From a6bdbdee5d9ab5db08bb9da2dad855ddae00b1a6 Mon Sep 17 00:00:00 2001 From: "Jan H. Meinke" <j.meinke@fz-juelich.de> Date: Tue, 27 Sep 2022 20:39:16 +0200 Subject: [PATCH] Update of material for High-Performance Computing with Python @ JSC 2022. --- ....ipynb => 00_Introduction to IPython.ipynb | 149 +- 00_Bottlenecks.ipynb => 01_Bottlenecks.ipynb | 148 +- 02_NumPy_concepts.ipynb | 44 +- 03_ThinkVector.ipynb | 198 +- 04_Particle Dynamics.ipynb | 12 +- 05_Profiling a simple md code.ipynb | 32 +- ...alParallel.ipynb => 06_LocalParallel.ipynb | 36 +- ...rallel.ipynb => 07_LocalTaskParallel.ipynb | 6 +- ...ectorize.ipynb => 08_Numba vectorize.ipynb | 8 +- 11_NumbaIntro.ipynb => 09_NumbaIntro.ipynb | 8 +- ...10_Speeding up your code with Cython.ipynb | 27 +- ... 11_Writing your own Python bindings.ipynb | 18 +- ... MPI.ipynb => 12_Introduction to MPI.ipynb | 832 +- 13_Introduction to CuPy.ipynb | 678 + ...r Python.ipynb => 14_CUDA for Python.ipynb | 576 +- ...UDA and MPI.ipynb => 15_CUDA and MPI.ipynb | 428 +- 16_Introduction to CuPy.ipynb | 386 - ...ask.ipynb => 16_Introduction to Dask.ipynb | 0 06_Debugging.ipynb => 17_Debugging.ipynb | 0 07_IDEs.ipynb => 18_IDEs.ipynb | 0 README.rst | 27 - build.sh | 2 +- hpcpy21 => hpcpy22 | 15 +- images/motorcycleandbus.svg | 102122 +++++++++++++++ .../00_Introduction to IPython.ipynb | 149 +- ...Bottlenecks.ipynb => 01_Bottlenecks.ipynb} | 148 +- solutions/02_NumPy_concepts.ipynb | 44 +- solutions/03_ThinkVector.ipynb | 201 +- solutions/04_Particle Dynamics.ipynb | 12 +- solutions/05_Profiling a simple md code.ipynb | 32 +- .../06_LocalParallel.ipynb | 36 +- .../07_LocalTaskParallel.ipynb | 6 +- ...ctorize.ipynb => 08_Numba vectorize.ipynb} | 8 +- ...1_NumbaIntro.ipynb => 09_NumbaIntro.ipynb} | 8 +- ...0_Speeding up your code with Cython.ipynb} | 27 +- ...11_Writing your own Python bindings.ipynb} | 18 +- ...MPI.ipynb => 12_Introduction to MPI.ipynb} | 826 +- ...Py.ipynb => 13_Introduction to CuPy.ipynb} | 385 +- .../14_CUDA for Python.ipynb | 790 +- ...DA and MPI.ipynb => 15_CUDA and MPI.ipynb} | 518 +- ...sk.ipynb => 16_Introduction to Dask.ipynb} | 0 ...{06_Debugging.ipynb => 17_Debugging.ipynb} | 0 solutions/{07_IDEs.ipynb => 18_IDEs.ipynb} | 0 solutions/build.sh | 2 +- solutions/{hpcpy21 => hpcpy22} | 15 +- 45 files changed, 106584 insertions(+), 2393 deletions(-) rename solutions/01_Introduction to IPython.ipynb => 00_Introduction to IPython.ipynb (94%) rename 00_Bottlenecks.ipynb => 01_Bottlenecks.ipynb (77%) rename solutions/08_LocalParallel.ipynb => 06_LocalParallel.ipynb (98%) rename solutions/09_LocalTaskParallel.ipynb => 07_LocalTaskParallel.ipynb (99%) rename 10_Numba vectorize.ipynb => 08_Numba vectorize.ipynb (98%) rename 11_NumbaIntro.ipynb => 09_NumbaIntro.ipynb (99%) rename 12_Speeding up your code with Cython.ipynb => 10_Speeding up your code with Cython.ipynb (97%) rename 13_Writing your own Python bindings.ipynb => 11_Writing your own Python bindings.ipynb (98%) rename 15_Introduction to MPI.ipynb => 12_Introduction to MPI.ipynb (80%) create mode 100644 13_Introduction to CuPy.ipynb rename solutions/17_CUDA for Python.ipynb => 14_CUDA for Python.ipynb (77%) rename 18_CUDA and MPI.ipynb => 15_CUDA and MPI.ipynb (59%) delete mode 100644 16_Introduction to CuPy.ipynb rename 14_Introduction to Dask.ipynb => 16_Introduction to Dask.ipynb (100%) rename 06_Debugging.ipynb => 17_Debugging.ipynb (100%) rename 07_IDEs.ipynb => 18_IDEs.ipynb (100%) delete mode 100644 README.rst rename hpcpy21 => hpcpy22 (54%) mode change 100755 => 100644 create mode 100644 images/motorcycleandbus.svg rename 01_Introduction to IPython.ipynb => solutions/00_Introduction to IPython.ipynb (94%) rename solutions/{00_Bottlenecks.ipynb => 01_Bottlenecks.ipynb} (77%) rename 08_LocalParallel.ipynb => solutions/06_LocalParallel.ipynb (98%) rename 09_LocalTaskParallel.ipynb => solutions/07_LocalTaskParallel.ipynb (99%) rename solutions/{10_Numba vectorize.ipynb => 08_Numba vectorize.ipynb} (99%) rename solutions/{11_NumbaIntro.ipynb => 09_NumbaIntro.ipynb} (99%) rename solutions/{12_Speeding up your code with Cython.ipynb => 10_Speeding up your code with Cython.ipynb} (97%) rename solutions/{13_Writing your own Python bindings.ipynb => 11_Writing your own Python bindings.ipynb} (98%) rename solutions/{15_Introduction to MPI.ipynb => 12_Introduction to MPI.ipynb} (83%) rename solutions/{16_Introduction to CuPy.ipynb => 13_Introduction to CuPy.ipynb} (50%) rename 17_CUDA for Python.ipynb => solutions/14_CUDA for Python.ipynb (55%) rename solutions/{18_CUDA and MPI.ipynb => 15_CUDA and MPI.ipynb} (74%) rename solutions/{14_Introduction to Dask.ipynb => 16_Introduction to Dask.ipynb} (100%) rename solutions/{06_Debugging.ipynb => 17_Debugging.ipynb} (100%) rename solutions/{07_IDEs.ipynb => 18_IDEs.ipynb} (100%) rename solutions/{hpcpy21 => hpcpy22} (54%) mode change 100755 => 100644 diff --git a/solutions/01_Introduction to IPython.ipynb b/00_Introduction to IPython.ipynb similarity index 94% rename from solutions/01_Introduction to IPython.ipynb rename to 00_Introduction to IPython.ipynb index 2edbe59..7d3b2c3 100644 --- a/solutions/01_Introduction to IPython.ipynb +++ b/00_Introduction to IPython.ipynb @@ -20,7 +20,7 @@ }, "source": [ "<div class=\"dateauthor\">\n", - "07 June 2021 | Jan H. Meinke\n", + "20 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -113,9 +113,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" } @@ -166,12 +163,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -289,7 +284,8 @@ }, "outputs": [], "source": [ - "%matplotlib inline # widget is an interactive alternative to inline\n", + "%matplotlib inline \n", + "# widget is an interactive alternative to inline\n", "import matplotlib.pyplot as plt\n", "import numpy" ] @@ -326,8 +322,8 @@ }, "outputs": [], "source": [ - "from IPython.display import set_matplotlib_formats\n", - "set_matplotlib_formats('pdf', 'svg')" + "import matplotlib_inline.backend_inline\n", + "matplotlib_inline.backend_inline.set_matplotlib_formats('pdf', 'svg')" ] }, { @@ -428,12 +424,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -469,12 +463,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -485,12 +477,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -501,12 +491,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -528,12 +516,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -612,12 +598,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -650,12 +634,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -664,12 +646,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -678,12 +658,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -692,12 +670,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -706,12 +682,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -720,12 +694,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -734,12 +706,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -783,9 +753,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "fragment" } @@ -873,12 +840,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -911,35 +876,49 @@ "Sometimes it may become necessary to reset the namespace, for example, if ``Out[]`` contains some large objects that are no longer needed. ``%reset`` has several options to reset variables including the history of directories, inputs, and output. Please, check ``%reset?`` for details." ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Entering special symbols" + ] + }, { "cell_type": "markdown", "metadata": {}, "source": [ - "IPython has several other interesting features. To learn more check out [IPython's documentation].\n", - "\n", - "[IPython's documentation]: https://ipython.readthedocs.io/en/stable/" + "IPython allows us to enter special symbols. To type $\\alpha$, for example, you start by typing `\\alpha` followed by the Tab key." ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "jupyter": { - "outputs_hidden": true - }, - "slideshow": { - "slide_type": "skip" - } - }, + "metadata": {}, "outputs": [], - "source": [] + "source": [ + "\\alpha" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "IPython has several other interesting features. To learn more check out [IPython's documentation].\n", + "\n", + "[IPython's documentation]: https://ipython.readthedocs.io/en/stable/" + ] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -951,7 +930,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/00_Bottlenecks.ipynb b/01_Bottlenecks.ipynb similarity index 77% rename from 00_Bottlenecks.ipynb rename to 01_Bottlenecks.ipynb index 7e9c5a8..d8ebdc8 100644 --- a/00_Bottlenecks.ipynb +++ b/01_Bottlenecks.ipynb @@ -11,7 +11,7 @@ "# Bottlenecks\n", "\n", "<div class=\"dateauthor\">\n", - "07 Jun 2021 | Jan H. Meinke\n", + "20 Jun 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -95,7 +95,7 @@ }, "source": [ "## CPU\n", - "### On JUWELS" + "### On JUSUF" ] }, { @@ -109,11 +109,10 @@ "\n", "Each core has the following features:\n", "\n", - "- processor frequency of 2.7 GHz (up to 3.7 GHz in turbo mode)\n", - "- 512 bit wide vector unit (8 double precision numbers)\n", + "- processor frequency of 2.25 GHz (up to 3.4 GHz in turbo mode)\n", + "- 256 bit wide vector unit (4 double precision numbers)\n", "- 2 Fused multiply-add (FMA) units each performing an FMA operation in a single cycle (each FMA counts as 2 floating point operations)\n", - "- When running all cores each FMA unit runs at 2.5 GHz (max)\n", - "- Peak performance is 2.5 \\* 8 \\* 2 \\* 2 GFlop/s = 80 GFlop/s" + "- Peak performance is 2.25 \\* 4 \\* 2 \\* 2 GFlop/s = 36 GFlop/s" ] }, { @@ -124,8 +123,8 @@ } }, "source": [ - "There are 24 cores per socket\n", - "- Peak performance of a socket is 24 * 80 GFlop/s = 1920 GFlop/s" + "There are 64 cores per socket\n", + "- Peak performance of a socket is 64 * 36 GFlop/s = 2304 GFlop/s" ] }, { @@ -136,9 +135,9 @@ } }, "source": [ - "This is the limit most people think of first, but it's often not the crucial one. Each core on JUWELS can perform ca. 80 GFlop/s if the code is completely *vectorized* and performs a *multiply and an add operation* at *each step*. If your code doesn't fulfill those requirements its peak performance will be less.\n", + "This is the limit most people think of first, but it's often not the crucial one. Each core on JUSUF can perform ca. 36 GFlop/s if the code is completely *vectorized* and performs a *multiply and an add operation* at *each step*. If your code doesn't fulfill those requirements its peak performance will be less.\n", "\n", - "Actually the peak performance is often less because the CPU temperature limit typically soon leads to throttling when using all cores. The guaranteed sustained frequency for JUWELS' FMA units is 1.9 GHz." + "Actually the peak performance is often less because the CPU temperature limit typically soon leads to throttling when using all cores. " ] }, { @@ -163,13 +162,13 @@ "source": [ "* L1 (per core):\n", " - 32 kiB data cache (+ 32 kiB instruction cache)\n", - " - Fastest memory (128 (load) + 64 (store)) B/cycle (latency: 4-5 cycles)\n", + " - Fastest memory (128 (load) + 64 (store)) B/cycle (latency: 4 cycles)\n", "* L2 (per core): \n", - " - 1 MiB\n", - " - 64 B/cycle (latency: 14 cycles)\n", + " - 512 KiB\n", + " - 64 B/cycle (latency: 13 cycles)\n", "* L3 (shared): \n", - " - 33 MiB\n", - " - ?? B/cycle (latency: 50-70 cycles)" + " - 256 MiB\n", + " - ?? B/cycle (latency: ~34 cycles on average)" ] }, { @@ -192,7 +191,7 @@ } }, "source": [ - "The memory bandwidth of a JUWELS node is about " + "The memory bandwidth of a JUSUF node is about " ] }, { @@ -203,7 +202,7 @@ } }, "source": [ - "120 GB/s. " + "190.7 GiB/s (~400 cycles latency)" ] }, { @@ -247,7 +246,7 @@ } }, "source": [ - "120 GB/s / 24 bytes/op = 5 Gop/s (multiply-add -> 10 GFLOP/s)" + "190 GB/s / 24 bytes/op = 8 Gop/s (multiply-add -> 16 GFLOP/s)" ] }, { @@ -258,7 +257,7 @@ } }, "source": [ - "I assume that we are dealing with double precision numbers (8 bytes). Then I have to read 3 * 8 bytes = 24 bytes and write 8 bytes. This is a multiply-add operation, so each core can do 40 billion of those per second, but it only receives 120 GB/s. 120GB/s / 24 B/op = 5Gop/s (10 GFLOP/s). This operation is clearly memory bound, if we have to get all the data from main memory." + "I assume that we are dealing with double precision numbers (8 bytes). Then I have to read 3 * 8 bytes = 24 bytes and write 8 bytes. This is a multiply-add operation, so each core can do 18 billion of those per second, but it only receives 190 GB/s. 190GB/s / 24 B/op = 8 Gop/s (16 GFLOP/s). This operation is clearly memory bound, if we have to get all the data from main memory." ] }, { @@ -280,7 +279,37 @@ } }, "source": [ - "This is quite common. Let's look at a matrix multiplication $C=AB$. To calculate the element i, j of the result matrix C, we multiply row i of A with column j of B and sum the results. This is the scalar or dot product of row i of A and column j of B. In code this looks like this:" + "This operation is quite common. Let's look at a matrix multiplication $C=AB$. To calculate the element i, j of the result matrix C, we multiply row i of A with column j of B and sum the results. This is the scalar or dot product of row i of A and column j of B. In code this looks like this:" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "```python\n", + "c = numpy.zeros((a.shape[0], b.shape[1])) \n", + "for i in range(a.shape[0]): \n", + " for j in range(b.shape[1]): \n", + " for k in range(a.shape[1]): \n", + " c[i, j] += a[i, k] * b[k, j]\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Let's make this into a proper function:" ] }, { @@ -288,8 +317,9 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ @@ -462,11 +492,11 @@ } }, "source": [ - "From our estimate above, we should be able to get at least twice this, but that's assuming we can achieve the maximum memory bandwidth. \n", + "From our estimate above, we should be able to get at least ten times this, but that's assuming we can achieve the maximum memory bandwidth. \n", "\n", - "A numpy ndarray uses C-order (row-order) for storage. This means that the last index is continuous in memory and a change in any other index results in a jump from one memory location to another. The order of the loops therefore means that for both c and b, we don't get the maximum bandwidth, because we jump around and only use one element of the cache line. \n", + "A numpy ndarray uses C-order (row-order) for storage. This means that the last index is continuous in memory and a change in any other index results in a jump from one memory location to another. The order of the loops therefore means that we don't get the maximum bandwidth for b, because we jump around and only use one element of the cache line. \n", "\n", - "A datum is not loaded by itself. Instead everytime, a datum is needed that is not available in cache, a cache line containing the datum is loaded. On JURECA the cache line is 64 bytes wide. \n", + "A datum is not loaded by itself. Instead everytime, a datum is needed that is not available in cache, a cache line containing the datum is loaded. On JUSUF the cache line is 64 bytes wide. Since we are using only 1/8 of the cache line we shouldn't see more than about 2 GFLOP/s.\n", "\n", "We can improve the performance by exchanging the loops:" ] @@ -515,7 +545,7 @@ } }, "source": [ - "Now, elements in c and b are accessed in the proper order and a[i, k] is constant for the loop. This changes our estimate, because, now we read 16 bytes/op. This gives us a maximum of 120 GB/s / 16 bytes/op = 7.5 GFLOP/s (15 GB/s). #Todo: shouldn't the last two not be gops and GFLOPs andtead of GFLOPs and GB/s??" + "Now, elements in b are accessed in the proper order and a[i, k] is constant for the loop. This changes our estimate, because, now we read 8 bytes/op in the innermost loop. This gives us a maximum of 190 GB/s / 8 bytes/op = 24 Gop/s (48 GFLOP/s)." ] }, { @@ -563,7 +593,7 @@ } }, "source": [ - "This is better than what we would expect from the bandwidth estimate, probably due to caching. One way to test this is to make the matrix larger, so that it doesn't fit in cache anymore." + "This is not much better. Let's take a look at a bigger matrix." ] }, { @@ -615,7 +645,9 @@ } }, "source": [ - "This is quite close to my estimate and shows that I have to increase the number of operations per byte loaded from main memory. Improving vectorization or using multiple threads wouldn't help.\n", + "This is even worse and corresponds to a bandwidth of about 8 GB/s.\n", + "\n", + "A possible explanation is that a single core may not be able to access the full bandwidth of the socket.\n", "\n", "To improve cache utilization, we have to change the algorithm. One way to improve the performance of the matrix multiplication is blocking (aka tiling). This is done, e.g., in OpenBLAS or Intel's Math Kernel Library (MKL)." ] @@ -642,6 +674,20 @@ "Let's see how long numpy takes for this:" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "import threadpoolctl" + ] + }, { "cell_type": "code", "execution_count": null, @@ -652,7 +698,9 @@ }, "outputs": [], "source": [ - "t_numpy = %timeit -o numpy.dot(a, b)" + "# Use only a single core\n", + "with threadpoolctl.threadpool_limits(limits=1, user_api='blas'):\n", + " t_numpy_single = %timeit -o numpy.dot(a, b)" ] }, { @@ -665,7 +713,35 @@ }, "outputs": [], "source": [ - "print(2e-9 * n**3 / t_numpy.best, \"GFLOP/s\") " + "print(2e-9 * n**3 / t_numpy_single.best, \"GFLOP/s (single core).\") " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "t_numpy_multi = %timeit -o numpy.dot(a, b)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "print(2e-9 * n**3 / t_numpy_multi.best, \"GFLOP/s (full node).\") " ] }, { @@ -676,7 +752,9 @@ } }, "source": [ - "The numpy version we use here, uses a fast math library. That's what you want." + "The numpy version we use here, uses a fast math library. That's what you want!\n", + "\n", + "This is still only a fraction of the theoretical peak performance. You can try bigger matrix sizes to see if things improve, but make sure to run them only with the numpy dot product." ] }, { @@ -720,7 +798,7 @@ } }, "source": [ - "Depending on your algorithm, different limits may be relevant, for example, we only used a single thread, but used the peak performance of the entire processor with 24 cores. If the data fits completely in L2 cache the available bandwidth is higher once the data has been loaded. The following shows a plot with a few more limits." + "Depending on your algorithm, different limits may be relevant, for example, we only used a single thread, but used the peak performance of the entire processor with 64 cores. If the data fits completely in L2 cache the available bandwidth is higher once the data has been loaded. The following shows a plot with a few more limits." ] }, { @@ -793,9 +871,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022 (local)", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -807,7 +885,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.1" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/02_NumPy_concepts.ipynb b/02_NumPy_concepts.ipynb index a2e401d..0a0138d 100644 --- a/02_NumPy_concepts.ipynb +++ b/02_NumPy_concepts.ipynb @@ -11,7 +11,7 @@ "# NumPy - an HPC perspective\n", "\n", "<div class=\"dateauthor\">\n", - "07 June 2021 | Olav Zimmermann\n", + "20 June 2022 | Olav Zimmermann\n", "</div>" ] }, @@ -50,8 +50,7 @@ } }, "source": [ - "NumPy is a library, written in C, to enable fast numerical computing in Python. Since its inception in 1995, NumPy has become the first choice for numeric data processing in python. The main sacrifice to enable its high speed is the restriction to \n", - "containers with uniform memory layout, i.e., arrays that contain items of uniform static datatype." + "NumPy is a library, written in C, to enable fast numerical computing in Python. Since its inception in 1995, NumPy has become the first choice for numeric data processing in python. As numpy derives its speed from SIMD parallel processing, numpy requires containers with uniform memory layout, i.e., arrays that contain items of uniform static datatype." ] }, { @@ -97,7 +96,10 @@ } }, "source": [ - "NumPy does not implement everything itself. Instead it uses the fact that with BLAS (low level routines), and LAPACK (high level routines, based on BLAS), two widely adopted interfaces for linear algebra routines exist and that for almost all distributions and operation systems at least one library suporting the BLAS/LAPACK interface exists." + "NumPy does not implement everything itself. Instead it uses the fact that with [BLAS][] (low level routines), and [LAPACK][] (high level routines, based on BLAS), two widely adopted interfaces for linear algebra routines exist and that for almost all distributions and operation systems at least one library supporting the BLAS/LAPACK interface exists.\n", + "\n", + "[BLAS]: https://en.wikipedia.org/wiki/Basic_Linear_Algebra_Subprograms\n", + "[LAPACK]: https://en.wikipedia.org/wiki/LAPACK" ] }, { @@ -108,10 +110,11 @@ } }, "source": [ - "While not mandatory, NumPy can be linked against high performance linear algebra libraries such as Intel's MKL, AMD's BLIS or IBM's ESSL folowing the BLAS/LAPACK APIs. These libraries can give you speed-ups of up to two orders of magnitude compared to the standard LAPACK library. In fact a number of distributions provide numpy implementations that are statically linked to Intel's MKL and when building, NumPy gives a preference to the optimized libraries (MKL, BLIS) over the slower, more hardware independent libraries (OpenBLAS, ATLAS).\n", + "While not mandatory, NumPy can be linked against high performance linear algebra libraries such as Intel's MKL, AMD's BLIS or IBM's ESSL following the BLAS/LAPACK APIs. These libraries can give you speed-ups of up to two orders of magnitude compared to the standard LAPACK library. In fact a number of distributions provide numpy implementations that are statically linked to Intel's MKL and when building, NumPy gives a preference to the optimized libraries (MKL, BLIS) over the slower, more hardware independent libraries (OpenBLAS, ATLAS).\n", "\n", "**Notes:** \n", - "- Not all routines of MKL are necessarily faster than those in OpenBLAS, e.g. random number generation. \n", + "- Not all routines of MKL are necessarily faster than those in OpenBLAS, e.g. random number generation.\n", + "- By default NumPy only links the linear algebra routines to MKL. On PyPi you can find packages that wrap MKL's FFT and random number generation functions in Python.\n", "- By default NumPy prefers Intel MKL over AMD BLIS, even on AMD processors. MKL works with AMD processors, but by default does not use the fast AVX2 and AVX512 BLAS routines that it uses when it has detected Intel hardware but only the much slower SSE2 routines. While there are hacks to change that behaviour it may therefore be more reasonable to change the order of preference for the different BLAS libraries on AMD platforms." ] }, @@ -311,13 +314,15 @@ "source": [ "<table>\n", " <tr><th>package/module</th><th>extension(s)</th><th>other HPC relevant characteristics</th></tr>\n", - " <tr><td><code><b>cuPy</b></code></td><td>cuPy array: subset of ndarray functionality</td><td>ndarrays on GPUs</td></tr>\n", - " <tr><td><code><b>pandas</b></code></td><td>pandas dataframe: labeled data, non-numerical data, multi-indexing, grouping</td><td>fast CSV-parser</td></tr>\n", - " <tr><td><code><b>cuDF</b></code></td><td>cuDF dataframe: subset of pandas dataframe functionality</td><td>pandas dataframes on GPUs</td></tr>\n", - " <tr><td><code><b>dask</b></code></td><td>dask array: only subset of ndarray functionality</td><td>tiled ndarrays larger than main memory, distributed processing on multiple nodes</td></tr>\n", - " <tr><td><code><b>dask</b></code></td><td>dask dataframe: only subset of pandas dataframe functionality</td><td>tiled dataframes larger than main memory, distributed processing on multiple nodes</td></tr>\n", - " <tr><td><code><b>dask-cuDF</b></code></td><td>cuDF dataframe: subset of pandas dataframe functionality</td><td>tiled dataframes on multiple GPUs and multiple nodes</td></tr>\n", - " <tr><td><code><b>sparse</b></code></td><td>ndarray functionality on sparse arrays (COO layout)</td><td></td></tr></table>" + " <tr><td><code><b><a href=\"https://cupy.dev/\">CuPy</a></b></code></td><td>cuPy array: subset of ndarray functionality</td><td>ndarrays on GPUs</td></tr>\n", + " <tr><td><code><b><a href=\"https://pandas.pydata.org/\">pandas</a></b></code></td><td>pandas dataframe: labeled data, non-numerical data, multi-indexing, grouping</td><td>fast CSV-parser</td></tr>\n", + " <tr><td><code><b><a href=\"https://github.com/rapidsai/cudf\">cuDF</a></b></code></td><td>cuDF dataframe: subset of pandas dataframe functionality</td><td>pandas dataframes on GPUs</td></tr>\n", + " <tr><td><code><b><a href=\"https://www.dask.org/\">dask</a></b></code></td><td>dask array: only subset of ndarray functionality</td><td>tiled ndarrays larger than main memory, distributed processing on multiple nodes</td></tr>\n", + " <tr><td><code><b><a href=\"https://www.dask.org/\">dask</a></b></code></td><td>dask dataframe: only subset of pandas dataframe functionality</td><td>tiled dataframes larger than main memory, distributed processing on multiple nodes</td></tr>\n", + " <tr><td><code><b><a href=\"https://docs.rapids.ai/api/cudf/nightly/user_guide/10min.html\">dask-cuDF</a></b></code></td><td>cuDF dataframe: subset of pandas dataframe functionality</td><td>tiled dataframes on multiple GPUs and multiple nodes</td></tr>\n", + " <tr><td><code><b><a href=\"https://sparse.pydata.org/en/0.13.0/\">sparse</a></b></code></td><td>ndarray functionality on sparse arrays (COO layout)</td><td></td></tr>\n", + " <tr><td><code><b><a href=\"https://docs.scipy.org/doc/scipy/reference/sparse.html\">SciPy.sparse</a></b></code></td><td>ndarray functionality on sparse arrays (all layouts)</td><td></td></tr>\n", + " </table>" ] }, { @@ -328,7 +333,12 @@ } }, "source": [ - "Notable packages that do not implement the ndarray interface are `numpy.matrix, scipy.sparse, pytorch, JAX` while `tensorflow` has an experimental interface." + "One notable package that does not implement the ndarray interface is `numpy.matrix` while most ML frameworks have recently added experimental (i.e. incomplete) interfaces or are working on them like [JAX/XLA][], [tensorflow][], and [pytorch][]. As data structures in these packages differ regarding their allowed access (many packages implement tensors as immutable types) and their memory alignment requirements (some require 16 byte alignments) their functionality often covers only a small subset of the full ndarray capabilities. There are a lot of discussions ongoing how to arrive at a more universal array/tensor interface (see e.g. [here][]). \n", + "\n", + "[here]: https://discuss.scientific-python.org/t/a-proposed-design-for-supporting-multiple-array-types-across-scipy-scikit-learn-scikit-image-and-beyond/131/18\n", + "[JAX/XLA]: https://github.com/google/jax/issues/4486\n", + "[pytorch]: https://github.com/pytorch/pytorch/issues/54138\n", + "[tensorflow]: https://www.tensorflow.org/guide/tf_numpy" ] }, { @@ -345,9 +355,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -359,7 +369,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/03_ThinkVector.ipynb b/03_ThinkVector.ipynb index 9140a36..06b96d5 100644 --- a/03_ThinkVector.ipynb +++ b/03_ThinkVector.ipynb @@ -11,7 +11,7 @@ "# Think Vector\n", "\n", "<div class=\"dateauthor\">\n", - "07 June 2021 | Jan H. Meinke\n", + "20 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -57,7 +57,12 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, "outputs": [], "source": [ "# Create a random number generator that uses the Mersenne-Twister bit generator.\n", @@ -453,8 +458,8 @@ "outputs": [], "source": [ "A_orig = numpy.random.random((10, 10))\n", - "A_orig[:,0] = 0\n", - "A_orig[:,-1] = 1" + "A_orig[:, 0] = 0\n", + "A_orig[:, -1] = 1" ] }, { @@ -506,7 +511,7 @@ "source": [ "for i in range(A.shape[0]):\n", " for j in range(1, A.shape[1] - 1):\n", - " B[i, j] = 0.25 * (A[(i + 1) % A.shape[0] , j] + A[i - 1, j] \n", + " B[i, j] = 0.25 * (A[(i + 1) % A.shape[0], j] + A[i - 1, j] \n", " + A[i, (j + 1)] + A[i, j - 1])" ] }, @@ -711,6 +716,133 @@ "Since it is impracticable to calculate an infinite number of iterations, one usually sets an upper limit for the number of iterations (the maximum of *i* ), for example, 20. To get pretty pictures, we can map the value of *i* for which $|z_i|>2$ is true for the first time to a color." ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Interlude complex numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For real numbers $\\sqrt{-1}$ is not defined, but if we just imagine (i.e., define) it to be $i:=\\sqrt{-1}$ we get complex numbers." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Complex numbers have two components a real and an imaginary part. The imaginary part is marked by *i*, e.g., 0 + 0i, 1 + 0.5i, 0.4 + 2i, or 0 + 3.14i. You can think of these as coordinates in a plane where the x-axis represents the real and the y-axis represents the imaginary part. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Complex numbers in a plane" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [] + }, + "outputs": [], + "source": [ + "C = numpy.array([0 + 0j, 1 + 0.5j, 0.4 + 2j, 3.14j])\n", + "plt.scatter(C.real, C.imag)\n", + "plt.xlabel(\"Real\")\n", + "ax = plt.ylabel(\"Imaginary\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Complex arithmetic" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "If we want to add two complex numbers, we add the real and imaginary parts separately just like we would do for vectors, e.g., " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "(1 + 0.5i) + (0.57 + 3.14i) = (1.57 + 3.64i)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "Multiplying to complex numbers is more interesting: " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "(1 + 0.5i)(0.57 + 3.14i) = 0.57 + 3.14i + 0.285i + 1.57i<sup>2</sup>. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Since $i^2 = -1$ this becomes 0.57 + 3.14i + 0.285i - 1.57 = -1 + 3.425i." + ] + }, { "cell_type": "markdown", "metadata": { @@ -719,7 +851,33 @@ } }, "source": [ - "Here is a function that does this:" + "Lucky for us Python knows how to work with complex numbers. It uses `1j` to represent the imaginary number, e.g., `c = 0.4 + 2j`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "print(f\"(1 + 0.5j) + (0.57 + 3.14j) = {(1 + 0.5j) + (0.57 + 3.14j):.3f}\\n(1 + 0.5j) * (0.57 + 3.14j) = {(1 + 0.5j) * (0.57 + 3.14j):.3f}.\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "In short, we can use complex numbers just like any other numerical type. Here is a function that calculates the series and return the iteration at which $|z| > 2$:" ] }, { @@ -799,6 +957,11 @@ "**Hints:** \n", "\n", "* You can use `numpy.meshgrid()` to generate your 2D array of points.\n", + " \n", + " If you have `x = numpy.array([-1.1, -1, 0, 1.2])` and `y = numpy([-0.5j, 0j, 0.75j])` and call `XX, YY = numpy.meshgrid(x, y)`, it returns two arrays of shape 3 by 4. The first one contains 3 rows where each row is a copy of x. The second one contains 4 columns where each colomn is a copy of y.\n", + " \n", + " Now you can add those two array to get points in the complex plane. `P = XX + YY`.\n", + " \n", "* You somehow need to mask the points that already diverged in future iterations.\n", "* You don't have to put this in a function" ] @@ -806,26 +969,21 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy \n", - "numpy.meshgrid?" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022 (local)", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -837,7 +995,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/04_Particle Dynamics.ipynb b/04_Particle Dynamics.ipynb index f35acdc..6ef39a8 100644 --- a/04_Particle Dynamics.ipynb +++ b/04_Particle Dynamics.ipynb @@ -7,7 +7,7 @@ "source": [ "# Particle Dynamics with Python\n", "<div class=\"dateauthor\">\n", - "07 June 2021 | Jan H. Meinke\n", + "20 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -30,7 +30,7 @@ "metadata": {}, "outputs": [], "source": [ - "%matplotlib widget" + "%matplotlib inline" ] }, { @@ -49,7 +49,7 @@ "where $\\mathbf F$ is the force, $m$ the mass, and $\\mathbf a$ the acceleration. $\\mathbf F$ and \n", "$\\mathbf a$ are vectors.\n", "\n", - "In general, this problem is only solvable analytically for two particles. If there are more \n", + "In general, this problem is solvable analytically for two particles only . If there are more \n", "particles, we have to look for a numerical solution.\n", "\n", "You may remember that you can calculate the velocity $\\mathbf v$ of a particle as\n", @@ -327,9 +327,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -341,7 +341,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/05_Profiling a simple md code.ipynb b/05_Profiling a simple md code.ipynb index 851adf7..1590da7 100644 --- a/05_Profiling a simple md code.ipynb +++ b/05_Profiling a simple md code.ipynb @@ -10,7 +10,7 @@ "source": [ "# Profiling\n", "<div class=\"dateauthor\">\n", - "07 June 2021 | Jan H. Meinke\n", + "21 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -58,6 +58,30 @@ "Intel Advisor since 2017 beta" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Scalene" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "..." + ] + }, { "cell_type": "markdown", "metadata": { @@ -626,9 +650,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022 (local)", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -640,7 +664,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/08_LocalParallel.ipynb b/06_LocalParallel.ipynb similarity index 98% rename from solutions/08_LocalParallel.ipynb rename to 06_LocalParallel.ipynb index 6bb08b7..7124fa5 100644 --- a/solutions/08_LocalParallel.ipynb +++ b/06_LocalParallel.ipynb @@ -11,7 +11,7 @@ "# Interactive Parallel Computing with IPython Parallel\n", "\n", "<div class=\"dateauthor\">\n", - "08 June 2021 | Jan H. Meinke\n", + "21 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -27,16 +27,16 @@ "\n", "Click on the ``+``-sign at the top of the Files tab on the left to start a new launcher. In the launcher click on Terminal. A terminal will open as a new tab. Grab the tab and pull it to the right to have the terminal next to your notebook.\n", "\n", - "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2114/hpcpy21`.\n", + "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2219/hpcpy22`.\n", "\n", "In the terminal type ``ipcluster``. You'll see the help message telling you that you need to give it subcommand. Take a look at the message and then enter \n", "\n", "``` bash\n", - "export OMP_NUM_THREADS=12\n", + "export OMP_NUM_THREADS=32\n", "ipcluster start --n=4\n", "```\n", "\n", - "This will start a cluster with four engines and should limit the number of threads to 12 threads per engine to avoid oversubscription.\n", + "This will start a cluster with four engines and should limit the number of threads to 32 threads per engine to avoid oversubscription.\n", "\n", "> If you use the classical [Jupyter][IP] notebook, this is even easier if you have the cluster extension installed. (We don't have that one on our JupyterHub, yet). One of the tabs of your browser has the title \"Home\". If you switch to that tab, there are several tabs within the web page. One of them is called \"IPython Clusters\". Click on \"IPython Clusters\", increase the number of engines in the \"default\" profile to 4, and click on Start. The status changes from stopped to running. After you did that come back to this tab.\n", "\n", @@ -462,6 +462,22 @@ "Magic commands are blocking by default, i.e., the next cell can only be executed after all the engines have finished their work. We can pass the option ``--noblock`` to change that behavior." ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%px\n", + "import threadpoolctl\n", + "threadpoolctl.threadpool_limits(limits=32, user_api='blas')" + ] + }, { "cell_type": "code", "execution_count": null, @@ -1788,11 +1804,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, + "metadata": {}, "outputs": [], "source": [] } @@ -1800,9 +1812,9 @@ "metadata": { "celltoolbar": "Slideshow", "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1814,7 +1826,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/09_LocalTaskParallel.ipynb b/07_LocalTaskParallel.ipynb similarity index 99% rename from solutions/09_LocalTaskParallel.ipynb rename to 07_LocalTaskParallel.ipynb index 0d7e42b..06251ec 100644 --- a/solutions/09_LocalTaskParallel.ipynb +++ b/07_LocalTaskParallel.ipynb @@ -336,9 +336,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -350,7 +350,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/10_Numba vectorize.ipynb b/08_Numba vectorize.ipynb similarity index 98% rename from 10_Numba vectorize.ipynb rename to 08_Numba vectorize.ipynb index aa68cb0..41f7143 100644 --- a/10_Numba vectorize.ipynb +++ b/08_Numba vectorize.ipynb @@ -11,7 +11,7 @@ "# Numba vectorize\n", "\n", "<div class=\"dateauthor\">\n", - "08 June 2021 | Jan H. Meinke\n", + "21 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -540,9 +540,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -554,7 +554,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/11_NumbaIntro.ipynb b/09_NumbaIntro.ipynb similarity index 99% rename from 11_NumbaIntro.ipynb rename to 09_NumbaIntro.ipynb index f321ee2..58c653a 100644 --- a/11_NumbaIntro.ipynb +++ b/09_NumbaIntro.ipynb @@ -11,7 +11,7 @@ "# Introduction to Numba's jit compiler\n", "\n", "<div class=\"dateauthor\">\n", - "08 June 2021 | Jan H. Meinke\n", + "22 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -1184,9 +1184,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1198,7 +1198,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/12_Speeding up your code with Cython.ipynb b/10_Speeding up your code with Cython.ipynb similarity index 97% rename from 12_Speeding up your code with Cython.ipynb rename to 10_Speeding up your code with Cython.ipynb index 732e0f6..571852b 100644 --- a/12_Speeding up your code with Cython.ipynb +++ b/10_Speeding up your code with Cython.ipynb @@ -20,7 +20,7 @@ }, "source": [ "<div class=\"dateauthor\">\n", - "09 June 2021 | Jan H. Meinke\n", + "22 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -82,7 +82,8 @@ }, "outputs": [], "source": [ - "import numpy" + "import numpy\n", + "import threadpoolctl" ] }, { @@ -510,7 +511,7 @@ }, "outputs": [], "source": [ - "%%cython --compile-args=-O2 --compile-args=-march=native --force\n", + "%%cython --compile-args=-O2 --compile-args=-march=native --compile-args=-w --force \n", "import numpy as np\n", "cimport numpy as np\n", "cimport cython\n", @@ -588,7 +589,7 @@ }, "outputs": [], "source": [ - "%%cython --compile-args=-fopenmp --compile-args=-O2 --compile-args=-march=native --link-args=-fopenmp --force\n", + "%%cython --compile-args=-fopenmp --compile-args=-O2 --compile-args=-march=native --compile-args=-w --link-args=-fopenmp --force\n", "import numpy as np\n", "cimport numpy as np\n", "cimport cython\n", @@ -618,7 +619,10 @@ }, "outputs": [], "source": [ - "dot6_timing = %timeit -o dot(v,w)" + "# Let's limit the number of threads we use since the overhead for 256 threads would \n", + "# kill any chance of improved performance. You can play around with the number.\n", + "with threadpoolctl.threadpool_limits(16):\n", + " dot6_timing = %timeit -o dot(v,w)" ] }, { @@ -724,7 +728,9 @@ } }, "source": [ - "So far we have used IPython and the Cython magic to build and test our extension within a notebook. Once we are satisfied and want to put our extension in production, we want to be able to build the extension without IPython. The recommended way to do that is to use `distutils` and a `setup.py` file." + "So far we have used IPython and the Cython magic to build and test our extension within a notebook. Once we are satisfied and want to put our extension in production, we want to be able to build the extension without IPython. The recommended way to do that is to use `distutils` and a `setup.py` file.\n", + "\n", + "Note that distutils has been marked as deprecated as of Python 3.10, but we are still using Python 3.9.x on our systems." ] }, { @@ -1024,7 +1030,8 @@ "v = np.arange(10000000, dtype=int)\n", "w = np.arange(10000000, dtype=int)\n", "%timeit -n 1 pydot(v,w)\n", - "%timeit dot(v,w)\n", + "with threadpoolctl.threadpool_limits(16):\n", + " %timeit dot(v,w)\n", "%timeit udot(v,w)\n", "%timeit np.dot(v,w)" ] @@ -1263,9 +1270,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022 (local)", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1277,7 +1284,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/13_Writing your own Python bindings.ipynb b/11_Writing your own Python bindings.ipynb similarity index 98% rename from 13_Writing your own Python bindings.ipynb rename to 11_Writing your own Python bindings.ipynb index e8371ed..78dabd2 100644 --- a/13_Writing your own Python bindings.ipynb +++ b/11_Writing your own Python bindings.ipynb @@ -16,7 +16,7 @@ "metadata": {}, "source": [ "<div class=\"dateauthor\">\n", - "09 June 2021 | Jan H. Meinke\n", + "22 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -92,7 +92,7 @@ "\n", "Wait until the build has finished and then continue with this notebook.\n", "\n", - "**Tip:** You can open a terminal from within JupyterLab by going to File->New->Terminal. To get the right environment in a terminal `source $PROJECT_training2114/hpcpy21`." + "**Tip:** You can open a terminal from within JupyterLab by going to File->New->Terminal. To get the right environment in a terminal `source $PROJECT_training2119/hpcpy22`." ] }, { @@ -255,7 +255,7 @@ "We can access Fortran functions almost like C functions. The exact function name may differ, though. The default symbol \n", "when compiled with ifort or gfortran is ``word_frequency_``. This can be changed with the option `-fno-underscoring` (gcc) or `-assume nounderscore` (Intel).\n", "\n", - "On JUWELS, we are using the Intel Fortran compiler ifort. " + "Here, we are using the gfortram. " ] }, { @@ -268,7 +268,7 @@ "source": [ "### Exercise\n", "Use the terminal that you used earlier to run `build.sh` or open a new one. Make sure you are in the \n", - "tutorial directory. Source `hpcpy21` using `source hpcpy21`. Change into code/textstats/ and compile \n", + "tutorial directory. Source `hpcpy22` using `source $PROJECT/hpcpy22`. Change into code/textstats/ and compile \n", "the file word_frequency.F90 with the following command:\n", "\n", "```bash\n", @@ -418,7 +418,7 @@ }, "outputs": [], "source": [ - "%%cython -a\n", + "%%cython -a --compile-args=-w\n", "import numpy\n", "cimport numpy # Make C-style calls available\n", "cimport cython\n", @@ -1136,7 +1136,7 @@ " py::class_<Point3D>(m, \"Point3D\")\n", " .def(py::init<double, double, double>())\n", " .def(py::init<std::vector<double>>())\n", - " .def(\"translate\", (void (Point3D::*)(double, double, double)) &Point3D::translate,\n", + " .def(\"translate\", py::overload_cast<double, double, double>(&Point3D::translate),\n", " R\"doc(Move this point by (dx, dy, dz).\n", " \n", " Parameters\n", @@ -1481,9 +1481,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1495,7 +1495,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/15_Introduction to MPI.ipynb b/12_Introduction to MPI.ipynb similarity index 80% rename from 15_Introduction to MPI.ipynb rename to 12_Introduction to MPI.ipynb index 36abfc6..8a0c0e3 100644 --- a/15_Introduction to MPI.ipynb +++ b/12_Introduction to MPI.ipynb @@ -11,7 +11,7 @@ "# Introduction to MPI\n", "\n", "<div class=\"dateauthor\">\n", - "10 June 2021 | Jan H. Meinke\n", + "23 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -58,7 +58,7 @@ } }, "source": [ - "MPI processes talk to each other via communicators. The global communicator `MPI.COMM_WORLD` connects all MPI processes. Each process has a unique *rank* within `MPI.COMM_WORLD`. The process with `rank=0` is usually called the root process. MPI processes can participate in different communicators and may have a different rank in these communicators." + "MPI processes talk to each other via *communicators*. The global communicator `MPI.COMM_WORLD` connects all MPI processes. Each process has a unique *rank* within `MPI.COMM_WORLD`. The process with `rank=0` is usually called the root process. MPI processes can participate in different communicators and may have a different rank in these communicators." ] }, { @@ -172,68 +172,64 @@ } }, "source": [ - "You can find more information about MPI at http://materials.jeremybejarano.com/MPIwithPython/index.html, the documentation of mpi4py at https://mpi4py.readthedocs.io/en/stable/ (take a look at the tutorials), and the API reference at https://mpi4py.bitbucket.io/apiref/index.html." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy\n", - "from matplotlib import pyplot as plt" + "You can find more information about MPI at http://materials.jeremybejarano.com/MPIwithPython/index.html and the documentation of mpi4py at https://mpi4py.readthedocs.io/en/stable/ (take a look at the tutorials and the reference section)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, "source": [ - "## Starting the engines" + "Importing MPI initializes MPI and sets up the default communicator `COMM_WORLD`, which includes all processes involved in this MPI program.\n", + "\n", + "Using `COMM_WORLD`, each process can determine its *rank* and the total number of ranks available:" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, + "outputs": [], "source": [ - "**Note, this is only needed to run MPI programs from a Jupyter notebook.**" + "%%writefile hello_mpi.py\n", + "from mpi4py import MPI\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "print(f\"I'm {rank + 1} of {size}. Resistance is futile.\")" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { - "slide_type": "notes" - } + "slide_type": "skip" + }, + "tags": [] }, + "outputs": [], "source": [ - "We can use ipyparallel to run MPI from a notebook. To do that, we need to start some IPython engines. " + "!srun --pty -n 4 -p batch -A slbio python3 hello_mpi.py " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "notes" + "slide_type": "slide" } }, "source": [ - "Click on the ``+``-sign at the top of the Files tab on the left to start a new launcher. In the launcher click on Terminal. A terminal will open as a new tab. Grab the tab and pull it to the right to have the terminal next to your notebook.\n", - "\n", - "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2114/hpcpy21`." + "## Point to point" ] }, { @@ -244,36 +240,36 @@ } }, "source": [ - "Next start the ipcontroller: `ipcontroller &`. After that we can launch 4 MPI tasks with 12 threads each like this\n", - "\n", - "```bash\n", - "export OMP_NUM_THREADS=12\n", - "srun -n 4 -c 12 --ntasks-per-node 4 ipengine start\n", - "```\n", + "We can send messages from one rank to another. \n", "\n", - "**Note**, you can can start the controller and the engines in separate terminals. That will keep the output separate." + "The sender will use `Send` and the receiver a corresponding `Recv`." ] }, { "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, + "metadata": {}, "source": [ - "## Connecting to the engines" + "```python\n", + "if rank == 0:\n", + " print (\"I'm rank zero and I'm sending a datum.\")\n", + " comm.Send(a[0], dest = 1) # Default destination is 0!\n", + "elif rank == 1:\n", + " print (\"I'm rank one and I'm receiving a datum.\")\n", + " comm.Recv(b, source = 0) # Default source is 0!\n", + "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, "source": [ - "Next, we want to connect to the engines:" + "The `buf` argument needs to implement the [buffer protocol](https://docs.python.org/3/c-api/buffer.html). This is true, for example, for numpy arrays, but not for primitive types such as float. That's the reason we use `numpy.ones` and `numpy.zeros` of size 1 below.\n", + "\n", + "The following exercises will only work if more than one process is available." ] }, { @@ -286,8 +282,26 @@ }, "outputs": [], "source": [ - "from ipyparallel import Client\n", - "rc = Client()" + "%%writefile hello_ptp.py\n", + "import sys\n", + "import numpy\n", + "from mpi4py import MPI\n", + "\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "\n", + "a = numpy.ones(1)\n", + "b = numpy.zeros(1)\n", + "if (size < 2):\n", + " print (\"Warning! Not enough ranks available!\" )\n", + "else:\n", + " if rank == 0:\n", + " print (\"I'm rank zero and I'm sending a datum.\")\n", + " comm.Send(a[0], dest = 1) # Default destination is 0!\n", + " elif rank == 1:\n", + " print (\"I'm rank one and I'm receiving a datum.\")\n", + " comm.Recv(b, source = 0) # Default source is 0!\n" ] }, { @@ -296,48 +310,34 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "rc.ids" + "!srun --pty -n 4 -p batch -A training2219 --time 00:10:00 python3 hello_ptp.py" ] }, { "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "Next, we need to create a view and activate it." - ] - }, - { - "cell_type": "code", - "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" } }, - "outputs": [], "source": [ - "view = rc[:]\n", - "view.activate()\n", - "view.block = True" + "**Note**, how we used `rank` to perform different work on the task with rank 0 and the task with rank 1 using if statements. This is a common pattern in MPI programs. The task with rank 0 is often referred to as *root*." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "subslide" } }, "source": [ - "## Setting up for MPI" + "### Sendrecv" ] }, { @@ -348,25 +348,21 @@ } }, "source": [ - "We are now ready to use MPI with our IPython notebook.\n", - "\n", - "We will use the cell magic ``%%px`` and the line magic ``%px`` to execute commands on all the engines. So, whenenver you see ``%%px`` the cell is executed on *all* the engines, but not in the process that controls your notebook!\n", - "\n", - "**Note**: Everything that appears *after* ``%%px`` and ``%px`` would be part of a regular mpi4py program." + "If you need to send data to another rank and receive data from the same rank, combining `Send` and `Recv` command is dangerous and easily leads to deadlocks. Use `Sendrecv` instead." ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], + "cell_type": "markdown", + "metadata": {}, "source": [ - "%px from mpi4py import MPI # Import and initialize MPI on the engines\n", - "#from mpi4py import MPI # Import and initialize MPI in the notebook " + "```python\n", + "if rank == 0:\n", + " comm.Sendrecv(a, 1, recvbuf=b, source=1)\n", + " print(f\"[{rank}] {b[0]}\")\n", + "elif rank == 1:\n", + " comm.Sendrecv(a, 0, recvbuf=b, source=0)\n", + " print(f\"[{rank}] {b[0]}\")\n", + "```" ] }, { @@ -375,40 +371,27 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "%px import numpy" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "Importing MPI initializes the MPI and sets up the default communicator `COMM_WORLD`, which includes all processes involved in this MPI program.\n", + "%%writefile hello_sendrecv.py\n", + "import numpy\n", + "from mpi4py import MPI\n", "\n", - "Using `COMM_WORLD`, each process can determine its *rank* and the total number of ranks available:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "subslide" - } - }, - "outputs": [], - "source": [ - "%%px\n", "comm = MPI.COMM_WORLD\n", "rank = comm.Get_rank()\n", - "size = comm.Get_size()" + "size = comm.Get_size()\n", + "\n", + "a = numpy.ones(1, dtype=int) * rank\n", + "b = numpy.ones(1, dtype=int) * rank\n", + "if rank == 0:\n", + " comm.Sendrecv(a, 1, recvbuf=b, source=1)\n", + " print(f\"[{rank}] {b[0]}\")\n", + "elif rank == 1:\n", + " comm.Sendrecv(a, 0, recvbuf=b, source=0)\n", + " print(f\"[{rank}] {b[0]}\")\n" ] }, { @@ -416,13 +399,13 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", - "print(\"I'm %d of %d. Resistance is futile.\" % (rank + 1, size))" + "!srun --pty -n 4 -p batch -A training2219 --time 00:10:00 python3 hello_sendrecv.py" ] }, { @@ -433,70 +416,7 @@ } }, "source": [ - "## Point to point" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "We can send messages from one rank to another. \n", - "\n", - "The sender will use `Send` and the receiver a corresponding `Recv`. To get the doc string, you can run" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "%%px --target 0 \n", - "help(MPI.Comm.Send)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "The `buf` argument needs to implement the [buffer protocol](https://docs.python.org/3/c-api/buffer.html). This is true, for example, for numpy arrays, but not for primitive types such as float. That's the reason we use `numpy.ones` and `numpy.zeros` of size 1 below.\n", - "\n", - "The following exercises will only work if more than one process is available." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%%px\n", - "import sys\n", - "import numpy\n", - "comm = MPI.COMM_WORLD\n", - "a = numpy.ones(1)\n", - "b = numpy.zeros(1)\n", - "if (size < 2):\n", - " print (\"Warning! Not enough ranks available!\" )\n", - "else:\n", - " if rank == 0:\n", - " print (\"I'm rank zero and I'm sending a datum.\")\n", - " comm.Send(a[0], dest = 1) # Default destination is 0!\n", - " elif rank == 1:\n", - " print (\"I'm rank one and I'm receiving a datum.\")\n", - " comm.Recv(b, source = 0) # Default source is 0!\n" + "## Parallel reduction" ] }, { @@ -507,18 +427,26 @@ } }, "source": [ - "**Note**, how we used `rank` to perform different work on the task with rank 0 and the task with rank 1 using if statements. This is a common pattern in MPI programs. The task with rank 0 is often referred to as *root*." + "We'll first generate an array of random number on rank 0 and distribute (`Scatter`) it to all ranks:" ] }, { "cell_type": "markdown", "metadata": { - "slideshow": { - "slide_type": "subslide" - } + "tags": [] }, "source": [ - "### Sendrecv" + "```python\n", + "a_partial = numpy.empty(N)\n", + "if rank == 0:\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = rng.uniform(size=N * size)\n", + "else:\n", + " a = numpy.empty(1)\n", + "\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "```\n", + "Note that `a` and `a_partial` are defined for all ranks!" ] }, { @@ -526,38 +454,26 @@ "metadata": { "slideshow": { "slide_type": "notes" - } + }, + "tags": [] }, "source": [ - "If you need to send data to another rank and receive data from the same rank, combining `Send` and `Recv` command is dangerous and easily leads to deadlocks. Use `Sendrecv` instead." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "%%px\n", - "a = numpy.ones(1) * rank\n", - "b = numpy.ones(1) * rank\n", - "if rank == 0:\n", - " comm.Sendrecv(a, 1, recvbuf=b, source=1)\n", - " print(f\"[{rank}] {b[0]}\")\n", - "elif rank == 1:\n", - " comm.Sendrecv(a, 0, recvbuf=b, source=0)\n", - " print(f\"[{rank}] {b[0]}\")\n" + "Next, we'll sum up the partial results and then use sum up (`reduce`) the partial results:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" - } + "slide_type": "fragment" + }, + "tags": [] }, "source": [ - "## Parallel reduction" + "```python\n", + "sum_partial = numpy.sum(a_partial)\n", + "total = comm.reduce(sum_partial)\n", + "```" ] }, { @@ -565,10 +481,11 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "source": [ - "We'll generate an array of random number on rank 0 and distribute (scatter) it to all ranks." + "Let's put this all together:" ] }, { @@ -576,19 +493,35 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", + "%%writefile mpi_reduction.py\n", + "import numpy\n", + "from mpi4py import MPI\n", + "\n", "N = 1000\n", + "\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "\n", "a_partial = numpy.empty(N)\n", "if rank == 0:\n", " rng = numpy.random.Generator(numpy.random.MT19937())\n", " a = rng.uniform(size=N * size)\n", "else:\n", - " a = numpy.empty(1)" + " a = numpy.empty(1)\n", + "\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "\n", + "sum_partial = numpy.sum(a_partial)\n", + "total = comm.reduce(sum_partial)\n", + "if rank == 0:\n", + " print(\"The sum of the random numbers is %f. The average is %f.\" % (total, total / len(a)))" ] }, { @@ -603,17 +536,15 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, - "outputs": [], "source": [ - "%%px\n", - "comm.Scatter(a, a_partial, root = 0)" + "Let's run it on a node:" ] }, { @@ -621,16 +552,13 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", - "sum_partial = numpy.sum(a_partial)\n", - "total = comm.reduce(sum_partial)\n", - "if rank == 0:\n", - " print(\"The sum of the random numbers is %f. The average is %f.\" % (total, total / len(a)))" + "!srun -n 4 -p batch -A training2219 --time 00:10:00 python3 mpi_reduction.py" ] }, { @@ -652,40 +580,28 @@ } }, "source": [ - "`mpi4py` offers two version of many calls. The first one is written in uppercase. It uses memory buffers, e.g., `np.array`, and maps the call directly to the appropriate C call. The second version is written in lower case and takes arbitrary Python object. The result is given as the return value. Note, that for the uppercase versions all a_partial must have the same size!" + "`mpi4py` offers two version of many calls. The first one is written in uppercase. It uses memory buffers, e.g., `np.array`, and maps the call directly to the appropriate C call. The second version is written in lower case and takes arbitrary Python object. The result is given as the return value. Note, that for the uppercase versions all `a_partial` must have the same size!" ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], + "cell_type": "markdown", + "metadata": {}, "source": [ - "%%px\n", + "```python\n", + "a_partial = numpy.empty(N)\n", + "if rank == 0:\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = rng.uniform(size=N * size)\n", + "else:\n", + " a = numpy.empty(1)\n", + "\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "\n", "a_all = None\n", "if rank == 0:\n", " a_all = numpy.empty([size, len(a_partial)], dtype='f8')\n", "comm.Gather(a_partial, a_all, root=0)\n", - "if rank == 0:\n", - " print(type(a_all))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%%px\n", - "%timeit comm.Gather(a_partial, a_all, root=0) # Don't use %timeit outside IPython." + "```" ] }, { @@ -693,10 +609,11 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "source": [ - "The following works independent of the size of a_partial:" + "And the complete program:" ] }, { @@ -704,69 +621,123 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", - "a_all = comm.gather(a_partial)\n", + "%%writefile mpi_upper.py\n", + "import numpy\n", + "from mpi4py import MPI\n", + "\n", + "N = 1000\n", + "\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "\n", + "a_partial = numpy.empty(N)\n", + "if rank == 0:\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = rng.uniform(size=N * size)\n", + "else:\n", + " a = numpy.empty(1)\n", + "\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "\n", + "a_all = None\n", + "if rank == 0:\n", + " a_all = numpy.empty([size, len(a_partial)], dtype='f8')\n", + "comm.Gather(a_partial, a_all, root=0)\n", "if rank == 0:\n", " print(type(a_all))" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { - "slide_type": "notes" - } + "slide_type": "skip" + }, + "tags": [] }, + "outputs": [], "source": [ - "Now, `a_all` contains a `list` of `np.array`s.\n", - "\n", - "This second version is convenient, but it is **much** slower:" + "!srun -n 4 -p batch -A training2219 --time 00:10:00 python3 mpi_upper.py" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, - "outputs": [], "source": [ - "%%px\n", - "%timeit a_all = comm.gather(a_partial)" + "The following works independent of the size of a_partial:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" - } + "slide_type": "fragment" + }, + "tags": [] }, "source": [ - "It gets worse as arrays get bigger.\n", + "```python\n", + "a_partial = numpy.empty(N)\n", + "if rank == 0:\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = [rng.uniform(size=N) for i in range(size)]\n", + "else:\n", + " a = numpy.empty(1)\n", + "\n", + "a_partial = comm.scatter(a) # Takes a list of length size\n", "\n", - "To retrieve the result, we use the `view` again." + "a_all = comm.gather(a_partial)\n", + "\n", + "```" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { - "slide_type": "notes" - } + "slide_type": "skip" + }, + "tags": [] }, + "outputs": [], "source": [ - "## Remarks\n", - "While Jupyter notebooks are a nice way to teach MPI and well tested MPI routines can be quite useful within a notebook, developing MPI code within notebooks can quickly become awkward because mistakes lead to blocking engines. I find it easier to write and test my MPI routines outside Jupyter notebooks and start the program with `mpiexec`/`srun` from the command line.\n", + "%%writefile mpi_lower.py\n", + "import numpy\n", + "from mpi4py import MPI\n", + "\n", + "N = 1000\n", + "\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "\n", + "a_partial = numpy.empty(N)\n", + "if rank == 0:\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = [rng.uniform(size=N) for i in range(size)]\n", + "else:\n", + " a = numpy.empty(1)\n", + "\n", + "a_partial = comm.scatter(a) # Takes a list of length size\n", "\n", - "For example, you could write the following program and save it to a file:" + "a_all = comm.gather(a_partial)\n", + "if rank == 0:\n", + " print(type(a_all))\n", + " if sum([numpy.allclose(l0, l1) for l0, l1 in zip(a_all, a)]) == size:\n", + " print(\"Check passed.\")" ] }, { @@ -775,42 +746,25 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "%%writefile helloparallelworld.py\n", - "from mpi4py import MPI\n", - "import numpy as np\n", - "\n", - "rank = MPI.COMM_WORLD.Get_rank()\n", - "numberOfRanks = MPI.COMM_WORLD.Get_size()\n", - "\n", - "a = np.zeros(1)\n", - "if rank == 0:\n", - " print(\"There are %d MPI ranks.\" % numberOfRanks)\n", - " a = np.random.random(1)\n", - "\n", - "print(\"I'm rank %d.\" % rank)\n", - "if numberOfRanks < 2:\n", - " print(\"Not enough MPI tasks!\")\n", - " exit(1)\n", - "if rank == 0:\n", - " MPI.COMM_WORLD.Send(a, dest=1)\n", - "elif rank == 1:\n", - " MPI.COMM_WORLD.Recv(a, source=0)\n", - " " + "!srun -n 4 -p batch -A training2219 --time 00:10:00 python3 mpi_lower.py" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, "source": [ - "You can then switch to a terminal and execute it as `srun -n 2 --ntasks-per-node 2 python helloparallelworld.py`." + "Now, `a_all` contains a `list` of `np.array`s.\n", + "\n", + "This second version is convenient, but it is **much** slower:" ] }, { @@ -881,6 +835,21 @@ "[TV_Stencils]: ThinkVector.ipynb#Stencils" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import numpy\n", + "from matplotlib import pyplot as plt" + ] + }, { "cell_type": "code", "execution_count": null, @@ -1244,21 +1213,6 @@ "## Speedup using Amdahl's law" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy\n", - "import matplotlib.pyplot as plt" - ] - }, { "cell_type": "markdown", "metadata": { @@ -1301,9 +1255,7 @@ "cell_type": "code", "execution_count": null, "metadata": { - "slideshow": { - "slide_type": "-" - } + "tags": [] }, "outputs": [], "source": [ @@ -1336,6 +1288,122 @@ " plt.legend(); plt.ylim([0, 100]);plt.xlabel('n'); plt.ylabel('s')" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "## IPyParallel and MPI" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "### Starting the engines" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "**Note, this is only needed to run MPI programs from a Jupyter notebook.**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "We can use ipyparallel to run MPI from a notebook. To do that, we need to start some IPython engines. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Click on the ``+``-sign at the top of the Files tab on the left to start a new launcher. In the launcher click on Terminal. A terminal will open as a new tab. Grab the tab and pull it to the right to have the terminal next to your notebook.\n", + "\n", + "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2219/hpcpy22`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Next start the ipcontroller. This is a bit tricky since the controller will run on the login node, but the engines will run on a compute node. We need to tell the engines the IP address of controller is listening. We want to use the ip address of the Infiniband interface on the login node: `ipcontroller --ip=$(ip -4 a show ib0 | grep -oP '(?<=inet\\s)\\d+(\\.\\d+){3}') &`. \n", + "\n", + "After that we can launch 4 MPI tasks with 32 threads each like this\n", + "\n", + "```bash\n", + "export OMP_NUM_THREADS=32\n", + "srun -n 4 -c 32 --ntasks-per-node 4 --time 00:30:00 -A training2219 ipengine start\n", + "```\n", + "\n", + "**Note**, you can can start the controller and the engines in separate terminals. That will keep the output separate." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "### Connecting to the engines" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "Next, we want to connect to the engines:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "from ipyparallel import Client\n", + "rc = Client()" + ] + }, { "cell_type": "code", "execution_count": null, @@ -1345,17 +1413,122 @@ } }, "outputs": [], - "source": [] + "source": [ + "rc.ids" + ] }, { "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "Next, we need to create a view and activate it." + ] + }, + { + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" } }, + "outputs": [], "source": [ - "## IPyParallel and MPI" + "view = rc[:]\n", + "view.activate()\n", + "view.block = True" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "### Setting up for MPI" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "We are now ready to use MPI with our IPython notebook.\n", + "\n", + "We will use the cell magic ``%%px`` and the line magic ``%px`` to execute commands on all the engines. So, whenenver you see ``%%px`` the cell is executed on *all* the engines, but not in the process that controls your notebook!\n", + "\n", + "**Note**: Everything that appears *after* ``%%px`` and ``%px`` would be part of a regular mpi4py program." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%px from mpi4py import MPI # Import and initialize MPI on the engines\n", + "#from mpi4py import MPI # Import and initialize MPI in the notebook " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%px import numpy" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%px\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%px\n", + "print(\"I'm %d of %d. Resistance is futile.\" % (rank + 1, size))" ] }, { @@ -1563,20 +1736,13 @@ "source": [ "sum(sum_partial)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1588,7 +1754,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/13_Introduction to CuPy.ipynb b/13_Introduction to CuPy.ipynb new file mode 100644 index 0000000..4d5438b --- /dev/null +++ b/13_Introduction to CuPy.ipynb @@ -0,0 +1,678 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Introduction to CuPy\n", + "<div class=\"dateauthor\">\n", + "23 June 2022 | Jan H. Meinke\n", + "</div>\n", + "<img src=\"images/cupy.png\" style=\"float:right\">" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## CuPY\n", + "### A NumPy-like interface to GPU programming" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> The best way to program a GPU is to let other people do the work!" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "[CuPy][] provides a [NumPy][]-like interface to use and program GPUs.\n", + "\n", + "[CuPy]: https://cupy.dev/\n", + "[NumPy]: https://numpy.org/" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "```python\n", + "import cupy import numpy\n", + "N = 2048 N = 2048\n", + "A = cupy.random.random((N, N)) A = numpy.random.random((N, N))\n", + "B = cupy.random.random((N, N)) B = numpy.random.random((N, N))\n", + "C = A @ B C = A @ B\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%writefile cupy_matrix_mul.py\n", + "import cupy\n", + "N = 2048\n", + "A = cupy.random.random((N, N))\n", + "B = cupy.random.random((N, N))\n", + "C = A @ B" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "This cell creates two random arrays of size N by N on the GPU and performs a matrix multiplication using Nvidia's optimized linar algebra library cuBLAS." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "Since our login nodes don't have GPUs, we need to send the program to a GPU node. This is done using the following call to `srun`:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cupy_matrix_mul.py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "`srun` is part of SLURM. SLURM is a scheduling system that manages resources and distributes jobs on a cluster. If you are running these notebooks directly on a computer with a [CuPy](https://cupy.dev) capable GPU, you can comment out the writefile magic and the calls to `srun`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Despite the 'Cu' in its name, [CuPy](https://cupy.dev) is also available for AMD's ROCm. It [covers about 2/3 of the NumPy API](https://docs.cupy.dev/en/stable/reference/comparison.html#numpy-cupy-apis) and also a [number of functions from SciPy](https://docs.cupy.dev/en/stable/reference/comparison.html#scipy-cupy-apis). Please follow the links for details." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Let's see how fast [CuPy](https://cupy.dev) is. This is trickier than it may seem. Calls to GPU functions are asynchronous with respect to the CPU program. The call to the GPU returns immediately and we can do work on the CPU in parallel to the work on the GPU. This is not a problem in normal code. As soon as we access data on the CPU, the CPU will wait until all calls to the GPU have finished. But if we want to measure the time it takes to run a kernel, we need to force our program to wait until the work on the GPU is done. This can be done, for example, using `cupy.cuda.runtime.deviceSynchronize()`:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%writefile cupy_matrix_mul_w_timing.py\n", + "import cupy\n", + "import time\n", + "N = 16384\n", + "repeats = 7\n", + "A = cupy.random.random((N, N))\n", + "B = cupy.random.random((N, N))\n", + "C = A @ B\n", + "cupy.cuda.runtime.deviceSynchronize()\n", + "\n", + "t0 = time.time()\n", + "for r in range(repeats):\n", + " C = A @ B\n", + " cupy.cuda.runtime.deviceSynchronize()\n", + "t1 = time.time()\n", + "t = (t1 - t0) / repeats\n", + "print(f\"Achieved {2e-12 * N ** 3 / t:.3f} TFLOP/s for matrix multiplication of a {N} by {N} matrix.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cupy_matrix_mul_w_timing.py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "### Exercise\n", + "In [Think Vector][TV], you [calculated the Mandelbrot set][TV_Mandelbrot] using [NumPy][] and vectorization. Take either your solution or ours and convert it to [CuPy][]. Visualize the result.\n", + "\n", + "Tip: If you get an error message when visualizing the results, take a look [below](#CuPy-Arrays).\n", + "\n", + "[CuPy]: https://cupy.dev/\n", + "[NumPy]: https://numpy.org/\n", + "[TV]: ThinkVector.ipynb\n", + "[TV_Mandelbrot]: ThinkVector.ipynb#Programming-exercise-Mandelbrot" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%%writefile cupy_mandelbrot_exercise.py\n", + "import cupy\n", + "import matplotlib.pyplot as plt\n", + "\n", + "Your code goes here.\n", + "\n", + "plt.imshow(M.get()) # This line assumes that you stored your Mandelbrot set in M.\n", + "plt.savefig(\"cupy_mandelbrot_exercise.png\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A slbio python cupy_mandelbrot_exercise.py\n", + "image = matplotlib.image.imread(\"cupy_mandelbrot_exercise.png\")\n", + "plt.imshow(image)\n", + "plt.axis('off')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## GPU Libraries" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "* cuBLAS\n", + "* cuDNN\n", + "* cuRand \n", + "* cuSolver\n", + "* cuSPARSE\n", + "* cuFFT\n", + "* NCCL " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "CuPy is the fastest and easiest way to use Nvidia's GPU libraries." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "### Exercise\n", + "a) Time the execution of C=A@B for different matrix sizes, e.g., 256, 512, 1024, 2048, 4096. Calculate the performance in GFLOP/s using gflops = 2e-9 * N ** 3 / t and store the sizes and the times in an ndarray." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%writefile cupy_matrix_mul_w_timing2.py\n", + "import cupy\n", + "import time\n", + "sizes = [256, 512, 1024, 2048, 4096, 8192]\n", + "repeats = 7\n", + "\n", + "for N in sizes:\n", + " A = cupy.random.random((N, N)).astype(cupy.float32)\n", + " B = cupy.random.random((N, N)).astype(cupy.float32)\n", + " C = A @ B\n", + " cupy.cuda.runtime.deviceSynchronize()\n", + "\n", + " t0 = time.time()\n", + " for r in range(repeats):\n", + " C = A @ B\n", + " cupy.cuda.runtime.deviceSynchronize()\n", + " t1 = time.time()\n", + " t = (t1 - t0) / repeats\n", + " print(f\"Achieved {2e-12 * N ** 3 / t:.3f} TFLOP/s for matrix multiplication of a {N} by {N} matrix.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cupy_matrix_mul_w_timing2.py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "b) Do the same using numpy. How do the numbers compare." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%writefile numpy_matrix_mul_w_timing2.py\n", + "import numpy\n", + "import time\n", + "import threadpoolctl\n", + "sizes = [256, 512, 1024, 2048, 4096, 8192]\n", + "repeats = 7\n", + "\n", + "for N in sizes:\n", + " A = numpy.random.random((N, N)).astype(numpy.float32)\n", + " B = numpy.random.random((N, N)).astype(numpy.float32)\n", + " #C = A @ B\n", + "\n", + " for nt in [16, 32, 64, 128, 256]:\n", + " t0 = time.time()\n", + " with threadpoolctl.threadpool_limits(limits=nt, user_api='blas'):\n", + " for r in range(repeats):\n", + " C = A @ B\n", + " t1 = time.time()\n", + " t = (t1 - t0) / repeats\n", + " print(f\"Achieved {2e-12 * N ** 3 / t:.3f} TFLOP/s for matrix multiplication of a {N} by {N} matrix with {nt} threads.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p batch -n 1 -c 256 -A training2219 python numpy_matrix_mul_w_timing2.py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "c) Try the above benchmarks with smaller data types, for example, `float32` or `float16`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## CuPy Arrays" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "CuPy arrays live on the GPU." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```python\n", + "A = cupy.random.random((N, N))\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "To retrieve them you can use\n", + "```python\n", + "A1_np = A.get() # Only for GPU arrays\n", + "A2_np = cupy.asnumpy(A) # Works for NumPy arrays, too.\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "The first command only works for GPU arrays, but the second can also be used for a NumPy array. If A is a GPU array, the data will be copied from the CPU to the GPU. If A is a NumPy array, no copy will be made and A2_np becomes a reference to A." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "```python\n", + "x = numpy.linspace(0, 1, 10)\n", + "x_gpu = cupy.asarray(x) # Copy x to the GPU\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "To transfer data to the GPU use `cupy.asarray`. This doesn't just work with NumPy arrays, but also, for example, with lists." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "### Exercise\n", + "Create a 2D array of random number on the GPU. Transfer it to the CPU. Subtract 0.5 from all elements. Copy the result back to the GPU. Calculate the average value of all elements on the GPU and write the result to the screen." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%%writefile cupy_to_and_fro.py\n", + "Your code goes here" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cupy_to_and_fro.py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Picking a Device" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "CuPy always works on the *current device*. On multi-GPU nodes, for example, on JURECA or JUWELS, this can be changed using" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "```python\n", + "cupy.cuda.Device(1).use()\n", + "A_on_gpu1 = cupy.random.random((N, N))\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "If you need to switch devices regularly, you can use a `with` statement:" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "```python\n", + "with cupy.cuda.Device(2):\n", + " A_on_gpu2 = cupy.random.random((N, N))\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "Note, that you can only access `A_on_gpu2` while device 1 is active. Otherwise, you'll get an error message." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "HPC Python 2022", + "language": "python", + "name": "hpcpy22" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.5" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/solutions/17_CUDA for Python.ipynb b/14_CUDA for Python.ipynb similarity index 77% rename from solutions/17_CUDA for Python.ipynb rename to 14_CUDA for Python.ipynb index 9b6f436..d9241f8 100644 --- a/solutions/17_CUDA for Python.ipynb +++ b/14_CUDA for Python.ipynb @@ -11,28 +11,10 @@ "# Numba and GPUs\n", "\n", "<div class=\"dateauthor\">\n", - "11 June 2021 | Jan H. Meinke\n", + "23 June 2022 | Jan H. Meinke\n", "</div>" ] }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "Numba supports Nvidia and AMD GPUs. In this course, however, we are going to focus on CUDA capable GPUs from Nvidia. \n", - "\n", - "Hint: If you are working with an older version of Numba and want to use an already installed CUDA SDK, there are two environment variables that might have to be set to let numba know where it can find the libraries it needs. On JUWELS this it *not* necessary.\n", - "\n", - "```bash\n", - "export NUMBA_NVVM=$CUDA_HOME/nvvm/lib64/libnvvm.so\n", - "export NUMBA_LIBDEVICE=$CUDA_HOME/nvvm/libdevice/\n", - "```" - ] - }, { "cell_type": "code", "execution_count": null, @@ -44,11 +26,12 @@ "outputs": [], "source": [ "# Let's ignore some deprecation warnings\n", - "from numba.core.errors import NumbaDeprecationWarning, NumbaPendingDeprecationWarning\n", + "from numba.core.errors import NumbaDeprecationWarning, NumbaPendingDeprecationWarning, NumbaPerformanceWarning\n", "import warnings\n", "\n", "warnings.simplefilter('ignore', category=NumbaDeprecationWarning)\n", - "warnings.simplefilter('ignore', category=NumbaPendingDeprecationWarning)" + "warnings.simplefilter('ignore', category=NumbaPendingDeprecationWarning)\n", + "warnings.simplefilter('ignore', category=NumbaPerformanceWarning)" ] }, { @@ -161,24 +144,31 @@ }, "outputs": [], "source": [ - "# Your code goes here" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - }, - "tags": [ - "Solution" - ] - }, - "outputs": [], - "source": [ - "escape_time_g = vectorize(\"int64(complex128, int64)\", \n", - " target=\"cuda\")(escape_time)" + "%%writefile mandelbrot_vectorize_cuda.ipy\n", + "from numba import vectorize\n", + "\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "if __name__ == \"__main__:\n", + " import numpy\n", + " x = numpy.linspace(-2, 2, 500)\n", + " y = numpy.linspace(-1.5, 1.5, 375)\n", + " zr, zc = numpy.meshgrid(x, 1j * y)\n", + " \n", + "# TODO\n", + "escape_time_g = Your code goes here\n", + "\n", + "t = %timeit -o escape_time_g(zr + zc, 500)\n", + "print(t.all_runs)" ] }, { @@ -188,13 +178,13 @@ "slideshow": { "slide_type": "skip" }, - "tags": [ - "Solution" - ] + "tags": [] }, "outputs": [], "source": [ - "t_gpu = %timeit -o escape_time_g(zr + zc, 500)" + "res = !srun -p gpus -A training2219 ipython mandelbrot_vectorize_cuda.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean():.3f}±{t_gpu.std():.3f} s.\")" ] }, { @@ -216,7 +206,7 @@ } }, "source": [ - "Numba allows you to write CUDA programs in Python. \n", + "When `vectorize` is not enough, you can write CUDA programs in Python using Numba as well.\n", "\n", "While a complete introduction to CUDA is beyond the scope of this course---there are other courses for this, for example, GPU Programming with CUDA @ JSC and also many online resources available---here you'll get the nutshell version and some of the differences between CUDA C++ and CUDA Python." ] @@ -257,9 +247,7 @@ { "cell_type": "markdown", "metadata": { - "slideshow": { - "slide_type": "-" - } + "tags": [] }, "source": [ "CPUs are optimized for latency." @@ -301,9 +289,7 @@ { "cell_type": "markdown", "metadata": { - "slideshow": { - "slide_type": "-" - } + "tags": [] }, "source": [ "" @@ -575,9 +561,7 @@ { "cell_type": "markdown", "metadata": { - "slideshow": { - "slide_type": "-" - } + "tags": [] }, "source": [ "``` python\n", @@ -612,21 +596,20 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ + "```python\n", "from numba import cuda\n", "\n", "escape_time_gpu = cuda.jit(device=True)(escape_time)\n", "\n", "@cuda.jit\n", - "def mandelbrot_gpu(M, real_min, real_max, imag_min, imag_max):\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max):\n", " \"\"\"Calculate the Mandelbrot set on the GPU.\n", " \n", " Parameters\n", @@ -646,7 +629,8 @@ " dx = (real_max - real_min) / nx\n", " dy = (imag_max - imag_min) / ny\n", " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", - " M[j, i] = escape_time_gpu(p, 20)" + " M[j, i] = escape_time_gpu(p, 20)\n", + "```" ] }, { @@ -679,24 +663,22 @@ } }, "source": [ - "CUDA needs to know how many blocks and how many threads per block you want to launch. This is called the *launch configuration*. To calculate the Mandelbrot set with of two 1024 by 1024 points with a block size of 32 by 32, we need 1024/32=32 by 1024/32=32 blocks.\n", - "\n", - "If we want to calculate the set for 1032 by 1032 points, we have to add an extra block. The following lines take care of that:" + "CUDA needs to know how many blocks and how many threads per block you want to launch. This is called the *launch configuration*. To calculate the Mandelbrot set with of 1024 by 1024 points with a block size of 32 by 32, we need 1024/32=32 by 1024/32=32 blocks." ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ + "```python\n", "M = numpy.zeros((1024, 1024), dtype=numpy.int32)\n", "block = (32, 32)\n", - "grid = (M.shape[0] // block[0], M.shape[1] // block[1])" + "grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", + "```" ] }, { @@ -711,29 +693,16 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], - "source": [ - "%timeit mandelbrot_gpu[grid, block](M, -2.2, 1.2, -1.6, 1.6)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], "source": [ - "plt.imshow(M, interpolation=\"nearest\")" + "```\n", + "mandelbrot_gpu[grid, block](M, -2.2, 1.2, -1.6, 1.6)\n", + "```" ] }, { @@ -748,47 +717,21 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, - "outputs": [], "source": [ + "```python\n", "M = numpy.zeros((1000, 1000), dtype=numpy.int32)\n", "block = (32, 32)\n", "grid = (M.shape[0] // block[0] if M.shape[0] % block[0] == 0 \n", " else M.shape[0] // block[0] + 1,\n", " M.shape[1] // block[1] if M.shape[1] % block[1] == 0 \n", - " else M.shape[1] // block[1] + 1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%timeit mandelbrot_gpu[grid, block](M, -2.2, 1.2, -1.6, 1.6)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "plt.imshow(M, interpolation=\"nearest\")" + " else M.shape[1] // block[1] + 1)\n", + "```" ] }, { @@ -813,39 +756,6 @@ "a) Use %timeit to measure the speed of the GPU implementation and compare it to the vectorized version." ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "b) The kernel calculates dx and dy for every pixel although it is the same for all of them. Change the kernel so that it takes dx and dy as arguments and calculate dx and dy before you call the kernel. Does this improve the performance?" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": null, @@ -853,14 +763,30 @@ "slideshow": { "slide_type": "skip" }, - "tags": [ - "Solution" - ] + "tags": [] }, "outputs": [], "source": [ + "%%writefile cuda_mandelbrot1.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", "@cuda.jit\n", - "def mandelbrot_gpu2(M, real_min, real_max, imag_min, imag_max, dx, dy):\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max):\n", " \"\"\"Calculate the Mandelbrot set on the GPU.\n", " \n", " Parameters\n", @@ -879,8 +805,21 @@ " i, j = cuda.grid(2)\n", " \n", " if i < nx and j < ny:\n", + " dx = (real_max - real_min) / M.shape[1]\n", + " dy = (imag_max - imag_min) / M.shape[0]\n", " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", - " M[j, i] = escape_time_gpu(p, 20)" + " M[j, i] = escape_time(p, 20)\n", + " \n", + "if __name__ == \"__main__\":\n", + " M = numpy.zeros((1024, 1024), dtype=numpy.int32)\n", + " block = (32, 32)\n", + " grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", + " real_min, real_max = (-2.2, 1.2)\n", + " imag_min, imag_max = (-1.6, 1.6)\n", + "\n", + " #TODO\n", + " t = %timeit -o Your code goes here\n", + " print(t.all_runs)" ] }, { @@ -890,20 +829,13 @@ "slideshow": { "slide_type": "skip" }, - "tags": [ - "Solution" - ] + "tags": [] }, "outputs": [], "source": [ - "M = numpy.zeros((1024, 1024), dtype=numpy.int32)\n", - "block = (32, 32)\n", - "grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", - "real_min, real_max = (-2.2, 1.2)\n", - "imag_min, imag_max = (-1.6, 1.6)\n", - "dx = (real_max - real_min) / M.shape[1]\n", - "dy = (imag_max - imag_min) / M.shape[0]\n", - "%timeit mandelbrot_gpu2[grid, block](M, -2.2, 1.2, -1.6, 1.6, dx, dy)" + "res = !srun -p gpus -A training2219 ipython cuda_mandelbrot1.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean() * 1000:.3f}±{t_gpu.std() * 1000:.3f} ms.\")" ] }, { @@ -914,7 +846,7 @@ } }, "source": [ - "c) Add an additional argument escape_time to the kernel, so that you can time the kernel for different escape time values. Don't forget to add the new argument to the documentation." + "b) The kernel calculates dx and dy for every pixel although it is the same for all of them. Change the kernel so that it takes dx and dy as arguments and calculate dx and dy before you call the kernel. Does this improve the performance?" ] }, { @@ -926,23 +858,27 @@ } }, "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - }, - "tags": [ - "Solution" - ] - }, - "outputs": [], "source": [ + "%%writefile cuda_mandelbrot2.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", "@cuda.jit\n", - "def mandelbrot_gpu3(M, real_min, real_max, imag_min, imag_max, max_iter=50):\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max, dx, dy):\n", " \"\"\"Calculate the Mandelbrot set on the GPU.\n", " \n", " Parameters\n", @@ -950,22 +886,14 @@ " M : numpy.ndarray\n", " a two-dimensional integer array that will contain the \n", " escape times for each point.\n", - " real_min, real_max: float\n", - " minimum and maximums value on the real axis\n", - " imag_min, imag_max: float\n", - " minimum and maximum value on the imaginary axis\n", - " max_iter: int\n", - " maximum number of iterations before we consider this point to be \n", - " part of the Mandelbrot set.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " dx, dy: float\n", + " step size along the real and imaginary axes.\n", " \"\"\"\n", - " ny, nx = M.shape\n", - " i, j = cuda.grid(2)\n", - " \n", - " if i < nx and j < ny:\n", - " dx = (real_max - real_min) / nx\n", - " dy = (imag_max - imag_min) / ny\n", - " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", - " M[j, i] = escape_time_gpu(p, max_iter)" + " Your code goes here" ] }, { @@ -975,16 +903,56 @@ "slideshow": { "slide_type": "skip" }, - "tags": [ - "Solution" - ] + "tags": [] }, "outputs": [], "source": [ - "M = numpy.zeros((1024, 1024), dtype=numpy.int32)\n", - "block = (32, 32)\n", - "grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", - "%timeit mandelbrot_gpu3[grid, block](M, -2.2, 1.2, -1.6, 1.6, 50)" + "res = !srun -p gpus -A training2219 ipython cuda_mandelbrot2.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean() * 1000:.3f}±{t_gpu.std() * 1000:.3f} ms.\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "c) Add an additional argument `maxtime` to the kernel, so that you can time the kernel for different escape time values. Don't forget to add the new argument to the documentation." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%%writefile cuda_mandelbrot3.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot Your code goes here" ] }, { @@ -994,14 +962,13 @@ "slideshow": { "slide_type": "skip" }, - "tags": [ - "Solution" - ] + "tags": [] }, "outputs": [], "source": [ - "mandelbrot_gpu3[grid, block](M, -2.2, 1.2, -1.6, 1.6, 50)\n", - "plt.imshow(M)" + "res = !srun -p gpus -A training2219 ipython cuda_mandelbrot3.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean() * 1000:.3f}±{t_gpu.std() * 1000:.3f} ms.\")" ] }, { @@ -1115,39 +1082,58 @@ } }, "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - }, - "tags": [ - "Solution" - ] - }, - "outputs": [], "source": [ - "M = cuda.device_array((1024, 1024), dtype=numpy.int32)\n", - "block = (32, 32)\n", - "grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", - "%timeit mandelbrot_gpu3[grid, block](M, -2.2, 1.2, -1.6, 1.6, 50)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - }, - "tags": [ - "Solution" - ] - }, - "source": [ - "This is much faster! Most of the time of running the Mandelbrot program on the GPU is actually spent transferring data." + "%%writefile cuda_mandelbrot4.ipy\n", + "import numpy\n", + "import warnings\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max, dx, dy, maxtime=20):\n", + " \"\"\"Calculate the Mandelbrot set on the GPU.\n", + " \n", + " Parameters\n", + " ----------\n", + " M : numpy.ndarray\n", + " a two-dimensional integer array that will contain the \n", + " escape times for each point.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " dx, dy: float\n", + " step size along the real and imaginary axes.\n", + " maxtime: int\n", + " maximum number of iterations before the point is considered part of\n", + " the Mandelbrot set.\n", + " \"\"\"\n", + " ny, nx = M.shape\n", + " i, j = cuda.grid(2)\n", + " \n", + " if i < nx and j < ny:\n", + " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", + " M[j, i] = escape_time(p, maxtime)\n", + " \n", + "if __name__ == \"__main__\":\n", + " # TODO\n", + " M = Your code goes here\n", + " \n", + " t = %timeit -o mandelbrot[grid, block](M, -2.2, 1.2, -1.6, 1.6, dx, dy, maxtime)\n", + " print(t.all_runs)" ] }, { @@ -1157,14 +1143,13 @@ "slideshow": { "slide_type": "skip" }, - "tags": [ - "Solution" - ] + "tags": [] }, "outputs": [], "source": [ - "mandelbrot_gpu3[grid, block](M, -2.2, 1.2, -1.6, 1.6, 50)\n", - "plt.imshow(M)" + "res = !srun -p gpus -A training2219 ipython cuda_mandelbrot4.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean() * 1000:.3f}±{t_gpu.std() * 1000:.3f} ms.\")" ] }, { @@ -1186,7 +1171,7 @@ } }, "source": [ - "Write a kernel, where each thread calculates one element of the result matrix $C=AB$, where A and B are matrices.\n", + "Write a kernel, where each thread calculates one element of the result matrix $C=AB$, where A and B are matrices. Compare the result from the CPU and the GPU using `numpy.allclose` and write an appropriate message at the end. \n", "\n", "For the algorithm, you can take a look at Bottlenecks." ] @@ -1200,67 +1185,15 @@ } }, "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - }, - "tags": [ - "Solution" - ] - }, - "outputs": [], - "source": [ - "@cuda.jit\n", - "def mm(A, B, C):\n", - " \"\"\"Take two matrices A and B, calculate the matrix product and store it in C.\"\"\"\n", - " i, j = cuda.grid(2)\n", - " if i < A.shape[0] and j < B.shape[1]:\n", - " tmp = 0\n", - " for k in range(A.shape[1]):\n", - " tmp += A[i, k] * B[k, j]\n", - " C[i, j] = tmp" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - }, - "tags": [ - "Solution" - ] - }, - "outputs": [], "source": [ - "A = numpy.random.random((1024, 512))\n", - "B = numpy.random.random((512, 256))\n", - "C_np = A@B" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - }, - "tags": [ - "Solution" - ] - }, - "outputs": [], - "source": [ - "block = (32, 32)\n", - "grid = (1024 // 32, 256 // 32)\n", - "C = cuda.device_array((1024, 256))\n", - "mm[grid, block](A, B, C)" + "%%writefile cuda_matrixmul.py\n", + "import numpy\n", + "import warnings\n", + "from numba import cuda\n", + "from numba.core.errors import NumbaPerformanceWarning\n", + "\n", + "# TODO\n", + "Your code goes here\n" ] }, { @@ -1270,15 +1203,11 @@ "slideshow": { "slide_type": "skip" }, - "tags": [ - "Solution" - ] + "tags": [] }, "outputs": [], "source": [ - "C_host = C.copy_to_host()\n", - "\n", - "numpy.allclose(C_np, C_host)" + "!srun -p gpus -A training2219 python cuda_matrixmul.py" ] }, { @@ -1341,31 +1270,19 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "fragment" } }, - "outputs": [], "source": [ + "```python\n", "from numba import cuda, float32\n", "# Controls threads per block and shared memory usage.\n", "# The computation will be done on blocks of TPBxTPB elements.\n", - "TPB = 16" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ + "TPB = 16\n", + "\n", "@cuda.jit\n", "def fast_matmul(A, B, C):\n", " # Define an array in the shared memory\n", @@ -1400,7 +1317,8 @@ " # Wait until all threads finish computing\n", " cuda.syncthreads()\n", "\n", - " C[x, y] = tmp" + " C[x, y] = tmp\n", + "```" ] }, { @@ -1460,9 +1378,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1474,7 +1392,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/18_CUDA and MPI.ipynb b/15_CUDA and MPI.ipynb similarity index 59% rename from 18_CUDA and MPI.ipynb rename to 15_CUDA and MPI.ipynb index 1ea2018..ae23563 100644 --- a/18_CUDA and MPI.ipynb +++ b/15_CUDA and MPI.ipynb @@ -11,7 +11,7 @@ "# CUDA for Python and MPI4Py\n", "\n", "<div class=\"dateauthor\">\n", - "11 June 2021 | Jan H. Meinke\n", + "23 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -19,156 +19,167 @@ "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "notes" + "slide_type": "slide" } }, "source": [ - "To use MPI in a notebook, we have to use the ipengines again:" + "## The Kernel" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" - } + "slide_type": "notes" + }, + "tags": [] }, "source": [ - "## Starting the engines" + "CUDA kernels cannot make any MPI calls. If you need to pass information from one GPU to another it's done by the main program." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, "source": [ - "We can combine ipyparalle and MPI. To do that, we need to start some IPython engines. " + "Here's a simple kernel that shifts all values in v by a:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "-" } }, "source": [ - "Click on the ``+``-sign at the top of the Files tab on the left to start a new launcher. In the launcher click on Terminal. A terminal will open as a new tab. Grab the tab and pull it to the right to have the terminal next to your notebook.\n", - "\n", - "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2114/hpcpy21`." + "```python\n", + "@cuda.jit\n", + "def shift(a, v):\n", + " \"\"\"Shift all values in v by a.\n", + " \n", + " Parameters\n", + " ----------\n", + " a: float\n", + " shift\n", + " v: numpy.ndarray\n", + " one-dimensional array with values that are to be shifted.\n", + " \"\"\"\n", + " i = cuda.grid(1)\n", + " if i < v.shape[0]:\n", + " v[i] += a\n", + "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "slide" } }, "source": [ - "Next start the ipcontroller: `ipcontroller &`. After that we can launch 4 MPI tasks with 6 threads each like this\n", - "\n", - "```bash\n", - "export OMP_NUM_THREADS=10\n", - "srun -n 4 -c 10 ipengine start\n", - "```" + "## Setting things up" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, - "outputs": [], "source": [ - "from ipyparallel import Client\n", - "rc = Client()\n", - "view = rc[:]\n", - "view.activate()\n", - "view.block = True" + "Now, we set up MPI, and generate random number on rank 0 just like we did in [Introduction to MPI][IntroMPI].\n", + "\n", + "[IntroMPI]: Introduction%20to%20.ipynb" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "fragment" } }, - "outputs": [], "source": [ - "%%px\n", - "# Let's ignore some deprecation warnings\n", - "from numba.core.errors import NumbaDeprecationWarning, NumbaPendingDeprecationWarning\n", - "import warnings\n", - "\n", - "warnings.simplefilter('ignore', category=NumbaDeprecationWarning)\n", - "warnings.simplefilter('ignore', category=NumbaPendingDeprecationWarning)" + "```python\n", + "comm = MPI.COMM_WORLD\n", + "my_rank = comm.Get_rank()\n", + "number_of_ranks = comm.Get_size()\n", + "N = 1000\n", + "a_partial = numpy.empty(N)\n", + "if my_rank == 0:\n", + " a = numpy.random.random(N * number_of_ranks)\n", + "else:\n", + " a = numpy.empty(1)\n", + "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "notes" } }, "source": [ - "## The Kernel" + "Since we are dealing with NumPy arrays, we can use the efficient uppercase versions of the MPI calls. Scatter distributes an array evenly among all nodes. Note, the sendbuf only needs to be allocated on node zero, but the variable must exist everywhere." ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, "source": [ - "CUDA kernels cannot make any MPI calls. If you need to pass information from one GPU to another it's done by the main program. Here's a simple example:" + "```python\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "```" ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, "source": [ - "from ipyparallel import Client\n", - "rc = Client()\n", - "view = rc[:]\n", - "view.activate()\n", - "view.block = True" + "Setup and call the kernel." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "notes" + "slide_type": "slide" } }, "source": [ - "CUDA kernels cannot make any MPI calls. If you need to pass information from one GPU to another it's done by the main program. Here's a simple example:" + "## Calling the kernel" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "-" } }, - "outputs": [], "source": [ - "%%px\n", - "import numpy\n", - "import mpi4py.MPI as MPI\n", - "from numba import cuda" + "```python\n", + "block = 256\n", + "grid = N // block if N % block == 0 else N // block + 1 \n", + "\n", + "shift[grid, block](-0.5, a_partial)\n", + "```" ] }, { @@ -179,45 +190,31 @@ } }, "source": [ - "Here's a simple kernel that shifts all values in v by a:" + "Gather works the oposite way to Scatter. Again *a* only needs to have capacity on rank 0." ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "-" + "slide_type": "slide" } }, - "outputs": [], "source": [ - "%%px\n", - "@cuda.jit\n", - "def shift(a, v):\n", - " \"\"\"Shift all values in v by a.\n", - " \n", - " Parameters\n", - " ----------\n", - " a: float\n", - " shift\n", - " v: numpy.ndarray\n", - " one-dimensional array with values that are to be shifted.\n", - " \"\"\"\n", - " i = cuda.grid(1)\n", - " if i < v.shape[0]:\n", - " v[i] += a" + "## Collecting the data" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "-" } }, "source": [ - "## Setting things up" + "```python\n", + "comm.Gather(a_partial, a, root = 0)\n", + "```" ] }, { @@ -228,40 +225,31 @@ } }, "source": [ - "Now, we set up MPI, and generate random number on rank 0." + "We generated a uniform distribution between 0 and 1 and then shifted it by -0.5. The mean value should now be close to zero. " ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "fragment" + "slide_type": "skip" } }, - "outputs": [], "source": [ - "%%px\n", - "comm = MPI.COMM_WORLD\n", - "my_rank = comm.Get_rank()\n", - "number_of_ranks = comm.Get_size()\n", - "N = 1000\n", - "a_partial = numpy.empty(N)\n", - "if my_rank == 0:\n", - " a = numpy.random.random(N * number_of_ranks)\n", - "else:\n", - " a = numpy.empty(1)" + "## Exercise: Shift" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "notes" + "slide_type": "skip" } }, "source": [ - "Since we are dealing with NumPy arrays, we can use the efficient uppercase versions of the MPI calls. Scatter distributes an array evenly among all nodes. Note, the sendbuf only needs to be allocated on node zero, but the variable must exist everywhere." + "a) Combine the above snippets into a program and write it to `parallel_shift.py`.\n", + "\n", + "b) Run the program on one node with 4 MPI processes using srun.\n" ] }, { @@ -269,74 +257,77 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" + "slide_type": "skip" } }, "outputs": [], "source": [ - "%%px\n", - "comm.Scatter(a, a_partial, root = 0)" + "%writefile parallel_shift.py\n", + "\n", + "Your code goes here\n", + "\n", + " if my_rank == 0:\n", + " print(\"The average of a is %.2f\" % numpy.mean(a)) # Result should be near zero.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "notes" + "slide_type": "slide" } }, "source": [ - "Setup and call the kernel." + "## Picking a device" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "notes" } }, "source": [ - "## Calling the kernel" + "As you see from the example above, there's nothing special when using MPI with GPUs. The one thing that might bite you is using *multiple* MPI ranks for *multiple* GPUs on a *single* node. In this case, you might have to tell your MPI rank which GPU to use.\n", + "\n", + "If you have, for example, 4 GPUs and you know that your scheduler chooses a compact configuration, i.e., rank 0, 1, 2, 3 are on the first node, rank 4, 5, 6, 7 are on the second node, etc., you can use you rank to assign a GPU to your process:" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, - "outputs": [], "source": [ - "%%px\n", - "block = 256\n", - "grid = N // block if N % block == 0 else N // block + 1 \n", + "```python\n", "\n", - "shift[grid, block](-0.5, a_partial)" + "cuda.select_device(my_rank % number_of_gpus_per_node)\n", + "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "notes" + "slide_type": "skip" } }, "source": [ - "Gather works the oposite way to Scatter. Again *a* only needs to have capacity on rank 0." + "## Exercise: Multi-GPU Mandelbrot" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "skip" } }, "source": [ - "## Collecting the data" + "Calculate the Mandelbrot set on multiple GPUs." ] }, { @@ -344,50 +335,34 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "-" + "slide_type": "skip" } }, "outputs": [], - "source": [ - "%%px\n", - "comm.Gather(a_partial, a, root = 0)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "We generated a uniform distribution between 0 and 1 and then shifted it by -0.5. The mean value should now be close to zero." - ] + "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], - "source": [ - "%%px\n", - "if my_rank == 0:\n", - " print(\"The average of a is %.2f\" % numpy.mean(a)) # Result should be near zero." - ] + "source": [] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" - } + }, + "tags": [] }, "source": [ - "## Picking a device" + "## CUDA-aware MPI" ] }, { @@ -395,25 +370,32 @@ "metadata": { "slideshow": { "slide_type": "notes" - } + }, + "tags": [] }, "source": [ - "As you see from the example above, there's nothing special when using MPI with GPUs. The one thing that might bite you is using *multiple* MPI ranks for *multiple* GPUs on a *single* node. In this case, you might have to tell your MPI rank which GPU to use.\n", - "\n", - "If you have, for example, 4 GPUs and you know that your scheduler chooses a compact configuration, i.e., rank 0, 1, 2, 3 are on the first node, rank 4, 5, 6, 7 are on the second node, etc., you can use you rank to assign a GPU to your process:" + "So far we only moved data stored on the CPU side between nodes, but as GPU programs become more complex, we have to move data between GPUs. We can still stage that data through the CPU, but if the MPI implementation is aware of GPU arrays, we can move data directly from one GPU to another." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "-" - } + "slide_type": "notes" + }, + "tags": [] }, "source": [ + "Earlier we generated random data on the CPU, scattered it, and then shifted all values on the GPU:\n", "```python\n", - "\n", - "cuda.select_device(my_rank % number_of_gpus_per_node)\n", + "import numpy\n", + "# Create an array with N * number_of_ranks elements\n", + "N = 1000\n", + "a_partial = numpy.empty(N)\n", + "if my_rank == 0:\n", + " a = numpy.random.random(N * number_of_ranks)\n", + "else:\n", + " a = numpy.empty(1)\n", "```" ] }, @@ -422,58 +404,77 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "source": [ - "## Exercise: Shift" + "Let's use CuPy to generate the data on the GPU instead:" ] }, { "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, + "metadata": {}, "source": [ - "a) Write the above program to a file. Remember that you can move cells with the arrow buttons above and then merge them. There's a cell magic to write a cell to a file.\n", - "\n", - "b) Run the program on one node with 4 MPI processes.\n", - "\n", - "c) Add the cuda.select_device call to the program and run it again." + "```python\n", + "import cupy\n", + "# Create an array with N * number_of_ranks elements\n", + "N = 1000\n", + "a_partial = cup.empty(N)\n", + "if my_rank == 0:\n", + " a = cupy.random.random(N * number_of_ranks)\n", + "else:\n", + " a = cupy.empty(1)\n", + "```" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, - "outputs": [], - "source": [] + "source": [ + "Now the data lives on the GPU, but we can use the same MPI calls:" + ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" - } + "slide_type": "fragment" + }, + "tags": [] }, "source": [ - "## Exercise: Multi-GPU Mandelbrot" + "```python\n", + "# Distribute the data across the ranks\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "\n", + "# Set up the launch configuration for the GPU\n", + "block = 256\n", + "grid = N // block if N % block == 0 else N // block + 1 \n", + "shift[grid, block](-0.5, a_partial)\n", + "\n", + "# Collect the data again on rank 0\n", + "comm.Gather(a_partial, a, root = 0) \n", + "\n", + "if my_rank == 0:\n", + " print(\"The average of a is %.2f\" % numpy.mean(a)) # Result should be near zero.\n", + "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" - } + "slide_type": "notes" + }, + "tags": [] }, "source": [ - "Calculate the Mandelbrot set on multiple GPUs." + "Let's write this to a file an give it a try." ] }, { @@ -482,24 +483,87 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], - "source": [] + "source": [ + "%%writefile cuda_aware_mpi_shift.py\n", + "import cupy\n", + "import mpi4py.MPI as MPI\n", + "from numba import cuda\n", + "\n", + "@cuda.jit\n", + "def shift(a, v):\n", + " \"\"\"Shift all values in v by a.\n", + " \n", + " Parameters\n", + " ----------\n", + " a: float\n", + " shift\n", + " v: numpy.ndarray\n", + " one-dimensional array with values that are to be shifted.\n", + " \"\"\"\n", + " i = cuda.grid(1)\n", + " if i < v.shape[0]:\n", + " v[i] += a\n", + " \n", + "\n", + "def main():\n", + " # Set up for MPI\n", + " comm = MPI.COMM_WORLD\n", + " my_rank = comm.Get_rank()\n", + " number_of_ranks = comm.Get_size()\n", + " number_of_gpus_per_node = len(cuda.gpus)\n", + " \n", + " # Create an array with N * number_of_ranks elements\n", + " N = 1_000_000\n", + " a_partial = cupy.empty(N)\n", + " if my_rank == 0:\n", + " a = cupy.random.random(N * number_of_ranks)\n", + " print(f\"[{my_rank}] The average before shifting is {cupy.mean(a):.3f}\")\n", + " else:\n", + " a = cupy.empty(1)\n", + " \n", + " # Distribute the data across the ranks\n", + " comm.Scatter(a, a_partial, root = 0)\n", + "\n", + " # Set up the launch configuration for the GPU\n", + " block = 256\n", + " grid = N // block if N % block == 0 else N // block + 1 \n", + " shift[grid, block](-0.75, a_partial)\n", + " print(f\"[{my_rank}] The average of a_partial is {cupy.mean(a_partial):.3f}\")\n", + " # Collect the data again on rank 0\n", + " comm.Gather(a_partial, a, root = 0) \n", + "\n", + " if my_rank == 0:\n", + " print(\"The average of a is %.2f\" % cupy.mean(a)) # Result should be near zero.\n", + " \n", + " \n", + "if __name__ == \"__main__\":\n", + " main()" + ] }, { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, "outputs": [], - "source": [] + "source": [ + "!srun -p gpus -n 4 -A training2219 xenv -L mpi-settings/CUDA python cuda_aware_mpi_shift.py" + ] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -511,7 +575,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/16_Introduction to CuPy.ipynb b/16_Introduction to CuPy.ipynb deleted file mode 100644 index f0f0f66..0000000 --- a/16_Introduction to CuPy.ipynb +++ /dev/null @@ -1,386 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "# Introduction to CuPy\n", - "<div class=\"dateauthor\">\n", - "10 June 2021 | Jan H. Meinke\n", - "</div>\n", - "<img src=\"images/cupy.png\" style=\"float:right\">" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import matplotlib.pyplot as plt" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## CuPY\n", - "### A NumPy-like interface to GPU programming" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "> The best way to program a GPU is to let other people do the work!" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "[CuPy][] provides a [NumPy][]-like interface to use and program GPUs.\n", - "\n", - "[CuPy]: https://cupy.dev/\n", - "[NumPy]: https://numpy.org/" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "import cupy\n", - "N = 2048\n", - "A = cupy.random.random((N, N))\n", - "B = cupy.random.random((N, N))\n", - "C = A@B" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "This cell creates two random arrays of size N by N on the GPU and performs a matrix multiplication using Nvidia's optimized linar algebra library cuBLAS." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "### Exercise\n", - "In [Think Vector][TV], you [calculated the Mandelbrot set][TV_Mandelbrot] using [NumPy][] and vectorization. Take either your solution or ours and convert it to [CuPy][]. Visualize the result.\n", - "\n", - "Tip: If you get an error message when visualizing the results, take a look [below](#CuPy-Arrays).\n", - "\n", - "[CuPy]: https://cupy.dev/\n", - "[NumPy]: https://numpy.org/\n", - "[TV]: ThinkVector.ipynb\n", - "[TV_Mandelbrot]: ThinkVector.ipynb#Programming-exercise-Mandelbrot" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## GPU Libraries" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "source": [ - "* cuBLAS\n", - "* cuDNN\n", - "* cuRand \n", - "* cuSolver\n", - "* cuSPARSE\n", - "* cuFFT\n", - "* NCCL " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "CuPy is the fastest and easiest way to use Nvidia's GPU libraries." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "### Exercise\n", - "a) Time the execution of C=A@B for different matrix sizes, e.g., 256, 512, 1024, 2048, 4096. Calculate the performance in GFLOP/s using gflops = 2e-9 * N ** 3 / t and store the sizes and the times in an ndarray.\n", - "\n", - "b) Do the same using numpy. How do the numbers compare." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## CuPy Arrays" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "CuPy arrays live on the GPU. To retrieve them you can use" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "A = cupy.random.random((N, N))\n", - "A1_np = A.get()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "A2_np = cupy.asnumpy(A)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "The first command only works for GPU arrays, but the second can also be used for a NumPy array. If A is a GPU array, the data will be copied from the CPU to the GPU. If A is a NumPy array, no copy will be made and A2_np becomes a reference to A." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "import numpy\n", - "x = numpy.linspace(0, 1, 10)\n", - "x_gpu = cupy.asarray(x) # Copy x to the GPU" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "To transfer data to the GPU use `cupy.asarray`. This doesn't just work with NumPy arrays, but also, for example, with lists." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "### Exercise\n", - "Create a 2D array of random number on the GPU. Transfer it to the CPU. Subtract 0.5 from all elements. Copy the result back to the GPU. Clculate the average value of all elements on the GPU and write the result to the screen." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## Picking a Device" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "CuPy always works on the *current device*. On multi-GPU nodes this can be changed using" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "cupy.cuda.Device(1).use()\n", - "A_on_gpu1 = cupy.random.random((N, N))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "If you need to switch devices regularly, you can use a `with` statement:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "with cupy.cuda.Device(2):\n", - " A_on_gpu2 = cupy.random.random((N, N))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "Note, that you can only access `A_on_gpu2` while device 1 is active. Otherwise, you'll get an error message." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "HPC Python 2021", - "language": "python", - "name": "hpcpy21" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.5" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/14_Introduction to Dask.ipynb b/16_Introduction to Dask.ipynb similarity index 100% rename from 14_Introduction to Dask.ipynb rename to 16_Introduction to Dask.ipynb diff --git a/06_Debugging.ipynb b/17_Debugging.ipynb similarity index 100% rename from 06_Debugging.ipynb rename to 17_Debugging.ipynb diff --git a/07_IDEs.ipynb b/18_IDEs.ipynb similarity index 100% rename from 07_IDEs.ipynb rename to 18_IDEs.ipynb diff --git a/README.rst b/README.rst deleted file mode 100644 index d603411..0000000 --- a/README.rst +++ /dev/null @@ -1,27 +0,0 @@ -============================================ -High-Performance Computing with Python @ JSC -============================================ -:Author: Jan H. Meinke -:Author: Olav Zimmermann - -Python is being increasingly used in high-performance computing projects. It can be used either as -a high-level interface to existing HPC applications and libraries, as embedded interpreter, or -directly. - -This course combines lectures and hands-on session. We will show how Python can be used on parallel -architectures and how performance critical parts of the kernel can be optimized using various tools. - -For using Python productively for parallel computing, these topics will be covered: - -* Interactive parallel programming with IPython -* Profiling and optimization -* High-performance NumPy and SciPy, numba -* Distributed-memory parallel programming with Python and MPI -* Bindings to other programming languages and HPC libraries -* Interfaces to GPUs - -This course is aimed at scientists who wish to explore the productivity gains made possible by Python -for HPC. - -This course is a PRACE Advanced Training Centres (PATC) course. - diff --git a/build.sh b/build.sh index 399a64b..bd4b6a6 100755 --- a/build.sh +++ b/build.sh @@ -1,5 +1,5 @@ #!/bin/bash -#source hpcpy19 +source $PROJECT_training2219/hpcpy22 # Build points pushd code/point rm -rf build diff --git a/hpcpy21 b/hpcpy22 old mode 100755 new mode 100644 similarity index 54% rename from hpcpy21 rename to hpcpy22 index 9047da7..b29c14c --- a/hpcpy21 +++ b/hpcpy22 @@ -1,6 +1,5 @@ -#!/bin/bash module purge --force -module load Stages/2020 +module load Stages/2022 module load GCC module load ParaStationMPI module load Graphviz @@ -10,11 +9,11 @@ module load dask module load mpi4py module load Jupyter module load CUDA +module load CMake #export NUMBAPRO_NVVM=$CUDA_HOME/nvvm/lib64/libnvvm.so #export NUMBAPRO_LIBDEVICE=$CUDA_HOME/nvvm/libdevice -export LD_LIBRARY_PATH=/p/project/training2114/resources/code/text_stats/build:$LD_LIBRARY_PATH -export LD_LIBRARY_PATH=/p/project/training2114/resources/code/point/build:$LD_LIBRARY_PATH -export PYTHONPATH=/p/project/training2114/packages/lib/python3.8/site-packages:$PYTHONPATH -export PATH=$PROJECT_training2114/packages/bin:$PATH -export HPCPY2021=1 -export PS1='π21[\u@\h \W]\$ ' +export LD_LIBRARY_PATH=/p/project/training2219/resources/code/text_stats/build:$LD_LIBRARY_PATH +export 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--git a/01_Introduction to IPython.ipynb b/solutions/00_Introduction to IPython.ipynb similarity index 94% rename from 01_Introduction to IPython.ipynb rename to solutions/00_Introduction to IPython.ipynb index 2edbe59..7d3b2c3 100644 --- a/01_Introduction to IPython.ipynb +++ b/solutions/00_Introduction to IPython.ipynb @@ -20,7 +20,7 @@ }, "source": [ "<div class=\"dateauthor\">\n", - "07 June 2021 | Jan H. Meinke\n", + "20 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -113,9 +113,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" } @@ -166,12 +163,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -289,7 +284,8 @@ }, "outputs": [], "source": [ - "%matplotlib inline # widget is an interactive alternative to inline\n", + "%matplotlib inline \n", + "# widget is an interactive alternative to inline\n", "import matplotlib.pyplot as plt\n", "import numpy" ] @@ -326,8 +322,8 @@ }, "outputs": [], "source": [ - "from IPython.display import set_matplotlib_formats\n", - "set_matplotlib_formats('pdf', 'svg')" + "import matplotlib_inline.backend_inline\n", + "matplotlib_inline.backend_inline.set_matplotlib_formats('pdf', 'svg')" ] }, { @@ -428,12 +424,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -469,12 +463,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -485,12 +477,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -501,12 +491,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -528,12 +516,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -612,12 +598,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -650,12 +634,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -664,12 +646,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -678,12 +658,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -692,12 +670,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -706,12 +682,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -720,12 +694,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -734,12 +706,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [] @@ -783,9 +753,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "fragment" } @@ -873,12 +840,10 @@ "cell_type": "code", "execution_count": null, "metadata": { - "jupyter": { - "outputs_hidden": true - }, "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ @@ -911,35 +876,49 @@ "Sometimes it may become necessary to reset the namespace, for example, if ``Out[]`` contains some large objects that are no longer needed. ``%reset`` has several options to reset variables including the history of directories, inputs, and output. Please, check ``%reset?`` for details." ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Entering special symbols" + ] + }, { "cell_type": "markdown", "metadata": {}, "source": [ - "IPython has several other interesting features. To learn more check out [IPython's documentation].\n", - "\n", - "[IPython's documentation]: https://ipython.readthedocs.io/en/stable/" + "IPython allows us to enter special symbols. To type $\\alpha$, for example, you start by typing `\\alpha` followed by the Tab key." ] }, { "cell_type": "code", "execution_count": null, - "metadata": { - "jupyter": { - "outputs_hidden": true - }, - "slideshow": { - "slide_type": "skip" - } - }, + "metadata": {}, "outputs": [], - "source": [] + "source": [ + "\\alpha" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "IPython has several other interesting features. To learn more check out [IPython's documentation].\n", + "\n", + "[IPython's documentation]: https://ipython.readthedocs.io/en/stable/" + ] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -951,7 +930,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/00_Bottlenecks.ipynb b/solutions/01_Bottlenecks.ipynb similarity index 77% rename from solutions/00_Bottlenecks.ipynb rename to solutions/01_Bottlenecks.ipynb index 7e9c5a8..d8ebdc8 100644 --- a/solutions/00_Bottlenecks.ipynb +++ b/solutions/01_Bottlenecks.ipynb @@ -11,7 +11,7 @@ "# Bottlenecks\n", "\n", "<div class=\"dateauthor\">\n", - "07 Jun 2021 | Jan H. Meinke\n", + "20 Jun 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -95,7 +95,7 @@ }, "source": [ "## CPU\n", - "### On JUWELS" + "### On JUSUF" ] }, { @@ -109,11 +109,10 @@ "\n", "Each core has the following features:\n", "\n", - "- processor frequency of 2.7 GHz (up to 3.7 GHz in turbo mode)\n", - "- 512 bit wide vector unit (8 double precision numbers)\n", + "- processor frequency of 2.25 GHz (up to 3.4 GHz in turbo mode)\n", + "- 256 bit wide vector unit (4 double precision numbers)\n", "- 2 Fused multiply-add (FMA) units each performing an FMA operation in a single cycle (each FMA counts as 2 floating point operations)\n", - "- When running all cores each FMA unit runs at 2.5 GHz (max)\n", - "- Peak performance is 2.5 \\* 8 \\* 2 \\* 2 GFlop/s = 80 GFlop/s" + "- Peak performance is 2.25 \\* 4 \\* 2 \\* 2 GFlop/s = 36 GFlop/s" ] }, { @@ -124,8 +123,8 @@ } }, "source": [ - "There are 24 cores per socket\n", - "- Peak performance of a socket is 24 * 80 GFlop/s = 1920 GFlop/s" + "There are 64 cores per socket\n", + "- Peak performance of a socket is 64 * 36 GFlop/s = 2304 GFlop/s" ] }, { @@ -136,9 +135,9 @@ } }, "source": [ - "This is the limit most people think of first, but it's often not the crucial one. Each core on JUWELS can perform ca. 80 GFlop/s if the code is completely *vectorized* and performs a *multiply and an add operation* at *each step*. If your code doesn't fulfill those requirements its peak performance will be less.\n", + "This is the limit most people think of first, but it's often not the crucial one. Each core on JUSUF can perform ca. 36 GFlop/s if the code is completely *vectorized* and performs a *multiply and an add operation* at *each step*. If your code doesn't fulfill those requirements its peak performance will be less.\n", "\n", - "Actually the peak performance is often less because the CPU temperature limit typically soon leads to throttling when using all cores. The guaranteed sustained frequency for JUWELS' FMA units is 1.9 GHz." + "Actually the peak performance is often less because the CPU temperature limit typically soon leads to throttling when using all cores. " ] }, { @@ -163,13 +162,13 @@ "source": [ "* L1 (per core):\n", " - 32 kiB data cache (+ 32 kiB instruction cache)\n", - " - Fastest memory (128 (load) + 64 (store)) B/cycle (latency: 4-5 cycles)\n", + " - Fastest memory (128 (load) + 64 (store)) B/cycle (latency: 4 cycles)\n", "* L2 (per core): \n", - " - 1 MiB\n", - " - 64 B/cycle (latency: 14 cycles)\n", + " - 512 KiB\n", + " - 64 B/cycle (latency: 13 cycles)\n", "* L3 (shared): \n", - " - 33 MiB\n", - " - ?? B/cycle (latency: 50-70 cycles)" + " - 256 MiB\n", + " - ?? B/cycle (latency: ~34 cycles on average)" ] }, { @@ -192,7 +191,7 @@ } }, "source": [ - "The memory bandwidth of a JUWELS node is about " + "The memory bandwidth of a JUSUF node is about " ] }, { @@ -203,7 +202,7 @@ } }, "source": [ - "120 GB/s. " + "190.7 GiB/s (~400 cycles latency)" ] }, { @@ -247,7 +246,7 @@ } }, "source": [ - "120 GB/s / 24 bytes/op = 5 Gop/s (multiply-add -> 10 GFLOP/s)" + "190 GB/s / 24 bytes/op = 8 Gop/s (multiply-add -> 16 GFLOP/s)" ] }, { @@ -258,7 +257,7 @@ } }, "source": [ - "I assume that we are dealing with double precision numbers (8 bytes). Then I have to read 3 * 8 bytes = 24 bytes and write 8 bytes. This is a multiply-add operation, so each core can do 40 billion of those per second, but it only receives 120 GB/s. 120GB/s / 24 B/op = 5Gop/s (10 GFLOP/s). This operation is clearly memory bound, if we have to get all the data from main memory." + "I assume that we are dealing with double precision numbers (8 bytes). Then I have to read 3 * 8 bytes = 24 bytes and write 8 bytes. This is a multiply-add operation, so each core can do 18 billion of those per second, but it only receives 190 GB/s. 190GB/s / 24 B/op = 8 Gop/s (16 GFLOP/s). This operation is clearly memory bound, if we have to get all the data from main memory." ] }, { @@ -280,7 +279,37 @@ } }, "source": [ - "This is quite common. Let's look at a matrix multiplication $C=AB$. To calculate the element i, j of the result matrix C, we multiply row i of A with column j of B and sum the results. This is the scalar or dot product of row i of A and column j of B. In code this looks like this:" + "This operation is quite common. Let's look at a matrix multiplication $C=AB$. To calculate the element i, j of the result matrix C, we multiply row i of A with column j of B and sum the results. This is the scalar or dot product of row i of A and column j of B. In code this looks like this:" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "```python\n", + "c = numpy.zeros((a.shape[0], b.shape[1])) \n", + "for i in range(a.shape[0]): \n", + " for j in range(b.shape[1]): \n", + " for k in range(a.shape[1]): \n", + " c[i, j] += a[i, k] * b[k, j]\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Let's make this into a proper function:" ] }, { @@ -288,8 +317,9 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ @@ -462,11 +492,11 @@ } }, "source": [ - "From our estimate above, we should be able to get at least twice this, but that's assuming we can achieve the maximum memory bandwidth. \n", + "From our estimate above, we should be able to get at least ten times this, but that's assuming we can achieve the maximum memory bandwidth. \n", "\n", - "A numpy ndarray uses C-order (row-order) for storage. This means that the last index is continuous in memory and a change in any other index results in a jump from one memory location to another. The order of the loops therefore means that for both c and b, we don't get the maximum bandwidth, because we jump around and only use one element of the cache line. \n", + "A numpy ndarray uses C-order (row-order) for storage. This means that the last index is continuous in memory and a change in any other index results in a jump from one memory location to another. The order of the loops therefore means that we don't get the maximum bandwidth for b, because we jump around and only use one element of the cache line. \n", "\n", - "A datum is not loaded by itself. Instead everytime, a datum is needed that is not available in cache, a cache line containing the datum is loaded. On JURECA the cache line is 64 bytes wide. \n", + "A datum is not loaded by itself. Instead everytime, a datum is needed that is not available in cache, a cache line containing the datum is loaded. On JUSUF the cache line is 64 bytes wide. Since we are using only 1/8 of the cache line we shouldn't see more than about 2 GFLOP/s.\n", "\n", "We can improve the performance by exchanging the loops:" ] @@ -515,7 +545,7 @@ } }, "source": [ - "Now, elements in c and b are accessed in the proper order and a[i, k] is constant for the loop. This changes our estimate, because, now we read 16 bytes/op. This gives us a maximum of 120 GB/s / 16 bytes/op = 7.5 GFLOP/s (15 GB/s). #Todo: shouldn't the last two not be gops and GFLOPs andtead of GFLOPs and GB/s??" + "Now, elements in b are accessed in the proper order and a[i, k] is constant for the loop. This changes our estimate, because, now we read 8 bytes/op in the innermost loop. This gives us a maximum of 190 GB/s / 8 bytes/op = 24 Gop/s (48 GFLOP/s)." ] }, { @@ -563,7 +593,7 @@ } }, "source": [ - "This is better than what we would expect from the bandwidth estimate, probably due to caching. One way to test this is to make the matrix larger, so that it doesn't fit in cache anymore." + "This is not much better. Let's take a look at a bigger matrix." ] }, { @@ -615,7 +645,9 @@ } }, "source": [ - "This is quite close to my estimate and shows that I have to increase the number of operations per byte loaded from main memory. Improving vectorization or using multiple threads wouldn't help.\n", + "This is even worse and corresponds to a bandwidth of about 8 GB/s.\n", + "\n", + "A possible explanation is that a single core may not be able to access the full bandwidth of the socket.\n", "\n", "To improve cache utilization, we have to change the algorithm. One way to improve the performance of the matrix multiplication is blocking (aka tiling). This is done, e.g., in OpenBLAS or Intel's Math Kernel Library (MKL)." ] @@ -642,6 +674,20 @@ "Let's see how long numpy takes for this:" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "import threadpoolctl" + ] + }, { "cell_type": "code", "execution_count": null, @@ -652,7 +698,9 @@ }, "outputs": [], "source": [ - "t_numpy = %timeit -o numpy.dot(a, b)" + "# Use only a single core\n", + "with threadpoolctl.threadpool_limits(limits=1, user_api='blas'):\n", + " t_numpy_single = %timeit -o numpy.dot(a, b)" ] }, { @@ -665,7 +713,35 @@ }, "outputs": [], "source": [ - "print(2e-9 * n**3 / t_numpy.best, \"GFLOP/s\") " + "print(2e-9 * n**3 / t_numpy_single.best, \"GFLOP/s (single core).\") " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "t_numpy_multi = %timeit -o numpy.dot(a, b)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "print(2e-9 * n**3 / t_numpy_multi.best, \"GFLOP/s (full node).\") " ] }, { @@ -676,7 +752,9 @@ } }, "source": [ - "The numpy version we use here, uses a fast math library. That's what you want." + "The numpy version we use here, uses a fast math library. That's what you want!\n", + "\n", + "This is still only a fraction of the theoretical peak performance. You can try bigger matrix sizes to see if things improve, but make sure to run them only with the numpy dot product." ] }, { @@ -720,7 +798,7 @@ } }, "source": [ - "Depending on your algorithm, different limits may be relevant, for example, we only used a single thread, but used the peak performance of the entire processor with 24 cores. If the data fits completely in L2 cache the available bandwidth is higher once the data has been loaded. The following shows a plot with a few more limits." + "Depending on your algorithm, different limits may be relevant, for example, we only used a single thread, but used the peak performance of the entire processor with 64 cores. If the data fits completely in L2 cache the available bandwidth is higher once the data has been loaded. The following shows a plot with a few more limits." ] }, { @@ -793,9 +871,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022 (local)", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -807,7 +885,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.1" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/02_NumPy_concepts.ipynb b/solutions/02_NumPy_concepts.ipynb index a2e401d..0a0138d 100644 --- a/solutions/02_NumPy_concepts.ipynb +++ b/solutions/02_NumPy_concepts.ipynb @@ -11,7 +11,7 @@ "# NumPy - an HPC perspective\n", "\n", "<div class=\"dateauthor\">\n", - "07 June 2021 | Olav Zimmermann\n", + "20 June 2022 | Olav Zimmermann\n", "</div>" ] }, @@ -50,8 +50,7 @@ } }, "source": [ - "NumPy is a library, written in C, to enable fast numerical computing in Python. Since its inception in 1995, NumPy has become the first choice for numeric data processing in python. The main sacrifice to enable its high speed is the restriction to \n", - "containers with uniform memory layout, i.e., arrays that contain items of uniform static datatype." + "NumPy is a library, written in C, to enable fast numerical computing in Python. Since its inception in 1995, NumPy has become the first choice for numeric data processing in python. As numpy derives its speed from SIMD parallel processing, numpy requires containers with uniform memory layout, i.e., arrays that contain items of uniform static datatype." ] }, { @@ -97,7 +96,10 @@ } }, "source": [ - "NumPy does not implement everything itself. Instead it uses the fact that with BLAS (low level routines), and LAPACK (high level routines, based on BLAS), two widely adopted interfaces for linear algebra routines exist and that for almost all distributions and operation systems at least one library suporting the BLAS/LAPACK interface exists." + "NumPy does not implement everything itself. Instead it uses the fact that with [BLAS][] (low level routines), and [LAPACK][] (high level routines, based on BLAS), two widely adopted interfaces for linear algebra routines exist and that for almost all distributions and operation systems at least one library supporting the BLAS/LAPACK interface exists.\n", + "\n", + "[BLAS]: https://en.wikipedia.org/wiki/Basic_Linear_Algebra_Subprograms\n", + "[LAPACK]: https://en.wikipedia.org/wiki/LAPACK" ] }, { @@ -108,10 +110,11 @@ } }, "source": [ - "While not mandatory, NumPy can be linked against high performance linear algebra libraries such as Intel's MKL, AMD's BLIS or IBM's ESSL folowing the BLAS/LAPACK APIs. These libraries can give you speed-ups of up to two orders of magnitude compared to the standard LAPACK library. In fact a number of distributions provide numpy implementations that are statically linked to Intel's MKL and when building, NumPy gives a preference to the optimized libraries (MKL, BLIS) over the slower, more hardware independent libraries (OpenBLAS, ATLAS).\n", + "While not mandatory, NumPy can be linked against high performance linear algebra libraries such as Intel's MKL, AMD's BLIS or IBM's ESSL following the BLAS/LAPACK APIs. These libraries can give you speed-ups of up to two orders of magnitude compared to the standard LAPACK library. In fact a number of distributions provide numpy implementations that are statically linked to Intel's MKL and when building, NumPy gives a preference to the optimized libraries (MKL, BLIS) over the slower, more hardware independent libraries (OpenBLAS, ATLAS).\n", "\n", "**Notes:** \n", - "- Not all routines of MKL are necessarily faster than those in OpenBLAS, e.g. random number generation. \n", + "- Not all routines of MKL are necessarily faster than those in OpenBLAS, e.g. random number generation.\n", + "- By default NumPy only links the linear algebra routines to MKL. On PyPi you can find packages that wrap MKL's FFT and random number generation functions in Python.\n", "- By default NumPy prefers Intel MKL over AMD BLIS, even on AMD processors. MKL works with AMD processors, but by default does not use the fast AVX2 and AVX512 BLAS routines that it uses when it has detected Intel hardware but only the much slower SSE2 routines. While there are hacks to change that behaviour it may therefore be more reasonable to change the order of preference for the different BLAS libraries on AMD platforms." ] }, @@ -311,13 +314,15 @@ "source": [ "<table>\n", " <tr><th>package/module</th><th>extension(s)</th><th>other HPC relevant characteristics</th></tr>\n", - " <tr><td><code><b>cuPy</b></code></td><td>cuPy array: subset of ndarray functionality</td><td>ndarrays on GPUs</td></tr>\n", - " <tr><td><code><b>pandas</b></code></td><td>pandas dataframe: labeled data, non-numerical data, multi-indexing, grouping</td><td>fast CSV-parser</td></tr>\n", - " <tr><td><code><b>cuDF</b></code></td><td>cuDF dataframe: subset of pandas dataframe functionality</td><td>pandas dataframes on GPUs</td></tr>\n", - " <tr><td><code><b>dask</b></code></td><td>dask array: only subset of ndarray functionality</td><td>tiled ndarrays larger than main memory, distributed processing on multiple nodes</td></tr>\n", - " <tr><td><code><b>dask</b></code></td><td>dask dataframe: only subset of pandas dataframe functionality</td><td>tiled dataframes larger than main memory, distributed processing on multiple nodes</td></tr>\n", - " <tr><td><code><b>dask-cuDF</b></code></td><td>cuDF dataframe: subset of pandas dataframe functionality</td><td>tiled dataframes on multiple GPUs and multiple nodes</td></tr>\n", - " <tr><td><code><b>sparse</b></code></td><td>ndarray functionality on sparse arrays (COO layout)</td><td></td></tr></table>" + " <tr><td><code><b><a href=\"https://cupy.dev/\">CuPy</a></b></code></td><td>cuPy array: subset of ndarray functionality</td><td>ndarrays on GPUs</td></tr>\n", + " <tr><td><code><b><a href=\"https://pandas.pydata.org/\">pandas</a></b></code></td><td>pandas dataframe: labeled data, non-numerical data, multi-indexing, grouping</td><td>fast CSV-parser</td></tr>\n", + " <tr><td><code><b><a href=\"https://github.com/rapidsai/cudf\">cuDF</a></b></code></td><td>cuDF dataframe: subset of pandas dataframe functionality</td><td>pandas dataframes on GPUs</td></tr>\n", + " <tr><td><code><b><a href=\"https://www.dask.org/\">dask</a></b></code></td><td>dask array: only subset of ndarray functionality</td><td>tiled ndarrays larger than main memory, distributed processing on multiple nodes</td></tr>\n", + " <tr><td><code><b><a href=\"https://www.dask.org/\">dask</a></b></code></td><td>dask dataframe: only subset of pandas dataframe functionality</td><td>tiled dataframes larger than main memory, distributed processing on multiple nodes</td></tr>\n", + " <tr><td><code><b><a href=\"https://docs.rapids.ai/api/cudf/nightly/user_guide/10min.html\">dask-cuDF</a></b></code></td><td>cuDF dataframe: subset of pandas dataframe functionality</td><td>tiled dataframes on multiple GPUs and multiple nodes</td></tr>\n", + " <tr><td><code><b><a href=\"https://sparse.pydata.org/en/0.13.0/\">sparse</a></b></code></td><td>ndarray functionality on sparse arrays (COO layout)</td><td></td></tr>\n", + " <tr><td><code><b><a href=\"https://docs.scipy.org/doc/scipy/reference/sparse.html\">SciPy.sparse</a></b></code></td><td>ndarray functionality on sparse arrays (all layouts)</td><td></td></tr>\n", + " </table>" ] }, { @@ -328,7 +333,12 @@ } }, "source": [ - "Notable packages that do not implement the ndarray interface are `numpy.matrix, scipy.sparse, pytorch, JAX` while `tensorflow` has an experimental interface." + "One notable package that does not implement the ndarray interface is `numpy.matrix` while most ML frameworks have recently added experimental (i.e. incomplete) interfaces or are working on them like [JAX/XLA][], [tensorflow][], and [pytorch][]. As data structures in these packages differ regarding their allowed access (many packages implement tensors as immutable types) and their memory alignment requirements (some require 16 byte alignments) their functionality often covers only a small subset of the full ndarray capabilities. There are a lot of discussions ongoing how to arrive at a more universal array/tensor interface (see e.g. [here][]). \n", + "\n", + "[here]: https://discuss.scientific-python.org/t/a-proposed-design-for-supporting-multiple-array-types-across-scipy-scikit-learn-scikit-image-and-beyond/131/18\n", + "[JAX/XLA]: https://github.com/google/jax/issues/4486\n", + "[pytorch]: https://github.com/pytorch/pytorch/issues/54138\n", + "[tensorflow]: https://www.tensorflow.org/guide/tf_numpy" ] }, { @@ -345,9 +355,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -359,7 +369,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/03_ThinkVector.ipynb b/solutions/03_ThinkVector.ipynb index d512407..00ff200 100644 --- a/solutions/03_ThinkVector.ipynb +++ b/solutions/03_ThinkVector.ipynb @@ -11,7 +11,7 @@ "# Think Vector\n", "\n", "<div class=\"dateauthor\">\n", - "07 June 2021 | Jan H. Meinke\n", + "20 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -57,7 +57,12 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, "outputs": [], "source": [ "# Create a random number generator that uses the Mersenne-Twister bit generator.\n", @@ -488,8 +493,8 @@ "outputs": [], "source": [ "A_orig = numpy.random.random((10, 10))\n", - "A_orig[:,0] = 0\n", - "A_orig[:,-1] = 1" + "A_orig[:, 0] = 0\n", + "A_orig[:, -1] = 1" ] }, { @@ -541,7 +546,7 @@ "source": [ "for i in range(A.shape[0]):\n", " for j in range(1, A.shape[1] - 1):\n", - " B[i, j] = 0.25 * (A[(i + 1) % A.shape[0] , j] + A[i - 1, j] \n", + " B[i, j] = 0.25 * (A[(i + 1) % A.shape[0], j] + A[i - 1, j] \n", " + A[i, (j + 1)] + A[i, j - 1])" ] }, @@ -814,6 +819,133 @@ "Since it is impracticable to calculate an infinite number of iterations, one usually sets an upper limit for the number of iterations (the maximum of *i* ), for example, 20. To get pretty pictures, we can map the value of *i* for which $|z_i|>2$ is true for the first time to a color." ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Interlude complex numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For real numbers $\\sqrt{-1}$ is not defined, but if we just imagine (i.e., define) it to be $i:=\\sqrt{-1}$ we get complex numbers." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Complex numbers have two components a real and an imaginary part. The imaginary part is marked by *i*, e.g., 0 + 0i, 1 + 0.5i, 0.4 + 2i, or 0 + 3.14i. You can think of these as coordinates in a plane where the x-axis represents the real and the y-axis represents the imaginary part. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Complex numbers in a plane" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [] + }, + "outputs": [], + "source": [ + "C = numpy.array([0 + 0j, 1 + 0.5j, 0.4 + 2j, 3.14j])\n", + "plt.scatter(C.real, C.imag)\n", + "plt.xlabel(\"Real\")\n", + "ax = plt.ylabel(\"Imaginary\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Complex arithmetic" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "If we want to add two complex numbers, we add the real and imaginary parts separately just like we would do for vectors, e.g., " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "(1 + 0.5i) + (0.57 + 3.14i) = (1.57 + 3.64i)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "Multiplying to complex numbers is more interesting: " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "(1 + 0.5i)(0.57 + 3.14i) = 0.57 + 3.14i + 0.285i + 1.57i<sup>2</sup>. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Since $i^2 = -1$ this becomes 0.57 + 3.14i + 0.285i - 1.57 = -1 + 3.425i." + ] + }, { "cell_type": "markdown", "metadata": { @@ -822,7 +954,33 @@ } }, "source": [ - "Here is a function that does this:" + "Lucky for us Python knows how to work with complex numbers. It uses `1j` to represent the imaginary number, e.g., `c = 0.4 + 2j`." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "print(f\"(1 + 0.5j) + (0.57 + 3.14j) = {(1 + 0.5j) + (0.57 + 3.14j):.3f}\\n(1 + 0.5j) * (0.57 + 3.14j) = {(1 + 0.5j) * (0.57 + 3.14j):.3f}.\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "In short, we can use complex numbers just like any other numerical type. Here is a function that calculates the series and return the iteration at which $|z| > 2$:" ] }, { @@ -902,6 +1060,11 @@ "**Hints:** \n", "\n", "* You can use `numpy.meshgrid()` to generate your 2D array of points.\n", + " \n", + " If you have `x = numpy.array([-1.1, -1, 0, 1.2])` and `y = numpy([-0.5j, 0j, 0.75j])` and call `XX, YY = numpy.meshgrid(x, y)`, it returns two arrays of shape 3 by 4. The first one contains 3 rows where each row is a copy of x. The second one contains 4 columns where each colomn is a copy of y.\n", + " \n", + " Now you can add those two array to get points in the complex plane. `P = XX + YY`.\n", + " \n", "* You somehow need to mask the points that already diverged in future iterations.\n", "* You don't have to put this in a function" ] @@ -934,16 +1097,6 @@ "You can use NumPy's meshgrid function to construct a two-dimensional grid:" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy \n", - "numpy.meshgrid?" - ] - }, { "cell_type": "code", "execution_count": null, @@ -1100,6 +1253,9 @@ "cell_type": "code", "execution_count": null, "metadata": { + "slideshow": { + "slide_type": "skip" + }, "tags": [ "Solution" ] @@ -1112,16 +1268,21 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022 (local)", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1133,7 +1294,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/04_Particle Dynamics.ipynb b/solutions/04_Particle Dynamics.ipynb index 1a934f0..86a7860 100644 --- a/solutions/04_Particle Dynamics.ipynb +++ b/solutions/04_Particle Dynamics.ipynb @@ -7,7 +7,7 @@ "source": [ "# Particle Dynamics with Python\n", "<div class=\"dateauthor\">\n", - "07 June 2021 | Jan H. Meinke\n", + "20 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -30,7 +30,7 @@ "metadata": {}, "outputs": [], "source": [ - "%matplotlib widget" + "%matplotlib inline" ] }, { @@ -49,7 +49,7 @@ "where $\\mathbf F$ is the force, $m$ the mass, and $\\mathbf a$ the acceleration. $\\mathbf F$ and \n", "$\\mathbf a$ are vectors.\n", "\n", - "In general, this problem is only solvable analytically for two particles. If there are more \n", + "In general, this problem is solvable analytically for two particles only . If there are more \n", "particles, we have to look for a numerical solution.\n", "\n", "You may remember that you can calculate the velocity $\\mathbf v$ of a particle as\n", @@ -474,9 +474,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -488,7 +488,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/05_Profiling a simple md code.ipynb b/solutions/05_Profiling a simple md code.ipynb index a367d64..a4f9897 100644 --- a/solutions/05_Profiling a simple md code.ipynb +++ b/solutions/05_Profiling a simple md code.ipynb @@ -10,7 +10,7 @@ "source": [ "# Profiling\n", "<div class=\"dateauthor\">\n", - "07 June 2021 | Jan H. Meinke\n", + "21 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -58,6 +58,30 @@ "Intel Advisor since 2017 beta" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Scalene" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "..." + ] + }, { "cell_type": "markdown", "metadata": { @@ -643,9 +667,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022 (local)", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -657,7 +681,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/08_LocalParallel.ipynb b/solutions/06_LocalParallel.ipynb similarity index 98% rename from 08_LocalParallel.ipynb rename to solutions/06_LocalParallel.ipynb index 6bb08b7..7124fa5 100644 --- a/08_LocalParallel.ipynb +++ b/solutions/06_LocalParallel.ipynb @@ -11,7 +11,7 @@ "# Interactive Parallel Computing with IPython Parallel\n", "\n", "<div class=\"dateauthor\">\n", - "08 June 2021 | Jan H. Meinke\n", + "21 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -27,16 +27,16 @@ "\n", "Click on the ``+``-sign at the top of the Files tab on the left to start a new launcher. In the launcher click on Terminal. A terminal will open as a new tab. Grab the tab and pull it to the right to have the terminal next to your notebook.\n", "\n", - "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2114/hpcpy21`.\n", + "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2219/hpcpy22`.\n", "\n", "In the terminal type ``ipcluster``. You'll see the help message telling you that you need to give it subcommand. Take a look at the message and then enter \n", "\n", "``` bash\n", - "export OMP_NUM_THREADS=12\n", + "export OMP_NUM_THREADS=32\n", "ipcluster start --n=4\n", "```\n", "\n", - "This will start a cluster with four engines and should limit the number of threads to 12 threads per engine to avoid oversubscription.\n", + "This will start a cluster with four engines and should limit the number of threads to 32 threads per engine to avoid oversubscription.\n", "\n", "> If you use the classical [Jupyter][IP] notebook, this is even easier if you have the cluster extension installed. (We don't have that one on our JupyterHub, yet). One of the tabs of your browser has the title \"Home\". If you switch to that tab, there are several tabs within the web page. One of them is called \"IPython Clusters\". Click on \"IPython Clusters\", increase the number of engines in the \"default\" profile to 4, and click on Start. The status changes from stopped to running. After you did that come back to this tab.\n", "\n", @@ -462,6 +462,22 @@ "Magic commands are blocking by default, i.e., the next cell can only be executed after all the engines have finished their work. We can pass the option ``--noblock`` to change that behavior." ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%px\n", + "import threadpoolctl\n", + "threadpoolctl.threadpool_limits(limits=32, user_api='blas')" + ] + }, { "cell_type": "code", "execution_count": null, @@ -1788,11 +1804,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, + "metadata": {}, "outputs": [], "source": [] } @@ -1800,9 +1812,9 @@ "metadata": { "celltoolbar": "Slideshow", "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1814,7 +1826,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/09_LocalTaskParallel.ipynb b/solutions/07_LocalTaskParallel.ipynb similarity index 99% rename from 09_LocalTaskParallel.ipynb rename to solutions/07_LocalTaskParallel.ipynb index 0d7e42b..06251ec 100644 --- a/09_LocalTaskParallel.ipynb +++ b/solutions/07_LocalTaskParallel.ipynb @@ -336,9 +336,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -350,7 +350,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/10_Numba vectorize.ipynb b/solutions/08_Numba vectorize.ipynb similarity index 99% rename from solutions/10_Numba vectorize.ipynb rename to solutions/08_Numba vectorize.ipynb index 6194a38..4661df7 100644 --- a/solutions/10_Numba vectorize.ipynb +++ b/solutions/08_Numba vectorize.ipynb @@ -11,7 +11,7 @@ "# Numba vectorize\n", "\n", "<div class=\"dateauthor\">\n", - "08 June 2021 | Jan H. Meinke\n", + "21 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -597,9 +597,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -611,7 +611,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/11_NumbaIntro.ipynb b/solutions/09_NumbaIntro.ipynb similarity index 99% rename from solutions/11_NumbaIntro.ipynb rename to solutions/09_NumbaIntro.ipynb index 2819978..01d6aca 100644 --- a/solutions/11_NumbaIntro.ipynb +++ b/solutions/09_NumbaIntro.ipynb @@ -11,7 +11,7 @@ "# Introduction to Numba's jit compiler\n", "\n", "<div class=\"dateauthor\">\n", - "08 June 2021 | Jan H. Meinke\n", + "22 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -1458,9 +1458,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1472,7 +1472,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/12_Speeding up your code with Cython.ipynb b/solutions/10_Speeding up your code with Cython.ipynb similarity index 97% rename from solutions/12_Speeding up your code with Cython.ipynb rename to solutions/10_Speeding up your code with Cython.ipynb index f4a96bb..6781081 100644 --- a/solutions/12_Speeding up your code with Cython.ipynb +++ b/solutions/10_Speeding up your code with Cython.ipynb @@ -20,7 +20,7 @@ }, "source": [ "<div class=\"dateauthor\">\n", - "09 June 2021 | Jan H. Meinke\n", + "22 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -82,7 +82,8 @@ }, "outputs": [], "source": [ - "import numpy" + "import numpy\n", + "import threadpoolctl" ] }, { @@ -510,7 +511,7 @@ }, "outputs": [], "source": [ - "%%cython --compile-args=-O2 --compile-args=-march=native --force\n", + "%%cython --compile-args=-O2 --compile-args=-march=native --compile-args=-w --force \n", "import numpy as np\n", "cimport numpy as np\n", "cimport cython\n", @@ -588,7 +589,7 @@ }, "outputs": [], "source": [ - "%%cython --compile-args=-fopenmp --compile-args=-O2 --compile-args=-march=native --link-args=-fopenmp --force\n", + "%%cython --compile-args=-fopenmp --compile-args=-O2 --compile-args=-march=native --compile-args=-w --link-args=-fopenmp --force\n", "import numpy as np\n", "cimport numpy as np\n", "cimport cython\n", @@ -618,7 +619,10 @@ }, "outputs": [], "source": [ - "dot6_timing = %timeit -o dot(v,w)" + "# Let's limit the number of threads we use since the overhead for 256 threads would \n", + "# kill any chance of improved performance. You can play around with the number.\n", + "with threadpoolctl.threadpool_limits(16):\n", + " dot6_timing = %timeit -o dot(v,w)" ] }, { @@ -794,7 +798,9 @@ } }, "source": [ - "So far we have used IPython and the Cython magic to build and test our extension within a notebook. Once we are satisfied and want to put our extension in production, we want to be able to build the extension without IPython. The recommended way to do that is to use `distutils` and a `setup.py` file." + "So far we have used IPython and the Cython magic to build and test our extension within a notebook. Once we are satisfied and want to put our extension in production, we want to be able to build the extension without IPython. The recommended way to do that is to use `distutils` and a `setup.py` file.\n", + "\n", + "Note that distutils has been marked as deprecated as of Python 3.10, but we are still using Python 3.9.x on our systems." ] }, { @@ -1094,7 +1100,8 @@ "v = np.arange(10000000, dtype=int)\n", "w = np.arange(10000000, dtype=int)\n", "%timeit -n 1 pydot(v,w)\n", - "%timeit dot(v,w)\n", + "with threadpoolctl.threadpool_limits(16):\n", + " %timeit dot(v,w)\n", "%timeit udot(v,w)\n", "%timeit np.dot(v,w)" ] @@ -1351,9 +1358,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022 (local)", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1365,7 +1372,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/13_Writing your own Python bindings.ipynb b/solutions/11_Writing your own Python bindings.ipynb similarity index 98% rename from solutions/13_Writing your own Python bindings.ipynb rename to solutions/11_Writing your own Python bindings.ipynb index 98170e0..79ec3b6 100644 --- a/solutions/13_Writing your own Python bindings.ipynb +++ b/solutions/11_Writing your own Python bindings.ipynb @@ -16,7 +16,7 @@ "metadata": {}, "source": [ "<div class=\"dateauthor\">\n", - "09 June 2021 | Jan H. Meinke\n", + "22 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -92,7 +92,7 @@ "\n", "Wait until the build has finished and then continue with this notebook.\n", "\n", - "**Tip:** You can open a terminal from within JupyterLab by going to File->New->Terminal. To get the right environment in a terminal `source $PROJECT_training2114/hpcpy21`." + "**Tip:** You can open a terminal from within JupyterLab by going to File->New->Terminal. To get the right environment in a terminal `source $PROJECT_training2119/hpcpy22`." ] }, { @@ -255,7 +255,7 @@ "We can access Fortran functions almost like C functions. The exact function name may differ, though. The default symbol \n", "when compiled with ifort or gfortran is ``word_frequency_``. This can be changed with the option `-fno-underscoring` (gcc) or `-assume nounderscore` (Intel).\n", "\n", - "On JUWELS, we are using the Intel Fortran compiler ifort. " + "Here, we are using the gfortram. " ] }, { @@ -268,7 +268,7 @@ "source": [ "### Exercise\n", "Use the terminal that you used earlier to run `build.sh` or open a new one. Make sure you are in the \n", - "tutorial directory. Source `hpcpy21` using `source hpcpy21`. Change into code/textstats/ and compile \n", + "tutorial directory. Source `hpcpy22` using `source $PROJECT/hpcpy22`. Change into code/textstats/ and compile \n", "the file word_frequency.F90 with the following command:\n", "\n", "```bash\n", @@ -464,7 +464,7 @@ }, "outputs": [], "source": [ - "%%cython -a\n", + "%%cython -a --compile-args=-w\n", "import numpy\n", "cimport numpy # Make C-style calls available\n", "cimport cython\n", @@ -1182,7 +1182,7 @@ " py::class_<Point3D>(m, \"Point3D\")\n", " .def(py::init<double, double, double>())\n", " .def(py::init<std::vector<double>>())\n", - " .def(\"translate\", (void (Point3D::*)(double, double, double)) &Point3D::translate,\n", + " .def(\"translate\", py::overload_cast<double, double, double>(&Point3D::translate),\n", " R\"doc(Move this point by (dx, dy, dz).\n", " \n", " Parameters\n", @@ -1527,9 +1527,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1541,7 +1541,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/15_Introduction to MPI.ipynb b/solutions/12_Introduction to MPI.ipynb similarity index 83% rename from solutions/15_Introduction to MPI.ipynb rename to solutions/12_Introduction to MPI.ipynb index 46b75a9..924eff5 100644 --- a/solutions/15_Introduction to MPI.ipynb +++ b/solutions/12_Introduction to MPI.ipynb @@ -11,7 +11,7 @@ "# Introduction to MPI\n", "\n", "<div class=\"dateauthor\">\n", - "10 June 2021 | Jan H. Meinke\n", + "23 June 2022 | Jan H. Meinke\n", "</div>" ] }, @@ -58,7 +58,7 @@ } }, "source": [ - "MPI processes talk to each other via communicators. The global communicator `MPI.COMM_WORLD` connects all MPI processes. Each process has a unique *rank* within `MPI.COMM_WORLD`. The process with `rank=0` is usually called the root process. MPI processes can participate in different communicators and may have a different rank in these communicators." + "MPI processes talk to each other via *communicators*. The global communicator `MPI.COMM_WORLD` connects all MPI processes. Each process has a unique *rank* within `MPI.COMM_WORLD`. The process with `rank=0` is usually called the root process. MPI processes can participate in different communicators and may have a different rank in these communicators." ] }, { @@ -172,68 +172,64 @@ } }, "source": [ - "You can find more information about MPI at http://materials.jeremybejarano.com/MPIwithPython/index.html, the documentation of mpi4py at https://mpi4py.readthedocs.io/en/stable/ (take a look at the tutorials), and the API reference at https://mpi4py.bitbucket.io/apiref/index.html." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy\n", - "from matplotlib import pyplot as plt" + "You can find more information about MPI at http://materials.jeremybejarano.com/MPIwithPython/index.html and the documentation of mpi4py at https://mpi4py.readthedocs.io/en/stable/ (take a look at the tutorials and the reference section)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, "source": [ - "## Starting the engines" + "Importing MPI initializes MPI and sets up the default communicator `COMM_WORLD`, which includes all processes involved in this MPI program.\n", + "\n", + "Using `COMM_WORLD`, each process can determine its *rank* and the total number of ranks available:" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, + "outputs": [], "source": [ - "**Note, this is only needed to run MPI programs from a Jupyter notebook.**" + "%%writefile hello_mpi.py\n", + "from mpi4py import MPI\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "print(f\"I'm {rank + 1} of {size}. Resistance is futile.\")" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { - "slide_type": "notes" - } + "slide_type": "skip" + }, + "tags": [] }, + "outputs": [], "source": [ - "We can use ipyparallel to run MPI from a notebook. To do that, we need to start some IPython engines. " + "!srun --pty -n 4 -p batch -A slbio python3 hello_mpi.py " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "notes" + "slide_type": "slide" } }, "source": [ - "Click on the ``+``-sign at the top of the Files tab on the left to start a new launcher. In the launcher click on Terminal. A terminal will open as a new tab. Grab the tab and pull it to the right to have the terminal next to your notebook.\n", - "\n", - "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2114/hpcpy21`." + "## Point to point" ] }, { @@ -244,36 +240,36 @@ } }, "source": [ - "Next start the ipcontroller: `ipcontroller &`. After that we can launch 4 MPI tasks with 12 threads each like this\n", - "\n", - "```bash\n", - "export OMP_NUM_THREADS=12\n", - "srun -n 4 -c 12 --ntasks-per-node 4 ipengine start\n", - "```\n", + "We can send messages from one rank to another. \n", "\n", - "**Note**, you can can start the controller and the engines in separate terminals. That will keep the output separate." + "The sender will use `Send` and the receiver a corresponding `Recv`." ] }, { "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, + "metadata": {}, "source": [ - "## Connecting to the engines" + "```python\n", + "if rank == 0:\n", + " print (\"I'm rank zero and I'm sending a datum.\")\n", + " comm.Send(a[0], dest = 1) # Default destination is 0!\n", + "elif rank == 1:\n", + " print (\"I'm rank one and I'm receiving a datum.\")\n", + " comm.Recv(b, source = 0) # Default source is 0!\n", + "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, "source": [ - "Next, we want to connect to the engines:" + "The `buf` argument needs to implement the [buffer protocol](https://docs.python.org/3/c-api/buffer.html). This is true, for example, for numpy arrays, but not for primitive types such as float. That's the reason we use `numpy.ones` and `numpy.zeros` of size 1 below.\n", + "\n", + "The following exercises will only work if more than one process is available." ] }, { @@ -286,8 +282,26 @@ }, "outputs": [], "source": [ - "from ipyparallel import Client\n", - "rc = Client()" + "%%writefile hello_ptp.py\n", + "import sys\n", + "import numpy\n", + "from mpi4py import MPI\n", + "\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "\n", + "a = numpy.ones(1)\n", + "b = numpy.zeros(1)\n", + "if (size < 2):\n", + " print (\"Warning! Not enough ranks available!\" )\n", + "else:\n", + " if rank == 0:\n", + " print (\"I'm rank zero and I'm sending a datum.\")\n", + " comm.Send(a[0], dest = 1) # Default destination is 0!\n", + " elif rank == 1:\n", + " print (\"I'm rank one and I'm receiving a datum.\")\n", + " comm.Recv(b, source = 0) # Default source is 0!\n" ] }, { @@ -296,48 +310,34 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "rc.ids" + "!srun --pty -n 4 -p batch -A training2219 --time 00:10:00 python3 hello_ptp.py" ] }, { "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "Next, we need to create a view and activate it." - ] - }, - { - "cell_type": "code", - "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" } }, - "outputs": [], "source": [ - "view = rc[:]\n", - "view.activate()\n", - "view.block = True" + "**Note**, how we used `rank` to perform different work on the task with rank 0 and the task with rank 1 using if statements. This is a common pattern in MPI programs. The task with rank 0 is often referred to as *root*." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "subslide" } }, "source": [ - "## Setting up for MPI" + "### Sendrecv" ] }, { @@ -348,25 +348,21 @@ } }, "source": [ - "We are now ready to use MPI with our IPython notebook.\n", - "\n", - "We will use the cell magic ``%%px`` and the line magic ``%px`` to execute commands on all the engines. So, whenenver you see ``%%px`` the cell is executed on *all* the engines, but not in the process that controls your notebook!\n", - "\n", - "**Note**: Everything that appears *after* ``%%px`` and ``%px`` would be part of a regular mpi4py program." + "If you need to send data to another rank and receive data from the same rank, combining `Send` and `Recv` command is dangerous and easily leads to deadlocks. Use `Sendrecv` instead." ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], + "cell_type": "markdown", + "metadata": {}, "source": [ - "%px from mpi4py import MPI # Import and initialize MPI on the engines\n", - "#from mpi4py import MPI # Import and initialize MPI in the notebook " + "```python\n", + "if rank == 0:\n", + " comm.Sendrecv(a, 1, recvbuf=b, source=1)\n", + " print(f\"[{rank}] {b[0]}\")\n", + "elif rank == 1:\n", + " comm.Sendrecv(a, 0, recvbuf=b, source=0)\n", + " print(f\"[{rank}] {b[0]}\")\n", + "```" ] }, { @@ -375,40 +371,27 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "%px import numpy" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "Importing MPI initializes the MPI and sets up the default communicator `COMM_WORLD`, which includes all processes involved in this MPI program.\n", + "%%writefile hello_sendrecv.py\n", + "import numpy\n", + "from mpi4py import MPI\n", "\n", - "Using `COMM_WORLD`, each process can determine its *rank* and the total number of ranks available:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "subslide" - } - }, - "outputs": [], - "source": [ - "%%px\n", "comm = MPI.COMM_WORLD\n", "rank = comm.Get_rank()\n", - "size = comm.Get_size()" + "size = comm.Get_size()\n", + "\n", + "a = numpy.ones(1, dtype=int) * rank\n", + "b = numpy.ones(1, dtype=int) * rank\n", + "if rank == 0:\n", + " comm.Sendrecv(a, 1, recvbuf=b, source=1)\n", + " print(f\"[{rank}] {b[0]}\")\n", + "elif rank == 1:\n", + " comm.Sendrecv(a, 0, recvbuf=b, source=0)\n", + " print(f\"[{rank}] {b[0]}\")\n" ] }, { @@ -416,13 +399,13 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", - "print(\"I'm %d of %d. Resistance is futile.\" % (rank + 1, size))" + "!srun --pty -n 4 -p batch -A training2219 --time 00:10:00 python3 hello_sendrecv.py" ] }, { @@ -433,70 +416,7 @@ } }, "source": [ - "## Point to point" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "We can send messages from one rank to another. \n", - "\n", - "The sender will use `Send` and the receiver a corresponding `Recv`. To get the doc string, you can run" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "%%px --target 0 \n", - "help(MPI.Comm.Send)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "The `buf` argument needs to implement the [buffer protocol](https://docs.python.org/3/c-api/buffer.html). This is true, for example, for numpy arrays, but not for primitive types such as float. That's the reason we use `numpy.ones` and `numpy.zeros` of size 1 below.\n", - "\n", - "The following exercises will only work if more than one process is available." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%%px\n", - "import sys\n", - "import numpy\n", - "comm = MPI.COMM_WORLD\n", - "a = numpy.ones(1)\n", - "b = numpy.zeros(1)\n", - "if (size < 2):\n", - " print (\"Warning! Not enough ranks available!\" )\n", - "else:\n", - " if rank == 0:\n", - " print (\"I'm rank zero and I'm sending a datum.\")\n", - " comm.Send(a[0], dest = 1) # Default destination is 0!\n", - " elif rank == 1:\n", - " print (\"I'm rank one and I'm receiving a datum.\")\n", - " comm.Recv(b, source = 0) # Default source is 0!\n" + "## Parallel reduction" ] }, { @@ -507,18 +427,26 @@ } }, "source": [ - "**Note**, how we used `rank` to perform different work on the task with rank 0 and the task with rank 1 using if statements. This is a common pattern in MPI programs. The task with rank 0 is often referred to as *root*." + "We'll first generate an array of random number on rank 0 and distribute (`Scatter`) it to all ranks:" ] }, { "cell_type": "markdown", "metadata": { - "slideshow": { - "slide_type": "subslide" - } + "tags": [] }, "source": [ - "### Sendrecv" + "```python\n", + "a_partial = numpy.empty(N)\n", + "if rank == 0:\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = rng.uniform(size=N * size)\n", + "else:\n", + " a = numpy.empty(1)\n", + "\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "```\n", + "Note that `a` and `a_partial` are defined for all ranks!" ] }, { @@ -526,38 +454,26 @@ "metadata": { "slideshow": { "slide_type": "notes" - } + }, + "tags": [] }, "source": [ - "If you need to send data to another rank and receive data from the same rank, combining `Send` and `Recv` command is dangerous and easily leads to deadlocks. Use `Sendrecv` instead." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "%%px\n", - "a = numpy.ones(1) * rank\n", - "b = numpy.ones(1) * rank\n", - "if rank == 0:\n", - " comm.Sendrecv(a, 1, recvbuf=b, source=1)\n", - " print(f\"[{rank}] {b[0]}\")\n", - "elif rank == 1:\n", - " comm.Sendrecv(a, 0, recvbuf=b, source=0)\n", - " print(f\"[{rank}] {b[0]}\")\n" + "Next, we'll sum up the partial results and then use sum up (`reduce`) the partial results:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" - } + "slide_type": "fragment" + }, + "tags": [] }, "source": [ - "## Parallel reduction" + "```python\n", + "sum_partial = numpy.sum(a_partial)\n", + "total = comm.reduce(sum_partial)\n", + "```" ] }, { @@ -565,10 +481,11 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "source": [ - "We'll generate an array of random number on rank 0 and distribute (scatter) it to all ranks." + "Let's put this all together:" ] }, { @@ -576,19 +493,35 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", + "%%writefile mpi_reduction.py\n", + "import numpy\n", + "from mpi4py import MPI\n", + "\n", "N = 1000\n", + "\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "\n", "a_partial = numpy.empty(N)\n", "if rank == 0:\n", " rng = numpy.random.Generator(numpy.random.MT19937())\n", " a = rng.uniform(size=N * size)\n", "else:\n", - " a = numpy.empty(1)" + " a = numpy.empty(1)\n", + "\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "\n", + "sum_partial = numpy.sum(a_partial)\n", + "total = comm.reduce(sum_partial)\n", + "if rank == 0:\n", + " print(\"The sum of the random numbers is %f. The average is %f.\" % (total, total / len(a)))" ] }, { @@ -603,17 +536,15 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, - "outputs": [], "source": [ - "%%px\n", - "comm.Scatter(a, a_partial, root = 0)" + "Let's run it on a node:" ] }, { @@ -621,16 +552,13 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", - "sum_partial = numpy.sum(a_partial)\n", - "total = comm.reduce(sum_partial)\n", - "if rank == 0:\n", - " print(\"The sum of the random numbers is %f. The average is %f.\" % (total, total / len(a)))" + "!srun -n 4 -p batch -A training2219 --time 00:10:00 python3 mpi_reduction.py" ] }, { @@ -652,40 +580,28 @@ } }, "source": [ - "`mpi4py` offers two version of many calls. The first one is written in uppercase. It uses memory buffers, e.g., `np.array`, and maps the call directly to the appropriate C call. The second version is written in lower case and takes arbitrary Python object. The result is given as the return value. Note, that for the uppercase versions all a_partial must have the same size!" + "`mpi4py` offers two version of many calls. The first one is written in uppercase. It uses memory buffers, e.g., `np.array`, and maps the call directly to the appropriate C call. The second version is written in lower case and takes arbitrary Python object. The result is given as the return value. Note, that for the uppercase versions all `a_partial` must have the same size!" ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], + "cell_type": "markdown", + "metadata": {}, "source": [ - "%%px\n", + "```python\n", + "a_partial = numpy.empty(N)\n", + "if rank == 0:\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = rng.uniform(size=N * size)\n", + "else:\n", + " a = numpy.empty(1)\n", + "\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "\n", "a_all = None\n", "if rank == 0:\n", " a_all = numpy.empty([size, len(a_partial)], dtype='f8')\n", "comm.Gather(a_partial, a_all, root=0)\n", - "if rank == 0:\n", - " print(type(a_all))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%%px\n", - "%timeit comm.Gather(a_partial, a_all, root=0) # Don't use %timeit outside IPython." + "```" ] }, { @@ -693,10 +609,11 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "source": [ - "The following works independent of the size of a_partial:" + "And the complete program:" ] }, { @@ -704,28 +621,37 @@ "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", - "a_all = comm.gather(a_partial)\n", + "%%writefile mpi_upper.py\n", + "import numpy\n", + "from mpi4py import MPI\n", + "\n", + "N = 1000\n", + "\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", + "\n", + "a_partial = numpy.empty(N)\n", "if rank == 0:\n", - " print(type(a_all))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "Now, `a_all` contains a `list` of `np.array`s.\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = rng.uniform(size=N * size)\n", + "else:\n", + " a = numpy.empty(1)\n", "\n", - "This second version is convenient, but it is **much** slower:" + "comm.Scatter(a, a_partial, root = 0)\n", + "\n", + "a_all = None\n", + "if rank == 0:\n", + " a_all = numpy.empty([size, len(a_partial)], dtype='f8')\n", + "comm.Gather(a_partial, a_all, root=0)\n", + "if rank == 0:\n", + " print(type(a_all))" ] }, { @@ -734,12 +660,12 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "%%px\n", - "%timeit a_all = comm.gather(a_partial)" + "!srun -n 4 -p batch -A training2219 --time 00:10:00 python3 mpi_upper.py" ] }, { @@ -750,23 +676,31 @@ } }, "source": [ - "It gets worse as arrays get bigger.\n", - "\n", - "To retrieve the result, we use the `view` again." + "The following works independent of the size of a_partial:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "notes" - } + "slide_type": "fragment" + }, + "tags": [] }, "source": [ - "## Remarks\n", - "While Jupyter notebooks are a nice way to teach MPI and well tested MPI routines can be quite useful within a notebook, developing MPI code within notebooks can quickly become awkward because mistakes lead to blocking engines. I find it easier to write and test my MPI routines outside Jupyter notebooks and start the program with `mpiexec`/`srun` from the command line.\n", + "```python\n", + "a_partial = numpy.empty(N)\n", + "if rank == 0:\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = [rng.uniform(size=N) for i in range(size)]\n", + "else:\n", + " a = numpy.empty(1)\n", "\n", - "For example, you could write the following program and save it to a file:" + "a_partial = comm.scatter(a) # Takes a list of length size\n", + "\n", + "a_all = comm.gather(a_partial)\n", + "\n", + "```" ] }, { @@ -775,42 +709,62 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "%%writefile helloparallelworld.py\n", + "%%writefile mpi_lower.py\n", + "import numpy\n", "from mpi4py import MPI\n", - "import numpy as np\n", "\n", - "rank = MPI.COMM_WORLD.Get_rank()\n", - "numberOfRanks = MPI.COMM_WORLD.Get_size()\n", + "N = 1000\n", + "\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()\n", "\n", - "a = np.zeros(1)\n", + "a_partial = numpy.empty(N)\n", "if rank == 0:\n", - " print(\"There are %d MPI ranks.\" % numberOfRanks)\n", - " a = np.random.random(1)\n", + " rng = numpy.random.Generator(numpy.random.MT19937())\n", + " a = [rng.uniform(size=N) for i in range(size)]\n", + "else:\n", + " a = numpy.empty(1)\n", "\n", - "print(\"I'm rank %d.\" % rank)\n", - "if numberOfRanks < 2:\n", - " print(\"Not enough MPI tasks!\")\n", - " exit(1)\n", + "a_partial = comm.scatter(a) # Takes a list of length size\n", + "\n", + "a_all = comm.gather(a_partial)\n", "if rank == 0:\n", - " MPI.COMM_WORLD.Send(a, dest=1)\n", - "elif rank == 1:\n", - " MPI.COMM_WORLD.Recv(a, source=0)\n", - " " + " print(type(a_all))\n", + " if sum([numpy.allclose(l0, l1) for l0, l1 in zip(a_all, a)]) == size:\n", + " print(\"Check passed.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -n 4 -p batch -A training2219 --time 00:10:00 python3 mpi_lower.py" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "notes" } }, "source": [ - "You can then switch to a terminal and execute it as `srun -n 2 --ntasks-per-node 2 python helloparallelworld.py`." + "Now, `a_all` contains a `list` of `np.array`s.\n", + "\n", + "This second version is convenient, but it is **much** slower:" ] }, { @@ -971,6 +925,21 @@ "[TV_Stencils]: ThinkVector.ipynb#Stencils" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import numpy\n", + "from matplotlib import pyplot as plt" + ] + }, { "cell_type": "code", "execution_count": null, @@ -1442,21 +1411,6 @@ "## Speedup using Amdahl's law" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy\n", - "import matplotlib.pyplot as plt" - ] - }, { "cell_type": "markdown", "metadata": { @@ -1499,9 +1453,7 @@ "cell_type": "code", "execution_count": null, "metadata": { - "slideshow": { - "slide_type": "-" - } + "tags": [] }, "outputs": [], "source": [ @@ -1534,6 +1486,122 @@ " plt.legend(); plt.ylim([0, 100]);plt.xlabel('n'); plt.ylabel('s')" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "## IPyParallel and MPI" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "### Starting the engines" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "**Note, this is only needed to run MPI programs from a Jupyter notebook.**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "We can use ipyparallel to run MPI from a notebook. To do that, we need to start some IPython engines. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Click on the ``+``-sign at the top of the Files tab on the left to start a new launcher. In the launcher click on Terminal. A terminal will open as a new tab. Grab the tab and pull it to the right to have the terminal next to your notebook.\n", + "\n", + "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2219/hpcpy22`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Next start the ipcontroller. This is a bit tricky since the controller will run on the login node, but the engines will run on a compute node. We need to tell the engines the IP address of controller is listening. We want to use the ip address of the Infiniband interface on the login node: `ipcontroller --ip=$(ip -4 a show ib0 | grep -oP '(?<=inet\\s)\\d+(\\.\\d+){3}') &`. \n", + "\n", + "After that we can launch 4 MPI tasks with 32 threads each like this\n", + "\n", + "```bash\n", + "export OMP_NUM_THREADS=32\n", + "srun -n 4 -c 32 --ntasks-per-node 4 --time 00:30:00 -A training2219 ipengine start\n", + "```\n", + "\n", + "**Note**, you can can start the controller and the engines in separate terminals. That will keep the output separate." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "### Connecting to the engines" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "Next, we want to connect to the engines:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "from ipyparallel import Client\n", + "rc = Client()" + ] + }, { "cell_type": "code", "execution_count": null, @@ -1543,17 +1611,122 @@ } }, "outputs": [], - "source": [] + "source": [ + "rc.ids" + ] }, { "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "Next, we need to create a view and activate it." + ] + }, + { + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" } }, + "outputs": [], "source": [ - "## IPyParallel and MPI" + "view = rc[:]\n", + "view.activate()\n", + "view.block = True" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "### Setting up for MPI" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "We are now ready to use MPI with our IPython notebook.\n", + "\n", + "We will use the cell magic ``%%px`` and the line magic ``%px`` to execute commands on all the engines. So, whenenver you see ``%%px`` the cell is executed on *all* the engines, but not in the process that controls your notebook!\n", + "\n", + "**Note**: Everything that appears *after* ``%%px`` and ``%px`` would be part of a regular mpi4py program." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%px from mpi4py import MPI # Import and initialize MPI on the engines\n", + "#from mpi4py import MPI # Import and initialize MPI in the notebook " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%px import numpy" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%px\n", + "comm = MPI.COMM_WORLD\n", + "rank = comm.Get_rank()\n", + "size = comm.Get_size()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%px\n", + "print(\"I'm %d of %d. Resistance is futile.\" % (rank + 1, size))" ] }, { @@ -1761,20 +1934,13 @@ "source": [ "sum(sum_partial)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1786,7 +1952,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/16_Introduction to CuPy.ipynb b/solutions/13_Introduction to CuPy.ipynb similarity index 50% rename from solutions/16_Introduction to CuPy.ipynb rename to solutions/13_Introduction to CuPy.ipynb index aa9e26e..f28ade4 100644 --- a/solutions/16_Introduction to CuPy.ipynb +++ b/solutions/13_Introduction to CuPy.ipynb @@ -10,7 +10,7 @@ "source": [ "# Introduction to CuPy\n", "<div class=\"dateauthor\">\n", - "10 June 2021 | Jan H. Meinke\n", + "23 June 2022 | Jan H. Meinke\n", "</div>\n", "<img src=\"images/cupy.png\" style=\"float:right\">" ] @@ -26,7 +26,8 @@ "outputs": [], "source": [ "%matplotlib inline\n", - "import matplotlib.pyplot as plt" + "import matplotlib.pyplot as plt\n", + "import matplotlib" ] }, { @@ -62,21 +63,41 @@ "[NumPy]: https://numpy.org/" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "```python\n", + "import cupy import numpy\n", + "N = 2048 N = 2048\n", + "A = cupy.random.random((N, N)) A = numpy.random.random((N, N))\n", + "B = cupy.random.random((N, N)) B = numpy.random.random((N, N))\n", + "C = A @ B C = A @ B\n", + "```" + ] + }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { - "slide_type": "fragment" - } + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], "source": [ + "%%writefile cupy_matrix_mul.py\n", "import cupy\n", "N = 2048\n", "A = cupy.random.random((N, N))\n", "B = cupy.random.random((N, N))\n", - "C = A@B" + "C = A @ B" ] }, { @@ -90,6 +111,112 @@ "This cell creates two random arrays of size N by N on the GPU and performs a matrix multiplication using Nvidia's optimized linar algebra library cuBLAS." ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "Since our login nodes don't have GPUs, we need to send the program to a GPU node. This is done using the following call to `srun`:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cupy_matrix_mul.py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "`srun` is part of SLURM. SLURM is a scheduling system that manages resources and distributes jobs on a cluster. If you are running these notebooks directly on a computer with a [CuPy](https://cupy.dev) capable GPU, you can comment out the writefile magic and the calls to `srun`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Despite the 'Cu' in its name, [CuPy](https://cupy.dev) is also available for AMD's ROCm. It [covers about 2/3 of the NumPy API](https://docs.cupy.dev/en/stable/reference/comparison.html#numpy-cupy-apis) and also a [number of functions from SciPy](https://docs.cupy.dev/en/stable/reference/comparison.html#scipy-cupy-apis). Please follow the links for details." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Let's see how fast [CuPy](https://cupy.dev) is. This is trickier than it may seem. Calls to GPU functions are asynchronous with respect to the CPU program. The call to the GPU returns immediately and we can do work on the CPU in parallel to the work on the GPU. This is not a problem in normal code. As soon as we access data on the CPU, the CPU will wait until all calls to the GPU have finished. But if we want to measure the time it takes to run a kernel, we need to force our program to wait until the work on the GPU is done. This can be done, for example, using `cupy.cuda.runtime.deviceSynchronize()`:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%writefile cupy_matrix_mul_w_timing.py\n", + "import cupy\n", + "import time\n", + "N = 16384\n", + "repeats = 7\n", + "A = cupy.random.random((N, N))\n", + "B = cupy.random.random((N, N))\n", + "C = A @ B\n", + "cupy.cuda.runtime.deviceSynchronize()\n", + "\n", + "t0 = time.time()\n", + "for r in range(repeats):\n", + " C = A @ B\n", + " cupy.cuda.runtime.deviceSynchronize()\n", + "t1 = time.time()\n", + "t = (t1 - t0) / repeats\n", + "print(f\"Achieved {2e-12 * N ** 3 / t:.3f} TFLOP/s for matrix multiplication of a {N} by {N} matrix.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cupy_matrix_mul_w_timing.py" + ] + }, { "cell_type": "markdown", "metadata": { @@ -109,6 +236,13 @@ "[TV_Mandelbrot]: ThinkVector.ipynb#Programming-exercise-Mandelbrot" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, @@ -118,7 +252,33 @@ } }, "outputs": [], - "source": [] + "source": [ + "%%writefile cupy_mandelbrot_exercise.py\n", + "import cupy\n", + "import matplotlib.pyplot as plt\n", + "\n", + "Your code goes here.\n", + "\n", + "plt.imshow(M.get()) # This line assumes that you stored your Mandelbrot set in M.\n", + "plt.savefig(\"cupy_mandelbrot_exercise.png\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A slbio python cupy_mandelbrot_exercise.py\n", + "image = matplotlib.image.imread(\"cupy_mandelbrot_exercise.png\")\n", + "plt.imshow(image)\n", + "plt.axis('off')" + ] }, { "cell_type": "code", @@ -133,9 +293,12 @@ }, "outputs": [], "source": [ + "%%writefile cupy_mandelbrot_exercise.py\n", + "import cupy\n", + "import matplotlib.pyplot as plt\n", "# Let's take the same ranges for real and imaginary numbers as above\n", - "re = cupy.linspace(-2.2, 1, 640)\n", - "im = cupy.linspace(-1.2, 1.2, 480)\n", + "re = cupy.linspace(-2.2, 1, 2560)\n", + "im = cupy.linspace(-1.2, 1.2, 1920)\n", "# X and Y will have a shape of (640, 480) with the values taken from re and im.\n", "X, Y = cupy.meshgrid(re, im)\n", "\n", @@ -153,7 +316,8 @@ " P[mask] = 0\n", " Z[mask] = 0\n", "\n", - "plt.imshow(M.get())" + "plt.imshow(M.get()) # This line assumes that you stored your Mandelbrot set in M.\n", + "plt.savefig(\"cupy_mandelbrot_exercise.png\")" ] }, { @@ -218,15 +382,131 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "source": [ "### Exercise\n", - "a) Time the execution of C=A@B for different matrix sizes, e.g., 256, 512, 1024, 2048, 4096. Calculate the performance in GFLOP/s using gflops = 2e-9 * N ** 3 / t and store the sizes and the times in an ndarray.\n", + "a) Time the execution of C=A@B for different matrix sizes, e.g., 256, 512, 1024, 2048, 4096. Calculate the performance in GFLOP/s using gflops = 2e-9 * N ** 3 / t and store the sizes and the times in an ndarray." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%writefile cupy_matrix_mul_w_timing2.py\n", + "import cupy\n", + "import time\n", + "sizes = [256, 512, 1024, 2048, 4096, 8192]\n", + "repeats = 7\n", "\n", + "for N in sizes:\n", + " A = cupy.random.random((N, N)).astype(cupy.float32)\n", + " B = cupy.random.random((N, N)).astype(cupy.float32)\n", + " C = A @ B\n", + " cupy.cuda.runtime.deviceSynchronize()\n", + "\n", + " t0 = time.time()\n", + " for r in range(repeats):\n", + " C = A @ B\n", + " cupy.cuda.runtime.deviceSynchronize()\n", + " t1 = time.time()\n", + " t = (t1 - t0) / repeats\n", + " print(f\"Achieved {2e-12 * N ** 3 / t:.3f} TFLOP/s for matrix multiplication of a {N} by {N} matrix.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cupy_matrix_mul_w_timing2.py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ "b) Do the same using numpy. How do the numbers compare." ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%writefile numpy_matrix_mul_w_timing2.py\n", + "import numpy\n", + "import time\n", + "import threadpoolctl\n", + "sizes = [256, 512, 1024, 2048, 4096, 8192]\n", + "repeats = 7\n", + "\n", + "for N in sizes:\n", + " A = numpy.random.random((N, N)).astype(numpy.float32)\n", + " B = numpy.random.random((N, N)).astype(numpy.float32)\n", + " #C = A @ B\n", + "\n", + " for nt in [16, 32, 64, 128, 256]:\n", + " t0 = time.time()\n", + " with threadpoolctl.threadpool_limits(limits=nt, user_api='blas'):\n", + " for r in range(repeats):\n", + " C = A @ B\n", + " t1 = time.time()\n", + " t = (t1 - t0) / repeats\n", + " print(f\"Achieved {2e-12 * N ** 3 / t:.3f} TFLOP/s for matrix multiplication of a {N} by {N} matrix with {nt} threads.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p batch -n 1 -c 256 -A training2219 python numpy_matrix_mul_w_timing2.py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "c) Try the above benchmarks with smaller data types, for example, `float32` or `float16`." + ] + }, { "cell_type": "markdown", "metadata": { @@ -246,30 +526,31 @@ } }, "source": [ - "CuPy arrays live on the GPU. To retrieve them you can use" + "CuPy arrays live on the GPU." ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ + "```python\n", "A = cupy.random.random((N, N))\n", - "A1_np = A.get()" + "```" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ - "A2_np = cupy.asnumpy(A)" + "To retrieve them you can use\n", + "```python\n", + "A1_np = A.get() # Only for GPU arrays\n", + "A2_np = cupy.asnumpy(A) # Works for NumPy arrays, too.\n", + "```" ] }, { @@ -284,18 +565,17 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ - "import numpy\n", + "```python\n", "x = numpy.linspace(0, 1, 10)\n", - "x_gpu = cupy.asarray(x) # Copy x to the GPU" + "x_gpu = cupy.asarray(x) # Copy x to the GPU\n", + "```" ] }, { @@ -318,7 +598,7 @@ }, "source": [ "### Exercise\n", - "Create a 2D array of random number on the GPU. Transfer it to the CPU. Subtract 0.5 from all elements. Copy the result back to the GPU. Clculate the average value of all elements on the GPU and write the result to the screen." + "Create a 2D array of random number on the GPU. Transfer it to the CPU. Subtract 0.5 from all elements. Copy the result back to the GPU. Calculate the average value of all elements on the GPU and write the result to the screen." ] }, { @@ -330,7 +610,10 @@ } }, "outputs": [], - "source": [] + "source": [ + "%%writefile cupy_to_and_fro.py\n", + "Your code goes here" + ] }, { "cell_type": "code", @@ -345,7 +628,10 @@ }, "outputs": [], "source": [ + "%%writefile cupy_to_and_fro.py\n", "# Solution\n", + "import cupy\n", + "\n", "N = 1000\n", "A = cupy.random.random((N, N))\n", "A_np = A.get()\n", @@ -354,12 +640,27 @@ "print(f\"The average value of the elements is {A.mean()}\") # Should be near 0." ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cupy_to_and_fro.py" + ] + }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" - } + }, + "tags": [] }, "source": [ "## Picking a Device" @@ -373,21 +674,21 @@ } }, "source": [ - "CuPy always works on the *current device*. On multi-GPU nodes this can be changed using" + "CuPy always works on the *current device*. On multi-GPU nodes, for example, on JURECA or JUWELS, this can be changed using" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ + "```python\n", "cupy.cuda.Device(1).use()\n", - "A_on_gpu1 = cupy.random.random((N, N))" + "A_on_gpu1 = cupy.random.random((N, N))\n", + "```" ] }, { @@ -402,17 +703,17 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ + "```python\n", "with cupy.cuda.Device(2):\n", - " A_on_gpu2 = cupy.random.random((N, N))" + " A_on_gpu2 = cupy.random.random((N, N))\n", + "```" ] }, { @@ -427,22 +728,20 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, - "outputs": [], "source": [] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -454,7 +753,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.10.5" } }, "nbformat": 4, diff --git a/17_CUDA for Python.ipynb b/solutions/14_CUDA for Python.ipynb similarity index 55% rename from 17_CUDA for Python.ipynb rename to solutions/14_CUDA for Python.ipynb index 54d8689..3d2e564 100644 --- a/17_CUDA for Python.ipynb +++ b/solutions/14_CUDA for Python.ipynb @@ -11,28 +11,10 @@ "# Numba and GPUs\n", "\n", "<div class=\"dateauthor\">\n", - "11 June 2021 | Jan H. Meinke\n", + "23 June 2022 | Jan H. Meinke\n", "</div>" ] }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "Numba supports Nvidia and AMD GPUs. In this course, however, we are going to focus on CUDA capable GPUs from Nvidia. \n", - "\n", - "Hint: If you are working with an older version of Numba and want to use an already installed CUDA SDK, there are two environment variables that might have to be set to let numba know where it can find the libraries it needs. On JUWELS this it *not* necessary.\n", - "\n", - "```bash\n", - "export NUMBA_NVVM=$CUDA_HOME/nvvm/lib64/libnvvm.so\n", - "export NUMBA_LIBDEVICE=$CUDA_HOME/nvvm/libdevice/\n", - "```" - ] - }, { "cell_type": "code", "execution_count": null, @@ -44,11 +26,12 @@ "outputs": [], "source": [ "# Let's ignore some deprecation warnings\n", - "from numba.core.errors import NumbaDeprecationWarning, NumbaPendingDeprecationWarning\n", + "from numba.core.errors import NumbaDeprecationWarning, NumbaPendingDeprecationWarning, NumbaPerformanceWarning\n", "import warnings\n", "\n", "warnings.simplefilter('ignore', category=NumbaDeprecationWarning)\n", - "warnings.simplefilter('ignore', category=NumbaPendingDeprecationWarning)" + "warnings.simplefilter('ignore', category=NumbaPendingDeprecationWarning)\n", + "warnings.simplefilter('ignore', category=NumbaPerformanceWarning)" ] }, { @@ -161,7 +144,86 @@ }, "outputs": [], "source": [ - "# Your code goes here" + "%%writefile mandelbrot_vectorize_cuda.ipy\n", + "from numba import vectorize\n", + "\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "if __name__ == \"__main__:\n", + " import numpy\n", + " x = numpy.linspace(-2, 2, 500)\n", + " y = numpy.linspace(-1.5, 1.5, 375)\n", + " zr, zc = numpy.meshgrid(x, 1j * y)\n", + " \n", + "# TODO\n", + "escape_time_g = Your code goes here\n", + "\n", + "t = %timeit -o escape_time_g(zr + zc, 500)\n", + "print(t.all_runs)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "Solution" + ] + }, + "outputs": [], + "source": [ + "%%writefile mandelbrot_vectorize_cuda.ipy\n", + "from numba import vectorize\n", + "\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "import numpy\n", + "x = numpy.linspace(-2, 2, 500)\n", + "y = numpy.linspace(-1.5, 1.5, 375)\n", + "zr, zc = numpy.meshgrid(x, 1j * y)\n", + "\n", + "escape_time_g = vectorize(\"int64(complex128, int64)\", \n", + " target=\"cuda\")(escape_time)\n", + "\n", + "t = %timeit -o escape_time_g(zr + zc, 500)\n", + "print(t.all_runs)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "res = !srun -p gpus -A training2219 ipython mandelbrot_vectorize_cuda.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean():.3f}±{t_gpu.std():.3f} s.\")" ] }, { @@ -183,7 +245,7 @@ } }, "source": [ - "Numba allows you to write CUDA programs in Python. \n", + "When `vectorize` is not enough, you can write CUDA programs in Python using Numba as well.\n", "\n", "While a complete introduction to CUDA is beyond the scope of this course---there are other courses for this, for example, GPU Programming with CUDA @ JSC and also many online resources available---here you'll get the nutshell version and some of the differences between CUDA C++ and CUDA Python." ] @@ -224,9 +286,7 @@ { "cell_type": "markdown", "metadata": { - "slideshow": { - "slide_type": "-" - } + "tags": [] }, "source": [ "CPUs are optimized for latency." @@ -268,9 +328,7 @@ { "cell_type": "markdown", "metadata": { - "slideshow": { - "slide_type": "-" - } + "tags": [] }, "source": [ "" @@ -542,9 +600,7 @@ { "cell_type": "markdown", "metadata": { - "slideshow": { - "slide_type": "-" - } + "tags": [] }, "source": [ "``` python\n", @@ -579,21 +635,20 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ + "```python\n", "from numba import cuda\n", "\n", "escape_time_gpu = cuda.jit(device=True)(escape_time)\n", "\n", "@cuda.jit\n", - "def mandelbrot_gpu(M, real_min, real_max, imag_min, imag_max):\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max):\n", " \"\"\"Calculate the Mandelbrot set on the GPU.\n", " \n", " Parameters\n", @@ -613,7 +668,8 @@ " dx = (real_max - real_min) / nx\n", " dy = (imag_max - imag_min) / ny\n", " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", - " M[j, i] = escape_time_gpu(p, 20)" + " M[j, i] = escape_time_gpu(p, 20)\n", + "```" ] }, { @@ -646,24 +702,22 @@ } }, "source": [ - "CUDA needs to know how many blocks and how many threads per block you want to launch. This is called the *launch configuration*. To calculate the Mandelbrot set with of two 1024 by 1024 points with a block size of 32 by 32, we need 1024/32=32 by 1024/32=32 blocks.\n", - "\n", - "If we want to calculate the set for 1032 by 1032 points, we have to add an extra block. The following lines take care of that:" + "CUDA needs to know how many blocks and how many threads per block you want to launch. This is called the *launch configuration*. To calculate the Mandelbrot set with of 1024 by 1024 points with a block size of 32 by 32, we need 1024/32=32 by 1024/32=32 blocks." ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ + "```python\n", "M = numpy.zeros((1024, 1024), dtype=numpy.int32)\n", "block = (32, 32)\n", - "grid = (M.shape[0] // block[0], M.shape[1] // block[1])" + "grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", + "```" ] }, { @@ -678,29 +732,27 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ - "%timeit mandelbrot_gpu[grid, block](M, -2.2, 1.2, -1.6, 1.6)" + "```\n", + "mandelbrot_gpu[grid, block](M, -2.2, 1.2, -1.6, 1.6)\n", + "```" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, - "outputs": [], "source": [ - "plt.imshow(M, interpolation=\"nearest\")" + "If the dimension of your system is not a *multiple of your block size*, you need to add an extra block. The following code snippet takes care of this. (There are other ways to do this, too.)" ] }, { @@ -711,7 +763,36 @@ } }, "source": [ - "If the dimension of your system is not a *multiple of your block size*, you need to add an extra block. The following code snippet takes care of this. (There are other ways to do this, too.)" + "```python\n", + "M = numpy.zeros((1000, 1000), dtype=numpy.int32)\n", + "block = (32, 32)\n", + "grid = (M.shape[0] // block[0] if M.shape[0] % block[0] == 0 \n", + " else M.shape[0] // block[0] + 1,\n", + " M.shape[1] // block[1] if M.shape[1] % block[1] == 0 \n", + " else M.shape[1] // block[1] + 1)\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "## Exercise: Profile the Mandelbrot calculation on the GPU" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "a) Use %timeit to measure the speed of the GPU implementation and compare it to the vectorized version." ] }, { @@ -720,16 +801,64 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "M = numpy.zeros((1000, 1000), dtype=numpy.int32)\n", - "block = (32, 32)\n", - "grid = (M.shape[0] // block[0] if M.shape[0] % block[0] == 0 \n", - " else M.shape[0] // block[0] + 1,\n", - " M.shape[1] // block[1] if M.shape[1] % block[1] == 0 \n", - " else M.shape[1] // block[1] + 1)" + "%%writefile cuda_mandelbrot1.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max):\n", + " \"\"\"Calculate the Mandelbrot set on the GPU.\n", + " \n", + " Parameters\n", + " ----------\n", + " M : numpy.ndarray\n", + " a two-dimensional integer array that will contain the \n", + " escape times for each point.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " dx, dy: float\n", + " step size along the real and imaginary axes.\n", + " \"\"\"\n", + " ny, nx = M.shape\n", + " i, j = cuda.grid(2)\n", + " \n", + " if i < nx and j < ny:\n", + " dx = (real_max - real_min) / M.shape[1]\n", + " dy = (imag_max - imag_min) / M.shape[0]\n", + " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", + " M[j, i] = escape_time(p, 20)\n", + " \n", + "if __name__ == \"__main__\":\n", + " M = numpy.zeros((1024, 1024), dtype=numpy.int32)\n", + " block = (32, 32)\n", + " grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", + " real_min, real_max = (-2.2, 1.2)\n", + " imag_min, imag_max = (-1.6, 1.6)\n", + "\n", + " #TODO\n", + " t = %timeit -o Your code goes here\n", + " print(t.all_runs)" ] }, { @@ -738,11 +867,63 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [ + "Solution" + ] }, "outputs": [], "source": [ - "%timeit mandelbrot_gpu[grid, block](M, -2.2, 1.2, -1.6, 1.6)" + "%%writefile cuda_mandelbrot1.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max):\n", + " \"\"\"Calculate the Mandelbrot set on the GPU.\n", + " \n", + " Parameters\n", + " ----------\n", + " M : numpy.ndarray\n", + " a two-dimensional integer array that will contain the \n", + " escape times for each point.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " \"\"\"\n", + " ny, nx = M.shape\n", + " i, j = cuda.grid(2)\n", + " \n", + " if i < nx and j < ny:\n", + " dx = (real_max - real_min) / M.shape[1]\n", + " dy = (imag_max - imag_min) / M.shape[0]\n", + " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", + " M[j, i] = escape_time(p, 20)\n", + " \n", + "if __name__ == \"__main__\":\n", + " M = numpy.zeros((1024, 1024), dtype=numpy.int32)\n", + " block = (32, 32)\n", + " grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", + " real_min, real_max = (-2.2, 1.2)\n", + " imag_min, imag_max = (-1.6, 1.6)\n", + "\n", + " t = %timeit -o mandelbrot[grid, block](M, -2.2, 1.2, -1.6, 1.6)\n", + " print(t.all_runs)" ] }, { @@ -751,11 +932,14 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], "source": [ - "plt.imshow(M, interpolation=\"nearest\")" + "res = !srun -p gpus -A training2219 ipython cuda_mandelbrot1.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean() * 1000:.3f}±{t_gpu.std() * 1000:.3f} ms.\")" ] }, { @@ -766,18 +950,54 @@ } }, "source": [ - "## Exercise: Profile the Mandelbrot calculation on the GPU" + "b) The kernel calculates dx and dy for every pixel although it is the same for all of them. Change the kernel so that it takes dx and dy as arguments and calculate dx and dy before you call the kernel. Does this improve the performance?" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" } }, + "outputs": [], "source": [ - "a) Use %timeit to measure the speed of the GPU implementation and compare it to the vectorized version." + "%%writefile cuda_mandelbrot2.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max, dx, dy):\n", + " \"\"\"Calculate the Mandelbrot set on the GPU.\n", + " \n", + " Parameters\n", + " ----------\n", + " M : numpy.ndarray\n", + " a two-dimensional integer array that will contain the \n", + " escape times for each point.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " dx, dy: float\n", + " step size along the real and imaginary axes.\n", + " \"\"\"\n", + " Your code goes here" ] }, { @@ -786,10 +1006,82 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [ + "Solution" + ] + }, + "outputs": [], + "source": [ + "%%writefile cuda_mandelbrot2.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max, dx, dy):\n", + " \"\"\"Calculate the Mandelbrot set on the GPU.\n", + " \n", + " Parameters\n", + " ----------\n", + " M : numpy.ndarray\n", + " a two-dimensional integer array that will contain the \n", + " escape times for each point.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " dx, dy: float\n", + " step size along the real and imaginary axes.\n", + " \"\"\"\n", + " ny, nx = M.shape\n", + " i, j = cuda.grid(2)\n", + " \n", + " if i < nx and j < ny:\n", + " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", + " M[j, i] = escape_time(p, 20)\n", + " \n", + "if __name__ == \"__main__\":\n", + " M = numpy.zeros((1024, 1024), dtype=numpy.int32)\n", + " block = (32, 32)\n", + " grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", + " real_min, real_max = (-2.2, 1.2)\n", + " imag_min, imag_max = (-1.6, 1.6)\n", + " dx = (real_max - real_min) / M.shape[1]\n", + " dy = (imag_max - imag_min) / M.shape[0]\n", + "\n", + " t = %timeit -o mandelbrot[grid, block](M, -2.2, 1.2, -1.6, 1.6, dx, dy)\n", + " print(t.all_runs)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] }, "outputs": [], - "source": [] + "source": [ + "res = !srun -p gpus -A training2219 ipython cuda_mandelbrot2.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean() * 1000:.3f}±{t_gpu.std() * 1000:.3f} ms.\")" + ] }, { "cell_type": "markdown", @@ -799,7 +1091,7 @@ } }, "source": [ - "b) The kernel calculates dx and dy for every pixel although it is the same for all of them. Change the kernel so that it takes dx and dy as arguments and calculate dx and dy before you call the kernel. Does this improve the performance?" + "c) Add an additional argument `maxtime` to the kernel, so that you can time the kernel for different escape time values. Don't forget to add the new argument to the documentation." ] }, { @@ -811,17 +1103,97 @@ } }, "outputs": [], - "source": [] + "source": [ + "%%writefile cuda_mandelbrot3.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot Your code goes here" + ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": null, "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [ + "Solution" + ] }, + "outputs": [], "source": [ - "c) Add an additional argument escape_time to the kernel, so that you can time the kernel for different escape time values. Don't forget to add the new argument to the documentation." + "%%writefile cuda_mandelbrot3.ipy\n", + "import numpy\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max, dx, dy, maxtime=20):\n", + " \"\"\"Calculate the Mandelbrot set on the GPU.\n", + " \n", + " Parameters\n", + " ----------\n", + " M : numpy.ndarray\n", + " a two-dimensional integer array that will contain the \n", + " escape times for each point.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " dx, dy: float\n", + " step size along the real and imaginary axes.\n", + " maxtime: int\n", + " maximum number of iterations before the point is considered part of\n", + " the Mandelbrot set.\n", + " \"\"\"\n", + " ny, nx = M.shape\n", + " i, j = cuda.grid(2)\n", + " \n", + " if i < nx and j < ny:\n", + " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", + " M[j, i] = escape_time(p, maxtime)\n", + " \n", + "if __name__ == \"__main__\":\n", + " M = numpy.zeros((2048, 2048), dtype=numpy.int32)\n", + " block = (32, 32)\n", + " grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", + " real_min, real_max = (-2.2, 1.2)\n", + " imag_min, imag_max = (-1.6, 1.6)\n", + " dx = (real_max - real_min) / M.shape[1]\n", + " dy = (imag_max - imag_min) / M.shape[0]\n", + " maxtime = 100\n", + " t = %timeit -o mandelbrot[grid, block](M, -2.2, 1.2, -1.6, 1.6, dx, dy, maxtime)\n", + " print(t.all_runs)" ] }, { @@ -830,10 +1202,15 @@ "metadata": { "slideshow": { "slide_type": "skip" - } + }, + "tags": [] }, "outputs": [], - "source": [] + "source": [ + "res = !srun -p gpus -A training2219 ipython cuda_mandelbrot3.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean() * 1000:.3f}±{t_gpu.std() * 1000:.3f} ms.\")" + ] }, { "cell_type": "markdown", @@ -946,7 +1323,160 @@ } }, "outputs": [], - "source": [] + "source": [ + "%%writefile cuda_mandelbrot4.ipy\n", + "import numpy\n", + "import warnings\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max, dx, dy, maxtime=20):\n", + " \"\"\"Calculate the Mandelbrot set on the GPU.\n", + " \n", + " Parameters\n", + " ----------\n", + " M : numpy.ndarray\n", + " a two-dimensional integer array that will contain the \n", + " escape times for each point.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " dx, dy: float\n", + " step size along the real and imaginary axes.\n", + " maxtime: int\n", + " maximum number of iterations before the point is considered part of\n", + " the Mandelbrot set.\n", + " \"\"\"\n", + " ny, nx = M.shape\n", + " i, j = cuda.grid(2)\n", + " \n", + " if i < nx and j < ny:\n", + " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", + " M[j, i] = escape_time(p, maxtime)\n", + " \n", + "if __name__ == \"__main__\":\n", + " # TODO\n", + " M = Your code goes here\n", + " \n", + " t = %timeit -o mandelbrot[grid, block](M, -2.2, 1.2, -1.6, 1.6, dx, dy, maxtime)\n", + " print(t.all_runs)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "Solution" + ] + }, + "outputs": [], + "source": [ + "%%writefile cuda_mandelbrot4.ipy\n", + "import numpy\n", + "import warnings\n", + "\n", + "from numba import cuda\n", + "\n", + "@cuda.jit(device=True)\n", + "def escape_time(p, maxtime):\n", + " \"\"\"Perform the Mandelbrot iteration until it's clear that p diverges\n", + " or the maximum number of iterations has been reached.\n", + " \"\"\"\n", + " z = 0j\n", + " for i in range(maxtime):\n", + " z = z ** 2 + p\n", + " if abs(z) > 2:\n", + " return i\n", + " return maxtime\n", + "\n", + "\n", + "@cuda.jit\n", + "def mandelbrot(M, real_min, real_max, imag_min, imag_max, dx, dy, maxtime=20):\n", + " \"\"\"Calculate the Mandelbrot set on the GPU.\n", + " \n", + " Parameters\n", + " ----------\n", + " M : numpy.ndarray\n", + " a two-dimensional integer array that will contain the \n", + " escape times for each point.\n", + " real_min: float\n", + " minimum value on the real axis\n", + " imag_min: float\n", + " minimum value on the imaginary axis\n", + " dx, dy: float\n", + " step size along the real and imaginary axes.\n", + " maxtime: int\n", + " maximum number of iterations before the point is considered part of\n", + " the Mandelbrot set.\n", + " \"\"\"\n", + " ny, nx = M.shape\n", + " i, j = cuda.grid(2)\n", + " \n", + " if i < nx and j < ny:\n", + " p = real_min + dx * i + (imag_min + dy * j) * 1j\n", + " M[j, i] = escape_time(p, maxtime)\n", + " \n", + "if __name__ == \"__main__\":\n", + " M = cuda.device_array((2048, 2048), dtype=numpy.int32)\n", + " block = (32, 32)\n", + " grid = (M.shape[0] // block[0], M.shape[1] // block[1])\n", + " real_min, real_max = (-2.2, 1.2)\n", + " imag_min, imag_max = (-1.6, 1.6)\n", + " dx = (real_max - real_min) / M.shape[1]\n", + " dy = (imag_max - imag_min) / M.shape[0]\n", + " maxtime = 100\n", + " t = %timeit -o mandelbrot[grid, block](M, -2.2, 1.2, -1.6, 1.6, dx, dy, maxtime)\n", + " print(t.all_runs)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "res = !srun -p gpus -A training2219 ipython cuda_mandelbrot4.ipy\n", + "t_gpu = numpy.array(eval(res[-1]))\n", + "print(f\"Runtime: {t_gpu.mean() * 1000:.3f}±{t_gpu.std() * 1000:.3f} ms.\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "Solution" + ] + }, + "source": [ + "This is much faster! Most of the time of running the Mandelbrot program on the GPU is actually spent transferring data." + ] }, { "cell_type": "markdown", @@ -967,7 +1497,7 @@ } }, "source": [ - "Write a kernel, where each thread calculates one element of the result matrix $C=AB$, where A and B are matrices.\n", + "Write a kernel, where each thread calculates one element of the result matrix $C=AB$, where A and B are matrices. Compare the result from the CPU and the GPU using `numpy.allclose` and write an appropriate message at the end. \n", "\n", "For the algorithm, you can take a look at Bottlenecks." ] @@ -981,7 +1511,78 @@ } }, "outputs": [], - "source": [] + "source": [ + "%%writefile cuda_matrixmul.py\n", + "import numpy\n", + "import warnings\n", + "from numba import cuda\n", + "from numba.core.errors import NumbaPerformanceWarning\n", + "\n", + "# TODO\n", + "Your code goes here\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "Solution" + ] + }, + "outputs": [], + "source": [ + "%%writefile cuda_matrixmul.py\n", + "import numpy\n", + "import warnings\n", + "from numba import cuda\n", + "from numba.core.errors import NumbaPerformanceWarning\n", + "\n", + "@cuda.jit\n", + "def mm(A, B, C):\n", + " \"\"\"Take two matrices A and B, calculate the matrix product and store it in C.\"\"\"\n", + " i, j = cuda.grid(2)\n", + " if i < A.shape[0] and j < B.shape[1]:\n", + " tmp = 0\n", + " for k in range(A.shape[1]):\n", + " tmp += A[i, k] * B[k, j]\n", + " C[i, j] = tmp\n", + "\n", + " \n", + "if __name__ == \"__main__\":\n", + " # Supress the performance warning generated because we are passing a host array to the kernel.\n", + " warnings.simplefilter('ignore', category=NumbaPerformanceWarning) \n", + " \n", + " A = numpy.random.random((1024, 512))\n", + " B = numpy.random.random((512, 256))\n", + " C_np = A@B\n", + "\n", + " block = (32, 32)\n", + " grid = (1024 // 32, 256 // 32)\n", + " C = cuda.device_array((1024, 256))\n", + " mm[grid, block](A, B, C)\n", + "\n", + " C_host = C.copy_to_host()\n", + "\n", + " print(f\"Check {'' if numpy.allclose(C_np, C_host) else 'not '}passed!\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -A training2219 python cuda_matrixmul.py" + ] }, { "cell_type": "markdown", @@ -1043,31 +1644,19 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "skip" + "slide_type": "fragment" } }, - "outputs": [], "source": [ + "```python\n", "from numba import cuda, float32\n", "# Controls threads per block and shared memory usage.\n", "# The computation will be done on blocks of TPBxTPB elements.\n", - "TPB = 16" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ + "TPB = 16\n", + "\n", "@cuda.jit\n", "def fast_matmul(A, B, C):\n", " # Define an array in the shared memory\n", @@ -1102,7 +1691,8 @@ " # Wait until all threads finish computing\n", " cuda.syncthreads()\n", "\n", - " C[x, y] = tmp" + " C[x, y] = tmp\n", + "```" ] }, { @@ -1162,9 +1752,9 @@ ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -1176,7 +1766,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/18_CUDA and MPI.ipynb b/solutions/15_CUDA and MPI.ipynb similarity index 74% rename from solutions/18_CUDA and MPI.ipynb rename to solutions/15_CUDA and MPI.ipynb index 1fcb061..c8fde4a 100644 --- a/solutions/18_CUDA and MPI.ipynb +++ b/solutions/15_CUDA and MPI.ipynb @@ -11,108 +11,10 @@ "# CUDA for Python and MPI4Py\n", "\n", "<div class=\"dateauthor\">\n", - "11 June 2021 | Jan H. Meinke\n", + "23 June 2022 | Jan H. Meinke\n", "</div>" ] }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "To use MPI in a notebook, we have to use the ipengines again:" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "## Starting the engines" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "We can combine ipyparalle and MPI. To do that, we need to start some IPython engines. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "Click on the ``+``-sign at the top of the Files tab on the left to start a new launcher. In the launcher click on Terminal. A terminal will open as a new tab. Grab the tab and pull it to the right to have the terminal next to your notebook.\n", - "\n", - "**Note**: The terminal does not have the same modules loaded as the notebook. To fix that type `source $PROJECT_training2114/hpcpy21`." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "Next start the ipcontroller: `ipcontroller &`. After that we can launch 4 MPI tasks with 6 threads each like this\n", - "\n", - "```bash\n", - "export OMP_NUM_THREADS=10\n", - "srun -n 4 -c 10 ipengine start\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "from ipyparallel import Client\n", - "rc = Client()\n", - "view = rc[:]\n", - "view.activate()\n", - "view.block = True" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "outputs": [], - "source": [ - "%%px\n", - "# Let's ignore some deprecation warnings\n", - "from numba.core.errors import NumbaDeprecationWarning, NumbaPendingDeprecationWarning\n", - "import warnings\n", - "\n", - "warnings.simplefilter('ignore', category=NumbaDeprecationWarning)\n", - "warnings.simplefilter('ignore', category=NumbaPendingDeprecationWarning)" - ] - }, { "cell_type": "markdown", "metadata": { @@ -124,51 +26,16 @@ "## The Kernel" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "CUDA kernels cannot make any MPI calls. If you need to pass information from one GPU to another it's done by the main program. Here's a simple example:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from ipyparallel import Client\n", - "rc = Client()\n", - "view = rc[:]\n", - "view.activate()\n", - "view.block = True" - ] - }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" - } - }, - "source": [ - "CUDA kernels cannot make any MPI calls. If you need to pass information from one GPU to another it's done by the main program. Here's a simple example:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "skip" - } + }, + "tags": [] }, - "outputs": [], "source": [ - "%%px\n", - "import numpy\n", - "import mpi4py.MPI as MPI\n", - "from numba import cuda" + "CUDA kernels cannot make any MPI calls. If you need to pass information from one GPU to another it's done by the main program." ] }, { @@ -183,16 +50,14 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, - "outputs": [], "source": [ - "%%px\n", + "```python\n", "@cuda.jit\n", "def shift(a, v):\n", " \"\"\"Shift all values in v by a.\n", @@ -206,7 +71,8 @@ " \"\"\"\n", " i = cuda.grid(1)\n", " if i < v.shape[0]:\n", - " v[i] += a" + " v[i] += a\n", + "```" ] }, { @@ -228,20 +94,20 @@ } }, "source": [ - "Now, we set up MPI, and generate random number on rank 0." + "Now, we set up MPI, and generate random number on rank 0 just like we did in [Introduction to MPI][IntroMPI].\n", + "\n", + "[IntroMPI]: Introduction%20to%20.ipynb" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ - "%%px\n", + "```python\n", "comm = MPI.COMM_WORLD\n", "my_rank = comm.Get_rank()\n", "number_of_ranks = comm.Get_size()\n", @@ -250,7 +116,8 @@ "if my_rank == 0:\n", " a = numpy.random.random(N * number_of_ranks)\n", "else:\n", - " a = numpy.empty(1)" + " a = numpy.empty(1)\n", + "```" ] }, { @@ -265,17 +132,16 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, - "outputs": [], "source": [ - "%%px\n", - "comm.Scatter(a, a_partial, root = 0)" + "```python\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "```" ] }, { @@ -301,20 +167,19 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, - "outputs": [], "source": [ - "%%px\n", + "```python\n", "block = 256\n", "grid = N // block if N % block == 0 else N // block + 1 \n", "\n", - "shift[grid, block](-0.5, a_partial)" + "shift[grid, block](-0.5, a_partial)\n", + "```" ] }, { @@ -339,55 +204,17 @@ "## Collecting the data" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "-" - } - }, - "outputs": [], - "source": [ - "%%px\n", - "comm.Gather(a_partial, a, root = 0)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "notes" - } - }, - "source": [ - "We generated a uniform distribution between 0 and 1 and then shifted it by -0.5. The mean value should now be close to zero." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "slideshow": { - "slide_type": "fragment" - } - }, - "outputs": [], - "source": [ - "%%px\n", - "if my_rank == 0:\n", - " print(\"The average of a is %.2f\" % numpy.mean(a)) # Result should be near zero." - ] - }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "-" } }, "source": [ - "## Picking a device" + "```python\n", + "comm.Gather(a_partial, a, root = 0)\n", + "```" ] }, { @@ -398,23 +225,7 @@ } }, "source": [ - "As you see from the example above, there's nothing special when using MPI with GPUs. The one thing that might bite you is using *multiple* MPI ranks for *multiple* GPUs on a *single* node. In this case, you might have to tell your MPI rank which GPU to use.\n", - "\n", - "If you have, for example, 4 GPUs and you know that your scheduler chooses a compact configuration, i.e., rank 0, 1, 2, 3 are on the first node, rank 4, 5, 6, 7 are on the second node, etc., you can use you rank to assign a GPU to your process:" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "-" - } - }, - "source": [ - "```python\n", - "\n", - "cuda.select_device(my_rank % number_of_gpus_per_node)\n", - "```" + "We generated a uniform distribution between 0 and 1 and then shifted it by -0.5. The mean value should now be close to zero. " ] }, { @@ -436,11 +247,9 @@ } }, "source": [ - "a) Write the above program to a file. Remember that you can move cells with the arrow buttons above and then merge them. There's a cell magic to write a cell to a file.\n", - "\n", - "b) Run the program on one node with 4 MPI processes.\n", + "a) Combine the above snippets into a program and write it to `parallel_shift.py`.\n", "\n", - "c) Add the cuda.select_device call to the program and run it again." + "b) Run the program on one node with 4 MPI processes using srun.\n" ] }, { @@ -452,7 +261,14 @@ } }, "outputs": [], - "source": [] + "source": [ + "%writefile parallel_shift.py\n", + "\n", + "Your code goes here\n", + "\n", + " if my_rank == 0:\n", + " print(\"The average of a is %.2f\" % numpy.mean(a)) # Result should be near zero.\n" + ] }, { "cell_type": "code", @@ -562,7 +378,7 @@ " comm = MPI.COMM_WORLD\n", " my_rank = comm.Get_rank()\n", " number_of_ranks = comm.Get_size()\n", - " number_of_gpus_per_node = 4\n", + " number_of_gpus_per_node = len(cuda.gpus)\n", " \n", " cuda.select_device(my_rank % number_of_gpus_per_node)\n", " \n", @@ -593,6 +409,44 @@ " main()" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Picking a device" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "source": [ + "As you see from the example above, there's nothing special when using MPI with GPUs. The one thing that might bite you is using *multiple* MPI ranks for *multiple* GPUs on a *single* node. In this case, you might have to tell your MPI rank which GPU to use.\n", + "\n", + "If you have, for example, 4 GPUs and you know that your scheduler chooses a compact configuration, i.e., rank 0, 1, 2, 3 are on the first node, rank 4, 5, 6, 7 are on the second node, etc., you can use you rank to assign a GPU to your process:" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "```python\n", + "\n", + "cuda.select_device(my_rank % number_of_gpus_per_node)\n", + "```" + ] + }, { "cell_type": "markdown", "metadata": { @@ -726,16 +580,226 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, "outputs": [], "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## CUDA-aware MPI" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "So far we only moved data stored on the CPU side between nodes, but as GPU programs become more complex, we have to move data between GPUs. We can still stage that data through the CPU, but if the MPI implementation is aware of GPU arrays, we can move data directly from one GPU to another." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "Earlier we generated random data on the CPU, scattered it, and then shifted all values on the GPU:\n", + "```python\n", + "import numpy\n", + "# Create an array with N * number_of_ranks elements\n", + "N = 1000\n", + "a_partial = numpy.empty(N)\n", + "if my_rank == 0:\n", + " a = numpy.random.random(N * number_of_ranks)\n", + "else:\n", + " a = numpy.empty(1)\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Let's use CuPy to generate the data on the GPU instead:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```python\n", + "import cupy\n", + "# Create an array with N * number_of_ranks elements\n", + "N = 1000\n", + "a_partial = cup.empty(N)\n", + "if my_rank == 0:\n", + " a = cupy.random.random(N * number_of_ranks)\n", + "else:\n", + " a = cupy.empty(1)\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Now the data lives on the GPU, but we can use the same MPI calls:" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "```python\n", + "# Distribute the data across the ranks\n", + "comm.Scatter(a, a_partial, root = 0)\n", + "\n", + "# Set up the launch configuration for the GPU\n", + "block = 256\n", + "grid = N // block if N % block == 0 else N // block + 1 \n", + "shift[grid, block](-0.5, a_partial)\n", + "\n", + "# Collect the data again on rank 0\n", + "comm.Gather(a_partial, a, root = 0) \n", + "\n", + "if my_rank == 0:\n", + " print(\"The average of a is %.2f\" % numpy.mean(a)) # Result should be near zero.\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "notes" + }, + "tags": [] + }, + "source": [ + "Let's write this to a file an give it a try." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "%%writefile cuda_aware_mpi_shift.py\n", + "import cupy\n", + "import mpi4py.MPI as MPI\n", + "from numba import cuda\n", + "\n", + "@cuda.jit\n", + "def shift(a, v):\n", + " \"\"\"Shift all values in v by a.\n", + " \n", + " Parameters\n", + " ----------\n", + " a: float\n", + " shift\n", + " v: numpy.ndarray\n", + " one-dimensional array with values that are to be shifted.\n", + " \"\"\"\n", + " i = cuda.grid(1)\n", + " if i < v.shape[0]:\n", + " v[i] += a\n", + " \n", + "\n", + "def main():\n", + " # Set up for MPI\n", + " comm = MPI.COMM_WORLD\n", + " my_rank = comm.Get_rank()\n", + " number_of_ranks = comm.Get_size()\n", + " number_of_gpus_per_node = len(cuda.gpus)\n", + " \n", + " # Create an array with N * number_of_ranks elements\n", + " N = 1_000_000\n", + " a_partial = cupy.empty(N)\n", + " if my_rank == 0:\n", + " a = cupy.random.random(N * number_of_ranks)\n", + " print(f\"[{my_rank}] The average before shifting is {cupy.mean(a):.3f}\")\n", + " else:\n", + " a = cupy.empty(1)\n", + " \n", + " # Distribute the data across the ranks\n", + " comm.Scatter(a, a_partial, root = 0)\n", + "\n", + " # Set up the launch configuration for the GPU\n", + " block = 256\n", + " grid = N // block if N % block == 0 else N // block + 1 \n", + " shift[grid, block](-0.75, a_partial)\n", + " print(f\"[{my_rank}] The average of a_partial is {cupy.mean(a_partial):.3f}\")\n", + " # Collect the data again on rank 0\n", + " comm.Gather(a_partial, a, root = 0) \n", + "\n", + " if my_rank == 0:\n", + " print(\"The average of a is %.2f\" % cupy.mean(a)) # Result should be near zero.\n", + " \n", + " \n", + "if __name__ == \"__main__\":\n", + " main()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "!srun -p gpus -n 4 -A training2219 xenv -L mpi-settings/CUDA python cuda_aware_mpi_shift.py" + ] } ], "metadata": { "kernelspec": { - "display_name": "HPC Python 2021", + "display_name": "HPC Python 2022", "language": "python", - "name": "hpcpy21" + "name": "hpcpy22" }, "language_info": { "codemirror_mode": { @@ -747,7 +811,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/solutions/14_Introduction to Dask.ipynb b/solutions/16_Introduction to Dask.ipynb similarity index 100% rename from solutions/14_Introduction to Dask.ipynb rename to solutions/16_Introduction to Dask.ipynb diff --git a/solutions/06_Debugging.ipynb b/solutions/17_Debugging.ipynb similarity index 100% rename from solutions/06_Debugging.ipynb rename to solutions/17_Debugging.ipynb diff --git a/solutions/07_IDEs.ipynb b/solutions/18_IDEs.ipynb similarity index 100% rename from solutions/07_IDEs.ipynb rename to solutions/18_IDEs.ipynb diff --git a/solutions/build.sh b/solutions/build.sh index 399a64b..bd4b6a6 100755 --- a/solutions/build.sh +++ b/solutions/build.sh @@ -1,5 +1,5 @@ #!/bin/bash -#source hpcpy19 +source $PROJECT_training2219/hpcpy22 # Build points pushd code/point rm -rf build diff --git a/solutions/hpcpy21 b/solutions/hpcpy22 old mode 100755 new mode 100644 similarity index 54% rename from solutions/hpcpy21 rename to solutions/hpcpy22 index 9047da7..b29c14c --- a/solutions/hpcpy21 +++ b/solutions/hpcpy22 @@ -1,6 +1,5 @@ -#!/bin/bash module purge --force -module load Stages/2020 +module load Stages/2022 module load GCC module load ParaStationMPI module load Graphviz @@ -10,11 +9,11 @@ module load dask module load mpi4py module load Jupyter module load CUDA +module load CMake #export NUMBAPRO_NVVM=$CUDA_HOME/nvvm/lib64/libnvvm.so #export NUMBAPRO_LIBDEVICE=$CUDA_HOME/nvvm/libdevice -export LD_LIBRARY_PATH=/p/project/training2114/resources/code/text_stats/build:$LD_LIBRARY_PATH -export LD_LIBRARY_PATH=/p/project/training2114/resources/code/point/build:$LD_LIBRARY_PATH -export PYTHONPATH=/p/project/training2114/packages/lib/python3.8/site-packages:$PYTHONPATH -export PATH=$PROJECT_training2114/packages/bin:$PATH -export HPCPY2021=1 -export PS1='π21[\u@\h \W]\$ ' +export LD_LIBRARY_PATH=/p/project/training2219/resources/code/text_stats/build:$LD_LIBRARY_PATH +export LD_LIBRARY_PATH=/p/project/training2219/resources/code/point/build:$LD_LIBRARY_PATH +export PYTHONPATH=/p/project/training2219/packages/lib/python3.9/site-packages:$PYTHONPATH +export PATH=/p/project/training2219/packages/bin:$PATH +export HPCPY2022=1 -- GitLab