Warning, /acts/Tests/IntegrationTests/Magfield.ipynb is written in an unsupported language. File is not indexed.
0001 {
0002 "cells": [
0003 {
0004 "cell_type": "code",
0005 "execution_count": 2,
0006 "metadata": {},
0007 "outputs": [],
0008 "source": [
0009 "%matplotlib inline\n",
0010 "import pandas as pd\n",
0011 "import os\n",
0012 "import matplotlib.pyplot as plt\n",
0013 "import math\n",
0014 "import numpy as np\n",
0015 "import scipy\n",
0016 "import scipy.stats\n",
0017 "\n",
0018 "plt.rcParams[\"figure.figsize\"] = (12, 7)\n",
0019 "# plt.rc('text', usetex=True)\n",
0020 "from pathlib import Path"
0021 ]
0022 },
0023 {
0024 "cell_type": "code",
0025 "execution_count": 3,
0026 "metadata": {},
0027 "outputs": [],
0028 "source": [
0029 "plt.rcParams[\"ytick.right\"] = plt.rcParams[\"xtick.top\"] = True\n",
0030 "plt.rcParams[\"xtick.direction\"] = \"in\"\n",
0031 "plt.rcParams[\"ytick.direction\"] = \"in\"\n",
0032 "plt.rcParams[\"font.size\"] = 12.0\n",
0033 "plt.rcParams[\"font.family\"] = \"sans-serif\"\n",
0034 "plt.rcParams[\"legend.frameon\"] = False\n",
0035 "plt.rcParams[\"legend.columnspacing\"] = 0.2\n",
0036 "plt.rcParams[\"legend.handletextpad\"] = 0.2\n",
0037 "plt.rcParams[\"legend.labelspacing\"] = 0.2\n",
0038 "plt.rcParams[\"legend.borderpad\"] = 0\n",
0039 "plt.rcParams[\"legend.handlelength\"] = 1.0"
0040 ]
0041 },
0042 {
0043 "cell_type": "code",
0044 "execution_count": 4,
0045 "metadata": {},
0046 "outputs": [
0047 {
0048 "data": {
0049 "text/plain": [
0050 "PosixPath('/Users/pagessin/dev/acts-core/build')"
0051 ]
0052 },
0053 "execution_count": 4,
0054 "metadata": {},
0055 "output_type": "execute_result"
0056 }
0057 ],
0058 "source": [
0059 "bp = Path.home() / \"dev\" / \"acts-core\" / \"build\"\n",
0060 "bp"
0061 ]
0062 },
0063 {
0064 "cell_type": "code",
0065 "execution_count": 5,
0066 "metadata": {},
0067 "outputs": [
0068 {
0069 "data": {
0070 "text/html": [
0071 "<div>\n",
0072 "<style scoped>\n",
0073 " .dataframe tbody tr th:only-of-type {\n",
0074 " vertical-align: middle;\n",
0075 " }\n",
0076 "\n",
0077 " .dataframe tbody tr th {\n",
0078 " vertical-align: top;\n",
0079 " }\n",
0080 "\n",
0081 " .dataframe thead th {\n",
0082 " text-align: right;\n",
0083 " }\n",
0084 "</style>\n",
0085 "<table border=\"1\" class=\"dataframe\">\n",
0086 " <thead>\n",
0087 " <tr style=\"text-align: right;\">\n",
0088 " <th></th>\n",
0089 " <th>x</th>\n",
0090 " <th>y</th>\n",
0091 " <th>z</th>\n",
0092 " <th>B_x</th>\n",
0093 " <th>B_y</th>\n",
0094 " <th>B_z</th>\n",
0095 " <th>B</th>\n",
0096 " </tr>\n",
0097 " </thead>\n",
0098 " <tbody>\n",
0099 " <tr>\n",
0100 " <th>0</th>\n",
0101 " <td>0.0</td>\n",
0102 " <td>0</td>\n",
0103 " <td>0.0</td>\n",
0104 " <td>0.0</td>\n",
0105 " <td>0</td>\n",
0106 " <td>0.000600</td>\n",
0107 " <td>0.000600</td>\n",
0108 " </tr>\n",
0109 " <tr>\n",
0110 " <th>1</th>\n",
0111 " <td>0.0</td>\n",
0112 " <td>0</td>\n",
0113 " <td>217.5</td>\n",
0114 " <td>0.0</td>\n",
0115 " <td>0</td>\n",
0116 " <td>0.000599</td>\n",
0117 " <td>0.000599</td>\n",
0118 " </tr>\n",
0119 " <tr>\n",
0120 " <th>2</th>\n",
0121 " <td>0.0</td>\n",
0122 " <td>0</td>\n",
0123 " <td>-217.5</td>\n",
0124 " <td>0.0</td>\n",
0125 " <td>0</td>\n",
0126 " <td>0.000599</td>\n",
0127 " <td>0.000599</td>\n",
0128 " </tr>\n",
0129 " <tr>\n",
0130 " <th>3</th>\n",
0131 " <td>0.0</td>\n",
0132 " <td>0</td>\n",
0133 " <td>435.0</td>\n",
0134 " <td>0.0</td>\n",
0135 " <td>0</td>\n",
0136 " <td>0.000597</td>\n",
0137 " <td>0.000597</td>\n",
0138 " </tr>\n",
0139 " <tr>\n",
0140 " <th>4</th>\n",
0141 " <td>0.0</td>\n",
0142 " <td>0</td>\n",
0143 " <td>-435.0</td>\n",
0144 " <td>0.0</td>\n",
0145 " <td>0</td>\n",
0146 " <td>0.000597</td>\n",
0147 " <td>0.000597</td>\n",
0148 " </tr>\n",
0149 " </tbody>\n",
0150 "</table>\n",
0151 "</div>"
0152 ],
0153 "text/plain": [
0154 " x y z B_x B_y B_z B\n",
0155 "0 0.0 0 0.0 0.0 0 0.000600 0.000600\n",
0156 "1 0.0 0 217.5 0.0 0 0.000599 0.000599\n",
0157 "2 0.0 0 -217.5 0.0 0 0.000599 0.000599\n",
0158 "3 0.0 0 435.0 0.0 0 0.000597 0.000597\n",
0159 "4 0.0 0 -435.0 0.0 0 0.000597 0.000597"
0160 ]
0161 },
0162 "metadata": {},
0163 "output_type": "display_data"
0164 },
0165 {
0166 "data": {
0167 "text/html": [
0168 "<div>\n",
0169 "<style scoped>\n",
0170 " .dataframe tbody tr th:only-of-type {\n",
0171 " vertical-align: middle;\n",
0172 " }\n",
0173 "\n",
0174 " .dataframe tbody tr th {\n",
0175 " vertical-align: top;\n",
0176 " }\n",
0177 "\n",
0178 " .dataframe thead th {\n",
0179 " text-align: right;\n",
0180 " }\n",
0181 "</style>\n",
0182 "<table border=\"1\" class=\"dataframe\">\n",
0183 " <thead>\n",
0184 " <tr style=\"text-align: right;\">\n",
0185 " <th></th>\n",
0186 " <th>x</th>\n",
0187 " <th>y</th>\n",
0188 " <th>z</th>\n",
0189 " <th>B_x</th>\n",
0190 " <th>B_y</th>\n",
0191 " <th>B_z</th>\n",
0192 " <th>B</th>\n",
0193 " </tr>\n",
0194 " </thead>\n",
0195 " <tbody>\n",
0196 " <tr>\n",
0197 " <th>1594</th>\n",
0198 " <td>-1788.38</td>\n",
0199 " <td>0</td>\n",
0200 " <td>-4132.5</td>\n",
0201 " <td>0.000103</td>\n",
0202 " <td>0</td>\n",
0203 " <td>-0.000002</td>\n",
0204 " <td>0.000103</td>\n",
0205 " </tr>\n",
0206 " <tr>\n",
0207 " <th>1595</th>\n",
0208 " <td>1788.38</td>\n",
0209 " <td>0</td>\n",
0210 " <td>4350.0</td>\n",
0211 " <td>0.000094</td>\n",
0212 " <td>0</td>\n",
0213 " <td>-0.000001</td>\n",
0214 " <td>0.000094</td>\n",
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0216 " <tr>\n",
0217 " <th>1596</th>\n",
0218 " <td>1788.38</td>\n",
0219 " <td>0</td>\n",
0220 " <td>-4350.0</td>\n",
0221 " <td>-0.000094</td>\n",
0222 " <td>0</td>\n",
0223 " <td>-0.000001</td>\n",
0224 " <td>0.000094</td>\n",
0225 " </tr>\n",
0226 " <tr>\n",
0227 " <th>1597</th>\n",
0228 " <td>-1788.38</td>\n",
0229 " <td>0</td>\n",
0230 " <td>4350.0</td>\n",
0231 " <td>-0.000094</td>\n",
0232 " <td>0</td>\n",
0233 " <td>-0.000001</td>\n",
0234 " <td>0.000094</td>\n",
0235 " </tr>\n",
0236 " <tr>\n",
0237 " <th>1598</th>\n",
0238 " <td>-1788.38</td>\n",
0239 " <td>0</td>\n",
0240 " <td>-4350.0</td>\n",
0241 " <td>0.000094</td>\n",
0242 " <td>0</td>\n",
0243 " <td>-0.000001</td>\n",
0244 " <td>0.000094</td>\n",
0245 " </tr>\n",
0246 " </tbody>\n",
0247 "</table>\n",
0248 "</div>"
0249 ],
0250 "text/plain": [
0251 " x y z B_x B_y B_z B\n",
0252 "1594 -1788.38 0 -4132.5 0.000103 0 -0.000002 0.000103\n",
0253 "1595 1788.38 0 4350.0 0.000094 0 -0.000001 0.000094\n",
0254 "1596 1788.38 0 -4350.0 -0.000094 0 -0.000001 0.000094\n",
0255 "1597 -1788.38 0 4350.0 -0.000094 0 -0.000001 0.000094\n",
0256 "1598 -1788.38 0 -4350.0 0.000094 0 -0.000001 0.000094"
0257 ]
0258 },
0259 "metadata": {},
0260 "output_type": "display_data"
0261 }
0262 ],
0263 "source": [
0264 "df = pd.read_csv(bp / \"solenoid.csv\", delimiter=\";\")\n",
0265 "df[\"B\"] = np.sqrt(df.B_x**2 + df.B_y**2 + df.B_z**2)\n",
0266 "display(df.head())\n",
0267 "display(df.tail())"
0268 ]
0269 },
0270 {
0271 "cell_type": "code",
0272 "execution_count": 7,
0273 "metadata": {},
0274 "outputs": [
0275 {
0276 "data": {
0277 "image/png": 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0278 "text/plain": [
0279 "<Figure size 576x360 with 1 Axes>"
0280 ]
0281 },
0282 "metadata": {
0283 "needs_background": "light"
0284 },
0285 "output_type": "display_data"
0286 }
0287 ],
0288 "source": [
0289 "fig, ax = plt.subplots(figsize=(8, 5))\n",
0290 "ax.quiver(df.z, df.x, df.B_z, df.B_x, df.B, pivot=\"mid\")\n",
0291 "ax.set_ylim(bottom=0)\n",
0292 "ax.set_xlabel(\"z [mm]\")\n",
0293 "ax.set_ylabel(\"r [mm]\")\n",
0294 "fig.tight_layout()\n",
0295 "fig.savefig(bp.parent / \"quiver.png\", dpi=150)"
0296 ]
0297 },
0298 {
0299 "cell_type": "code",
0300 "execution_count": 11,
0301 "metadata": {},
0302 "outputs": [
0303 {
0304 "name": "stdout",
0305 "output_type": "stream",
0306 "text": [
0307 "150 200\n",
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0396 "text/plain": [
0397 " i j r z B_r B_z B\n",
0398 "0 1 1 0.0 -5800.00 0.0 0.000024 0.000024\n",
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0492 ],
0493 "text/plain": [
0494 " i j r z B_r B_z B\n",
0495 "29995 150 196 2510.0 5566.83 0.000052 -0.000010 0.000052\n",
0496 "29996 150 197 2510.0 5625.13 0.000051 -0.000009 0.000052\n",
0497 "29997 150 198 2510.0 5683.42 0.000050 -0.000009 0.000051\n",
0498 "29998 150 199 2510.0 5741.71 0.000049 -0.000009 0.000050\n",
0499 "29999 150 200 2510.0 5800.00 0.000049 -0.000009 0.000050"
0500 ]
0501 },
0502 "metadata": {},
0503 "output_type": "display_data"
0504 }
0505 ],
0506 "source": [
0507 "dfmap = pd.read_csv(bp / \"solenoidmap.csv\", delimiter=\";\")\n",
0508 "dfmap[\"B\"] = np.sqrt(dfmap.B_r**2 + dfmap.B_z**2) # *1e16\n",
0509 "# df.i = df.i.astype(int)\n",
0510 "# df.j = df.j.astype(int)\n",
0511 "nBinsR = dfmap.i.max()\n",
0512 "nBinsZ = dfmap.j.max()\n",
0513 "rmin = dfmap.r.min()\n",
0514 "rmax = dfmap.r.max()\n",
0515 "zmin = dfmap.z.min()\n",
0516 "zmax = dfmap.z.max()\n",
0517 "rmax -= rmax / nBinsR\n",
0518 "print(nBinsR, nBinsZ)\n",
0519 "print(rmin, rmax, zmin, zmax)\n",
0520 "display(dfmap.head())\n",
0521 "display(dfmap.tail())"
0522 ]
0523 },
0524 {
0525 "cell_type": "code",
0526 "execution_count": 23,
0527 "metadata": {},
0528 "outputs": [
0529 {
0530 "data": {
0531 "image/png": 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\n",
0532 "text/plain": [
0533 "<Figure size 864x504 with 1 Axes>"
0534 ]
0535 },
0536 "metadata": {
0537 "needs_background": "light"
0538 },
0539 "output_type": "display_data"
0540 }
0541 ],
0542 "source": [
0543 "# hist, xedges, yedges = np.histogram2d([], [], bins=(nBinsZ, nBinsR), range=((zmin, zmax), (rmin, rmax)))\n",
0544 "# extent = [xedges[0], xedges[-1], yedges[0], yedges[-1]]\n",
0545 "\n",
0546 "\n",
0547 "hist = np.zeros((nBinsR - 1, nBinsZ))\n",
0548 "\n",
0549 "for index, row in dfmap.iterrows():\n",
0550 " i, j = int(row.i - 1), int(row.j - 1)\n",
0551 " if i < nBinsR - 1:\n",
0552 " hist[i][j] = row.B\n",
0553 "\n",
0554 " # hist[int(row.i-1), int(row.j-1)] = math.sqrt(row.B_r**2 + row.B_z**2)\n",
0555 "\n",
0556 "# print(hist)\n",
0557 "fig, ax = plt.subplots()\n",
0558 "ax.imshow(hist, origin=\"lower\", extent=(zmin, zmax, rmin, rmax), aspect=2)\n",
0559 "fig.savefig(Path.home() / \"dev/acts-core/solenoid.png\")"
0560 ]
0561 },
0562 {
0563 "cell_type": "code",
0564 "execution_count": 13,
0565 "metadata": {},
0566 "outputs": [],
0567 "source": [
0568 "# z, r = np.mgrid[-4.:4.:400j,-2.:2.:200j]\n",
0569 "# z, r"
0570 ]
0571 },
0572 {
0573 "cell_type": "code",
0574 "execution_count": 14,
0575 "metadata": {},
0576 "outputs": [],
0577 "source": [
0578 "df = pd.read_csv(\n",
0579 " \"/Users/pagessin/dev/acts-core/build/magfield_lookup.csv\", delimiter=\";\"\n",
0580 ")\n",
0581 "df[\"r\"] = np.sqrt(df.x**2 + df.y**2)\n",
0582 "df[\"B_r\"] = np.sqrt(df.B_x**2 + df.B_y**2)\n",
0583 "df[\"B\"] = np.sqrt(df.B_x**2 + df.B_y**2 + df.B_z**2)\n",
0584 "df[\"Bm_r\"] = np.sqrt(df.Bm_x**2 + df.Bm_y**2)\n",
0585 "df[\"Bm\"] = np.sqrt(df.Bm_x**2 + df.Bm_y**2 + df.Bm_z**2)\n",
0586 "df[\"Berr\"] = (df.B - df.Bm) / df.B\n",
0587 "df[\"Babserr\"] = np.abs(df.B - df.Bm) / df.B\n",
0588 "df[\"B_ratio\"] = df.Bm / df.B\n",
0589 "# display(df.head())\n",
0590 "# display(df.tail())"
0591 ]
0592 },
0593 {
0594 "cell_type": "code",
0595 "execution_count": 15,
0596 "metadata": {},
0597 "outputs": [],
0598 "source": [
0599 "# df = df[df[\"r\"] < 1220]"
0600 ]
0601 },
0602 {
0603 "cell_type": "code",
0604 "execution_count": 16,
0605 "metadata": {},
0606 "outputs": [
0607 {
0608 "name": "stdout",
0609 "output_type": "stream",
0610 "text": [
0611 "0 1882 -4349 4350\n"
0612 ]
0613 }
0614 ],
0615 "source": [
0616 "rmin, rmax = math.floor(df.r.min()), math.ceil(df.r.max())\n",
0617 "zmin, zmax = math.floor(df.z.min()), math.ceil(df.z.max())\n",
0618 "print(rmin, rmax, zmin, zmax)"
0619 ]
0620 },
0621 {
0622 "cell_type": "code",
0623 "execution_count": 20,
0624 "metadata": {},
0625 "outputs": [
0626 {
0627 "data": {
0628 "image/png": 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\n",
0629 "text/plain": [
0630 "<Figure size 864x504 with 2 Axes>"
0631 ]
0632 },
0633 "metadata": {
0634 "needs_background": "light"
0635 },
0636 "output_type": "display_data"
0637 },
0638 {
0639 "data": {
0640 "image/png": 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\n",
0641 "text/plain": [
0642 "<Figure size 864x504 with 2 Axes>"
0643 ]
0644 },
0645 "metadata": {
0646 "needs_background": "light"
0647 },
0648 "output_type": "display_data"
0649 },
0650 {
0651 "data": {
0652 "image/png": 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\n",
0653 "text/plain": [
0654 "<Figure size 864x504 with 2 Axes>"
0655 ]
0656 },
0657 "metadata": {
0658 "needs_background": "light"
0659 },
0660 "output_type": "display_data"
0661 },
0662 {
0663 "data": {
0664 "image/png": 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\n",
0665 "text/plain": [
0666 "<Figure size 864x504 with 2 Axes>"
0667 ]
0668 },
0669 "metadata": {
0670 "needs_background": "light"
0671 },
0672 "output_type": "display_data"
0673 }
0674 ],
0675 "source": [
0676 "def hist(x, y, v, bins, extent):\n",
0677 " hist, *_ = scipy.stats.binned_statistic_2d(x, y, v, bins=bins)\n",
0678 " plt.imshow(hist, origin=\"lower\", extent=extent, aspect=\"auto\")\n",
0679 "\n",
0680 "\n",
0681 "bins = (50, 25)\n",
0682 "\n",
0683 "hist(df.r, df.z, df.B, bins=bins, extent=(zmin, zmax, rmin, rmax))\n",
0684 "plt.colorbar()\n",
0685 "plt.show()\n",
0686 "hist(df.r, df.z, df.Bm, bins=bins, extent=(zmin, zmax, rmin, rmax))\n",
0687 "plt.colorbar()\n",
0688 "plt.show()\n",
0689 "hist(df.r, df.z, df.Babserr, bins=bins, extent=(zmin, zmax, rmin, rmax))\n",
0690 "plt.colorbar()\n",
0691 "plt.show()\n",
0692 "hist(df.r, df.z, df.B_ratio, bins=bins, extent=(zmin, zmax, rmin, rmax))\n",
0693 "plt.colorbar()\n",
0694 "plt.show()"
0695 ]
0696 },
0697 {
0698 "cell_type": "code",
0699 "execution_count": 18,
0700 "metadata": {},
0701 "outputs": [
0702 {
0703 "data": {
0704 "text/plain": [
0705 "<matplotlib.legend.Legend at 0x124ef0690>"
0706 ]
0707 },
0708 "execution_count": 18,
0709 "metadata": {},
0710 "output_type": "execute_result"
0711 },
0712 {
0713 "data": {
0714 "image/png": 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\n",
0715 "text/plain": [
0716 "<Figure size 864x504 with 1 Axes>"
0717 ]
0718 },
0719 "metadata": {
0720 "needs_background": "light"
0721 },
0722 "output_type": "display_data"
0723 }
0724 ],
0725 "source": [
0726 "plt.semilogy()\n",
0727 "bins = 200\n",
0728 "# print(plt.xlabel)\n",
0729 "plt.title(\"Mapped field value over 'true' field value\")\n",
0730 "plt.xlabel(r\"$B_{m}/B$\")\n",
0731 "plt.ylabel(\"count\")\n",
0732 "plt.hist(df.B_ratio[df.r > 100], bins=bins, range=(0, 5), label=r\"$r>100$\")\n",
0733 "plt.hist(\n",
0734 " df.B_ratio[df.r < 100],\n",
0735 " histtype=\"step\",\n",
0736 " bins=bins,\n",
0737 " range=(0, 5),\n",
0738 " fill=False,\n",
0739 " linewidth=3,\n",
0740 " label=r\"$r<100$\",\n",
0741 ")\n",
0742 "plt.legend()\n",
0743 "# df.Berr[df.Berr > -2].min()"
0744 ]
0745 },
0746 {
0747 "cell_type": "code",
0748 "execution_count": null,
0749 "metadata": {},
0750 "outputs": [],
0751 "source": []
0752 },
0753 {
0754 "cell_type": "code",
0755 "execution_count": 19,
0756 "metadata": {},
0757 "outputs": [
0758 {
0759 "data": {
0760 "image/png": 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\n",
0761 "text/plain": [
0762 "<Figure size 864x504 with 2 Axes>"
0763 ]
0764 },
0765 "metadata": {
0766 "needs_background": "light"
0767 },
0768 "output_type": "display_data"
0769 },
0770 {
0771 "data": {
0772 "image/png": 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\n",
0773 "text/plain": [
0774 "<Figure size 864x504 with 2 Axes>"
0775 ]
0776 },
0777 "metadata": {
0778 "needs_background": "light"
0779 },
0780 "output_type": "display_data"
0781 }
0782 ],
0783 "source": [
0784 "def hist1d(x, y, **kwargs):\n",
0785 " x = np.copy(x)\n",
0786 " step = abs(x[1] - x[0])\n",
0787 " xmin, xmax = x.min(), x.max()\n",
0788 " # print(x)\n",
0789 " x += step / 2\n",
0790 " # print(x)\n",
0791 " plt.hist(x[:-1], bins=len(x) - 1, weights=y, range=(xmin, xmax), **kwargs)\n",
0792 "\n",
0793 "\n",
0794 "plt.subplot(211)\n",
0795 "hist, bin_edges_r, _ = scipy.stats.binned_statistic(df.r, df.B, bins=50)\n",
0796 "plt.xlabel(\"r [mm]\")\n",
0797 "plt.ylabel(r\"$B_{\\rm{solenoid}}$\")\n",
0798 "hist1d(bin_edges_r, hist)\n",
0799 "hist_bm, _, _ = scipy.stats.binned_statistic(df.r, df.Bm, bins=50)\n",
0800 "hist1d(bin_edges_r, hist_bm, histtype=\"step\", fill=False, lw=3)\n",
0801 "\n",
0802 "ratio_r = hist_bm / hist\n",
0803 "plt.subplot(212)\n",
0804 "plt.plot(bin_edges_r[:-1], ratio_r)\n",
0805 "plt.xlabel(\"z [mm]\")\n",
0806 "plt.ylabel(r\"$B_m / b$\")\n",
0807 "plt.show()\n",
0808 "\n",
0809 "plt.subplot(211)\n",
0810 "hist, bin_edges_z, _ = scipy.stats.binned_statistic(df.z, df.B, bins=50)\n",
0811 "plt.xlabel(\"z [mm]\")\n",
0812 "plt.ylabel(r\"$B_{\\rm{solenoid}}$\")\n",
0813 "hist1d(bin_edges_z, hist)\n",
0814 "hist_bm, _, _ = scipy.stats.binned_statistic(df.z, df.Bm, bins=50)\n",
0815 "hist1d(bin_edges_z, hist_bm, histtype=\"step\", fill=False, lw=3)\n",
0816 "\n",
0817 "ratio_z = hist_bm / hist\n",
0818 "plt.subplot(212)\n",
0819 "plt.plot(bin_edges_z[:-1], ratio_z)\n",
0820 "plt.xlabel(\"z [mm]\")\n",
0821 "plt.ylabel(r\"$B_m / b$\")\n",
0822 "plt.show()"
0823 ]
0824 },
0825 {
0826 "cell_type": "code",
0827 "execution_count": null,
0828 "metadata": {},
0829 "outputs": [],
0830 "source": []
0831 }
0832 ],
0833 "metadata": {
0834 "kernelspec": {
0835 "display_name": "Python 3",
0836 "language": "python",
0837 "name": "python3"
0838 },
0839 "language_info": {
0840 "codemirror_mode": {
0841 "name": "ipython",
0842 "version": 3
0843 },
0844 "file_extension": ".py",
0845 "mimetype": "text/x-python",
0846 "name": "python",
0847 "nbconvert_exporter": "python",
0848 "pygments_lexer": "ipython3",
0849 "version": "3.7.7"
0850 }
0851 },
0852 "nbformat": 4,
0853 "nbformat_minor": 4
0854 }