From bf9abcfdfdeb69d8b70e64ee6aafe18e06dab89a Mon Sep 17 00:00:00 2001 From: jaseg Date: Thu, 25 Mar 2021 17:25:03 +0100 Subject: [PATCH] Accelerometer measurements: Update notebook with latest, more accurate data --- .../Accelerometer Data Analysis.ipynb | 1568 +++++++++++++++-- .../fig-acc-theory-meas-run50.pdf | Bin 0 -> 17415 bytes .../sensor-analysis/fig-acc-theory-meas.pdf | Bin 0 -> 18126 bytes .../fig-acc-trace-stacked-run50.pdf | Bin 0 -> 67959 bytes .../fig-acc-trace-steps-run50.pdf | Bin 0 -> 103833 bytes .../fig-acc-trace-steps-run52.pdf | Bin 0 -> 83704 bytes .../sensor-analysis/fig-comms-delays.pdf | Bin 0 -> 13791 bytes prototype/sensor-analysis/test_run.sqlite3 | Bin 4272128 -> 12140544 bytes 8 files changed, 1455 insertions(+), 113 deletions(-) create mode 100644 prototype/sensor-analysis/fig-acc-theory-meas-run50.pdf create mode 100644 prototype/sensor-analysis/fig-acc-theory-meas.pdf create mode 100644 prototype/sensor-analysis/fig-acc-trace-stacked-run50.pdf create mode 100644 prototype/sensor-analysis/fig-acc-trace-steps-run50.pdf create mode 100644 prototype/sensor-analysis/fig-acc-trace-steps-run52.pdf create mode 100644 prototype/sensor-analysis/fig-comms-delays.pdf diff --git a/prototype/sensor-analysis/Accelerometer Data Analysis.ipynb b/prototype/sensor-analysis/Accelerometer Data Analysis.ipynb index 72f13c8..bc59667 100644 --- a/prototype/sensor-analysis/Accelerometer Data Analysis.ipynb +++ b/prototype/sensor-analysis/Accelerometer Data Analysis.ipynb @@ -61,7 +61,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 97, "metadata": { "scrolled": false }, @@ -1058,13 +1058,16 @@ " seq, *data, _crc = struct.unpack('" + "" ], "text/plain": [ "" @@ -2120,96 +2123,176 @@ "name": "stdout", "output_type": "stream", "text": [ - "Found sensor offset: 0.57 g / 5.55 m/s^2\n", + "Found sensor offset: -3.59 g / -35.21 m/s^2\n", + "Found sensor scale: -0.014\n", "\n", - "Centrifugal acceleration at 3.12 Hz:\n", - " Theory: 2.16 g / 21.14 m/s^2\n", - " Measurement: 1.90 g / 18.586194313627637 m/s^2\n", - " Rel. Error: 13.72 %\n", - " Abs. Error: 0.26 g / 2.55 m/s^2\n", + "Centrifugal acceleration at 1.58 Hz:\n", + " Theory: 0.55 g / 5.42 m/s^2\n", + " Measurement: 0.51 g / 5.028966965088801 m/s^2\n", + " Rel. Error: 7.78 %\n", + " Abs. Error: 0.04 g / 0.39 m/s^2\n", "\n", - "Centrifugal acceleration at 5.55 Hz:\n", - " Theory: 6.82 g / 66.88 m/s^2\n", - " Measurement: 6.60 g / 64.67817413725541 m/s^2\n", - " Rel. Error: 3.41 %\n", - " Abs. Error: 0.22 g / 2.20 m/s^2\n", + "Centrifugal acceleration at 2.11 Hz:\n", + " Theory: 0.99 g / 9.67 m/s^2\n", + " Measurement: 0.93 g / 9.162411313131324 m/s^2\n", + " Rel. Error: 5.51 %\n", + " Abs. Error: 0.05 g / 0.50 m/s^2\n", "\n", - "Centrifugal acceleration at 8.20 Hz:\n", - " Theory: 14.89 g / 146.00 m/s^2\n", - " Measurement: 14.82 g / 145.35641444809548 m/s^2\n", - " Rel. Error: 0.44 %\n", - " Abs. Error: 0.07 g / 0.64 m/s^2\n", + "Centrifugal acceleration at 2.85 Hz:\n", + " Theory: 1.80 g / 17.64 m/s^2\n", + " Measurement: 1.75 g / 17.17632651666313 m/s^2\n", + " Rel. Error: 2.68 %\n", + " Abs. Error: 0.05 g / 0.46 m/s^2\n", "\n", - "Centrifugal acceleration at 10.20 Hz:\n", - " Theory: 23.04 g / 225.90 m/s^2\n", - " Measurement: 23.11 g / 226.6766272456559 m/s^2\n", - " Rel. Error: -0.34 %\n", - " Abs. Error: -0.08 g / -0.77 m/s^2\n", + "Centrifugal acceleration at 3.30 Hz:\n", + " Theory: 2.41 g / 23.65 m/s^2\n", + " Measurement: 2.38 g / 23.327857994031824 m/s^2\n", + " Rel. Error: 1.36 %\n", + " Abs. Error: 0.03 g / 0.32 m/s^2\n", "\n", - "Centrifugal acceleration at 12.50 Hz:\n", - " Theory: 34.60 g / 339.27 m/s^2\n", - " Measurement: 34.80 g / 341.26606334638393 m/s^2\n", - " Rel. Error: -0.59 %\n", - " Abs. Error: -0.20 g / -2.00 m/s^2\n", + "Centrifugal acceleration at 4.58 Hz:\n", + " Theory: 4.64 g / 45.55 m/s^2\n", + " Measurement: 4.61 g / 45.215765910987294 m/s^2\n", + " Rel. Error: 0.73 %\n", + " Abs. Error: 0.03 g / 0.33 m/s^2\n", "\n", - "Centrifugal acceleration at 15.60 Hz:\n", - " Theory: 53.88 g / 528.41 m/s^2\n", - " Measurement: 51.75 g / 507.51233891199473 m/s^2\n", - " Rel. Error: 4.12 %\n", - " Abs. Error: 2.13 g / 20.90 m/s^2\n", + "Centrifugal acceleration at 5.03 Hz:\n", + " Theory: 5.60 g / 54.94 m/s^2\n", + " Measurement: 5.60 g / 54.879353326521255 m/s^2\n", + " Rel. Error: 0.10 %\n", + " Abs. Error: 0.01 g / 0.06 m/s^2\n", "\n", - "Centrifugal acceleration at 19.20 Hz:\n", - " Theory: 81.62 g / 800.43 m/s^2\n", - " Measurement: 82.09 g / 805.0345119987545 m/s^2\n", - " Rel. Error: -0.57 %\n", - " Abs. Error: -0.47 g / -4.60 m/s^2\n", + "Centrifugal acceleration at 5.64 Hz:\n", + " Theory: 7.04 g / 69.07 m/s^2\n", + " Measurement: 7.07 g / 69.32805905894263 m/s^2\n", + " Rel. Error: -0.37 %\n", + " Abs. Error: -0.03 g / -0.26 m/s^2\n", "\n", - "Centrifugal acceleration at 11.60 Hz:\n", - " Theory: 29.79 g / 292.17 m/s^2\n", - " Measurement: 29.71 g / 291.36536349393447 m/s^2\n", - " Rel. Error: 0.28 %\n", - " Abs. Error: 0.08 g / 0.81 m/s^2\n", + "Centrifugal acceleration at 6.27 Hz:\n", + " Theory: 8.70 g / 85.36 m/s^2\n", + " Measurement: 8.73 g / 85.58819751832274 m/s^2\n", + " Rel. Error: -0.27 %\n", + " Abs. Error: -0.02 g / -0.23 m/s^2\n", "\n", - "Centrifugal acceleration at 6.49 Hz:\n", - " Theory: 9.33 g / 91.46 m/s^2\n", - " Measurement: 9.21 g / 90.28568973827844 m/s^2\n", - " Rel. Error: 1.30 %\n", - " Abs. Error: 0.12 g / 1.17 m/s^2\n", + "Centrifugal acceleration at 6.92 Hz:\n", + " Theory: 10.60 g / 103.98 m/s^2\n", + " Measurement: 10.61 g / 104.02675841921068 m/s^2\n", + " Rel. Error: -0.05 %\n", + " Abs. Error: -0.01 g / -0.05 m/s^2\n", + "\n", + "Centrifugal acceleration at 7.52 Hz:\n", + " Theory: 12.52 g / 122.79 m/s^2\n", + " Measurement: 12.55 g / 123.06283558349547 m/s^2\n", + " Rel. Error: -0.22 %\n", + " Abs. Error: -0.03 g / -0.27 m/s^2\n", + "\n", + "Centrifugal acceleration at 8.11 Hz:\n", + " Theory: 14.56 g / 142.81 m/s^2\n", + " Measurement: 14.60 g / 143.1378855707173 m/s^2\n", + " Rel. Error: -0.23 %\n", + " Abs. Error: -0.03 g / -0.33 m/s^2\n", + "\n", + "Centrifugal acceleration at 8.83 Hz:\n", + " Theory: 17.26 g / 169.29 m/s^2\n", + " Measurement: 17.29 g / 169.5411921794013 m/s^2\n", + " Rel. Error: -0.15 %\n", + " Abs. Error: -0.03 g / -0.25 m/s^2\n", + "\n", + "Centrifugal acceleration at 9.34 Hz:\n", + " Theory: 19.32 g / 189.42 m/s^2\n", + " Measurement: 19.33 g / 189.55282064313795 m/s^2\n", + " Rel. Error: -0.07 %\n", + " Abs. Error: -0.01 g / -0.14 m/s^2\n", + "\n", + "Centrifugal acceleration at 10.08 Hz:\n", + " Theory: 22.50 g / 220.62 m/s^2\n", + " Measurement: 22.64 g / 222.01323904535036 m/s^2\n", + " Rel. Error: -0.63 %\n", + " Abs. Error: -0.14 g / -1.39 m/s^2\n", + "\n", + "Centrifugal acceleration at 10.92 Hz:\n", + " Theory: 26.40 g / 258.92 m/s^2\n", + " Measurement: 26.44 g / 259.29404953313013 m/s^2\n", + " Rel. Error: -0.14 %\n", + " Abs. Error: -0.04 g / -0.37 m/s^2\n", + "\n", + "Centrifugal acceleration at 11.92 Hz:\n", + " Theory: 31.46 g / 308.51 m/s^2\n", + " Measurement: 31.43 g / 308.2330187199834 m/s^2\n", + " Rel. Error: 0.09 %\n", + " Abs. Error: 0.03 g / 0.28 m/s^2\n", + "\n", + "Centrifugal acceleration at 13.24 Hz:\n", + " Theory: 38.81 g / 380.63 m/s^2\n", + " Measurement: 38.83 g / 380.7555308252864 m/s^2\n", + " Rel. Error: -0.03 %\n", + " Abs. Error: -0.01 g / -0.13 m/s^2\n", + "\n", + "Centrifugal acceleration at 14.10 Hz:\n", + " Theory: 44.02 g / 431.68 m/s^2\n", + " Measurement: 44.00 g / 431.4606825509938 m/s^2\n", + " Rel. Error: 0.05 %\n", + " Abs. Error: 0.02 g / 0.22 m/s^2\n", + "\n", + "Centrifugal acceleration at 15.18 Hz:\n", + " Theory: 51.02 g / 500.34 m/s^2\n", + " Measurement: 50.93 g / 499.4553254402874 m/s^2\n", + " Rel. Error: 0.18 %\n", + " Abs. Error: 0.09 g / 0.89 m/s^2\n", + "\n", + "Centrifugal acceleration at 16.39 Hz:\n", + " Theory: 59.48 g / 583.28 m/s^2\n", + " Measurement: 59.48 g / 583.3128315154445 m/s^2\n", + " Rel. Error: -0.00 %\n", + " Abs. Error: -0.00 g / -0.03 m/s^2\n", "\n" ] } ], "source": [ - "t, y, _1, _2 = load_run(40, plot=False)\n", + "t, y, _1, _2 = load_run(50, plot=False)\n", "\n", "ivl_start, ivl_end = 0.5, 1\n", "ivl_start, ivl_end = int(ivl_start*60*sampling_rate), int(ivl_end*60*sampling_rate)\n", "\n", - "fig, ax = plt.subplots(figsize=(5, 3))\n", + "fig, ax = plt.subplots(figsize=(8, 5))\n", "#ax.axvspan(ivl_start/60/sampling_rate, ivl_end/60/sampling_rate, color='orange', alpha=0.5)\n", - " \n", - "plot_measurements(ax, t, y)\n", "\n", - "le_data = [(0, 50, 3.12), (1,50,5.55), (2,40, 8.2), (3, 30, 10.2), (4,15, 12.5), (5,10, 15.6),\n", - " (6,10, 19.2), (7,11, 11.6), (8,15, 6.49)]\n", - "avg_include = [True, True, True, True, True, False, True, True, True]\n", + "# Run 40\n", + "#le_data = [(0, 50, 3.12), (1,50,5.55), (2,40, 8.2), (3, 30, 10.2), (4,15, 12.5), (5,10, 15.6),\n", + "# (6,10, 19.2), (7,11, 11.6), (8,15, 6.49)]\n", + "# avg_include = [True, True, True, True, True, False, True, True, True]\n", + "\n", + "# Run 50\n", + "le_data = [\n", + " 1.58, 2.11, 2.85, 3.30, 4.58, 5.03, 5.64, 6.27, 6.92, 7.52, 8.11, 8.83, 9.34, 10.08, 10.92, 11.92,\n", + " 13.24, 14.10, 15.18, 16.39\n", + "]\n", + "le_data = [ (i*90 + 45, i*90 + 45 + 40, f) for i, f in enumerate(le_data) ]\n", + "\n", + "# Run 52\n", + "#le_data = [ 3.21, 4.10, 5.09, 6.18, 7.04, 8.13, 9.41, 10.37, 11.44, 12.64, 14.06, 15.10, 16.07, 17.33 ]\n", + "#le_data = [ (i*90 + 45, i*90 + 45 + 30, f) for i, f in enumerate(le_data) ]\n", + "\n", + "avg_include = [True] * len(le_data)\n", + "\n", "acc_theory = []\n", "acc_meas = []\n", "\n", - "for ts_m, ts_s, f_actual in le_data:\n", + "#for ts_m, ts_s, f_actual in le_data:\n", + "for ts_start, ts_end, f_actual in le_data:\n", " omegan = 2*np.pi*f_actual # angular velocity\n", " acc = omegan**2 * r_mems # m/s^2\n", " acc_theory.append(acc / g)\n", " \n", - " \n", - " ts_abs = ts_m + ts_s/60\n", - " ivl_w = 0.5\n", - " \n", " #ax.axvspan(ts_abs-ivl_w/2, ts_abs+ivl_w/2, zorder=1, color='red', alpha=0.1)\n", " \n", - " idx = (ts_abs - ivl_w/2 < t) & (t < ts_abs + ivl_w/2)\n", + " idx = (ts_start/60 < t) & (t < ts_end/60)\n", " ivl_avg = (y / mems_lsb_per_g)[idx].mean()\n", " acc_meas.append(ivl_avg)\n", + " \n", + "for (_1, prev_end, _2), (next_start, _3, _4) in zip([(None, 0, None)] + le_data, le_data + [(len(le_data)*90+45, None, None)]):\n", + " ax.axvspan(prev_end/60, next_start/60, zorder=1, color='black', alpha=0.05)\n", "\n", "# Calculate offset correction. The offset is due to manufacturing imperfections inherent to the device.\n", "# Note that while in the \"0Hz\" still part of the line at the beginning and end of the trace we see a\n", @@ -2222,18 +2305,27 @@ "# The sensor's nonlinearity error is specified as +/- 2 %FS and we're well within that as well.\n", "\n", "def fun(x, *args):\n", - " return np.sqrt(np.mean([ (meas - x[0] - theory)**2\n", + " return np.sqrt(np.mean([ ((meas - x[0])*x[1] - theory)**2\n", " for theory, meas, inc in zip(acc_theory, acc_meas, avg_include)\n", " if inc ]))\n", - "res = scipy.optimize.minimize(fun, 1)\n", - "sensor_offx = np.abs(res.x[0])\n", + "res = scipy.optimize.minimize(fun, (1, 1))\n", + "sensor_offx = res.x[0]\n", + "sensor_scale = np.abs(res.x[1])\n", "\n", "print(f'Found sensor offset: {sensor_offx:.2f} g / {sensor_offx*g:.2f} m/s^2')\n", - "print()\n", + "print(f'Found sensor scale: {sensor_scale-1.0:+.3f}')\n", + "print() \n", "\n", + "plot_measurements(ax, t, y, offset=sensor_offx, scale=sensor_scale, grid=False, label='Accelerometer readings')\n", + "\n", + "ax.axhline(0, linewidth=1, color='black', alpha=0.5, zorder=1)\n", + "\n", + "label = {'label': 'Theoretical results from direct frequency measurement'}\n", "for theory, meas, (_1, _2, f_actual) in zip(acc_theory, acc_meas, le_data):\n", - " ax.axhline(theory - sensor_offx, color='orange', alpha=1, zorder=1)\n", - " meas += sensor_offx\n", + " ax.axhline(theory, color='orange', alpha=1, zorder=1, linewidth=1, **label)\n", + " label = {}\n", + " meas = (meas - sensor_offx) * sensor_scale\n", + " #ax.axhline(meas, color='red', alpha=0.2, zorder=1)\n", " \n", " print(f'Centrifugal acceleration at {f_actual:.2f} Hz:')\n", " print(f' Theory: {theory:.2f} g / {theory*g:.2f} m/s^2')\n", @@ -2242,13 +2334,14 @@ " print(f' Abs. Error: {theory-meas:.2f} g / {(theory-meas)*g:.2f} m/s^2')\n", " print()\n", "\n", + "ax.legend(loc='upper left')\n", "fig.tight_layout()\n", - "fig.savefig('fig-acc-trace-steps.pdf')" + "fig.savefig('fig-acc-trace-steps-run50.pdf')" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 84, "metadata": {}, "outputs": [ { @@ -3212,7 +3305,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -3224,10 +3317,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 22, + "execution_count": 84, "metadata": {}, "output_type": "execute_result" } @@ -3241,8 +3334,10 @@ "acc_meas_sorted = [ acc for _f, acc in sorted(zip(freqs, acc_meas)) ]\n", "freqs = sorted(freqs)\n", "\n", + "acc_meas_sorted = (np.array(acc_meas_sorted) - sensor_offx) * sensor_scale\n", + "\n", "ax.plot(freqs, acc_theory_sorted, label='Theory')\n", - "ax.plot(freqs, acc_meas_sorted, label='Measurements')\n", + "ax.plot(freqs, acc_meas_sorted, '+', label='Measurements')\n", " \n", "ax.grid()\n", "ax.set_xlabel('$f\\;[Hz]$')\n", @@ -3256,12 +3351,1228 @@ "ax3.set_ylim(y1*g, y2*g)\n", "ax3.set_ylabel('$a\\;[ms^-1]$')\n", "\n", - "ax.legend()" + "ax.legend()\n", + "\n", + "ax.savefig('fig-acc-theory-meas-run50.pdf')" ] }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 125, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading run #50 with 79193 packets total, 2623 distinct over 2102.6222710609436s\n", + "Packet length: 40\n", + "Very approximate lower bound on baudrate: 129032.25806451612 bd\n", + "Sequence number range: 2121 ... 4755\n" + ] + }, + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "/* global mpl */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function () {\n", + " if (typeof WebSocket !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof MozWebSocket !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert(\n", + " 'Your browser does not have WebSocket support. 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' +\n", + " 'Performance may be slow.';\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = document.createElement('div');\n", + " this.root.setAttribute('style', 'display: inline-block');\n", + " this._root_extra_style(this.root);\n", + "\n", + " parent_element.appendChild(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message('supports_binary', { value: fig.supports_binary });\n", + " fig.send_message('send_image_mode', {});\n", + " if (fig.ratio !== 1) {\n", + " fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n", + " }\n", + " fig.send_message('refresh', {});\n", + " };\n", + "\n", + " this.imageObj.onload = function () {\n", + " if (fig.image_mode === 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function () {\n", + " fig.ws.close();\n", + " };\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "};\n", + "\n", + "mpl.figure.prototype._init_header = function () {\n", + " var titlebar = document.createElement('div');\n", + " titlebar.classList =\n", + " 'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n", + " var titletext = document.createElement('div');\n", + " titletext.classList = 'ui-dialog-title';\n", + " titletext.setAttribute(\n", + " 'style',\n", + " 'width: 100%; text-align: center; padding: 3px;'\n", + " );\n", + " titlebar.appendChild(titletext);\n", + " this.root.appendChild(titlebar);\n", + " this.header = titletext;\n", + "};\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n", + "\n", + "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n", + "\n", + "mpl.figure.prototype._init_canvas = function () {\n", + " var fig = this;\n", + "\n", + " var canvas_div = (this.canvas_div = document.createElement('div'));\n", + " canvas_div.setAttribute(\n", + " 'style',\n", + " 'border: 1px solid #ddd;' +\n", + " 'box-sizing: content-box;' +\n", + " 'clear: both;' +\n", + " 'min-height: 1px;' +\n", + " 'min-width: 1px;' +\n", + " 'outline: 0;' +\n", + " 'overflow: hidden;' +\n", + " 'position: relative;' +\n", + " 'resize: both;'\n", + " );\n", + "\n", + " function on_keyboard_event_closure(name) {\n", + " return function (event) {\n", + " return fig.key_event(event, name);\n", + " };\n", + " }\n", + "\n", + " canvas_div.addEventListener(\n", + " 'keydown',\n", + " on_keyboard_event_closure('key_press')\n", + " );\n", + " canvas_div.addEventListener(\n", + " 'keyup',\n", + " on_keyboard_event_closure('key_release')\n", + " );\n", + "\n", + " this._canvas_extra_style(canvas_div);\n", + " this.root.appendChild(canvas_div);\n", + "\n", + " var canvas = (this.canvas = document.createElement('canvas'));\n", + " canvas.classList.add('mpl-canvas');\n", + " canvas.setAttribute('style', 'box-sizing: content-box;');\n", + "\n", + " this.context = canvas.getContext('2d');\n", + "\n", + " var backingStore =\n", + " this.context.backingStorePixelRatio ||\n", + " this.context.webkitBackingStorePixelRatio ||\n", + " this.context.mozBackingStorePixelRatio ||\n", + " this.context.msBackingStorePixelRatio ||\n", + " this.context.oBackingStorePixelRatio ||\n", + " this.context.backingStorePixelRatio ||\n", + " 1;\n", + "\n", + " this.ratio = (window.devicePixelRatio || 1) / backingStore;\n", + "\n", + " var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n", + " 'canvas'\n", + " ));\n", + " rubberband_canvas.setAttribute(\n", + " 'style',\n", + " 'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n", + " );\n", + "\n", + " // Apply a ponyfill if ResizeObserver is not implemented by browser.\n", + " if (this.ResizeObserver === undefined) {\n", + " if (window.ResizeObserver !== undefined) {\n", + " this.ResizeObserver = window.ResizeObserver;\n", + " } else {\n", + " var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n", + " this.ResizeObserver = obs.ResizeObserver;\n", + " }\n", + " }\n", + "\n", + " this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n", + " var nentries = entries.length;\n", + " for (var i = 0; i < nentries; i++) {\n", + " var entry = entries[i];\n", + " var width, height;\n", + " if (entry.contentBoxSize) {\n", + " if (entry.contentBoxSize instanceof Array) {\n", + " // Chrome 84 implements new version of spec.\n", + " width = entry.contentBoxSize[0].inlineSize;\n", + " height = entry.contentBoxSize[0].blockSize;\n", + " } else {\n", + " // Firefox implements old version of spec.\n", + " width = entry.contentBoxSize.inlineSize;\n", + " height = entry.contentBoxSize.blockSize;\n", + " }\n", + " } else {\n", + " // Chrome <84 implements even older version of spec.\n", + " width = entry.contentRect.width;\n", + " height = entry.contentRect.height;\n", + " }\n", + "\n", + " // Keep the size of the canvas and rubber band canvas in sync with\n", + " // the canvas container.\n", + " if (entry.devicePixelContentBoxSize) {\n", + " // Chrome 84 implements new version of spec.\n", + " canvas.setAttribute(\n", + " 'width',\n", + " entry.devicePixelContentBoxSize[0].inlineSize\n", + " );\n", + " canvas.setAttribute(\n", + " 'height',\n", + " entry.devicePixelContentBoxSize[0].blockSize\n", + " );\n", + " } else {\n", + " canvas.setAttribute('width', width * fig.ratio);\n", + " canvas.setAttribute('height', height * fig.ratio);\n", + " }\n", + " canvas.setAttribute(\n", + " 'style',\n", + " 'width: ' + width + 'px; height: ' + height + 'px;'\n", + " );\n", + "\n", + " rubberband_canvas.setAttribute('width', width);\n", + " rubberband_canvas.setAttribute('height', height);\n", + "\n", + " // And update the size in Python. We ignore the initial 0/0 size\n", + " // that occurs as the element is placed into the DOM, which should\n", + " // otherwise not happen due to the minimum size styling.\n", + " if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n", + " fig.request_resize(width, height);\n", + " }\n", + " }\n", + " });\n", + " this.resizeObserverInstance.observe(canvas_div);\n", + "\n", + " function on_mouse_event_closure(name) {\n", + " return function (event) {\n", + " return fig.mouse_event(event, name);\n", + " };\n", + " }\n", + "\n", + " rubberband_canvas.addEventListener(\n", + " 'mousedown',\n", + " on_mouse_event_closure('button_press')\n", + " );\n", + " rubberband_canvas.addEventListener(\n", + " 'mouseup',\n", + " on_mouse_event_closure('button_release')\n", + " );\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband_canvas.addEventListener(\n", + " 'mousemove',\n", + " on_mouse_event_closure('motion_notify')\n", + " );\n", + "\n", + " rubberband_canvas.addEventListener(\n", + " 'mouseenter',\n", + " on_mouse_event_closure('figure_enter')\n", + " );\n", + " rubberband_canvas.addEventListener(\n", + " 'mouseleave',\n", + " on_mouse_event_closure('figure_leave')\n", + " );\n", + "\n", + " canvas_div.addEventListener('wheel', function (event) {\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " on_mouse_event_closure('scroll')(event);\n", + " });\n", + "\n", + " canvas_div.appendChild(canvas);\n", + " canvas_div.appendChild(rubberband_canvas);\n", + "\n", + " this.rubberband_context = rubberband_canvas.getContext('2d');\n", + " this.rubberband_context.strokeStyle = '#000000';\n", + "\n", + " this._resize_canvas = function (width, height, forward) {\n", + " if (forward) {\n", + " canvas_div.style.width = width + 'px';\n", + " canvas_div.style.height = height + 'px';\n", + " }\n", + " };\n", + "\n", + " // Disable right mouse context menu.\n", + " this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n", + " event.preventDefault();\n", + " return false;\n", + " });\n", + "\n", + " function set_focus() {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "};\n", + "\n", + "mpl.figure.prototype._init_toolbar = function () {\n", + " var fig = this;\n", + "\n", + " var toolbar = document.createElement('div');\n", + " toolbar.classList = 'mpl-toolbar';\n", + " this.root.appendChild(toolbar);\n", + "\n", + " function on_click_closure(name) {\n", + " return function (_event) {\n", + " return fig.toolbar_button_onclick(name);\n", + " };\n", + " }\n", + "\n", + " function on_mouseover_closure(tooltip) {\n", + " return function (event) {\n", + " if (!event.currentTarget.disabled) {\n", + " return fig.toolbar_button_onmouseover(tooltip);\n", + " }\n", + " };\n", + " }\n", + "\n", + " fig.buttons = {};\n", + " var buttonGroup = document.createElement('div');\n", + " buttonGroup.classList = 'mpl-button-group';\n", + " for (var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " /* Instead of a spacer, we start a new button group. */\n", + " if (buttonGroup.hasChildNodes()) {\n", + " toolbar.appendChild(buttonGroup);\n", + " }\n", + " buttonGroup = document.createElement('div');\n", + " buttonGroup.classList = 'mpl-button-group';\n", + " continue;\n", + " }\n", + "\n", + " var button = (fig.buttons[name] = document.createElement('button'));\n", + " button.classList = 'mpl-widget';\n", + " button.setAttribute('role', 'button');\n", + " button.setAttribute('aria-disabled', 'false');\n", + " button.addEventListener('click', on_click_closure(method_name));\n", + " button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n", + "\n", + " var icon_img = document.createElement('img');\n", + " icon_img.src = '_images/' + image + '.png';\n", + " icon_img.srcset = '_images/' + image + '_large.png 2x';\n", + " icon_img.alt = tooltip;\n", + " button.appendChild(icon_img);\n", + "\n", + " buttonGroup.appendChild(button);\n", + " }\n", + "\n", + " if (buttonGroup.hasChildNodes()) {\n", + " toolbar.appendChild(buttonGroup);\n", + " }\n", + "\n", + " var fmt_picker = document.createElement('select');\n", + " fmt_picker.classList = 'mpl-widget';\n", + " toolbar.appendChild(fmt_picker);\n", + " this.format_dropdown = fmt_picker;\n", + "\n", + " for (var ind in mpl.extensions) {\n", + " var fmt = mpl.extensions[ind];\n", + " var option = document.createElement('option');\n", + " option.selected = fmt === mpl.default_extension;\n", + " option.innerHTML = fmt;\n", + " fmt_picker.appendChild(option);\n", + " }\n", + "\n", + " var status_bar = document.createElement('span');\n", + " status_bar.classList = 'mpl-message';\n", + " toolbar.appendChild(status_bar);\n", + " this.message = status_bar;\n", + "};\n", + "\n", + "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n", + " // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n", + " // which will in turn request a refresh of the image.\n", + " this.send_message('resize', { width: x_pixels, height: y_pixels });\n", + "};\n", + "\n", + "mpl.figure.prototype.send_message = function (type, properties) {\n", + " properties['type'] = type;\n", + " properties['figure_id'] = this.id;\n", + " this.ws.send(JSON.stringify(properties));\n", + "};\n", + "\n", + "mpl.figure.prototype.send_draw_message = function () {\n", + " if (!this.waiting) {\n", + " this.waiting = true;\n", + " this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n", + " }\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_save = function (fig, _msg) {\n", + " var format_dropdown = fig.format_dropdown;\n", + " var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n", + " fig.ondownload(fig, format);\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_resize = function (fig, msg) {\n", + " var size = msg['size'];\n", + " if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n", + " fig._resize_canvas(size[0], size[1], msg['forward']);\n", + " fig.send_message('refresh', {});\n", + " }\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n", + " var x0 = msg['x0'] / fig.ratio;\n", + " var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n", + " var x1 = msg['x1'] / fig.ratio;\n", + " var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n", + " x0 = Math.floor(x0) + 0.5;\n", + " y0 = Math.floor(y0) + 0.5;\n", + " x1 = Math.floor(x1) + 0.5;\n", + " y1 = Math.floor(y1) + 0.5;\n", + " var min_x = Math.min(x0, x1);\n", + " var min_y = Math.min(y0, y1);\n", + " var width = Math.abs(x1 - x0);\n", + " var height = Math.abs(y1 - y0);\n", + "\n", + " fig.rubberband_context.clearRect(\n", + " 0,\n", + " 0,\n", + " fig.canvas.width / fig.ratio,\n", + " fig.canvas.height / fig.ratio\n", + " );\n", + "\n", + " fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n", + " // Updates the figure title.\n", + " fig.header.textContent = msg['label'];\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n", + " var cursor = msg['cursor'];\n", + " switch (cursor) {\n", + " case 0:\n", + " cursor = 'pointer';\n", + " break;\n", + " case 1:\n", + " cursor = 'default';\n", + " break;\n", + " case 2:\n", + " cursor = 'crosshair';\n", + " break;\n", + " case 3:\n", + " cursor = 'move';\n", + " break;\n", + " }\n", + " fig.rubberband_canvas.style.cursor = cursor;\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_message = function (fig, msg) {\n", + " fig.message.textContent = msg['message'];\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n", + " // Request the server to send over a new figure.\n", + " fig.send_draw_message();\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n", + " fig.image_mode = msg['mode'];\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n", + " for (var key in msg) {\n", + " if (!(key in fig.buttons)) {\n", + " continue;\n", + " }\n", + " fig.buttons[key].disabled = !msg[key];\n", + " fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n", + " }\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n", + " if (msg['mode'] === 'PAN') {\n", + " fig.buttons['Pan'].classList.add('active');\n", + " fig.buttons['Zoom'].classList.remove('active');\n", + " } else if (msg['mode'] === 'ZOOM') {\n", + " fig.buttons['Pan'].classList.remove('active');\n", + " fig.buttons['Zoom'].classList.add('active');\n", + " } else {\n", + " fig.buttons['Pan'].classList.remove('active');\n", + " fig.buttons['Zoom'].classList.remove('active');\n", + " }\n", + "};\n", + "\n", + "mpl.figure.prototype.updated_canvas_event = function () {\n", + " // Called whenever the canvas gets updated.\n", + " this.send_message('ack', {});\n", + "};\n", + "\n", + "// A function to construct a web socket function for onmessage handling.\n", + "// Called in the figure constructor.\n", + "mpl.figure.prototype._make_on_message_function = function (fig) {\n", + " return function socket_on_message(evt) {\n", + " if (evt.data instanceof Blob) {\n", + " /* FIXME: We get \"Resource interpreted as Image but\n", + " * transferred with MIME type text/plain:\" errors on\n", + " * Chrome. But how to set the MIME type? It doesn't seem\n", + " * to be part of the websocket stream */\n", + " evt.data.type = 'image/png';\n", + "\n", + " /* Free the memory for the previous frames */\n", + " if (fig.imageObj.src) {\n", + " (window.URL || window.webkitURL).revokeObjectURL(\n", + " fig.imageObj.src\n", + " );\n", + " }\n", + "\n", + " fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n", + " evt.data\n", + " );\n", + " fig.updated_canvas_event();\n", + " fig.waiting = false;\n", + " return;\n", + " } else if (\n", + " typeof evt.data === 'string' &&\n", + " evt.data.slice(0, 21) === 'data:image/png;base64'\n", + " ) {\n", + " fig.imageObj.src = evt.data;\n", + " fig.updated_canvas_event();\n", + " fig.waiting = false;\n", + " return;\n", + " }\n", + "\n", + " var msg = JSON.parse(evt.data);\n", + " var msg_type = msg['type'];\n", + "\n", + " // Call the \"handle_{type}\" callback, which takes\n", + " // the figure and JSON message as its only arguments.\n", + " try {\n", + " var callback = fig['handle_' + msg_type];\n", + " } catch (e) {\n", + " console.log(\n", + " \"No handler for the '\" + msg_type + \"' message type: \",\n", + " msg\n", + " );\n", + " return;\n", + " }\n", + "\n", + " if (callback) {\n", + " try {\n", + " // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n", + " callback(fig, msg);\n", + " } catch (e) {\n", + " console.log(\n", + " \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n", + " e,\n", + " e.stack,\n", + " msg\n", + " );\n", + " }\n", + " }\n", + " };\n", + "};\n", + "\n", + "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n", + "mpl.findpos = function (e) {\n", + " //this section is from http://www.quirksmode.org/js/events_properties.html\n", + " var targ;\n", + " if (!e) {\n", + " e = window.event;\n", + " }\n", + " if (e.target) {\n", + " targ = e.target;\n", + " } else if (e.srcElement) {\n", + " targ = e.srcElement;\n", + " }\n", + " if (targ.nodeType === 3) {\n", + " // defeat Safari bug\n", + " targ = targ.parentNode;\n", + " }\n", + "\n", + " // pageX,Y are the mouse positions relative to the document\n", + " var boundingRect = targ.getBoundingClientRect();\n", + " var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n", + " var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n", + "\n", + " return { x: x, y: y };\n", + "};\n", + "\n", + "/*\n", + " * return a copy of an object with only non-object keys\n", + " * we need this to avoid circular references\n", + " * http://stackoverflow.com/a/24161582/3208463\n", + " */\n", + "function simpleKeys(original) {\n", + " return Object.keys(original).reduce(function (obj, key) {\n", + " if (typeof original[key] !== 'object') {\n", + " obj[key] = original[key];\n", + " }\n", + " return obj;\n", + " }, {});\n", + "}\n", + "\n", + "mpl.figure.prototype.mouse_event = function (event, name) {\n", + " var canvas_pos = mpl.findpos(event);\n", + "\n", + " if (name === 'button_press') {\n", + " this.canvas.focus();\n", + " this.canvas_div.focus();\n", + " }\n", + "\n", + " var x = canvas_pos.x * this.ratio;\n", + " var y = canvas_pos.y * this.ratio;\n", + "\n", + " this.send_message(name, {\n", + " x: x,\n", + " y: y,\n", + " button: event.button,\n", + " step: event.step,\n", + " guiEvent: simpleKeys(event),\n", + " });\n", + "\n", + " /* This prevents the web browser from automatically changing to\n", + " * the text insertion cursor when the button is pressed. We want\n", + " * to control all of the cursor setting manually through the\n", + " * 'cursor' event from matplotlib */\n", + " event.preventDefault();\n", + " return false;\n", + "};\n", + "\n", + "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n", + " // Handle any extra behaviour associated with a key event\n", + "};\n", + "\n", + "mpl.figure.prototype.key_event = function (event, name) {\n", + " // Prevent repeat events\n", + " if (name === 'key_press') {\n", + " if (event.which === this._key) {\n", + " return;\n", + " } else {\n", + " this._key = event.which;\n", + " }\n", + " }\n", + " if (name === 'key_release') {\n", + " this._key = null;\n", + " }\n", + "\n", + " var value = '';\n", + " if (event.ctrlKey && event.which !== 17) {\n", + " value += 'ctrl+';\n", + " }\n", + " if (event.altKey && event.which !== 18) {\n", + " value += 'alt+';\n", + " }\n", + " if (event.shiftKey && event.which !== 16) {\n", + " value += 'shift+';\n", + " }\n", + "\n", + " value += 'k';\n", + " value += event.which.toString();\n", + "\n", + " this._key_event_extra(event, name);\n", + "\n", + " this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n", + " return false;\n", + "};\n", + "\n", + "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n", + " if (name === 'download') {\n", + " this.handle_save(this, null);\n", + " } else {\n", + " this.send_message('toolbar_button', { name: name });\n", + " }\n", + "};\n", + "\n", + "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n", + " this.message.textContent = tooltip;\n", + "};\n", + "\n", + "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n", + "// prettier-ignore\n", + "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n", + "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n", + "\n", + "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n", + "\n", + "mpl.default_extension = \"png\";/* global mpl */\n", + "\n", + "var comm_websocket_adapter = function (comm) {\n", + " // Create a \"websocket\"-like object which calls the given IPython comm\n", + " // object with the appropriate methods. Currently this is a non binary\n", + " // socket, so there is still some room for performance tuning.\n", + " var ws = {};\n", + "\n", + " ws.close = function () {\n", + " comm.close();\n", + " };\n", + " ws.send = function (m) {\n", + " //console.log('sending', m);\n", + " comm.send(m);\n", + " };\n", + " // Register the callback with on_msg.\n", + " comm.on_msg(function (msg) {\n", + " //console.log('receiving', msg['content']['data'], msg);\n", + " // Pass the mpl event to the overridden (by mpl) onmessage function.\n", + " ws.onmessage(msg['content']['data']);\n", + " });\n", + " return ws;\n", + "};\n", + "\n", + "mpl.mpl_figure_comm = function (comm, msg) {\n", + " // This is the function which gets called when the mpl process\n", + " // starts-up an IPython Comm through the \"matplotlib\" channel.\n", + "\n", + " var id = msg.content.data.id;\n", + " // Get hold of the div created by the display call when the Comm\n", + " // socket was opened in Python.\n", + " var element = document.getElementById(id);\n", + " var ws_proxy = comm_websocket_adapter(comm);\n", + "\n", + " function ondownload(figure, _format) {\n", + " window.open(figure.canvas.toDataURL());\n", + " }\n", + "\n", + " var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n", + "\n", + " // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n", + " // web socket which is closed, not our websocket->open comm proxy.\n", + " ws_proxy.onopen();\n", + "\n", + " fig.parent_element = element;\n", + " fig.cell_info = mpl.find_output_cell(\"
\");\n", + " if (!fig.cell_info) {\n", + " console.error('Failed to find cell for figure', id, fig);\n", + " return;\n", + " }\n", + " fig.cell_info[0].output_area.element.on(\n", + " 'cleared',\n", + " { fig: fig },\n", + " fig._remove_fig_handler\n", + " );\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_close = function (fig, msg) {\n", + " var width = fig.canvas.width / fig.ratio;\n", + " fig.cell_info[0].output_area.element.off(\n", + " 'cleared',\n", + " fig._remove_fig_handler\n", + " );\n", + " fig.resizeObserverInstance.unobserve(fig.canvas_div);\n", + "\n", + " // Update the output cell to use the data from the current canvas.\n", + " fig.push_to_output();\n", + " var dataURL = fig.canvas.toDataURL();\n", + " // Re-enable the keyboard manager in IPython - without this line, in FF,\n", + " // the notebook keyboard shortcuts fail.\n", + " IPython.keyboard_manager.enable();\n", + " fig.parent_element.innerHTML =\n", + " '';\n", + " fig.close_ws(fig, msg);\n", + "};\n", + "\n", + "mpl.figure.prototype.close_ws = function (fig, msg) {\n", + " fig.send_message('closing', msg);\n", + " // fig.ws.close()\n", + "};\n", + "\n", + "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n", + " // Turn the data on the canvas into data in the output cell.\n", + " var width = this.canvas.width / this.ratio;\n", + " var dataURL = this.canvas.toDataURL();\n", + " this.cell_info[1]['text/html'] =\n", + " '';\n", + "};\n", + "\n", + "mpl.figure.prototype.updated_canvas_event = function () {\n", + " // Tell IPython that the notebook contents must change.\n", + " IPython.notebook.set_dirty(true);\n", + " this.send_message('ack', {});\n", + " var fig = this;\n", + " // Wait a second, then push the new image to the DOM so\n", + " // that it is saved nicely (might be nice to debounce this).\n", + " setTimeout(function () {\n", + " fig.push_to_output();\n", + " }, 1000);\n", + "};\n", + "\n", + "mpl.figure.prototype._init_toolbar = function () {\n", + " var fig = this;\n", + "\n", + " var toolbar = document.createElement('div');\n", + " toolbar.classList = 'btn-toolbar';\n", + " this.root.appendChild(toolbar);\n", + "\n", + " function on_click_closure(name) {\n", + " return function (_event) {\n", + " return fig.toolbar_button_onclick(name);\n", + " };\n", + " }\n", + "\n", + " function on_mouseover_closure(tooltip) {\n", + " return function (event) {\n", + " if (!event.currentTarget.disabled) {\n", + " return fig.toolbar_button_onmouseover(tooltip);\n", + " }\n", + " };\n", + " }\n", + "\n", + " fig.buttons = {};\n", + " var buttonGroup = document.createElement('div');\n", + " buttonGroup.classList = 'btn-group';\n", + " var button;\n", + " for (var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " /* Instead of a spacer, we start a new button group. */\n", + " if (buttonGroup.hasChildNodes()) {\n", + " toolbar.appendChild(buttonGroup);\n", + " }\n", + " buttonGroup = document.createElement('div');\n", + " buttonGroup.classList = 'btn-group';\n", + " continue;\n", + " }\n", + "\n", + " button = fig.buttons[name] = document.createElement('button');\n", + " button.classList = 'btn btn-default';\n", + " button.href = '#';\n", + " button.title = name;\n", + " button.innerHTML = '';\n", + " button.addEventListener('click', on_click_closure(method_name));\n", + " button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n", + " buttonGroup.appendChild(button);\n", + " }\n", + "\n", + " if (buttonGroup.hasChildNodes()) {\n", + " toolbar.appendChild(buttonGroup);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = document.createElement('span');\n", + " status_bar.classList = 'mpl-message pull-right';\n", + " toolbar.appendChild(status_bar);\n", + " this.message = status_bar;\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = document.createElement('div');\n", + " buttongrp.classList = 'btn-group inline pull-right';\n", + " button = document.createElement('button');\n", + " button.classList = 'btn btn-mini btn-primary';\n", + " button.href = '#';\n", + " button.title = 'Stop Interaction';\n", + " button.innerHTML = '';\n", + " button.addEventListener('click', function (_evt) {\n", + " fig.handle_close(fig, {});\n", + " });\n", + " button.addEventListener(\n", + " 'mouseover',\n", + " on_mouseover_closure('Stop Interaction')\n", + " );\n", + " buttongrp.appendChild(button);\n", + " var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n", + " titlebar.insertBefore(buttongrp, titlebar.firstChild);\n", + "};\n", + "\n", + "mpl.figure.prototype._remove_fig_handler = function (event) {\n", + " var fig = event.data.fig;\n", + " if (event.target !== this) {\n", + " // Ignore bubbled events from children.\n", + " return;\n", + " }\n", + " fig.close_ws(fig, {});\n", + "};\n", + "\n", + "mpl.figure.prototype._root_extra_style = function (el) {\n", + " el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n", + "};\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function (el) {\n", + " // this is important to make the div 'focusable\n", + " el.setAttribute('tabindex', 0);\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " } else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "};\n", + "\n", + "mpl.figure.prototype._key_event_extra = function (event, _name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager) {\n", + " manager = IPython.keyboard_manager;\n", + " }\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which === 13) {\n", + " this.canvas_div.blur();\n", + " // select the cell after this one\n", + " var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n", + " IPython.notebook.select(index + 1);\n", + " }\n", + "};\n", + "\n", + "mpl.figure.prototype.handle_save = function (fig, _msg) {\n", + " fig.ondownload(fig, null);\n", + "};\n", + "\n", + "mpl.find_output_cell = function (html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i = 0; i < ncells; i++) {\n", + " var cell = cells[i];\n", + " if (cell.cell_type === 'code') {\n", + " for (var j = 0; j < cell.output_area.outputs.length; j++) {\n", + " var data = cell.output_area.outputs[j];\n", + " if (data.data) {\n", + " // IPython >= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] === html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "};\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel !== null) {\n", + " IPython.notebook.kernel.comm_manager.register_target(\n", + " 'matplotlib',\n", + " mpl.mpl_figure_comm\n", + " );\n", + "}\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Found sensor offset: -3.59 g / -35.21 m/s^2\n", + "Found sensor scale: -0.014\n", + "\n", + "Centrifugal acceleration at 1.58 Hz:\n", + " Theory: 0.55 g / 5.42 m/s^2\n", + " Measurement: 0.51 g / 5.028966965088801 m/s^2\n", + " Rel. Error: 7.78 %\n", + " Abs. Error: 0.04 g / 0.39 m/s^2\n", + "\n", + "Centrifugal acceleration at 2.11 Hz:\n", + " Theory: 0.99 g / 9.67 m/s^2\n", + " Measurement: 0.93 g / 9.162411313131324 m/s^2\n", + " Rel. Error: 5.51 %\n", + " Abs. Error: 0.05 g / 0.50 m/s^2\n", + "\n", + "Centrifugal acceleration at 2.85 Hz:\n", + " Theory: 1.80 g / 17.64 m/s^2\n", + " Measurement: 1.75 g / 17.17632651666313 m/s^2\n", + " Rel. Error: 2.68 %\n", + " Abs. Error: 0.05 g / 0.46 m/s^2\n", + "\n", + "Centrifugal acceleration at 3.30 Hz:\n", + " Theory: 2.41 g / 23.65 m/s^2\n", + " Measurement: 2.38 g / 23.327857994031824 m/s^2\n", + " Rel. Error: 1.36 %\n", + " Abs. Error: 0.03 g / 0.32 m/s^2\n", + "\n", + "Centrifugal acceleration at 4.58 Hz:\n", + " Theory: 4.64 g / 45.55 m/s^2\n", + " Measurement: 4.61 g / 45.215765910987294 m/s^2\n", + " Rel. Error: 0.73 %\n", + " Abs. Error: 0.03 g / 0.33 m/s^2\n", + "\n", + "Centrifugal acceleration at 5.03 Hz:\n", + " Theory: 5.60 g / 54.94 m/s^2\n", + " Measurement: 5.60 g / 54.879353326521255 m/s^2\n", + " Rel. Error: 0.10 %\n", + " Abs. Error: 0.01 g / 0.06 m/s^2\n", + "\n", + "Centrifugal acceleration at 5.64 Hz:\n", + " Theory: 7.04 g / 69.07 m/s^2\n", + " Measurement: 7.07 g / 69.32805905894263 m/s^2\n", + " Rel. Error: -0.37 %\n", + " Abs. Error: -0.03 g / -0.26 m/s^2\n", + "\n", + "Centrifugal acceleration at 6.27 Hz:\n", + " Theory: 8.70 g / 85.36 m/s^2\n", + " Measurement: 8.73 g / 85.58819751832274 m/s^2\n", + " Rel. Error: -0.27 %\n", + " Abs. Error: -0.02 g / -0.23 m/s^2\n", + "\n", + "Centrifugal acceleration at 6.92 Hz:\n", + " Theory: 10.60 g / 103.98 m/s^2\n", + " Measurement: 10.61 g / 104.02675841921068 m/s^2\n", + " Rel. Error: -0.05 %\n", + " Abs. Error: -0.01 g / -0.05 m/s^2\n", + "\n", + "Centrifugal acceleration at 7.52 Hz:\n", + " Theory: 12.52 g / 122.79 m/s^2\n", + " Measurement: 12.55 g / 123.06283558349547 m/s^2\n", + " Rel. Error: -0.22 %\n", + " Abs. Error: -0.03 g / -0.27 m/s^2\n", + "\n", + "Centrifugal acceleration at 8.11 Hz:\n", + " Theory: 14.56 g / 142.81 m/s^2\n", + " Measurement: 14.60 g / 143.1378855707173 m/s^2\n", + " Rel. Error: -0.23 %\n", + " Abs. Error: -0.03 g / -0.33 m/s^2\n", + "\n", + "Centrifugal acceleration at 8.83 Hz:\n", + " Theory: 17.26 g / 169.29 m/s^2\n", + " Measurement: 17.29 g / 169.5411921794013 m/s^2\n", + " Rel. Error: -0.15 %\n", + " Abs. Error: -0.03 g / -0.25 m/s^2\n", + "\n", + "Centrifugal acceleration at 9.34 Hz:\n", + " Theory: 19.32 g / 189.42 m/s^2\n", + " Measurement: 19.33 g / 189.55282064313795 m/s^2\n", + " Rel. Error: -0.07 %\n", + " Abs. Error: -0.01 g / -0.14 m/s^2\n", + "\n", + "Centrifugal acceleration at 10.08 Hz:\n", + " Theory: 22.50 g / 220.62 m/s^2\n", + " Measurement: 22.64 g / 222.01323904535036 m/s^2\n", + " Rel. Error: -0.63 %\n", + " Abs. Error: -0.14 g / -1.39 m/s^2\n", + "\n", + "Centrifugal acceleration at 10.92 Hz:\n", + " Theory: 26.40 g / 258.92 m/s^2\n", + " Measurement: 26.44 g / 259.29404953313013 m/s^2\n", + " Rel. Error: -0.14 %\n", + " Abs. Error: -0.04 g / -0.37 m/s^2\n", + "\n", + "Centrifugal acceleration at 11.92 Hz:\n", + " Theory: 31.46 g / 308.51 m/s^2\n", + " Measurement: 31.43 g / 308.2330187199834 m/s^2\n", + " Rel. Error: 0.09 %\n", + " Abs. Error: 0.03 g / 0.28 m/s^2\n", + "\n", + "Centrifugal acceleration at 13.24 Hz:\n", + " Theory: 38.81 g / 380.63 m/s^2\n", + " Measurement: 38.83 g / 380.7555308252864 m/s^2\n", + " Rel. Error: -0.03 %\n", + " Abs. Error: -0.01 g / -0.13 m/s^2\n", + "\n", + "Centrifugal acceleration at 14.10 Hz:\n", + " Theory: 44.02 g / 431.68 m/s^2\n", + " Measurement: 44.00 g / 431.4606825509938 m/s^2\n", + " Rel. Error: 0.05 %\n", + " Abs. Error: 0.02 g / 0.22 m/s^2\n", + "\n", + "Centrifugal acceleration at 15.18 Hz:\n", + " Theory: 51.02 g / 500.34 m/s^2\n", + " Measurement: 50.93 g / 499.4553254402874 m/s^2\n", + " Rel. Error: 0.18 %\n", + " Abs. Error: 0.09 g / 0.89 m/s^2\n", + "\n", + "Centrifugal acceleration at 16.39 Hz:\n", + " Theory: 59.48 g / 583.28 m/s^2\n", + " Measurement: 59.48 g / 583.3128315154445 m/s^2\n", + " Rel. Error: -0.00 %\n", + " Abs. Error: -0.00 g / -0.03 m/s^2\n", + "\n" + ] + } + ], + "source": [ + "t, y, _1, _2 = load_run(50, plot=False)\n", + "\n", + "fig, ax = plt.subplots(figsize=(8, 5))\n", + "\n", + "# Run 50\n", + "le_data = [\n", + " 1.58, 2.11, 2.85, 3.30, 4.58, 5.03, 5.64, 6.27, 6.92, 7.52, 8.11, 8.83, 9.34, 10.08, 10.92, 11.92,\n", + " 13.24, 14.10, 15.18, 16.39\n", + "]\n", + "le_data = [ (i*90 + 45, i*90 + 45 + 40, f) for i, f in enumerate(le_data) ]\n", + "\n", + "avg_include = [True] * len(le_data)\n", + "\n", + "acc_theory = []\n", + "acc_meas = []\n", + "\n", + "#for ts_m, ts_s, f_actual in le_data:\n", + "for ts_start, ts_end, f_actual in le_data:\n", + " omegan = 2*np.pi*f_actual # angular velocity\n", + " acc = omegan**2 * r_mems # m/s^2\n", + " acc_theory.append(acc / g)\n", + " \n", + " #ax.axvspan(ts_abs-ivl_w/2, ts_abs+ivl_w/2, zorder=1, color='red', alpha=0.1)\n", + " \n", + " idx = (ts_start/60 < t) & (t < ts_end/60)\n", + " ivl_avg = (y / mems_lsb_per_g)[idx].mean()\n", + " acc_meas.append(ivl_avg)\n", + "\n", + "# Calculate offset correction. The offset is due to manufacturing imperfections inherent to the device.\n", + "# Note that while in the \"0Hz\" still part of the line at the beginning and end of the trace we see a\n", + "# fraction of earth's gravity due to the sensor's position inside the device and the way the device lies\n", + "# on the workbench, this offset cancels out once the device is rotating.\n", + "#\n", + "# Our sensor is specified to have up to +/- 1.0 g offset. This is due to its large +/- 120 g range\n", + "# and we're well within that.\n", + "#\n", + "# The sensor's nonlinearity error is specified as +/- 2 %FS and we're well within that as well.\n", + "\n", + "def fun(x, *args):\n", + " return np.sqrt(np.mean([ ((meas - x[0])*x[1] - theory)**2\n", + " for theory, meas, inc in zip(acc_theory, acc_meas, avg_include)\n", + " if inc ]))\n", + "res = scipy.optimize.minimize(fun, (1, 1))\n", + "sensor_offx = res.x[0]\n", + "sensor_scale = np.abs(res.x[1])\n", + "\n", + "print(f'Found sensor offset: {sensor_offx:.2f} g / {sensor_offx*g:.2f} m/s^2')\n", + "print(f'Found sensor scale: {sensor_scale-1.0:+.3f}')\n", + "print() \n", + "\n", + "ax.set_xlabel(r't [mm:ss]')\n", + "ax.set_ylabel(r'$a\\; [g]$')\n", + "secax_y = ax.secondary_yaxis(\n", + " 'right', functions=(g_to_ms, ms_to_g))\n", + "secax_y.set_ylabel(r'$a\\; [ms^{-1}]$')\n", + "\n", + "formatter = ticker.FuncFormatter(lambda tick, _pos: f'{int(tick):02d}:{tick*60%60:02.0f}')\n", + "ax.xaxis.set_major_formatter(formatter)\n", + "\n", + "yp = (y / mems_lsb_per_g - sensor_offx) * sensor_scale\n", + "\n", + "sos = scipy.signal.butter(8, 0.5, 'lp', fs=10, output='sos')\n", + "filtered = scipy.signal.sosfiltfilt(sos, yp)\n", + "\n", + "label = 'Raw acceleration', f'After Low Pass'\n", + "for t_start, t_end, _f in le_data:\n", + " idx = (t_start/60 < t) & (t < t_end/60)\n", + " new_t = t[idx]\n", + " new_t -= min(new_t)\n", + " ax.plot(new_t, yp[idx], color='darkblue', alpha=0.2, label=label[0])\n", + " ax.plot(new_t, filtered[idx], color='darkblue', label=label[1])\n", + " label = (None, None)\n", + "\n", + "ax.axhline(0, linewidth=1, color='black', alpha=0.5, zorder=1)\n", + "\n", + "label = {'label': 'Calculated from rotor speed'}\n", + "for theory, meas, (_1, _2, f_actual) in zip(acc_theory, acc_meas, le_data):\n", + " ax.axhline(theory, color='orange', alpha=1, zorder=1, linewidth=1, **label)\n", + " label = {}\n", + " meas = (meas - sensor_offx) * sensor_scale\n", + " #ax.axhline(meas, color='red', alpha=0.2, zorder=1)\n", + " \n", + " print(f'Centrifugal acceleration at {f_actual:.2f} Hz:')\n", + " print(f' Theory: {theory:.2f} g / {theory*g:.2f} m/s^2')\n", + " print(f' Measurement: {meas:.2f} g / {meas*g} m/s^2')\n", + " print(f' Rel. Error: {(theory/meas - 1.0) * 100:.2f} %')\n", + " print(f' Abs. Error: {theory-meas:.2f} g / {(theory-meas)*g:.2f} m/s^2')\n", + " print()\n", + "\n", + "ax.legend(loc='upper left')\n", + "#ax.set_yscale('log')\n", + "#ax.set_ylim([0.3, 30])\n", + "fig.tight_layout()\n", + "fig.savefig('fig-acc-trace-stacked-run50.pdf')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, "metadata": { "scrolled": false }, @@ -4362,7 +5673,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 9, "metadata": { "scrolled": false }, @@ -5366,7 +6677,7 @@ "4.3273542600896855" ] }, - "execution_count": 12, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -5412,7 +6723,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 10, "metadata": { "scrolled": false }, @@ -6385,7 +7696,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -6410,7 +7721,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -7386,10 +8697,10 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 14, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -7403,7 +8714,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 12, "metadata": { "scrolled": false }, @@ -8604,7 +9915,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -10616,7 +11927,7 @@ "\n", "#ax = ax.twinx()\n", "ax.grid()\n", - "ax.plot(freqs, [ delta_rel*100 for _delta_abs, delta_rel in deltas[:-1] ])#, color='orange')\n", + "ax.plot(freqs, [ delta_rel*100 for _delta_abs, delta_rel in deltas[:-2] ])#, color='orange')\n", "ax.set_ylabel('$\\Delta_{rel}\\;[\\%]$')\n", "\n", "ax.set_xlabel('$f\\;[Hz]$')" @@ -11590,7 +12901,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -11608,42 +12919,73 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 26, "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 'largest_peak_f' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mr_mems\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m55e-3\u001b[0m \u001b[0;31m# radius of our sensor from the axis of rotation in m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlargest_peak_f\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0momega\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpi\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mf\u001b[0m \u001b[0;31m# angular velocity\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mcentrifugal_acceleration\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0momega\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mr_mems\u001b[0m \u001b[0;31m# m/s^2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'largest_peak_f' is not defined" + "name": "stdout", + "output_type": "stream", + "text": [ + "Centrifugal acceleration at 7.50 Hz: 122.14 m/s^2 / 12.45 g\n", + "Centrifugal acceleration at 15.00 Hz: 488.55 m/s^2 / 49.82 g\n" ] } ], "source": [ "r_mems = 55e-3 # radius of our sensor from the axis of rotation in m\n", - "f = largest_peak_f\n", + "f = 7.5\n", "omega = 2*np.pi*f # angular velocity\n", "centrifugal_acceleration = omega**2 * r_mems # m/s^2\n", "\n", - "f2 = 1/interval\n", + "f2 = 15\n", "omega2 = 2*np.pi*f2 # angular velocity\n", "centrifugal_acceleration2 = omega2**2 * r_mems # m/s^2\n", "\n", - "print(f'Centrifugal acceleration at {largest_peak_f:.2f} Hz: {centrifugal_acceleration:.2f} m/s^2 / {centrifugal_acceleration/g:.2f} g')\n", + "print(f'Centrifugal acceleration at {f:.2f} Hz: {centrifugal_acceleration:.2f} m/s^2 / {centrifugal_acceleration/g:.2f} g')\n", "print(f'Centrifugal acceleration at {f2:.2f} Hz: {centrifugal_acceleration2:.2f} m/s^2 / {centrifugal_acceleration2/g:.2f} g')" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": { "scrolled": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Centrifugal acceleration at 0.10 Hz: 0.02 m/s^2 / 0.00 g\n", + "Centrifugal acceleration at 0.20 Hz: 0.09 m/s^2 / 0.01 g\n", + "Centrifugal acceleration at 0.50 Hz: 0.54 m/s^2 / 0.06 g\n", + "Centrifugal acceleration at 1.00 Hz: 2.17 m/s^2 / 0.22 g\n", + "Centrifugal acceleration at 1.50 Hz: 4.89 m/s^2 / 0.50 g\n", + "Centrifugal acceleration at 2.00 Hz: 8.69 m/s^2 / 0.89 g\n", + "Centrifugal acceleration at 2.50 Hz: 13.57 m/s^2 / 1.38 g\n", + "Centrifugal acceleration at 3.00 Hz: 19.54 m/s^2 / 1.99 g\n", + "Centrifugal acceleration at 3.50 Hz: 26.60 m/s^2 / 2.71 g\n", + "Centrifugal acceleration at 4.00 Hz: 34.74 m/s^2 / 3.54 g\n", + "Centrifugal acceleration at 4.50 Hz: 43.97 m/s^2 / 4.48 g\n", + "Centrifugal acceleration at 5.00 Hz: 54.28 m/s^2 / 5.54 g\n", + "Centrifugal acceleration at 6.00 Hz: 78.17 m/s^2 / 7.97 g\n", + "Centrifugal acceleration at 7.00 Hz: 106.39 m/s^2 / 10.85 g\n", + "Centrifugal acceleration at 8.00 Hz: 138.96 m/s^2 / 14.17 g\n", + "Centrifugal acceleration at 9.00 Hz: 175.88 m/s^2 / 17.93 g\n", + "Centrifugal acceleration at 10.00 Hz: 217.13 m/s^2 / 22.14 g\n", + "Centrifugal acceleration at 11.00 Hz: 262.73 m/s^2 / 26.79 g\n", + "Centrifugal acceleration at 12.00 Hz: 312.67 m/s^2 / 31.88 g\n", + "Centrifugal acceleration at 13.00 Hz: 366.95 m/s^2 / 37.42 g\n", + "Centrifugal acceleration at 14.00 Hz: 425.58 m/s^2 / 43.40 g\n", + "Centrifugal acceleration at 15.00 Hz: 488.55 m/s^2 / 49.82 g\n", + "Centrifugal acceleration at 16.00 Hz: 555.86 m/s^2 / 56.68 g\n", + "Centrifugal acceleration at 17.00 Hz: 627.51 m/s^2 / 63.99 g\n", + "Centrifugal acceleration at 18.00 Hz: 703.51 m/s^2 / 71.74 g\n", + "Centrifugal acceleration at 19.00 Hz: 783.84 m/s^2 / 79.93 g\n", + "Centrifugal acceleration at 20.00 Hz: 868.53 m/s^2 / 88.57 g\n" + ] + } + ], "source": [ "for fn in [0.1, 0.2, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,\n", " 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0]:\n", @@ -11655,7 +12997,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -12619,7 +13961,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -12630,13 +13972,13 @@ }, { "ename": "NameError", - "evalue": "name 'centrifugal_acceleration' is not defined", + "evalue": "name 'interval' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0max\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxvspan\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mivl_start\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m60\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0msampling_rate\u001b[0m\u001b[0;34m,\u001b[0m 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