numeric-linalg
Educational material on the SciPy implementation of numerical linear algebra algorithms
File Name | Size | Mode |
benchmark.ipynb | 171574B | -rw-r--r-- |
1 { 2 "cells": [ 3 { 4 "cell_type": "markdown", 5 "id": "9decf754-a174-4338-9c54-5eef69cc91bb", 6 "metadata": {}, 7 "source": [ 8 "To test the 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 $O(n^3)$!" 9 ] 10 }, 11 { 12 "cell_type": "code", 13 "execution_count": 3, 14 "id": "30318f00-d2d5-444f-9e8a-abd78af4b74f", 15 "metadata": {}, 16 "outputs": [ 17 { 18 "data": { 19 "image/png": 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", 20 "text/plain": [ 21 "<Figure size 640x480 with 1 Axes>" 22 ] 23 }, 24 "metadata": {}, 25 "output_type": "display_data" 26 } 27 ], 28 "source": [ 29 "import numpy as np\n", 30 "import matplotlib.pyplot as plt\n", 31 "\n", 32 "BLUE, CYAN, GREEN = (0, 0.22265625, 0.8359375), (0, 0.640625, 0.8359375), (0, 0.8359375, 0.61328125)\n", 33 "YELLOW = (1, 0.703125, 0)\n", 34 "\n", 35 "MAX_N = 5000\n", 36 "STEP = 100\n", 37 "\n", 38 "# Used to avoid errors when taking the log of the histogram\n", 39 "EPS = 0.00000001\n", 40 "\n", 41 "x = np.arange(1, MAX_N, STEP)\n", 42 "x_ref = np.arange(np.log(x[0]), np.log(x[-1]))\n", 43 "\n", 44 "histogram_dgetrf = np.fromfile(\"output/runtime-dgetrf.bin\", dtype=np.uint32)\n", 45 "plt.plot(np.log(x), np.log(histogram_dgetrf + EPS), color=BLUE)\n", 46 "plt.scatter(np.log(x), np.log(histogram_dgetrf + EPS), color=BLUE, s=7)\n", 47 "plt.plot(x_ref, 3 * x_ref, color=YELLOW)\n", 48 "\n", 49 "plt.xticks(np.arange(0, 9, 2))\n", 50 "plt.yticks(np.arange(-18, 34, 2))\n", 51 "plt.xlabel('n')\n", 52 "plt.ylabel('log(ms)')\n", 53 "plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)" 54 ] 55 }, 56 { 57 "cell_type": "markdown", 58 "id": "a1d02f49-35f3-4055-ac14-3bd39b9b9319", 59 "metadata": {}, 60 "source": [ 61 "We can also compare the LAPACK implementation of `getrf` with variations of the same algorithm:" 62 ] 63 }, 64 { 65 "cell_type": "code", 66 "execution_count": 20, 67 "id": "2e55827d-1fa1-4c5a-a8f0-2a48f532ff56", 68 "metadata": {}, 69 "outputs": [ 70 { 71 "data": { 72 "image/png": 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", 73 "text/plain": [ 74 "<Figure size 640x480 with 1 Axes>" 75 ] 76 }, 77 "metadata": {}, 78 "output_type": "display_data" 79 } 80 ], 81 "source": [ 82 "histogram_naive = np.fromfile(\"output/runtime-naive.bin\", dtype=np.uint32)\n", 83 "plt.plot(x, histogram_naive, color=CYAN, label=\"Naive\")\n", 84 "\n", 85 "histogram_unblocked = np.fromfile(\"output/runtime-unblocked.bin\", dtype=np.uint32)\n", 86 "plt.plot(x, histogram_unblocked, color=GREEN, label=\"Unblocked\")\n", 87 "\n", 88 "# Referance plot\n", 89 "plt.plot(x, histogram_dgetrf, color=BLUE, label=\"LAPACK implementation\")\n", 90 "\n", 91 "plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)\n", 92 "plt.xlabel('n')\n", 93 "plt.ylabel('ms')\n", 94 "plt.legend\n", 95 "plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)" 96 ] 97 }, 98 { 99 "cell_type": "markdown", 100 "id": "7a769706-fcd6-4d35-af85-a95fc76a990b", 101 "metadata": {}, 102 "source": [ 103 "In the last plot, the _Naive_ line represents the execution time of the same algorithm but taking $n_1 = 1$, while the _Unblocked_ line represents the unblocked version of `getrf`. We can thus see that the performance of the LAPACK implementation is roughtly equivalent to the naive implementation, while blocking affords us a $2 \\times$ speedup. 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 smaller than that of its blocked counterpart:" 104 ] 105 }, 106 { 107 "cell_type": "code", 108 "execution_count": 24, 109 "id": "451a3f62-3ddb-4d16-90d5-6dcafa000485", 110 "metadata": {}, 111 "outputs": [ 112 { 113 "data": { 114 "image/png": 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", 115 "text/plain": [ 116 "<Figure size 640x480 with 1 Axes>" 117 ] 118 }, 119 "metadata": {}, 120 "output_type": "display_data" 121 } 122 ], 123 "source": [ 124 "histogram_cache_misses = np.fromfile(\"output/cache-misses.bin\", dtype=np.uint64)[1:]\n", 125 "histogram_cache_loads = np.fromfile(\"output/cache-loads.bin\", dtype=np.uint64)[1:]\n", 126 "histogram_cache_ratio = histogram_cache_misses/histogram_cache_loads\n", 127 "plt.plot(x[1:], histogram_cache_ratio, color=BLUE, label=\"LAPACK implementation\")\n", 128 "\n", 129 "histogram_cache_misses_unblocked = np.fromfile(\"output/unblocked-cache-misses.bin\", dtype=np.uint64)[1:]\n", 130 "histogram_cache_loads_unblocked = np.fromfile(\"output/unblocked-cache-loads.bin\", dtype=np.uint64)[1:]\n", 131 "histogram_cache_ratio_unblocked = histogram_cache_misses_unblocked/histogram_cache_loads_unblocked\n", 132 "plt.plot(x[1:], histogram_cache_ratio_unblocked, color=GREEN, label=\"Unblocked\")\n", 133 "\n", 134 "plt.xlabel('n')\n", 135 "plt.legend()\n", 136 "plt.grid(which='both', color='gray', linestyle='--', linewidth=0.5)" 137 ] 138 }, 139 { 140 "cell_type": "code", 141 "execution_count": null, 142 "id": "59ad25e2-e430-4790-84af-5dc6d67142fd", 143 "metadata": {}, 144 "outputs": [], 145 "source": [] 146 } 147 ], 148 "metadata": { 149 "kernelspec": { 150 "display_name": "Python 3 (ipykernel)", 151 "language": "python", 152 "name": "python3" 153 }, 154 "language_info": { 155 "codemirror_mode": { 156 "name": "ipython", 157 "version": 3 158 }, 159 "file_extension": ".py", 160 "mimetype": "text/x-python", 161 "name": "python", 162 "nbconvert_exporter": "python", 163 "pygments_lexer": "ipython3", 164 "version": "3.12.7" 165 } 166 }, 167 "nbformat": 4, 168 "nbformat_minor": 5 169 }