{ "cells": [ { "cell_type": "markdown", "id": "2c2b4350", "metadata": {}, "source": [ "# Benchmark" ] }, { "cell_type": "markdown", "id": "497d9b9d", "metadata": {}, "source": [ "## Benchmark for NeighborSearch in mdapy and [freud](https://github.com/glotzerlab/freud)." ] }, { "cell_type": "code", "execution_count": 1, "id": "9c5558fe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Taichi] version 1.7.1, llvm 15.0.1, commit 0f143b2f, win, python 3.10.14\n", "[Taichi] Starting on arch=x64\n" ] } ], "source": [ "import mdapy as mp\n", "import freud\n", "import numpy as np\n", "from time import time\n", "import matplotlib.pyplot as plt\n", "from mdapy import set_figure\n", "mp.init()" ] }, { "cell_type": "code", "execution_count": 2, "id": "0e2e6189", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mdapy version is: 0.11.1\n", "freud version is: 3.1.0\n" ] } ], "source": [ "print('mdapy version is:', mp.__version__)\n", "print('freud version is:', freud.__version__)" ] }, { "cell_type": "code", "execution_count": 3, "id": "12b9a417", "metadata": {}, "outputs": [], "source": [ "def test_neighbor_average_time(ave_num=3, check=False):\n", " time_list = []\n", " print(\"*\" * 30)\n", " for num in [5, 25, 45, 65, 85, 105, 125]: # 150, 175, 200, 225, 250\n", " FCC = mp.LatticeMaker(3.615, \"FCC\", num, 100, 100)\n", " FCC.compute()\n", " print(f\"Build {FCC.N} atoms...\")\n", " freud_t, mdapy_t = 0.0, 0.0\n", " for turn in range(ave_num):\n", " print(f\"Running {turn+1} turn in freud...\")\n", " box = freud.box.Box(Lx=FCC.box[0, 0], Ly=FCC.box[1, 1], Lz=FCC.box[2, 2])\n", "\n", " shift_pos = (\n", " FCC.pos\n", " - np.min(FCC.pos, axis=0)\n", " - np.array([np.linalg.norm(FCC.box[i]) for i in range(3)]) / 2\n", " )\n", " start = time()\n", " aq = freud.locality.AABBQuery(box, shift_pos)\n", " nlist = aq.query(\n", " shift_pos, {\"r_max\": 5.0, \"exclude_ii\": True}\n", " ).toNeighborList()\n", " end = time()\n", " freud_t += end - start\n", "\n", " print(f\"Running {turn+1} turn in mdapy...\")\n", " start = time()\n", " neigh = mp.Neighbor(FCC.pos, FCC.box, 5.0, max_neigh=50)\n", " neigh.compute()\n", " end = time()\n", " mdapy_t += end - start\n", " if check:\n", " print(f\"Checking results of {turn} turn...\")\n", " assert (nlist.neighbor_counts == neigh.neighbor_number).all()\n", " time_list.append([FCC.N, freud_t / ave_num, mdapy_t / ave_num])\n", " print(\"*\" * 30)\n", " time_list = np.array(time_list)\n", " return time_list" ] }, { "cell_type": "code", "execution_count": 4, "id": "321ee909", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "******************************\n", "Build 200000 atoms...\n", "Running 1 turn in freud...\n", "Running 1 turn in mdapy...\n", "Running 2 turn in freud...\n", "Running 2 turn in mdapy...\n", "******************************\n", "Build 1000000 atoms...\n", "Running 1 turn in freud...\n", "Running 1 turn in mdapy...\n", "Running 2 turn in freud...\n", "Running 2 turn in mdapy...\n", "******************************\n", "Build 1800000 atoms...\n", "Running 1 turn in freud...\n", "Running 1 turn in mdapy...\n", "Running 2 turn in freud...\n", "Running 2 turn in mdapy...\n", "******************************\n", "Build 2600000 atoms...\n", "Running 1 turn in freud...\n", "Running 1 turn in mdapy...\n", "Running 2 turn in freud...\n", "Running 2 turn in mdapy...\n", "******************************\n", "Build 3400000 atoms...\n", "Running 1 turn in freud...\n", "Running 1 turn in mdapy...\n", "Running 2 turn in freud...\n", "Running 2 turn in mdapy...\n", "******************************\n", "Build 4200000 atoms...\n", "Running 1 turn in freud...\n", "Running 1 turn in mdapy...\n", "Running 2 turn in freud...\n", "Running 2 turn in mdapy...\n", "******************************\n", "Build 5000000 atoms...\n", "Running 1 turn in freud...\n", "Running 1 turn in mdapy...\n", "Running 2 turn in freud...\n", "Running 2 turn in mdapy...\n", "******************************\n" ] } ], "source": [ "time_list = test_neighbor_average_time(ave_num=2) # For simple output only run two turns." ] }, { "cell_type": "code", "execution_count": 5, "id": "1277db40", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Time (s)')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = set_figure(figsize=(10, 8), left=0.16, bottom=0.165, top=0.92, right=0.95, use_pltset=True)\n", "colorlist = [i[\"color\"] for i in list(plt.rcParams[\"axes.prop_cycle\"])]\n", "N_max = time_list[-1, 0]\n", "exp_max = int(np.log10(N_max))\n", "x, y = time_list[:, 0] / 10**exp_max, time_list[:, 1]\n", "\n", "popt = np.polyfit(x, y, 1)\n", "plt.plot(x, np.poly1d(popt)(x), c=colorlist[0])\n", "plt.plot(x, y, \"o\", label=f\"freud, k={popt[0]:.1f}\")\n", "\n", "y1 = time_list[:, 2]\n", "popt = np.polyfit(x, y1, 1)\n", "plt.plot(x, np.poly1d(popt)(x), c=colorlist[1])\n", "plt.plot(x, y1, \"o\", label=f\"mdapy, k={popt[0]:.1f}\")\n", "plt.title('Neighbor Search', fontsize=12)\n", "plt.legend()\n", "plt.xlabel(\"Number of atoms ($\\mathregular{10^%d}$)\" % exp_max)\n", "plt.ylabel(\"Time (s)\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 5 }