{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 04-Graphing and analyzing data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.1 gnuplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`gnuplot` is one of the most widely used programs, and is available for a wide variety of platforms (even for Android!). It has a quick learning curve for simple graphs, but anything elaborate or requiring some serious computations, even if possible, gets to be quite difficult quickly. The current version of `gnuplot` is 5.2 and there is an excellent reference book:\n", "\n", " * gnuplot home page, including\n", " * the official user manual \n", " * a large collection of sample scripts\n", " * an inexpensive and very comprehensive e-book\n", "\n", "We have already seen some basic use in the previous part of the course. Here's a slightly more elaborate example which involves fitting and some annotation.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/home/esternin/5P10\n" ] } ], "source": [ "%cd ~/5P10" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# This loads the gnuplot kernel extension, for embedded gnuplot use\n", "%load_ext gnuplot_kernel\n", "%gnuplot inline pngcairo size 800,1200 font \"Palatino,16\"" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Writing VI.dat\n" ] } ], "source": [ "%%file VI.dat\n", "# V I,mA\n", " 0 0.468\n", " 1 0.405\n", " 2 0.342\n", " 3 0.279\n", " 4 0.216\n", " 5 0.153\n", " 6 0.090\n", " 6.4 0.064" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "stats 'VI.dat'\n", "\n", "* FILE: \n", " Records: 8\n", " Out of range: 0\n", " Invalid: 0\n", " Column headers: 0\n", " Blank: 0\n", " Data Blocks: 1\n", "\n", "* COLUMNS:\n", " Mean: 3.4250 0.2521\n", " Std Dev: 2.1827 0.1376\n", " Sample StdDev: 2.3335 0.1472\n", " Skewness: -0.1191 0.1168\n", " Kurtosis: 1.6791 1.6801\n", " Avg Dev: 1.9250 0.1214\n", " Sum: 27.4000 2.0170\n", " Sum Sq.: 131.9600 0.6601\n", "\n", " Mean Err.: 0.7717 0.0487\n", " Std Dev Err.: 0.5457 0.0344\n", " Skewness Err.: 0.8660 0.8660\n", " Kurtosis Err.: 1.7321 1.7321\n", "\n", " Minimum: 0.0000 [0] 0.0640 [7]\n", " Maximum: 6.4000 [7] 0.4680 [0]\n", " Quartile: 1.5000 0.1215\n", " Median: 3.5000 0.2475\n", " Quartile: 5.5000 0.3735\n", "\n", " Linear Model: y = -0.06306 x + 0.4681\n", " Slope: -0.06306 +- 4.241e-05\n", " Intercept: 0.4681 +- 0.0001723\n", " Correlation: r = -1\n", " Sum xy: 4.505\n", "\n", "fit P(v) 'VI.dat' using ($1):($1)*($2) via Vo,a,b\n", "iter chisq delta/lim lambda Vo a b \n", " 0 9.0276894603e+04 0.00e+00 1.68e+02 4.000000e+00 -1.500000e+01 8.500000e-01\n", " 1 7.7401581630e+03 -1.07e+06 1.68e+01 3.709145e+00 -4.870474e+00 8.539867e-01\n", " 2 1.4393124873e-01 -5.38e+09 1.68e+00 3.706914e+00 -8.241128e-02 8.560346e-01\n", " 3 1.8474236621e-04 -7.78e+07 1.68e-01 3.711613e+00 -6.232464e-02 8.621812e-01\n", " 4 1.1747302856e-05 -1.47e+06 1.68e-02 3.709792e+00 -6.319534e-02 8.692526e-01\n", " 5 1.1723193296e-05 -2.06e+02 1.68e-03 3.709757e+00 -6.320607e-02 8.693376e-01\n", " 6 1.1723193294e-05 -1.18e-05 1.68e-04 3.709757e+00 -6.320607e-02 8.693376e-01\n", "iter chisq delta/lim lambda Vo a b \n", "\n", "After 6 iterations the fit converged.\n", "final sum of squares of residuals : 1.17232e-05\n", "rel. change during last iteration : -1.18416e-10\n", "\n", "degrees of freedom (FIT_NDF) : 5\n", "rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.00153122\n", "variance of residuals (reduced chisquare) = WSSR/ndf : 2.34464e-06\n", "\n", "Final set of parameters Asymptotic Standard Error\n", "======================= ==========================\n", "Vo = 3.70976 +/- 0.002165 (0.05835%)\n", "a = -0.0632061 +/- 0.0001394 (0.2205%)\n", "b = 0.869338 +/- 0.0008429 (0.09696%)\n", "\n", "correlation matrix of the fit parameters:\n", " Vo a b \n", "Vo 1.000 \n", "a 0.422 1.000 \n", "b -0.245 -0.762 1.000 \n", "plot[0:6.5] [0.:1.2] 'VI.dat' using ($1):($1)*($2) with points pt 6 ps 1.25 t 'measured P=VI', [STATS_min_x:STATS_max_x] P(v) t sprintf(\"fit: %.2f(V-%.2f)^2+%.2f\",a,Vo,b), '+' using (Vo):(-0.4):(0):(0.4+b) with vectors t sprintf(\"P_{max} at V=%.2f V\",Vo)\n", "plot [0:6.5] [0:60] 'VI.dat' using ($1):($1)/($2) with points pt 6 ps 1.25 t 'measured R=V/I', [STATS_min_x:STATS_max_x] (v<=5.3 ? v**2/P(v) : NaN ) t 'fit: V^2/P', '+' using (Vo):(60):(0):(-60+Ro) with vectors ls 3 t sprintf(\"P_{max} at V=%.2f V\",Vo), '+' using (Vo):(Ro):(-Vo):(0) with vectors ls 3 t sprintf(\"at P_{max}, R=%.2f {/Symbol W}\",Ro)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%gnuplot\n", "## a sample script to demonstrate some more advanced features of gnuplot\n", "## By edward.sternin@brocku.ca\n", "## 2018.02\n", "\n", "## outside of the jupyter notebook, can use these lines instead of a separate data file,\n", "## and then use $DATA instead of every occurrence of 'VI.dat' below. It's a limitation of\n", "## jupyter, and not of gnuplot.\n", "\n", "#$DATA << EOD\n", "## V I,mA\n", "# 0 0.468\n", "# 1 0.405\n", "# 2 0.342\n", "# 3 0.279\n", "# 4 0.216\n", "# 5 0.153\n", "# 6 0.090\n", "# 6.4 0.064\n", "#EOD\n", "\n", "# scan through the data file\n", "stats 'VI.dat'\n", "# a few examples of useful values:\n", "#x_max=STATS_max_x\n", "#y_min=STATS_min_y\n", "#Npts=STATS_records\n", "# etc.\n", "\n", "## fit the data\n", "set dummy v\n", "P(v)=a*(v-Vo)**2+b\n", "Vo=4\n", "a=-15\n", "b=0.85\n", "# fit does NOT like zero starting values for any parameters, so do not skip the previous lines\n", "fit P(v) 'VI.dat' using ($1):($1)*($2) via Vo,a,b\n", "\n", "# two rows, one column is the layout of outputs for our multiple \"plot ...\" commands\n", "set multiplot layout 2,1\n", "\n", "## upper frame, P vs. V\n", "set xlabel 'V, Volts'\n", "set ylabel 'Power P=VI, mW'\n", "plot[0:6.5] [0.:1.2] 'VI.dat' using ($1):($1)*($2) with points pt 6 ps 1.25 t 'measured P=VI',\\\n", "\t[STATS_min_x:STATS_max_x] P(v) t sprintf(\"fit: %.2f(V-%.2f)^2+%.2f\",a,Vo,b),\\\n", "\t'+' using (Vo):(-0.4):(0):(0.4+b) with vectors t sprintf(\"P_{max} at V=%.2f V\",Vo)\n", "\n", "## lower frame, R vs. V\n", "Ro=Vo**2/b\n", "set xlabel 'V, Volts'\n", "set ylabel 'Resistance R=V/I, {/Symbol W}'\n", "plot [0:6.5] [0:60] 'VI.dat' using ($1):($1)/($2) with points pt 6 ps 1.25 t 'measured R=V/I',\\\n", "\t[STATS_min_x:STATS_max_x] (v<=5.3 ? v**2/P(v) : NaN ) t 'fit: V^2/P',\\\n", "\t'+' using (Vo):(60):(0):(-60+Ro) with vectors ls 3 t sprintf(\"P_{max} at V=%.2f V\",Vo),\\\n", "\t'+' using (Vo):(Ro):(-Vo):(0) with vectors ls 3 t sprintf(\"at P_{max}, R=%.2f {/Symbol W}\",Ro)\n", " \n", "unset multiplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "gnuplot also has some programming ability. Here's an example of a recursively-defined function. It plots a truncated FT decomposition of a square wave, to an arbitrary order of truncation:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "%gnuplot inline pngcairo size 800,600 font \"Palatino,16\"" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%gnuplot\n", "# for a clean start, as gnuplot may remember things from previous scripts\n", "reset\n", "\n", "# set parameters controlling the appearance of the graphs\n", "set xrange [-2.1*pi:2.1*pi]\n", "set yrange [-1.4:1.4]\n", "set samples 2001\n", "set key below\n", "set zeroaxis\n", "\n", "# define the Fourier series' expansion iteratively: sin(x)+sin(3x)/3+sin(5x)/5+...\n", "f(x,n) = (n==1) ? (4/pi)*sin(x) : f(x,n-1) + (4/pi)*sin((2*n-1)*x)/(2*n-1)\n", "\n", "# plot the original square wave, and a couple of interesting approximations\n", "plot sgn(sin(x)) t 'square wave' lw 2,\\\n", " f(x,1) t '3-term Fourier series',\\\n", " f(x,19) t '19-term Fourier series'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, there are also excellent plotting capabilities within `python`, `matlab/octave` and `maple` environments, all with much more sophisticated computational capabilities. We will learn these as we go along. However, the flexibility and the ability to generate both screen-friendly bitmap (e.g. PNG) plots and publication-quality scalable vector (SVG, Encapsulated PostScript, LaTeX, etc.) plots makes `gnuplot` (and/or `eXtrema`, see Section 4.3 below) useful additions to the scientific toolbox." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.2 Homework: analysis of the Cavendish experiment" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lord Cavendish was the designer of the original experiment that used a pair of lead spheres and a very sensitive torsional balance to measure the universal gravitational constant, $G$. A manual for a modern version of such a torsional balance is here. As described there, in Fig.18 on p.13, the following set of data was obtained. The distance to the board on which the position of the laser dot was recorded was $L=10.31$m.\n", "

\n", "Produce an eXtrema or a gnuplot macro that would plot and analyze the data, and calculate $G$ from it. It appears that a good fit would result from fitting $S(t)=S_0+Ae^{-(t-t_0)/\\tau}\\cos [\\omega (t-t_0)]$ to each segment of the experiment with $S_0$, $A$, $t_0$, $\\tau$ and $\\omega$ the parameters of the fit. Without knowing the exact geometry of the experiment, $\\Delta S$ between the two equilibrium positions cannot be used, but perhaps the oscillation period can be extracted and used in the analysis. Use the average of the two values obtained for both sections of the data.\n", "

\n", "A more careful examination reveals that there might be a small drift in the data. Model it by a small linear-in-time correction term, $\\alpha(t-t_0)$, and see if the precision of the fit improves. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Writing Cavendish.dat\n" ] } ], "source": [ "%%file Cavendish.dat\n", "# Cavendish experiment 2012-02-24\n", "## minutes, position_of_dot, cm\n", "\n", "# set spheres to one side at 11:45:00, 45 mins since the start\n", "45\t57.5\n", "45.5\t58\n", "46\t58.5\n", "46.5\t60.5\n", "47\t63\n", "47.5\t66\n", "48\t69\n", "48.5\t72\n", "49\t74.5\n", "49.5\t76.7\n", "50\t78\n", "50.5\t78.7\n", "51\t78.7\n", "51.5\t78\n", "52\t76.7\n", "52.5\t75.\n", "53\t73\n", "53.5\t70.8\n", "54\t69.2\n", "54.5\t67.7\n", "55\t66.8\n", "55.5\t66.4\n", "56\t66.5\n", "56.5\t67.1\n", "57\t68.1\n", "57.5\t69.2\n", "58\t70.7\n", "58.75\t73.2\n", "59\t73.8\n", "59.5\t74.8\n", "60\t75.6\n", "60.5\t76.1\n", "61\t76.1\n", "61.5\t75.8\n", "62\t75.1\n", "62.5\t74.2\n", "63\t73.2\n", "63.5\t72.2\n", "64\t71.5\n", "64.5\t70.7\n", "65\t70.1\n", "65.5\t69.9\n", "66\t69.9\n", "66.5\t70.1\n", "67\t70.6\n", "67.5\t71.2\n", "68\t72\n", "68.5\t72.7\n", "69\t73.4\n", "69.5\t74\n", "70\t74.2\n", "70.5\t74.6\n", "71\t74.7\n", "72\t74.1\n", "72.5\t73.8\t\n", "73\t73.2\n", "73.5\t72.8\n", "74\t72.2\n", "74.75\t71.8\n", "75\t71.6\n", "75.5\t71.5\n", "76\t71.4\n", "76.5\t71.6\n", "77\t72\n", "77.75\t72.6\n", "78\t72.8\n", "78.5\t73.1\n", "79\t73.5\n", "79.25\t73.7\n", "79.5\t73.9\n", "79.75\t74\n", "80\t74.1\n", "80.25\t74.1\n", "80.5\t74.1\n", "80.75\t74.1\n", "81\t74.1\n", "81.25\t74\n", "81.5\t74\n", "81.75\t74\n", "82\t73.8\n", "82.5\t73.7\n", "83\t73.4\n", "83.5\t73.1\n", "84\t72.9\n", "84.5\t72.7\n", "85.25\t72.7\n", "85.5\t72.7\n", "86\t72.6\n", "86.5\t72.6\n", "87\t72.7\n", "87.5\t72.8\n", "88\t73.1\n", "88.5\t73.3\n", "89\t73.6\n", "89.5\t73.7\n", "90\t73.8\n", "90.5\t74\n", "91\t74\n", "93\t73.8\n", "93.5\t73.6\n", "94\t73.5\n", "98\t73.3\n", "\n", "\n", "# reverse the spheres at 13:25:00, 145 mins since the start\n", "145\t75.5\n", "145.5\t73.8\n", "146\t69.8\n", "146.5\t61.5\n", "147\t55\n", "147.5\t46.5\n", "148\t36.5\n", "148.5\t31\n", "149\t25.8\n", "149.5\t22.6\n", "150\t21.6\n", "150.5\t23\n", "151\t26\n", "151.5\t30.8\n", "152\t36.6\n", "152.5\t42.5\n", "153\t48.1\n", "153.5\t53.2\n", "154\t57.3\n", "154.5\t59.5\n", "155\t60.2\n", "155.5\t59.7\n", "155.75\t58.8\n", "156\t57.7\n", "156.25\t56.2\n", "156.5\t54.5\n", "156.75\t52.8\n", "157\t50.8\n", "157.25\t48.7\n", "157.5\t46.5\n", "157.75\t44.5\n", "158\t42.5\n", "158.25\t40.6\n", "158.5\t38.8\n", "158.75\t37.2\n", "159\t35.9\n", "159.25\t34.8\n", "159.5\t34\n", "159.75\t33.6\n", "160\t33.2\n", "160.25\t33.2\n", "160.5\t33.6\n", "160.75\t34.1\n", "161\t35\n", "161.25\t35.9\n", "161.5\t37\n", "161.75\t38.2\n", "162\t39.5\n", "162.5\t42.5\n", "163\t45.3\n", "163.5\t48\n", "164\t50.1\n", "164.5\t51.5\n", "165\t52.2\n", "165.5\t52.1\n", "166\t51.2\n", "166.5\t49.8\n", "167\t48\n", "167.5\t45.9\n", "168\t43.8\n", "168.5\t42\n", "169\t40.5\n", "169.5\t39.2\n", "170\t38.9\n", "170.75\t39.2\n", "171\t39.7\n", "171.5\t40.6\n", "172\t41.9\n", "172.5\t43.6\n", "173\t44.9\n", "173.75\t46.9\n", "174\t47.5\n", "174.5\t48.2\n", "175\t48.7\n", "175.5\t48.7\n", "176\t48.4\n", "176.5\t47.7\n", "177\t47\n", "177.5\t46\n", "178\t45\n", "178.5\t44\n", "179\t43.1\n", "179.5\t42.7\n", "180\t42.3\n", "180.5\t42.1\n", "181\t42.5\n", "181.5\t42.9\n", "182\t43.4\n", "182.5\t44.1\n", "183\t44.7\n", "183.5\t45.5\n", "184\t46\n", "184.5\t46.4\n", "185\t46.7\n", "185.5\t46.7\n", "186\t46.7\n", "186.5\t46.4\n", "187\t46.1\n", "187.5\t45.6\n", "188\t45.2\n", "188.5\t44.7\n", "189\t44.3\n", "189.5\t44.1\n", "190\t43.9\n", "191\t44\n", "191.5\t44.2\n", "192\t44.6\n", "192.5\t44.7\n", "193\t45\n", "193.5\t45.4\n", "194\t45.7\n", "194.5\t45.9\n", "195\t46.1\n", "195.5\t46.1\n", "196\t46.1\n", "196.5\t46\n", "197\t45.9\n", "197.5\t45.6\n", "198\t45.4\n", "198.5\t45.2\n", "199\t44.9\n", "199.5\t44.7\n", "200\t44.5\n", "202.5\t44.6\n", "204\t45.4\n", "205\t45.7\n", "217.5\t45.6\n", "217.75\t45.4\n", "218\t45.4\n", "218.5\t45.3\n", "219\t45.3\n", "219.5\t45.4\n", "220\t45.5" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "%gnuplot inline pngcairo size 640,480 font \"Palatino,16\"" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%gnuplot\n", "# for a clean start, as gnuplot may remember things from previous scripts\n", "reset\n", "\n", "#plot \"Cavendish.dat\" with lines\n", "\n", "#plot \"Cavendish.dat\" using ($1 < 140 ? $1: NaN ):($2/100) w l title \"forward\",\\\n", "# \"Cavendish.dat\" using ($1 > 140 ? $1: NaN ):($2/100) w l title \"reversed\"\n", "\n", "### requires that TWO blank lines separate data into \"blocks\" in the data file\n", "plot \\\n", " \"Cavendish.dat\" index 0 with points title \"forward\",\\\n", " \"\" index 1 with points title \"reverse\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.3 eXtrema\n", "\n", "The same, of course, can be done in `eXtrema`:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Writing Cavendish.pcm\n" ] } ], "source": [ "%%file Cavendish.pcm\n", "read /work/5P10/Cavendish.dat t,x\n", "x=x/100 ! cm -> m\n", "m2s=60 ! mins to secs\n", "\n", "clear\n", "defaults\n", "Pi=2.*acos(0.)\n", "\n", "scales 40 220 0 0 0 0\n", "set\n", " xlabel `t, min'\n", " ylabel `x(t), m'\n", " plotsymbol -15\n", " %plotsymbolsize 0.75\n", " plotsymbolcolor purple\n", "\n", "graph t,x\n", "hardcopy\\png Cavendish.png" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Run `eXtrema` and enter `@Cavendish` command to (re-)generate the plot before executing the next cell to include the output in this notebook. Unfortunately, `extrema_kernel` does not exist, so we cannot run `eXtrema` within the noteboolk directly. If you execute a cell like this\n", "```\n", "! extrema\n", "```\n", "`eXtrema` will launch, but you will need to quit it before you can return to this jupyter notebook, so it's best to launch it separately, outside of this notebook. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, Image\n", "display(Image('Cavendish.png'))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "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": "3.6.8" }, "toc": { "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "toc_cell": false, "toc_position": {}, "toc_section_display": "none", "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }