{ "cells": [ { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "import uproot\t\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pylab\n", "from mpl_toolkits import mplot3d\n", "import awkward as ak\n", "from scipy.optimize import curve_fit\n", "from methods.fit_linear_regression_model import fit_linear_regression_model\n", "import sklearn\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "40402 10099\n", "50501\n" ] } ], "source": [ "file = uproot.open(\n", " \"tracking_losses_ntuple_B_default_radlength_beginVelo.root:PrDebugTrackingLosses.PrDebugTrackingTool/Tuple;1\"\n", ")\n", "\n", "# selektiere nur elektronen von B->K*ee\n", "allcolumns = file.arrays()\n", "found = allcolumns[\n", " (allcolumns.isElectron) & (~allcolumns.lost) & (allcolumns.fromB)\n", "] # B: 9056\n", "lost = allcolumns[\n", " (allcolumns.isElectron) & (allcolumns.lost) & (allcolumns.fromB)\n", "] # B: 1466\n", "\n", "electrons = allcolumns[(allcolumns.isElectron) & (allcolumns.fromB)]\n", "\n", "print(ak.num(found, axis=0), ak.num(lost, axis=0))\n", "print(ak.num(electrons, axis=0))\n", "# ak.count(found, axis=None)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "stretch factor: 0.24996287312509283\n" ] } ], "source": [ "rad_length_found = ak.to_numpy(found[\"rad_length_frac\"])\n", "eta_found = ak.to_numpy(found[\"eta\"])\n", "phi_found = ak.to_numpy(found[\"phi\"])\n", "\n", "rad_length_lost = ak.to_numpy(lost[\"rad_length_frac\"])\n", "eta_lost = ak.to_numpy(lost[\"eta\"])\n", "phi_lost = ak.to_numpy(lost[\"phi\"])\n", "\n", "stretch_factor = ak.num(eta_lost, axis=0) / ak.num(eta_found, axis=0)\n", "print(\"stretch factor: \", stretch_factor)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(\n", " rad_length_lost,\n", " bins=100,\n", " density=True,\n", " alpha=0.5,\n", " color=\"darkorange\",\n", " histtype=\"bar\",\n", " label=\"lost\",\n", " range=[0, 1],\n", ")\n", "plt.hist(\n", " rad_length_found,\n", " bins=100,\n", " density=True,\n", " alpha=0.5,\n", " color=\"blue\",\n", " histtype=\"bar\",\n", " label=\"found\",\n", " range=[0, 1],\n", ")\n", "plt.xlim(0, 1)\n", "# plt.yscale(\"log\")\n", "plt.title(\"radiation length fraction beginVelo\")\n", "plt.xlabel(f\"$x/X_0$\")\n", "plt.ylabel(\"a.u.\")\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nbins = 100\n", "vmax = 60\n", "\n", "fig, ((ax0, ax1)) = plt.subplots(nrows=1, ncols=2, figsize=(20, 8))\n", "\n", "a0 = ax0.hist2d(\n", " rad_length_found,\n", " eta_found,\n", " density=False,\n", " bins=nbins,\n", " cmap=plt.cm.jet,\n", " cmin=1,\n", " vmax=vmax,\n", " range=[[0, 0.6], [2, 5]],\n", ")\n", "ax0.set_xlabel(f\"$x/X_0$\")\n", "ax0.set_ylabel(f\"$\\eta$\")\n", "ax0.set_title(f\"found $\\eta$ rad_length_frac\")\n", "\n", "a1 = ax1.hist2d(\n", " rad_length_lost,\n", " eta_lost,\n", " density=False,\n", " bins=nbins,\n", " cmap=plt.cm.jet,\n", " cmin=1,\n", " vmax=vmax * stretch_factor,\n", " range=[[0, 0.6], [2, 5]],\n", ")\n", "ax1.set_xlabel(f\"$x/X_0$\")\n", "ax1.set_ylabel(f\"$\\eta$\")\n", "ax1.set_title(f\"lost $\\eta$ rad_length_frac\")\n", "# ax1.set(xlim=(0,4000), ylim=(-1000,1000))\n", "\n", "plt.suptitle(\"radiation length fraction and eta beginVelo\")\n", "plt.colorbar(a0[3], ax=ax1)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "rad_length_frac = found[\"rad_length_frac\"]\n", "# @ z = 9400.mm or 770.mm\n", "state = 1\n", "\n", "if state == 1:\n", " slopex = found[\"ideal_state_770_tx\"]\n", " slopey = found[\"ideal_state_770_ty\"]\n", " x = found[\"ideal_state_770_x\"]\n", " y = found[\"ideal_state_770_y\"]\n", " qop = found[\"ideal_state_770_qop\"]\n", "elif state == 2:\n", " slopex = found[\"ideal_state_9410_tx\"]\n", " slopey = found[\"ideal_state_9410_ty\"]\n", " x = found[\"ideal_state_9410_x\"]\n", " y = found[\"ideal_state_9410_y\"]\n", " qop = found[\"ideal_state_9410_qop\"]\n", "\n", "data = ak.zip({\n", " \"rad_length_frac\": rad_length_frac,\n", " \"x\": x,\n", " \"y\": y,\n", " \"tx\": slopex,\n", " \"ty\": slopey,\n", " \"qop\": qop,\n", "})" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameterisation for rad_length_frac:\n", "intercept= 0.0\n", "coef= {'1': 0.4397780582886272, 'x': -0.00033503537608265674, 'y': -4.789321464958182e-05, 'tx': 0.29235639572920724, 'ty': 0.04582618208302177, 'qop': -6.415064049320476, 'x^2': -1.7148780985188313e-05, 'x y': 6.213092137729638e-05, 'x tx': 0.0357792373581695, 'x ty': -0.03383507316198001, 'x qop': 5.411983741236269, 'y^2': -0.0001816058133305051, 'y tx': -0.060157737422332554, 'y ty': 0.3005860193729231, 'y qop': -0.5258168180545822, 'tx^2': -20.581151289333324, 'tx ty': 33.044369657406456, 'tx qop': -4029.9409136973454, 'ty^2': -125.62371943789807, 'ty qop': 353.08874965548245, 'qop^2': -3.455196781164501, 'x^3': 1.5371780097645036e-07, 'x^2 y': -1.2426481494632311e-06, 'x^2 tx': -0.0003102207951011151, 'x^2 ty': 0.0008294673378711963, 'x^2 qop': -0.0013130710648701907, 'x y^2': 1.3249247615395102e-07, 'x y tx': 0.0018733641082853674, 'x y ty': 0.0011459295349262105, 'x y qop': 0.0019703515773188207, 'x tx^2': 0.20678893428535178, 'x tx ty': -1.2036256002683805, 'x tx qop': 0.5976253324202965, 'x ty^2': -1.0782570211818505, 'x ty qop': 102.9459912574048, 'x qop^2': -399.16918894718305, 'y^3': 6.233244675968308e-07, 'y^2 tx': -0.0013994133271424403, 'y^2 ty': -0.001494031769823323, 'y^2 qop': 0.000739172959467016, 'y tx^2': -0.7290175680182052, 'y tx ty': 1.243439836769458, 'y tx qop': -105.55527881418587, 'y ty^2': 1.1837378224511292, 'y ty qop': -0.7657500120637686, 'y qop^2': 337.9089334089693, 'tx^3': -46.002810282557306, 'tx^2 ty': 453.57769058127064, 'tx^2 qop': -38.01772137810428, 'tx ty^2': -37.626648454968965, 'tx ty qop': 1.8221207378503694, 'tx qop^2': -0.40208255096589585, 'ty^3': -309.9803925733283, 'ty^2 qop': 15.736234283455065, 'ty qop^2': 0.6119680938280082, 'qop^3': -0.0011848472786331894, 'x^4': 1.4258219493967772e-08, 'x^3 y': -2.866883619390137e-09, 'x^3 tx': -4.622450717306492e-05, 'x^3 ty': -9.82760022623097e-05, 'x^3 qop': -0.0003703064328215433, 'x^2 y^2': -2.5736142106325133e-09, 'x^2 y tx': 0.00010255319807583874, 'x^2 y ty': 4.727919866809316e-05, 'x^2 y qop': -0.0006108544453127251, 'x^2 tx^2': 0.0554175462089006, 'x^2 tx ty': 0.16472559466997527, 'x^2 tx qop': 0.4783758545936343, 'x^2 ty^2': -0.029491297111002623, 'x^2 ty qop': 0.4072459238308874, 'x^2 qop^2': 1.274082272606741, 'x y^3': 1.019856199491187e-08, 'x y^2 tx': -4.0220230914655986e-05, 'x y^2 ty': -7.807169754414645e-05, 'x y^2 qop': 0.0009660222713137046, 'x y tx^2': -0.1655492341343554, 'x y tx ty': -0.026431127204681104, 'x y tx qop': 0.6220634937641649, 'x y ty^2': 0.09539033507193473, 'x y ty qop': -1.5617368820840163, 'x y qop^2': 9.235370076473936, 'x tx^3': -29.04572443637665, 'x tx^2 ty': -68.28508620169197, 'x tx^2 qop': -138.17259913877646, 'x tx ty^2': 35.45859347871301, 'x tx ty qop': -273.5835489656032, 'x tx qop^2': -13.43661305575325, 'x ty^3': -32.63704432223729, 'x ty^2 qop': 266.4268072225656, 'x ty qop^2': -19.06231959583929, 'x qop^3': 1.7675392248918753, 'y^4': -5.9619367220875574e-09, 'y^3 tx': 5.3697276143793715e-05, 'y^3 ty': 1.6576491020714457e-05, 'y^3 qop': -0.00017261869555795784, 'y^2 tx^2': 0.05014539344681879, 'y^2 tx ty': -0.07584181301500559, 'y^2 tx qop': -0.11650839062004614, 'y^2 ty^2': -0.015097852966895253, 'y^2 ty qop': 0.30517451156427916, 'y^2 qop^2': -6.650919392954738, 'y tx^3': 67.30430825382783, 'y tx^2 ty': -34.801544500318485, 'y tx^2 qop': -142.686910608299, 'y tx ty^2': 27.185653317937266, 'y tx ty qop': 439.1032304393983, 'y tx qop^2': -18.23933135674488, 'y ty^3': 4.265555264813383, 'y ty^2 qop': -131.08781810964697, 'y ty qop^2': 34.20534645433437, 'y qop^3': 0.11852127731033578, 'tx^4': 5649.699838454551, 'tx^3 ty': 329.9615549901753, 'tx^3 qop': -5.54031835759426, 'tx^2 ty^2': 584.460443200635, 'tx^2 ty qop': -0.7411483064667538, 'tx^2 qop^2': -0.03588219456135393, 'tx ty^3': 173.96226240131907, 'tx ty^2 qop': 1.0493642752682577, 'tx ty qop^2': -0.052660249222163585, 'tx qop^3': 0.001973073444663188, 'ty^4': 215.62061929608907, 'ty^3 qop': -0.5416245412488983, 'ty^2 qop^2': 0.09234573370962393, 'ty qop^3': 0.0002451739001199065, 'qop^4': 2.303474287996047e-05}\n", "r2 score= 0.07032743800675567\n", "RMSE = 0.1530771991719649\n", "Type \n" ] } ], "source": [ "lin_reg, features, xx0_test, xx0_predicted = fit_linear_regression_model(\n", " data,\n", " \"rad_length_frac\",\n", " [\"x\", \"y\", \"tx\", \"ty\", \"qop\"],\n", " 4,\n", " include_bias=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nbins = 100\n", "vmax = 40\n", "\n", "a0 = plt.hist2d(\n", " xx0_test,\n", " xx0_predicted,\n", " density=False,\n", " bins=nbins,\n", " cmap=plt.cm.jet,\n", " cmin=1,\n", " vmax=vmax,\n", " range=[[-0.2, 1.0], [-0.2, 1.0]],\n", ")\n", "plt.plot([-0.2, 1], [-0.2, 1], marker=\"\", alpha=0.8)\n", "plt.xlabel(f\"True $x/X_0$\")\n", "plt.ylabel(f\"Predicted $x/X_0$\")\n", "plt.title(f\"found rad_length_frac\")\n", "# ax1.set(xlim=(0,4000), ylim=(-1000,1000))\n", "\n", "plt.colorbar(a0[3])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "test = ak.zip({\n", " \"tx\": slopex,\n", " \"ty\": slopey,\n", " \"x\": x,\n", " \"y\": y,\n", " \"qop\": qop,\n", "})\n", "test = np.column_stack([ak.to_numpy(test[feat]) for feat in features])" ] } ], "metadata": { "kernelspec": { "display_name": "tuner", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 2 }