph.vtxdist, graph.xadj, graph.adjncy, &numflag, options, - order, sizes, &comm); - } - - - GKfree(&tpwgts, &part, &mpart, &savepart, &order, &sizes, LTERM); - -} - - - -/****************************************************************************** -* This function takes a partition vector that is distributed and reads in -* the original graph and computes the edgecut -*******************************************************************************/ -int ComputeRealCut(idxtype *vtxdist, idxtype *part, char *filename, MPI_Comm comm) -{ - int i, j, nvtxs, mype, npes, cut; - idxtype *xadj, *adjncy, *gpart; - MPI_Status status; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - if (mype != 0) { - MPI_Send((void *)part, vtxdist[mype+1]-vtxdist[mype], IDX_DATATYPE, 0, 1, comm); - } - else { /* Processor 0 does all the rest */ - gpart = idxmalloc(vtxdist[npes], "ComputeRealCut: gpart"); - idxcopy(vtxdist[1], part, gpart); - - for (i=1; i<npes; i++) - MPI_Recv((void *)(gpart+vtxdist[i]), vtxdist[i+1]-vtxdist[i], IDX_DATATYPE, i, 1, comm, &status); - - ReadMetisGraph(filename, &nvtxs, &xadj, &adjncy); - - /* OK, now compute the cut */ - for (cut=0, i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (gpart[i] != gpart[adjncy[j]]) - cut++; - } - } - cut = cut/2; - - GKfree(&gpart, &xadj, &adjncy, LTERM); - - return cut; - } - return 0; -} - - -/****************************************************************************** -* This function takes a partition vector that is distributed and reads in -* the original graph and computes the edgecut -*******************************************************************************/ -int ComputeRealCut2(idxtype *vtxdist, idxtype *mvtxdist, idxtype *part, idxtype *mpart, char *filename, MPI_Comm comm) -{ - int i, j, nvtxs, mype, npes, cut; - idxtype *xadj, *adjncy, *gpart, *gmpart, *perm, *sizes; - MPI_Status status; - - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - if (mype != 0) { - MPI_Send((void *)part, vtxdist[mype+1]-vtxdist[mype], IDX_DATATYPE, 0, 1, comm); - MPI_Send((void *)mpart, mvtxdist[mype+1]-mvtxdist[mype], IDX_DATATYPE, 0, 1, comm); - } - else { /* Processor 0 does all the rest */ - gpart = idxmalloc(vtxdist[npes], "ComputeRealCut: gpart"); - idxcopy(vtxdist[1], part, gpart); - gmpart = idxmalloc(mvtxdist[npes], "ComputeRealCut: gmpart"); - idxcopy(mvtxdist[1], mpart, gmpart); - - for (i=1; i<npes; i++) { - MPI_Recv((void *)(gpart+vtxdist[i]), vtxdist[i+1]-vtxdist[i], IDX_DATATYPE, i, 1, comm, &status); - MPI_Recv((void *)(gmpart+mvtxdist[i]), mvtxdist[i+1]-mvtxdist[i], IDX_DATATYPE, i, 1, comm, &status); - } - - /* OK, now go and reconstruct the permutation to go from the graph to mgraph */ - perm = idxmalloc(vtxdist[npes], "ComputeRealCut: perm"); - sizes = idxsmalloc(npes+1, 0, "ComputeRealCut: sizes"); - - for (i=0; i<vtxdist[npes]; i++) - sizes[gpart[i]]++; - MAKECSR(i, npes, sizes); - for (i=0; i<vtxdist[npes]; i++) - perm[i] = sizes[gpart[i]]++; - - /* Ok, now read the graph from the file */ - ReadMetisGraph(filename, &nvtxs, &xadj, &adjncy); - - /* OK, now compute the cut */ - for (cut=0, i=0; i<nvtxs; i++) { - for (j=xadj[i]; j<xadj[i+1]; j++) { - if (gmpart[perm[i]] != gmpart[perm[adjncy[j]]]) - cut++; - } - } - cut = cut/2; - - GKfree(&gpart, &gmpart, &perm, &sizes, &xadj, &adjncy, LTERM); - - return cut; - } - - return 0; -} - - - -/****************************************************************************** -* This function takes a graph and its partition vector and creates a new -* graph corresponding to the one after the movement -*******************************************************************************/ -void TestMoveGraph(GraphType *ograph, GraphType *omgraph, idxtype *part, MPI_Comm comm) -{ - int npes, mype; - CtrlType ctrl; - WorkSpaceType wspace; - GraphType *graph, *mgraph; - int options[5] = {0, 0, 1, 0, 0}; - - MPI_Comm_size(comm, &npes); - MPI_Comm_rank(comm, &mype); - - SetUpCtrl(&ctrl, npes, 0, comm); - ctrl.CoarsenTo = 1; /* Needed by SetUpGraph, otherwise we can FP errors */ - graph = SetUpGraph(&ctrl, ograph->vtxdist, ograph->xadj, NULL, ograph->adjncy, NULL, 0); - PreAllocateMemory(&ctrl, graph, &wspace); - - SetUp(&ctrl, graph, &wspace); - graph->where = part; - graph->ncon = 1; - mgraph = Moc_MoveGraph(&ctrl, graph, &wspace); - - omgraph->gnvtxs = mgraph->gnvtxs; - omgraph->nvtxs = mgraph->nvtxs; - omgraph->nedges = mgraph->nedges; - omgraph->vtxdist = mgraph->vtxdist; - omgraph->xadj = mgraph->xadj; - omgraph->adjncy = mgraph->adjncy; - mgraph->vtxdist = NULL; - mgraph->xadj = NULL; - mgraph->adjncy = NULL; - FreeGraph(mgraph); - - graph->where = NULL; - FreeInitialGraphAndRemap(graph, 0); - FreeWSpace(&wspace); -} - -/***************************************************************************** -* This function sets up a graph data structure for partitioning -*****************************************************************************/ -GraphType *SetUpGraph(CtrlType *ctrl, idxtype *vtxdist, idxtype *xadj, - idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, int wgtflag) -{ - int mywgtflag; - - mywgtflag = wgtflag; - return Moc_SetUpGraph(ctrl, 1, vtxdist, xadj, vwgt, adjncy, adjwgt, &mywgtflag); -} - - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/README b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/README deleted file mode 100644 index abcde38..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/README +++ /dev/null @@ -1,9 +0,0 @@ -This is ParMetis version 3.1. You can find the manual describing the -various routines in the directory 'Manual'. Also, the file called -INSTALL contains instructions on how to build and test ParMetis. - - -Please let me know of any problems that you have found with it. - -George Karypis diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/VERSION b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/VERSION deleted file mode 100644 index 1a26826..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/VERSION +++ /dev/null @@ -1,5 +0,0 @@ -ParMetis Version 3.1.0 Fri Aug 15 13:59:41 CDT 2003 -ParMetis Version 3.0.0 Wed Mar 27 23:56:38 CST 2002 -ParMetis Version 2.0.0 Tue Sep 22 18:58:31 CDT 1998 -ParMetis Version 1.0.2 Wed Apr 15 13:14:50 CDT 1998 - diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/parmetis.h b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/parmetis.h deleted file mode 100644 index 64a90ea..0000000 --- a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/parmetis.h +++ /dev/null @@ -1,193 +0,0 @@ -/* - * Copyright 1997-2003, Regents of the University of Minnesota - * - * parmetis.h - * - * This file contains function prototypes and constrant definitions for - * ParMETIS - * - * Started 7/21/03 - * George - * - */ - -#ifndef __parmetis_h__ -#define __parmetis_h__ - -#include <mpi.h> - -#ifndef _MSC_VER -#define __cdecl -#endif - - -/************************************************************************* -* Data-structures -**************************************************************************/ -/* Undefine the following #define in order to use short int as the idxtype */ -#define IDXTYPE_INT - -/* Indexes are as long as integers for now */ -#ifdef IDXTYPE_INT -typedef int idxtype; -#else -typedef short idxtype; -#endif - - -/************************************************************************* -* Constants -**************************************************************************/ -#define PARMETIS_MAJOR_VERSION 3 -#define PARMETIS_MINOR_VERSION 1 - - -/************************************************************************* -* Function prototypes -**************************************************************************/ -#ifdef __cplusplus -extern "C" { -#endif - -/*------------------------------------------------------------------- -* API Introduced with Release 3.0 (current API) -*--------------------------------------------------------------------*/ -void __cdecl ParMETIS_V3_AdaptiveRepart( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *vsize, idxtype *adjwgt, int *wgtflag, int *numflag, int *ncon, - int *nparts, float *tpwgts, float *ubvec, float *ipc2redist, - int *options, int *edgecut, idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_V3_PartGeomKway( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *ndims, float *xyz, - int *ncon, int *nparts, float *tpwgts, float *ubvec, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_V3_PartGeom( - idxtype *vtxdist, int *ndims, float *xyz, idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_V3_PartKway( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *ncon, int *nparts, - float *tpwgts, float *ubvec, int *options, int *edgecut, idxtype *part, - MPI_Comm *comm); - -void __cdecl ParMETIS_V3_Mesh2Dual( - idxtype *elmdist, idxtype *eptr, idxtype *eind, int *numflag, - int *ncommonnodes, idxtype **xadj, idxtype **adjncy, MPI_Comm *comm); - -void __cdecl ParMETIS_V3_PartMeshKway( - idxtype *elmdist, idxtype *eptr, idxtype *eind, idxtype *elmwgt, - int *wgtflag, int *numflag, int *ncon, int *ncommonnodes, int *nparts, - float *tpwgts, float *ubvec, int *options, int *edgecut, idxtype *part, - MPI_Comm *comm); - -void __cdecl ParMETIS_V3_NodeND( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, - int *options, idxtype *order, idxtype *sizes, MPI_Comm *comm); - -void __cdecl ParMETIS_V3_RefineKway( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *ncon, int *nparts, - float *tpwgts, float *ubvec, int *options, int *edgecut, - idxtype *part, MPI_Comm *comm); - - - -/*------------------------------------------------------------------ -* Backward compatibility routines with Release 2.0 -*-------------------------------------------------------------------*/ -void __cdecl ParMETIS_PartKway( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_PartGeomKway( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *ndims, float *xyz, int *nparts, int *options, - int *edgecut, idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_PartGeom( - idxtype *vtxdist, int *ndims, float *xyz, idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_PartGeomRefine( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *ndims, float *xyz, - int *options, int *edgecut, idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_RefineKway( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *options, int *edgecut, - idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_RepartLDiffusion( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *options, int *edgecut, - idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_RepartGDiffusion( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, - idxtype *adjwgt, int *wgtflag, int *numflag, int *options, int *edgecut, - idxtype *part, MPI_Comm *comm); - -void __cdecl ParMETIS_RepartRemap( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *options, int *edgecut, idxtype *part, - MPI_Comm *comm); - -void __cdecl ParMETIS_RepartMLRemap( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, idxtype *vwgt, idxtype *adjwgt, - int *wgtflag, int *numflag, int *options, int *edgecut, idxtype *part, - MPI_Comm *comm); - -void __cdecl ParMETIS_NodeND( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, - idxtype *order, idxtype *sizes, MPI_Comm *comm); - -void __cdecl ParMETIS_SerialNodeND( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int *numflag, int *options, - idxtype *order, idxtype *sizes, MPI_Comm *comm); - - - - -/*------------------------------------------------------------------- -* Backward compatibility routines with Release 1.0 -*--------------------------------------------------------------------*/ -void __cdecl PARKMETIS( - idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm); - -void __cdecl PARGKMETIS( - idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - int ndims, float *xyz, idxtype *part, int *options, MPI_Comm comm); - -void __cdecl PARGRMETIS( - idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - int ndims, float *xyz, idxtype *part, int *options, MPI_Comm comm); - -void __cdecl PARGMETIS( - idxtype *vtxdist, idxtype *xadj, idxtype *adjncy, int ndims, float *xyz, - idxtype *part, int *options, MPI_Comm comm); - -void __cdecl PARRMETIS( - idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, - idxtype *adjwgt, idxtype *part, int *options, MPI_Comm comm); - -void __cdecl PARUAMETIS( - idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, - idxtype *adjwgt, idxtype *part, int *options, MPI_Comm comm); - -void __cdecl PARDAMETIS( - idxtype *vtxdist, idxtype *xadj, idxtype *vwgt, idxtype *adjncy, idxtype *adjwgt, - idxtype *part, int *options, MPI_Comm comm); - -#ifdef __cplusplus -} -#endif - - - - -#endif |