{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Reflectometry simulations performance - BornAgain vs Refnx

\n", "\n", "\n", "In this notebook, performance tests for BornAgain reflectometry simulations are carried out and the calculation's bottleneck is found. To have some ground for comparison, the same performance tests are made for Refnx:\n", "\n", " - Time scaling with the number of layers\n", " - Time taken to run a simple simulation\n", " - Time scaling with the simulation resolution\n", " " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%reset -f\n", "# Generic modules:\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from datetime import datetime as dtime\n", "from mpl_toolkits.axes_grid1.inset_locator import inset_axes\n", "import os.path\n", "import time\n", "%matplotlib inline\n", "\n", "# Bornagain modules:\n", "import bornagain as ba\n", "from bornagain import deg, angstrom\n", "\n", "# Refnx modules:\n", "import refnx, scipy\n", "from refnx.reflect import SLD, ReflectModel, Slab, Structure, LipidLeaflet\n", "\n", "# Modules for profiling:\n", "import cProfile, pstats, io\n", "\n", "# Global vars:\n", "WAVELENGTH = 1.00\n", "THETA_VALUES = np.linspace(0.0,10,1025)\n", "Q_VALUES = 4.0*np.pi*np.sin(THETA_VALUES*np.pi/180.0)/WAVELENGTH\n", "N_LAYERS = 10\n", "\n", "def plot_timings_comparison(ba_t, rfnx_t, x_label):\n", " FigSize = 20\n", " FontSize = 20\n", " BorderWidth = 3\n", " plt.rcParams.update({'font.size': FontSize})\n", " plt.rcParams.update({'axes.linewidth': BorderWidth}) \n", " plt.figure(figsize=(7,7))\n", " plt.plot(ba_t[:,0], ba_t[:,1], 'o-',label = \"BornAgain\")\n", " plt.plot(rfnx_t[:,0], rfnx_t[:,1], 'o-',label = \"Refnx\")\n", " plt.legend()\n", " plt.grid()\n", " plt.ylabel(\"$t \\, [s]$\")\n", " plt.xlabel(x_label)\n", " \n", "def profile(fnc):\n", " \"\"\"\n", " A decorator that uses cProfile to profile a function\n", " \"\"\"\n", " \n", " def inner(*args, **kwargs):\n", " pr = cProfile.Profile()\n", " pr.enable()\n", " retval = fnc(*args, **kwargs)\n", " pr.disable()\n", " s = io.StringIO()\n", " sortby = 'cumulative'\n", " ps = pstats.Stats(pr, stream=s).sort_stats(sortby)\n", " ps.print_stats()\n", " print(s.getvalue())\n", " return retval\n", "\n", " return inner" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Benchmark model: Ti-Ni stacked layers\n", "\n", "The Ti-Ni multilayer is a very simple model, reproduced with a high level of agreement between BornAgain and Refnx." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ti-Ni model in Bornagain" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def ba_reflectivity(multilayer,theta_vals):\n", " wavelength = 1.0 * ba.angstrom\n", " simulation = ba.SpecularSimulation()\n", " simulation.setBeamParameters(wavelength, theta_vals * deg)\n", " simulation.setSample(multilayer)\n", " simulation.runSimulation()\n", " results = simulation.result()\n", " simulation_data = results.data()\n", " return simulation_data.getArray()\n", "\n", "def run_ba_model(num_bilayers,theta_vals):\n", " # creating materials\n", " m_ambient = ba.MaterialBySLD(\"Ambient\", 0.0, 0.0)\n", " m_ti = ba.MaterialBySLD(\"Ti\", -1.9493e-06, 0.0)\n", " m_ni = ba.MaterialBySLD(\"Ni\", 9.4245e-06, 0.0)\n", " m_substrate = ba.MaterialBySLD(\"SiSubstrate\", 2.0704e-06, 0.0)\n", " \n", " # creating layers\n", " ambient_layer = ba.Layer(m_ambient)\n", " ti_layer = ba.Layer(m_ti, 30 * angstrom)\n", " ni_layer = ba.Layer(m_ni, 70 * angstrom)\n", " substrate_layer = ba.Layer(m_substrate)\n", " \n", " # creating the multilayer\n", " ti_ni_multilayer = ba.MultiLayer()\n", " \n", " ti_ni_multilayer.addLayer(ambient_layer)\n", " for i in range(num_bilayers):\n", " ti_ni_multilayer.addLayer(ti_layer)\n", " ti_ni_multilayer.addLayer(ni_layer)\n", " ti_ni_multilayer.addLayer(substrate_layer)\n", " \n", " reflectivity_values = ba_reflectivity(ti_ni_multilayer,theta_vals)\n", " \n", " return reflectivity_values\n", "\n", "@profile\n", "def profile_ba_model(num_bilayers,theta_vals):\n", " return run_ba_model(num_bilayers,theta_vals)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ti-Ni model in Refnx" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def refnx_reflectivity(structure,qvals):\n", " return ReflectModel(structure, scale=1.0, bkg=0.0, dq=0.0).model(qvals)\n", "\n", "def run_refnx_model(num_bilayers,qvals):\n", " # set up the SLD objects for each layer\n", " sld_air = SLD(0.0 + 0.0j, name='air')\n", " sld_Ti = SLD(-1.9493 + 0.0j, name='Ti')\n", " sld_Ni = SLD(9.4245 + 0.0j, name='Ni')\n", " sld_Si = SLD(2.0704 + 0.0j, name='Si')\n", " \n", " # set up the Slab objects for each layer\n", " slab_air = Slab(0.0, sld_air, 0.0, name='air_slab')\n", " slab_Ti = Slab(30.0, sld_Ti, 0.0, name ='Ti_slab')\n", " slab_Ni = Slab(70.0, sld_Ni, 0.0, name ='Ni_slab')\n", " slab_Si = Slab(0.0, sld_Si, 0.0, name ='Si_slab')\n", "\n", " # set up the Structure object from the Slabs\n", " structure = Structure()\n", " \n", " structure.append(slab_air)\n", " for i in range(num_bilayers):\n", " structure.append(slab_Ti)\n", " structure.append(slab_Ni)\n", " structure.append(slab_Si)\n", " \n", " reflectivity_values = refnx_reflectivity(structure,qvals)\n", " \n", " return reflectivity_values\n", " \n", "@profile\n", "def profile_refnx_model(num_bilayers,qvals):\n", " return run_refnx_model(num_bilayers,qvals)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Time scaling with the number of layers" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [], "source": [ "ba_t = []\n", "rfnx_t = []\n", "for n_bilayers in [100,200,300,400,500,600,700,800,900,1000]:\n", " ba_t0 = time.time()\n", " run_ba_model(n_bilayers,THETA_VALUES)\n", " ba_tf = time.time()\n", " ba_t.append([n_bilayers, ba_tf-ba_t0])\n", " \n", " rfnx_t0 = time.time()\n", " run_refnx_model(n_bilayers,Q_VALUES)\n", " rfnx_tf = time.time()\n", " rfnx_t.append([n_bilayers, rfnx_tf-rfnx_t0]) \n", " \n", "ba_t = np.asarray(ba_t)\n", "rfnx_t = np.asarray(rfnx_t)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_timings_comparison(ba_t,rfnx_t,\"Number of Ti-Ni bilayers\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7,7))\n", "plt.loglog(ba_t[:,0],ba_t[:,1],'o-',label=\"BornAgain\")\n", "plt.loglog(rfnx_t[:,0],rfnx_t[:,1],'o-',label=\"Refnx\")\n", "plt.loglog(ba_t[:,0], 5e-6*ba_t[:,0]**2,'k--',label=\"$t \\sim O(N^2)$\")\n", "plt.loglog(rfnx_t[:,0], 2e-4*rfnx_t[:,0],'k-.',label=\"$t \\sim O(N)$\")\n", "plt.xlabel(\"Number of Ti-Ni bilayers\")\n", "plt.ylabel(\"$t \\, [s]$\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(ba_t[:,0],ba_t[:,1]/rfnx_t[:,1],'o-')\n", "plt.xlabel(\"Number of Ti-Ni bilayers\")\n", "plt.ylabel(\"$t_{BA} / t_{refnx}$\")\n", "plt.axhline(np.mean(ba_t[:,1]/rfnx_t[:,1]),ls='--',c='k')\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## BornAgain is performing very bad. Where is the bottleneck?\n", "Profile a simulation using 1000 pairs of Ti-Ni bilayers" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 4106 function calls in 4.344 seconds\n", "\n", " Ordered by: cumulative time\n", "\n", " ncalls tottime percall cumtime percall filename:lineno(function)\n", " 1 0.001 0.001 4.344 4.344 :37(profile_ba_model)\n", " 1 0.001 0.001 4.343 4.343 :11(run_ba_model)\n", " 1 0.000 0.000 4.284 4.284 :1(ba_reflectivity)\n", " 1 0.000 0.000 4.230 4.230 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:16390(runSimulation)\n", " 1 4.230 4.230 4.230 4.230 {built-in method _libBornAgainCore.Simulation_runSimulation}\n", " 2002 0.002 0.000 0.058 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:24881(addLayer)\n", " 2002 0.056 0.000 0.056 0.000 {built-in method _libBornAgainCore.MultiLayer_addLayer}\n", " 1 0.000 0.000 0.045 0.045 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:16501(setSample)\n", " 1 0.044 0.044 0.044 0.044 {built-in method _libBornAgainCore.Simulation_setSample}\n", " 1 0.000 0.000 0.009 0.009 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:28209(result)\n", " 1 0.008 0.008 0.009 0.009 {built-in method _libBornAgainCore.SpecularSimulation_result}\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:18070()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:28221(setBeamParameters)\n", " 1 0.000 0.000 0.000 0.000 {built-in method _libBornAgainCore.SpecularSimulation_setBeamParameters}\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:28148(__init__)\n", " 4 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:23903(__init__)\n", " 12 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:70(_swig_setattr)\n", " 1 0.000 0.000 0.000 0.000 {built-in method _libBornAgainCore.new_SpecularSimulation}\n", " 4 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:24700(MaterialBySLD)\n", " 12 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:51(_swig_setattr_nondynamic)\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:18091(data)\n", " 4 0.000 0.000 0.000 0.000 {built-in method _libBornAgainCore.MaterialBySLD}\n", " 1 0.000 0.000 0.000 0.000 {built-in method _libBornAgainCore.SimulationResult_data}\n", " 4 0.000 0.000 0.000 0.000 {built-in method _libBornAgainCore.new_Layer}\n", " 6 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:74(_swig_getattr)\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:24834(__init__)\n", " 4 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:24519()\n", " 4 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:23896()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:25770(getArray)\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:28145()\n", " 1 0.000 0.000 0.000 0.000 {built-in method _libBornAgainCore.IntensityData_getArray}\n", " 4 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:23892()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:28141()\n", " 1 0.000 0.000 0.000 0.000 {built-in method _libBornAgainCore.new_MultiLayer}\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:25353()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:24827()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:24831()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:24847()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:18171()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:28163()\n", " 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}\n", " 6 0.000 0.000 0.000 0.000 {method 'get' of 'dict' objects}\n", " 4 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:24680()\n", " 4 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:23928()\n", " 1 0.000 0.000 0.000 0.000 /usr/lib/python3/dist-packages/bornagain/libBornAgainCore.py:25371()\n", "\n", "\n", "\n" ] } ], "source": [ "ba_results = profile_ba_model(1000,THETA_VALUES)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 41247 function calls (41245 primitive calls) in 0.180 seconds\n", "\n", " Ordered by: cumulative time\n", "\n", " ncalls tottime percall cumtime percall filename:lineno(function)\n", " 1 0.000 0.000 0.180 0.180 :30(profile_refnx_model)\n", " 1 0.000 0.000 0.180 0.180 :4(run_refnx_model)\n", " 1 0.000 0.000 0.177 0.177 :1(refnx_reflectivity)\n", " 1 0.000 0.000 0.177 0.177 /usr/local/lib/python3.5/dist-packages/refnx/reflect/reflect_model.py:153(model)\n", " 1 0.000 0.000 0.161 0.161 /usr/local/lib/python3.5/dist-packages/refnx/reflect/reflect_model.py:228(reflectivity)\n", " 1 0.161 0.161 0.161 0.161 {built-in method refnx.reflect._creflect.abeles}\n", " 1 0.004 0.004 0.016 0.016 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:151(slabs)\n", " 2002 0.003 0.000 0.010 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:570(slabs)\n", " 2002 0.002 0.000 0.003 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/shape_base.py:83(atleast_2d)\n", " 4025 0.002 0.000 0.002 0.000 {built-in method numpy.array}\n", " 2002 0.001 0.000 0.002 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:112(append)\n", " 10036 0.001 0.000 0.001 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:412(value)\n", " 20 0.000 0.000 0.001 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/fromnumeric.py:1253(resize)\n", " 2022 0.001 0.000 0.001 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/numeric.py:541(asanyarray)\n", " 20 0.001 0.000 0.001 0.000 {built-in method numpy.concatenate}\n", " 1 0.000 0.000 0.001 0.001 /usr/local/lib/python3.5/dist-packages/refnx/reflect/reflect_model.py:66(__init__)\n", " 23 0.000 0.000 0.001 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:359(__init__)\n", " 1 0.000 0.000 0.001 0.001 /usr/local/lib/python3.5/dist-packages/refnx/reflect/reflect_model.py:208(structure)\n", " 1 0.000 0.000 0.001 0.001 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:342(parameters)\n", " 1 0.000 0.000 0.001 0.001 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:350()\n", " 2002 0.000 0.000 0.000 0.000 /usr/lib/python3.5/collections/__init__.py:1074(append)\n", " 23 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/bounds.py:206(__init__)\n", " 15 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:338(possibly_create_parameter)\n", "6050/6048 0.000 0.000 0.000 0.000 {built-in method builtins.len}\n", " 4080 0.000 0.000 0.000 0.000 {built-in method builtins.isinstance}\n", " 4004 0.000 0.000 0.000 0.000 {method 'append' of 'list' objects}\n", " 23 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/bounds.py:219(_set_bounds)\n", " 4 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:395(__init__)\n", " 2002 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:561(parameters)\n", " 4 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:531(__init__)\n", " 66 0.000 0.000 0.000 0.000 {method 'reduce' of 'numpy.ufunc' objects}\n", " 23 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:219(__init__)\n", " 20 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/fromnumeric.py:197(reshape)\n", " 23 0.000 0.000 0.000 0.000 {method 'any' of 'numpy.ndarray' objects}\n", " 20 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/fromnumeric.py:1583(ravel)\n", " 23 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/_methods.py:42(_any)\n", " 1 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:223(overall_sld)\n", " 20 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/fromnumeric.py:54(_wrapfunc)\n", " 23 0.000 0.000 0.000 0.000 {method 'all' of 'numpy.ndarray' objects}\n", " 23 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/_methods.py:45(_all)\n", " 11 0.000 0.000 0.000 0.000 /usr/lib/python3.5/collections/__init__.py:1084(extend)\n", " 20 0.000 0.000 0.000 0.000 {method 'reshape' of 'numpy.ndarray' objects}\n", " 12 0.000 0.000 0.000 0.000 /usr/lib/python3.5/abc.py:178(__instancecheck__)\n", " 253 0.000 0.000 0.000 0.000 {built-in method builtins.setattr}\n", " 23 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:470(constraint)\n", " 23 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/bounds.py:14(__init__)\n", " 20 0.000 0.000 0.000 0.000 {method 'ravel' of 'numpy.ndarray' objects}\n", " 11 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:49(__init__)\n", " 43 0.000 0.000 0.000 0.000 {built-in method builtins.max}\n", " 46 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:421(value)\n", " 23 0.000 0.000 0.000 0.000 /usr/lib/python3.5/_weakrefset.py:70(__contains__)\n", " 12 0.000 0.000 0.000 0.000 /usr/lib/python3.5/collections/__init__.py:1025(__init__)\n", " 23 0.000 0.000 0.000 0.000 {built-in method builtins.min}\n", " 23 0.000 0.000 0.000 0.000 /home/juan/.local/lib/python3.5/site-packages/scipy/_lib/_util.py:173(check_random_state)\n", " 1 0.000 0.000 0.000 0.000 {built-in method numpy.zeros}\n", " 1 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/numpy/core/numeric.py:594(ascontiguousarray)\n", " 11 0.000 0.000 0.000 0.000 {method 'extend' of 'list' objects}\n", " 15 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:525(is_parameter)\n", " 20 0.000 0.000 0.000 0.000 {built-in method builtins.getattr}\n", " 1 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:74(__init__)\n", " 4 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:455(__init__)\n", " 2 0.000 0.000 0.000 0.000 /usr/lib/python3.5/collections/__init__.py:1044(__len__)\n", " 1 0.000 0.000 0.000 0.000 {method 'format' of 'str' objects}\n", " 2 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/reflect_model.py:127(scale)\n", " 1 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:138(reverse_structure)\n", " 1 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:130(name)\n", " 23 0.000 0.000 0.000 0.000 {method 'items' of 'dict' objects}\n", " 1 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/analysis/parameter.py:271(__float__)\n", " 2 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/structure.py:335(components)\n", " 1 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/reflect_model.py:199(structure)\n", " 2 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/reflect_model.py:107(dq)\n", " 2 0.000 0.000 0.000 0.000 /usr/local/lib/python3.5/dist-packages/refnx/reflect/reflect_model.py:140(bkg)\n", " 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}\n", "\n", "\n", "\n" ] } ], "source": [ "refnx_results = profile_refnx_model(1000,Q_VALUES)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " - BornAgain's bottleneck is inside `{built-in method _libBornAgainCore.Simulation_runSimulation}` \n", " - Refnx's bottleneck is inside `{built-in method refnx.reflect._creflect.abeles}`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sanity check: be sure that the results from borh codes are consistent:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.title(\"$10^{3}$ Ti-Ni layers simulation\")\n", "plt.semilogy(Q_VALUES, 2.0 * np.abs(refnx_results-ba_results)/np.abs(refnx_results+ba_results), '.', \n", " label = \"$2 \\, |r_{BA} - r_{refnx}|/|r_{BA} + r_{refnx}|$\")\n", "plt.xlabel(\"Q\")\n", "plt.ylabel(\"Relative difference\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Time taken by a single simulation - 10 Ti-Ni bilayers\n", "\n", "The time spent on a single simulation is measured by repeating the same simulation many times. Timings should scale linearly with the number of repetitions. It is found that each simulation takes around **5 ms in BornAgain**, two times as long as Refnx." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "ba_t = []\n", "rfnx_t = []\n", "for n_repetitions in [500,600,700,800,900,1000,1250,1500,1750,2000]:\n", " ba_t0 = time.time()\n", " for i in range(n_repetitions):\n", " run_ba_model(N_LAYERS,THETA_VALUES)\n", " ba_tf = time.time()\n", " ba_t.append([n_repetitions, ba_tf-ba_t0])\n", " \n", " rfnx_t0 = time.time()\n", " for i in range(n_repetitions):\n", " run_refnx_model(N_LAYERS,Q_VALUES)\n", " rfnx_tf = time.time()\n", " rfnx_t.append([n_repetitions, rfnx_tf-rfnx_t0]) \n", " \n", "ba_t = np.asarray(ba_t)\n", "rfnx_t = np.asarray(rfnx_t)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(ba_t[:,0],ba_t[:,1]/rfnx_t[:,1],'o-')\n", "plt.xlabel(\"Number of repetitions\")\n", "plt.ylabel(\"$t_{BA} / t_{refnx}$\")\n", "plt.axhline(np.mean(ba_t[:,1]/rfnx_t[:,1]),ls='--',c='k')\n", "plt.grid()\n", "plt.title(\"\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7,7))\n", "plt.plot(ba_t[:,0], 2*rfnx_t[:,1],'k-.',label=\"$t = 2 \\, t_{rfnx}$\")\n", "plt.plot(ba_t[:,0],ba_t[:,1],'o-',label=\"BornAgain\")\n", "plt.plot(rfnx_t[:,0], rfnx_t[:,1],'o-',label=\"Refnx\")\n", "plt.xlabel(\"Number of repetitions\")\n", "plt.ylabel(\"$t \\, [s]$\")\n", "plt.legend()\n", "plt.grid()\n", "plt.title(\"\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(ba_t[:,0],ba_t[:,1]/ba_t[:,0],'o-', label = \"BornAgain\")\n", "plt.plot(rfnx_t[:,0],rfnx_t[:,1]/rfnx_t[:,0],'o-', label= \"Refnx\")\n", "plt.xlabel(\"Number of repetitions\")\n", "plt.ylabel(\"$t_{BA}$ / $N_{rep}$\")\n", "plt.axhline(np.mean(ba_t[:,1]/ba_t[:,0]),ls='--',c='k', label = \"$\\sim 0.005$\")\n", "plt.axhline(np.mean(rfnx_t[:,1]/rfnx_t[:,0]),ls=':',c='k', label = \"$\\sim 0.0025$\")\n", "plt.grid()\n", "plt.ylim([0,6e-3])\n", "plt.legend()\n", "plt.title(\"\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Timing as function of resolution - Number of $\\theta$ or $Q$ points" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "ba_t = []\n", "rfnx_t = []\n", "nPointsVals = [100,250,500,1000,2500,5000,10000,25000,50000,100000,250000,500000,10**6]\n", "for n_points in nPointsVals:\n", " theta_vals = np.linspace(0.0,10,n_points)\n", " q_vals = 4.0*np.pi*np.sin(theta_vals*np.pi/180.0)\n", " \n", " ba_t0 = time.time()\n", " run_ba_model(N_LAYERS,theta_vals)\n", " ba_tf = time.time()\n", " \n", " rfnx_t0 = time.time()\n", " run_refnx_model(N_LAYERS,q_vals)\n", " rfnx_tf = time.time()\n", " \n", " ba_t.append([n_points, ba_tf-ba_t0])\n", " rfnx_t.append([n_points, rfnx_tf-rfnx_t0]) \n", " \n", "ba_t = np.asarray(ba_t)\n", "rfnx_t = np.asarray(rfnx_t)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7,7))\n", "plt.semilogx(ba_t[:,0],ba_t[:,1]/rfnx_t[:,1],'o-')\n", "plt.xlabel(\"Number of Q / Theta points\")\n", "plt.ylabel(\"$t_{BA} / t_{refnx}$\")\n", "plt.axhline(np.mean(ba_t[:,1]/rfnx_t[:,1]),ls='--',c='k')\n", "plt.grid()\n", "plt.title(\"\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7,7))\n", "plt.plot(ba_t[:,0], 1.5*rfnx_t[:,1],'k-.',label=\"$t = 1.5 \\, t_{rfnx}$\")\n", "plt.plot(ba_t[:,0],ba_t[:,1],'o-',label=\"BornAgain\")\n", "plt.plot(rfnx_t[:,0], rfnx_t[:,1],'o-',label=\"Refnx\")\n", "plt.xticks([10**5,5*10**5,10**6])\n", "plt.xlabel(\"Number of Q/Theta points\")\n", "plt.ylabel(\"$t \\, [s]$\")\n", "plt.legend()\n", "plt.grid()\n", "plt.title(\"\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusion\n", "\n", "Bornagain is performing worse than Refnx in all three Reflectometry tests carried out in this notebook:\n", " - Time scaling with the number of layers\n", " - Time taken to run a simple simulation\n", " - Time scaling with the simulation resolution\n", " " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 2 }