-.. # --------------------------------------------------------------------------
- #
- # Copyright
- # Markus Wittmann, 2016-2017
- # RRZE, University of Erlangen-Nuremberg, Germany
- # markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
- #
- # Viktor Haag, 2016
- # LSS, University of Erlangen-Nuremberg, Germany
- #
- # This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
- #
- # LbmBenchKernels is free software: you can redistribute it and/or modify
- # it under the terms of the GNU General Public License as published by
- # the Free Software Foundation, either version 3 of the License, or
- # (at your option) any later version.
- #
- # LbmBenchKernels is distributed in the hope that it will be useful,
- # but WITHOUT ANY WARRANTY; without even the implied warranty of
- # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- # GNU General Public License for more details.
- #
- # You should have received a copy of the GNU General Public License
- # along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
- #
- # --------------------------------------------------------------------------
+
+| Copyright
+| Markus Wittmann, 2016-2018
+| RRZE, University of Erlangen-Nuremberg, Germany
+| markus.wittmann -at- fau.de or hpc -at- rrze.fau.de
+|
+| Viktor Haag, 2016
+| LSS, University of Erlangen-Nuremberg, Germany
+|
+| This file is part of the Lattice Boltzmann Benchmark Kernels (LbmBenchKernels).
+|
+| LbmBenchKernels is free software: you can redistribute it and/or modify
+| it under the terms of the GNU General Public License as published by
+| the Free Software Foundation, either version 3 of the License, or
+| (at your option) any later version.
+|
+| LbmBenchKernels is distributed in the hope that it will be useful,
+| but WITHOUT ANY WARRANTY; without even the implied warranty of
+| MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+| GNU General Public License for more details.
+|
+| You should have received a copy of the GNU General Public License
+| along with LbmBenchKernels. If not, see <http://www.gnu.org/licenses/>.
.. title:: LBM Benchmark Kernels Documentation
-===================================
-LBM Benchmark Kernels Documentation
-===================================
+**LBM Benchmark Kernels Documentation**
.. sectnum::
.. contents::
Currently all kernels utilize a D3Q19 discretization and the
two-relaxation-time (TRT) collision operator [ginzburg-2008]_.
-All operations are carried out in double precision arithmetic.
+All operations are carried out in double or single precision arithmetic.
Compilation
===========
``CONFIG=linux-intel``.
+Floating Point Precision
+------------------------
+
+As default double precision data types are used for storing PDFs and floating
+point constants. Furthermore, this is the default for the intrincis kernels.
+With the ``PRECISION=sp`` variable this can be changed to single precision. ::
+
+ make PRECISION=sp # build for single precision kernels
+
+ make PRECISION=dp # build for double precision kernels (defalt)
+
+
Cleaning
--------
CONFIG linux-gcc, linux-intel linux-intel Select GCC or Intel compiler.
ISA avx, sse avx Determines which ISA extension is used for macro definitions of the intrinsics. This is *not* the architecture the compiler generates code for.
OPENMP on, off on OpenMP, i.\,e.\. threading support.
+PRECISION dp, sp dp Floating point precision used for data type, arithmetic, and intrincics.
STATISTICS on, off off View statistics, like density etc, during simulation.
TARCH -- -- Via TARCH the architecture the compiler generates code for can be overridden. The value depends on the chosen compiler.
VERIFICATION on, off off Turn verification on/off.
This holds also true for ``-verify`` which sets geometry dimensions,
iterations, etc, which can afterward be override, e.g.: ::
- $ bin/lbmbenchk-linux-intel-release -verfiy -dims 32x32x32
+ $ bin/lbmbenchk-linux-intel-release-dp -verfiy -dims 32x32x32
Kernel specific parameters can be obtained via selecting the specific kernel
and passing ``-h`` as parameter: ::
- $ bin/lbmbenchk-linux-intel-release -kernel kernel-name -- -h
+ $ bin/lbmbenchk-linux-intel-release-dp -kernel kernel-name -- -h
...
Kernel parameters:
[-blk <n>] [-blk-[xyz] <n>]
A list of all available kernels can be obtained via ``-list``: ::
- $ ../bin/lbmbenchk-linux-gcc-debug -list
+ $ ../bin/lbmbenchk-linux-gcc-debug-dp -list
Lattice Boltzmann Benchmark Kernels (LbmBenchKernels) Copyright (C) 2016, 2017 LSS, RRZE
This program comes with ABSOLUTELY NO WARRANTY; for details see LICENSE.
This is free software, and you are welcome to redistribute it under certain conditions.
The following list shortly describes available kernels:
-- push-soa/push-aos/pull-soa/pull-aos:
+- **push-soa/push-aos/pull-soa/pull-aos**:
Unoptimized kernels (but stream/collide are already fused) using two grids as
source and destination. Implement push/pull semantics as well structure of
arrays (soa) or array of structures (aos) layout.
-- blk-push-soa/blk-push-aos/blk-pull-soa/blk-pull-aos:
+- **blk-push-soa/blk-push-aos/blk-pull-soa/blk-pull-aos**:
The same as the unoptimized kernels without the blk prefix, except that they support
spatial blocking, i.e. loop blocking of the three loops used to iterate over
the lattice. Here manual work sharing for OpenMP is used.
-- list-push-soa/list-push-aos/list-pull-soa/list-pull-aos:
+- **aa-aos/aa-soa**:
+ Straight forward implementation of AA pattern on full array with blocking support.
+ Manual work sharing for OpenMP is used. Domain is partitioned only along the x dimension.
+
+- **aa-vec-soa/aa-vec-sl-soa**:
+ Optimized AA kernel with intrinsics on full array. aa-vec-sl-soa uses only
+ one loop for iterating over the lattice instead of three nested ones.
+
+- **list-push-soa/list-push-aos/list-pull-soa/list-pull-aos**:
The same as the unoptimized kernels without the list prefix, but for indirect addressing.
Here only a 1D vector of is used to store the fluid nodes, omitting the
obstacles. An adjacency list is used to recover the neighborhood associations.
-- list-pull-split-nt-1s-soa/list-pull-split-nt-2s-soa:
+- **list-pull-split-nt-1s-soa/list-pull-split-nt-2s-soa**:
Optimized variant of list-pull-soa. Chunks of the lattice are processed as
once. Postcollision values are written back via nontemporal stores in 18 (1s)
or 9 (2s) loops.
-- list-aa-aos/list-aa-soa:
+- **list-aa-aos/list-aa-soa**:
Unoptimized implementation of the AA pattern for the 1D vector with adjacency
list. Supported are array of structures (aos) and structure of arrays (soa)
data layout is supported.
-- list-aa-ria-soa:
+- **list-aa-ria-soa**:
Implementation of AA pattern with intrinsics for the 1D vector with adjacency
list. Furthermore it contains a vectorized even time step and run length
coding to reduce the loop balance of the odd time step.
-- list-aa-pv-soa:
+- **list-aa-pv-soa**:
All optimizations of list-aa-ria-soa. Additional with partial vectorization
of the odd time step.
The following table summarizes the properties of the kernels. Here **D** means
direct addressing, i.e. full array, **I** means indirect addressing, i.e. 1D
vector with adjacency list, **x** means supported, whereas **--** means unsupported.
-The loop balance B_l is computed for D3Q19 model with double precision floating
+The loop balance B_l is computed for D3Q19 model with **double precision** floating
point for PDFs (8 byte) and 4 byte integers for the index (adjacency list).
As list-aa-ria-soa and list-aa-pv-soa support run length coding their effective
loop balance depends on the geometry. The effective loop balance is printed
blk-push-aos OS AoS D x x 456
blk-pull-soa OS SoA D x x 456
blk-pull-aos OS AoS D x x 456
+aa-soa AA SoA D x x 304
+aa-aos AA AoS D x x 304
+aa-vec-soa AA SoA D x x 304
+aa-vec-sl-soa AA SoA D x x 304
list-push-soa OS SoA I x x 528
list-push-aos OS AoS I x x 528
list-pull-soa OS SoA I x x 528
During benchmarking pinning should be used via the ``-pin`` parameter. Running
a benchmark with 10 threads and pin them to the first 10 cores works like ::
- $ bin/lbmbenchk-linux-intel-release ... -t 10 -pin $(seq -s , 0 9)
+ $ bin/lbmbenchk-linux-intel-release-dp ... -t 10 -pin $(seq -s , 0 9)
General Remarks
===================
The sections lists performance values measured on several machines for
-different kernels and geometries.
+different kernels and geometries and **double precision** floating point data/arithmetic.
The **RFM** column denotes the expected performance as predicted by the
Roofline performance model [williams-2008]_.
For performance prediction of each kernel a memory bandwidth benchmark is used
which mimics the kernels memory access pattern and the kernel's loop balance
(see [kernels]_ for details).
-Haswell, Intel Xeon E5-2695 v3
-------------------------------
+Machine Specifications
+----------------------
+
+**Ivy Bridge, Intel Xeon E5-2660 v2**
+
+- Ivy Bridge architecture, AVX
+- 10 cores, 2.2 GHz
+- SMT enabled
+- memoy bandwidth:
+
+ - copy-19 32.7 GB/s
+ - copy-19-nt-sl 35.6 GB/s
+ - update-19 37.4 GB/s
+
+**Haswell, Intel Xeon E5-2695 v3**
- Haswell architecture, AVX2, FMA
-- 14 cores, 2,3 GHz
+- 14 cores, 2.3 GHz
- 2 x 7 cores in cluster-on-die (CoD) mode enabled
- SMT enabled
+- memory bandwidth:
-memory bandwidth:
-
-- copy-19 47.3 GB/s
-- copy-19-nt-sl 47.1 GB/s
-- update-19 44.0 GB/s
-
-geometry dimensions: 500x100x100
-
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =====
-kernel pipe blocks-2 blocks-4 blocks-6 blocks-8 blocks-10 blocks-15 blocks-16 blocks-20 blocks-25 blocks-32 RFM
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =====
-blk-push-aos 58.82 49.85 57.34 59.90 61.37 62.17 65.30 64.00 67.54 64.46 69.69 104
-blk-push-soa 32.32 33.46 34.02 34.64 35.06 35.04 36.31 35.44 37.20 35.14 37.95 104
-blk-pull-aos 56.97 51.41 56.09 57.92 59.98 59.83 63.37 61.55 65.50 63.11 67.02 104
-blk-pull-soa 49.29 46.23 47.50 51.97 51.27 49.52 55.23 53.13 54.50 49.79 57.90 104
-aa-aos 91.35 66.14 76.80 84.76 83.63 91.36 93.46 92.62 93.91 92.25 92.93 145
-aa-soa 75.51 65.68 70.94 71.36 73.83 75.46 74.84 79.48 83.28 77.70 82.72 145
-aa-vec-soa 93.85 83.44 91.58 93.96 94.35 96.62 101.76 96.72 106.37 102.60 110.28 145
-list-push-aos 80.29 80.97 80.95 81.10 81.37 82.44 81.77 81.49 80.72 81.93 80.93 83
-list-push-soa 47.52 42.65 45.28 46.64 43.46 40.59 44.94 46.55 41.53 45.98 44.86 83
-list-pull-aos 85.30 82.97 86.43 83.42 86.33 83.70 86.43 83.77 83.10 85.89 84.44 83
-list-pull-soa 62.12 63.61 63.28 61.32 66.72 62.65 64.82 60.49 58.01 64.46 62.52 83
-list-pull-split-nt-1s-soa 121.35 113.77 115.29 113.54 117.00 116.46 114.78 114.54 110.83 112.67 117.85 125
-list-pull-split-nt-2s-soa 118.09 110.48 112.55 113.18 113.44 111.85 109.27 114.41 110.28 111.78 113.74 125
-list-aa-aos 121.28 118.63 119.00 118.50 121.99 119.11 118.83 121.47 121.62 126.18 120.12 129
-list-aa-soa 126.34 116.90 129.45 127.12 129.41 121.42 126.19 126.76 126.70 124.40 125.22 129
-list-aa-ria-soa 133.68 121.82 126.04 128.46 131.15 132.25 128.78 133.50 126.69 124.40 130.37 145
-list-aa-pv-soa 146.22 124.39 130.73 136.29 137.61 131.21 138.65 138.78 127.02 132.40 138.37 145
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =====
-
-
-Broadwell, Intel Xeon E5-2630 v4
---------------------------------
+ - copy-19 47.3 GB/s
+ - copy-19-nt-sl 47.1 GB/s
+ - update-19 44.0 GB/s
+
+
+**Broadwell, Intel Xeon E5-2630 v4**
- Broadwell architecture, AVX2, FMA
- 10 cores, 2.2 GHz
- SMT disabled
+- memory bandwidth:
+
+ - copy-19 48.0 GB/s
+ - copy-nt-sl-19 48.2 GB/s
+ - update-19 51.1 GB/s
+
+**Skylake, Intel Xeon Gold 6148**
-memory bandwidth:
-
-- copy-19 48.0 GB/s
-- copy-nt-sl-19 48.2 GB/s
-- update-19 51.1 GB/s
-
-geometry dimensions: 500x100x100
-
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =======
-kernel pipe blocks-2 blocks-4 blocks-6 blocks-8 blocks-10 blocks-15 blocks-16 blocks-20 blocks-25 blocks-32 RFM
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =======
-blk-push-aos 55.75 47.62 54.57 57.10 58.49 59.00 61.72 60.56 64.05 61.10 66.03 105
-blk-push-soa 30.06 31.09 32.13 32.54 32.74 32.72 33.81 33.19 34.90 33.21 35.75 105
-blk-pull-aos 53.80 48.61 53.08 54.99 56.08 56.68 59.20 58.12 61.49 58.71 63.45 105
-blk-pull-soa 46.96 46.61 48.84 49.70 50.33 50.46 52.36 51.39 54.20 51.61 55.71 105
-aa-aos 91.40 66.99 78.47 83.38 86.62 88.62 92.98 91.54 97.08 94.93 98.90 168
-aa-soa 83.01 69.96 75.85 77.72 79.01 79.29 82.38 80.11 85.70 83.91 87.69 168
-aa-vec-soa 112.03 96.52 105.32 109.76 112.55 113.82 120.55 118.37 126.30 121.37 131.94 168
-list-push-aos 75.13 74.18 75.20 75.42 75.24 75.99 75.80 75.80 75.54 76.22 76.21 97
-list-push-soa 40.99 38.14 39.00 38.89 38.89 39.67 39.87 39.28 39.35 40.08 40.13 97
-list-pull-aos 82.07 82.88 83.29 83.09 83.32 83.49 82.82 82.88 83.32 82.60 82.93 97
-list-pull-soa 62.07 60.40 61.89 61.39 62.43 60.90 60.48 62.80 62.50 61.10 60.38 97
-list-pull-split-nt-1s-soa 125.81 120.60 121.96 122.34 122.86 123.53 123.64 123.67 125.94 124.09 123.69 128
-list-pull-split-nt-2s-soa 122.79 117.16 118.86 119.16 119.56 119.99 120.01 120.03 122.64 120.57 120.39 128
-list-aa-aos 128.13 127.41 129.31 129.07 129.79 129.63 129.67 129.94 129.12 128.41 129.72 150
-list-aa-soa 141.60 139.78 141.58 142.16 141.94 141.31 142.37 142.25 142.43 141.40 142.26 150
-list-aa-ria-soa 141.82 134.88 140.15 140.72 141.67 140.51 141.18 141.29 142.97 141.94 143.25 168
-list-aa-pv-soa 164.79 140.95 159.24 161.78 162.40 163.04 164.69 164.38 165.11 165.75 166.09 168
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= =======
-
-
-Skylake, Intel Xeon Gold 6148
------------------------------
-
-- Skylake architecture, AVX2, FMA, AVX512
+NOTE: currently we only use AVX2 intrinsics.
+
+- Skylake server architecture, AVX2, AVX512, 2 FMA units
- 20 cores, 2.4 GHz
- SMT enabled
+- memory bandwidth:
+
+ - copy-19 89.7 GB/s
+ - copy-19-nt-sl 92.4 GB/s
+ - update-19 93.6 GB/s
+
+**Zen, AMD EPYC 7451**
+
+- Zen architecture, AVX2, FMA
+- 24 cores, 2.3 GHz
+- SMT enabled
+- memory bandwidth:
+
+ - copy-19 111.9 GB/s
+ - copy-19-nt-sl 111.7 GB/s
+ - update-19 109.2 GB/s
+
+**Zen, AMD Ryzen 7 1700X**
+
+- Zen architecture, AVX2, FMA
+- 8 cores, 3.4 GHz
+- SMT enabled
+- memory bandwidth:
+
+ - copy-19 27.2 GB/s
+ - copy-19-nt-sl 27.1 GB/s
+ - update-19 26.1 GB/s
+
+Single Socket Results
+---------------------
+
+- Geometry dimensions are for all measurements 500x100x100 nodes.
+- Note the **different scaling on the y axis** of the plots!
+
+.. |perf_emmy_dp| image:: images/benchmark-emmy-dp.png
+ :scale: 50 %
+.. |perf_emmy_sp| image:: images/benchmark-emmy-sp.png
+ :scale: 50 %
+.. |perf_hasep1_dp| image:: images/benchmark-hasep1-dp.png
+ :scale: 50 %
+.. |perf_hasep1_sp| image:: images/benchmark-hasep1-sp.png
+ :scale: 50 %
+.. |perf_meggie_dp| image:: images/benchmark-meggie-dp.png
+ :scale: 50 %
+.. |perf_meggie_sp| image:: images/benchmark-meggie-sp.png
+ :scale: 50 %
+.. |perf_skylakesp2_dp| image:: images/benchmark-skylakesp2-dp.png
+ :scale: 50 %
+.. |perf_skylakesp2_sp| image:: images/benchmark-skylakesp2-sp.png
+ :scale: 50 %
+.. |perf_summitridge1_dp| image:: images/benchmark-summitridge1-dp.png
+ :scale: 50 %
+.. |perf_summitridge1_sp| image:: images/benchmark-summitridge1-sp.png
+ :scale: 50 %
+.. |perf_naples1_dp| image:: images/benchmark-naples1-dp.png
+ :scale: 50 %
+.. |perf_naples1_sp| image:: images/benchmark-naples1-sp.png
+ :scale: 50 %
+
+.. list-table::
+
+ * - Ivy Bridge, Intel Xeon E5-2660 v2, Double Precision
+ * - |perf_emmy_dp|
+ * - Ivy Bridge, Intel Xeon E5-2660 v2, Single Precision
+ * - |perf_emmy_sp|
+ * - Haswell, Intel Xeon E5-2695 v3, Double Precision
+ * - |perf_hasep1_dp|
+ * - Haswell, Intel Xeon E5-2695 v3, Single Precision
+ * - |perf_hasep1_sp|
+ * - Broadwell, Intel Xeon E5-2630 v4, Double Precision
+ * - |perf_meggie_dp|
+ * - Broadwell, Intel Xeon E5-2630 v4, Single Precision
+ * - |perf_meggie_sp|
+ * - Skylake, Intel Xeon Gold 6148, Double Precision, **NOTE: currently we only use AVX2 intrinsics.**
+ * - |perf_skylakesp2_dp|
+ * - Skylake, Intel Xeon Gold 6148, Single Precision, **NOTE: currently we only use AVX2 intrinsics.**
+ * - |perf_skylakesp2_sp|
+ * - Zen, AMD Ryzen 7 1700X, Double Precision
+ * - |perf_summitridge1_dp|
+ * - Zen, AMD Ryzen 7 1700X, Single Precision
+ * - |perf_summitridge1_sp|
+ * - Zen, AMD EPYC 7451, Double Precision
+ * - |perf_naples1_dp|
+ * - Zen, AMD EPYC 7451, Single Precision
+ * - |perf_naples1_sp|
-memory bandwidth:
-
-- copy-19 89.7 GB/s
-- copy-19-nt-sl 92.4 GB/s
-- update-19 93.6 GB/s
-
-geometry dimensions: 500x100x100
-
-
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ===
-kernel pipe blocks-2 blocks-4 blocks-6 blocks-8 blocks-10 blocks-15 blocks-16 blocks-20 blocks-25 blocks-32 RFM
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ===
-blk-push-aos 113.01 93.99 108.98 114.65 117.87 119.47 124.95 122.46 129.29 123.87 133.01 197
-blk-push-soa 100.21 98.87 103.63 105.56 107.02 107.27 111.61 109.83 116.16 110.51 110.29 197
-blk-pull-aos 118.45 102.54 114.12 117.82 122.69 124.31 130.58 127.85 135.72 129.65 139.94 197
-blk-pull-soa 82.60 83.36 87.13 88.39 88.84 88.96 92.48 90.93 95.79 91.92 98.64 197
-aa-aos 171.32 125.43 147.73 157.70 163.35 167.25 175.39 174.20 182.54 173.67 187.76 308
-aa-soa 180.85 152.39 165.84 152.59 171.90 175.76 184.94 182.34 189.43 180.30 193.54 308
-aa-vec-soa 208.03 181.51 195.86 203.41 209.08 212.34 224.05 219.49 234.31 225.92 245.22 308
-list-push-aos 158.81 164.67 162.93 163.05 165.22 164.31 164.66 160.78 164.07 165.19 164.06 177
-list-push-soa 134.60 110.44 110.17 132.01 132.95 133.46 134.37 134.33 135.12 134.91 137.87 177
-list-pull-aos 169.61 170.03 170.89 170.90 171.20 171.60 172.09 171.95 169.48 172.08 171.02 177
-list-pull-soa 120.50 116.73 118.62 118.00 120.99 118.15 117.17 121.41 120.83 120.00 118.74 177
-list-pull-split-nt-1s-soa 225.59 224.18 225.10 226.34 226.01 230.37 227.50 228.42 227.39 231.65 227.35 246
-list-pull-split-nt-2s-soa 219.20 214.63 217.61 218.13 219.07 221.01 219.88 220.09 220.62 221.68 220.58 246
-list-aa-aos 241.39 239.27 239.53 242.56 242.46 243.00 242.91 242.46 241.24 242.96 241.52 275
-list-aa-soa 273.73 268.49 268.48 271.79 275.29 274.56 277.18 272.67 274.21 275.24 278.21 275
-list-aa-ria-soa 288.42 261.89 273.26 284.84 283.88 288.29 290.72 289.81 293.36 290.75 292.93 308
-list-aa-pv-soa 303.35 267.21 289.18 294.96 294.36 298.16 300.45 301.71 302.37 302.88 304.46 308
-========================= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ========= ===
Licence
=======
projects / LbmBenchmarkKernelsPublic.git / blobdiff