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{
"cells": [
{
"cell_type": "code",
"execution_count": 9,
"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": 10,
"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": 11,
"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": 12,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"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": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2000x800 with 3 Axes>"
]
},
"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": 14,
"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",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"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",
"})\n",
"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",
")\n",
"nbins = 100\n",
"vmax = 50\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": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Parameterisation for rad_length_frac:\n",
"intercept= 0.0\n",
"coef= {'1': 0.4479234646536249, 'x': -0.0004084072172278079, 'y': -0.0004337281522268355, 'tx': 0.36162738714391346, 'ty': 0.3074416852772706, 'qop': 8.6879246998874, 'x^2': 6.870638463563449e-05, 'x y': -0.00012148333505099224, 'x tx': -0.08753632946361847, 'x ty': -0.008841630356866574, 'x qop': 2.3636302084612413, 'y^2': -0.00010231235440107948, 'y tx': 0.18497450621593262, 'y ty': 0.1675559125761048, 'y qop': -4.153708925054445, 'tx^2': 23.782917176875543, 'tx ty': -66.05577891519296, 'tx qop': -1451.879997584788, 'ty^2': -72.70407315466386, 'ty qop': 2811.440565472475, 'qop^2': 25.48376520289995, 'x^3': 3.312211575601438e-06, 'x^2 y': 4.1376174463449524e-06, 'x^2 tx': -0.007073302591271084, 'x^2 ty': -0.007343778680981201, 'x^2 qop': -0.010800896868279859, 'x y^2': -1.888730589918227e-06, 'x y tx': -0.0015500723141160817, 'x y ty': 0.003351080332733322, 'x y qop': -0.01735357445380728, 'x tx^2': 4.990549905339206, 'x tx ty': 7.558985701868668, 'x tx qop': 4.476707229937508, 'x ty^2': -1.104445169997775, 'x ty qop': -9.151537967253478, 'x qop^2': -910.3882764082207, 'y^3': -1.052533550094381e-06, 'y^2 tx': 0.0005507301794551722, 'y^2 ty': 0.002357501338451584, 'y^2 qop': 0.007420585610647734, 'y tx^2': -1.250712090046683, 'y tx ty': -1.5531355410763075, 'y tx qop': 19.84686939382025, 'y ty^2': -1.7462277992951187, 'y ty qop': -5.356037569819987, 'y qop^2': -279.7638120237527, 'tx^3': -1165.212129591651, 'tx^2 ty': -1478.3661751151212, 'tx^2 qop': 11.51188378893173, 'tx ty^2': 595.4188893174843, 'tx ty qop': 230.63755941369075, 'tx qop^2': -0.10882234534500138, 'ty^3': 429.2917082507941, 'ty^2 qop': -82.0662171571117, 'ty qop^2': -1.9459565902791414, 'qop^3': 0.024415724018080082, 'x^4': -1.475717681387323e-08, 'x^3 y': -8.159629061310625e-08, 'x^3 tx': 1.8736542919839394e-05, 'x^3 ty': 0.00021665972144546686, 'x^3 qop': 0.0006989376250565726, 'x^2 y^2': 2.718623193231906e-08, 'x^2 y tx': -2.4239682488769176e-05, 'x^2 y ty': -8.084108489470054e-05, 'x^2 y qop': -0.003167100608976625, 'x^2 tx^2': 0.008320473005383633, 'x^2 tx ty': -0.31099673106925607, 'x^2 tx qop': -0.9590579633902261, 'x^2 ty^2': -0.06873651193829033, 'x^2 ty qop': 5.972868443095723, 'x^2 qop^2': 8.034990024240143, 'x y^3': 4.6192553782020696e-08, 'x y^2 tx': 1.2378456318629105e-05, 'x y^2 ty': -5.5412774827345856e-05, 'x y^2 qop': -0.0013019927555433242, 'x y tx^2': 0.15448353292862294, 'x y tx ty': 0.2778324639753933, 'x y tx qop': -1.204014224641027, 'x y ty^2': 0.016434784323337226, 'x y ty qop': 2.818541810627377, 'x y qop^2': 8.034350363325663, 'x tx^3': -18.77883071123092, 'x tx^2 ty': 117.5404832475735, 'x tx^2 qop': 350.73626782625695, 'x tx ty^2': -43.39398761296841, 'x tx ty qop': -3601.6230380405145, 'x tx qop^2': -33.190862612375746, 'x ty^3': 0.3797357610145699, 'x ty^2 qop': -1234.3747950404918, 'x ty qop^2': 83.83558397109758, 'x qop^3': -5.702215445849627, 'y^4': -2.336150828341488e-09, 'y^3 tx': -4.0570866303824005e-05, 'y^3 ty': -2.348613449498771e-06, 'y^3 qop': 0.001158537918854563, 'y^2 tx^2': -0.1482288223321575, 'y^2 tx ty': 0.04527719555944287, 'y^2 tx qop': -1.0009453937475368, 'y^2 ty^2': 0.013540534251312408, 'y^2 ty qop': -1.6075747378736662, 'y^2 qop^2': -9.84256818846896, 'y tx^3': -69.10849756704471, 'y tx^2 ty': 21.121054597115727, 'y tx^2 qop': 1848.9215712994694, 'y tx ty^2': -9.234237076693203, 'y tx ty qop': 564.3519892221238, 'y tx qop^2': 68.38095505038116, 'y ty^3': -12.464249025545804, 'y ty^2 qop': 551.51219619504, 'y ty qop^2': 39.825100090236965, 'y qop^3': -1.0176409285192534, 'tx^4': 6221.962679980016, 'tx^3 ty': -3592.5750251228064, 'tx^3 qop': -27.664174751180994, 'tx^2 ty^2': 2731.878418172401, 'tx^2 ty qop': 13.736715296965578, 'tx^2 qop^2': -0.04199811775300766, 'tx ty^3': -2185.0268615440154, 'tx ty^2 qop': -15.049641135727613, 'tx ty qop^2': 0.13949642224427028, 'tx qop^3': -0.008320294336365015, 'ty^4': 3532.7413364811573, 'ty^3 qop': 24.266869324033923, 'ty^2 qop^2': 0.13092733573127732, 'ty qop^3': -0.0016184008383619774, 'qop^4': -0.00044028977350282306}\n",
"r2 score= 0.005485148161997189\n",
"RMSE = 0.27783626532276307\n",
"\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rad_length_frac = lost[\"rad_length_frac\"]\n",
"# @ z = 9400.mm or 770.mm\n",
"state = 1\n",
"\n",
"if state == 1:\n",
" slopex = lost[\"ideal_state_770_tx\"]\n",
" slopey = lost[\"ideal_state_770_ty\"]\n",
" x = lost[\"ideal_state_770_x\"]\n",
" y = lost[\"ideal_state_770_y\"]\n",
" qop = lost[\"ideal_state_770_qop\"]\n",
"elif state == 2:\n",
" slopex = lost[\"ideal_state_9410_tx\"]\n",
" slopey = lost[\"ideal_state_9410_ty\"]\n",
" x = lost[\"ideal_state_9410_x\"]\n",
" y = lost[\"ideal_state_9410_y\"]\n",
" qop = lost[\"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",
"})\n",
"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",
")\n",
"\n",
"nbins = 100\n",
"vmax = 50\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 * stretch_factor,\n",
" range=[[-0.1, 1.0], [-0.1, 1.0]],\n",
")\n",
"plt.plot([-0.1, 1], [-0.1, 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\"lost 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": [
"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
}