numeric-linalg
Educational material on the SciPy implementation of numerical linear algebra algorithms
File Name | Size | Mode |
benchmark.ipynb | 218731B | -rw-r--r-- |
1 { 2 "cells": [ 3 { 4 "cell_type": "markdown", 5 "id": "c4687720-afc4-4031-8940-03c6412f3339", 6 "metadata": {}, 7 "source": [ 8 "# Performance of `getrf`\n", 9 "\n", 10 "To anaylise the performance of LAPACK's implementation of `getrf` we implemented a benchmarking tool using the [`perf_event_open` Linux syscall](https://www.man7.org/linux/man-pages/man2/perf_event_open.2.html), which you can find in the `/getrf/benchmarks` directory." 11 ] 12 }, 13 { 14 "cell_type": "markdown", 15 "id": "9decf754-a174-4338-9c54-5eef69cc91bb", 16 "metadata": {}, 17 "source": [ 18 "## Theoretical Algorithmic Complexity\n", 19 "\n", 20 "To _measure_ the theoretical complexity of the `getrf` algorithm we plot the log of the excution time on progressively larger inputs: `getrf` is $O(n^d)$, where $d$ is the slope of the result line in the plot. We can thus confirm that `getrf` is $O(n^3)$!" 21 ] 22 }, 23 { 24 "cell_type": "code", 25 "execution_count": 1, 26 "id": "30318f00-d2d5-444f-9e8a-abd78af4b74f", 27 "metadata": {}, 28 "outputs": [ 29 { 30 "data": { 31 "image/png": "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", 32 "text/plain": [ 33 "<Figure size 640x480 with 1 Axes>" 34 ] 35 }, 36 "metadata": {}, 37 "output_type": "display_data" 38 } 39 ], 40 "source": [ 41 "import numpy as np\n", 42 "import matplotlib.pyplot as plt\n", 43 "\n", 44 "BLUE, CYAN, GREEN = (0, 0.22265625, 0.8359375), (0, 0.640625, 0.8359375), (0, 0.8359375, 0.61328125)\n", 45 "YELLOW = (1, 0.703125, 0)\n", 46 "\n", 47 "MAX_N = 5000\n", 48 "STEP = 100\n", 49 "\n", 50 "x = np.arange(1, MAX_N, STEP)\n", 51 "x_ref = np.arange(np.log(x[0]), np.log(x[-1]))\n", 52 "\n", 53 "cpu_cycles = np.fromfile(\"benchmarks/output/cpu-cycles.bin\", dtype=np.uint64)\n", 54 "plt.plot(np.log(x), np.log(cpu_cycles), color=BLUE)\n", 55 "plt.scatter(np.log(x), np.log(cpu_cycles), color=BLUE, s=7)\n", 56 "plt.plot(x_ref, 3 * x_ref, color=YELLOW)\n", 57 "\n", 58 "plt.title(\"CPU cycles per input size\")\n", 59 "plt.xticks(np.arange(0, 9, 2))\n", 60 "plt.yticks(np.arange(0, 28, 2))\n", 61 "plt.xlabel('n')\n", 62 "plt.ylabel('log(cpu cycles)')\n", 63 "plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)" 64 ] 65 }, 66 { 67 "cell_type": "markdown", 68 "id": "a1d02f49-35f3-4055-ac14-3bd39b9b9319", 69 "metadata": {}, 70 "source": [ 71 "## Optimizations\n", 72 "\n", 73 "We can also measure how different optimizations affect the runtime performance of the algorithm. Here we consider 3 versions of the `getrf` algorithm:\n", 74 "\n", 75 "1. **LAPACK:** the actual LAPACK implementation of `dgetrf`\n", 76 "2. **Naive:** implementation where we take $n_1 = 1$\n", 77 "3. **Unblocked:** unblocked version of `dgetrf` (`dgetrf2`)" 78 ] 79 }, 80 { 81 "cell_type": "code", 82 "execution_count": 2, 83 "id": "2e55827d-1fa1-4c5a-a8f0-2a48f532ff56", 84 "metadata": {}, 85 "outputs": [ 86 { 87 "data": { 88 "image/png": "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", 89 "text/plain": [ 90 "<Figure size 640x480 with 1 Axes>" 91 ] 92 }, 93 "metadata": {}, 94 "output_type": "display_data" 95 } 96 ], 97 "source": [ 98 "cpu_cycles_naive = np.fromfile(\"benchmarks/output/cpu-cycles-naive.bin\", dtype=np.uint64)\n", 99 "plt.plot(x, cpu_cycles_naive, color=CYAN, label=\"Naive\")\n", 100 "\n", 101 "cpu_cycles_unblocked = np.fromfile(\"benchmarks/output/cpu-cycles-unblocked.bin\", dtype=np.uint64)\n", 102 "plt.plot(x, cpu_cycles_unblocked, color=GREEN, label=\"Unblocked\")\n", 103 "\n", 104 "# Referance plot\n", 105 "plt.plot(x, cpu_cycles, color=BLUE, label=\"LAPACK\")\n", 106 "\n", 107 "plt.title(\"CPU cycles per input size\")\n", 108 "plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)\n", 109 "plt.xlabel('n')\n", 110 "plt.ylabel('cpu cycles')\n", 111 "plt.legend()\n", 112 "plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)" 113 ] 114 }, 115 { 116 "cell_type": "markdown", 117 "id": "7a769706-fcd6-4d35-af85-a95fc76a990b", 118 "metadata": {}, 119 "source": [ 120 "We can thus see that the performance of the LAPACK implementation is roughtly equivalent to the naive implementation, while blocking affords us a $1.8 \\times$ speedup.\n", 121 "\n", 122 "Surprisingly, this speedup doesn't seem be correlated with the [_cache miss ratio_](https://en.wikipedia.org/wiki/Cache_(computing)#Operation) of both implementation, as the ratio of the unblocked implementation is actually slightely smaller. Instead, the difference in performance seems to be caused by the fact that the unblocked implementation access the cache more often than its blocked counterpart:" 123 ] 124 }, 125 { 126 "cell_type": "code", 127 "execution_count": 3, 128 "id": "451a3f62-3ddb-4d16-90d5-6dcafa000485", 129 "metadata": {}, 130 "outputs": [ 131 { 132 "data": { 133 "image/png": "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", 134 "text/plain": [ 135 "<Figure size 1000x500 with 2 Axes>" 136 ] 137 }, 138 "metadata": {}, 139 "output_type": "display_data" 140 } 141 ], 142 "source": [ 143 "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n", 144 "cache_loads_plt, cache_ratio_plt = axs\n", 145 "\n", 146 "cache_misses = np.fromfile(\"benchmarks/output/cache-misses.bin\", dtype=np.uint64)[1:]\n", 147 "cache_loads = np.fromfile(\"benchmarks/output/cache-loads.bin\", dtype=np.uint64)[1:]\n", 148 "cache_ratio = cache_misses/cache_loads\n", 149 "cache_ratio_plt.plot(x[1:], cache_ratio, color=BLUE, label=\"LAPACK\")\n", 150 "\n", 151 "cache_misses_unblocked = np.fromfile(\"benchmarks/output/cache-misses-unblocked.bin\", dtype=np.uint64)[1:]\n", 152 "cache_loads_unblocked = np.fromfile(\"benchmarks/output/cache-loads-unblocked.bin\", dtype=np.uint64)[1:]\n", 153 "cache_ratio_unblocked = cache_misses_unblocked/cache_loads_unblocked\n", 154 "cache_ratio_plt.plot(x[1:], cache_ratio_unblocked, color=GREEN, label=\"Unblocked\")\n", 155 "\n", 156 "cache_ratio_plt.set_title(\"L1 cache miss ratio per input size\")\n", 157 "cache_ratio_plt.set_xlabel('n')\n", 158 "cache_ratio_plt.legend()\n", 159 "cache_ratio_plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)\n", 160 "\n", 161 "cache_loads_plt.plot(x[1:], cache_loads, color=BLUE, label=\"LAPACK\")\n", 162 "cache_loads_plt.plot(x[1:], cache_loads_unblocked, color=GREEN, label=\"Unblocked\")\n", 163 "\n", 164 "cache_loads_plt.set_title(\"L1 cache loads per input size\")\n", 165 "cache_loads_plt.set_xlabel('n')\n", 166 "cache_loads_plt.set_ylabel('cache loads')\n", 167 "cache_loads_plt.legend()\n", 168 "cache_loads_plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)" 169 ] 170 }, 171 { 172 "cell_type": "code", 173 "execution_count": null, 174 "id": "3cfd5c0d-69e7-48bc-ad06-49091de0ae53", 175 "metadata": {}, 176 "outputs": [], 177 "source": [] 178 } 179 ], 180 "metadata": { 181 "kernelspec": { 182 "display_name": "Python 3 (ipykernel)", 183 "language": "python", 184 "name": "python3" 185 }, 186 "language_info": { 187 "codemirror_mode": { 188 "name": "ipython", 189 "version": 3 190 }, 191 "file_extension": ".py", 192 "mimetype": "text/x-python", 193 "name": "python", 194 "nbconvert_exporter": "python", 195 "pygments_lexer": "ipython3", 196 "version": "3.12.7" 197 } 198 }, 199 "nbformat": 4, 200 "nbformat_minor": 5 201 }