AMBER/source/tutorials/Simulate_MnF2_data.ipynb
2025-04-17 10:16:35 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "8f9ac288-dfea-438b-a91c-971393102585",
"metadata": {},
"source": [
"# Simulate Neutron Scattering Data"
]
},
{
"cell_type": "markdown",
"id": "256c1739-3586-45cf-8fe3-cb89fdd1a935",
"metadata": {},
"source": [
"> **_NOTE:_** This tutorial requires the installation of the [MJOLNIR package](https://mjolnir.readthedocs.io/). However, no data is required."
]
},
{
"cell_type": "markdown",
"id": "be13ace3-32c1-4985-859f-8f85d48d2394",
"metadata": {},
"source": [
"In this tutorial we will generate synthetic data in the exact same form as measured on the CAMEA instrumnet. We will utilize the case of measuring the magnetic dispersion of single crystal MnF$_2$ as described by [Yamany et al. 2010](https://www.doi.org/10.1139/P10-081). The synthetic data will consist of 12 sample rotation scans as measured on CAMEA. \n",
"\n",
"The dispersion relation of MnF$_2$ can be approximated analytically by:\n",
"\n",
"$$\\omega(H,K,L) = \\sqrt{\\left(2S z_2 J_2+D+2 z_1 S J_1 \\sin{L \\pi}^2\\right)^2-\\left(2 S z_2 J_2 \\cos(H \\pi)\\cos(K \\pi) \\cos(L \\pi)\\right)^2}$$\n",
"\n",
"In the above $J_1$, $J_2$, and $D$ are the magnetic coupling strengths and single-ion anisotropy which determine the amplitude of the dispersion. The parameters $S = 5/2$, $z_1 = 2$, and $z_2 = 8$ corresponds the the size of the magnetic spin, and the number of nearest and next-nearest neighbours in the MnF$_2$ lattice. \n",
"\n",
"From the above equation, the imporant fact is that it depends on the 3D vector $Q = (H,K,L)$. For the specfic crystal orientation, $(H,0,L)$ defines our scattering plane meaning $K$ is zero.\n",
"\n",
"The instrument resolution/response function of CAMEA is not perfect and thus data acquired get smeard. For simplicy, this smearing will be approximated by a 1D Gaussian smearing along the energy direction.\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "d10ed368-5d6d-4507-bfee-602da4366810",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from MJOLNIR.Data import DataSet, Sample, Mask, DataFile, BackgroundModel\n",
"from MJOLNIR import TasUBlibDEG\n",
"from MJOLNIR.Geometry import Instrument\n",
"import copy\n",
"from scipy.optimize import minimize\n",
"from scipy.interpolate import CubicSpline\n"
]
},
{
"cell_type": "markdown",
"id": "f22c9d8a-76af-48df-a0e9-732412b9650b",
"metadata": {},
"source": [
"### Define needed functions for dispersion and SpinWave smearing"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "d21fe066-3051-4872-a201-5f5f884a6390",
"metadata": {},
"outputs": [],
"source": [
"S = 5/2\n",
"z1 = 2\n",
"z2 = 8\n",
"\n",
"def MnF2(Q,J1,J2,D):\n",
" return np.sqrt(np.power(2*S*z2*J2+D+2*z1*S*J1*np.sin(Q[2,:]*np.pi)**2,2.0)-\n",
" np.power(2*S*z2*J2*np.cos(Q[0]*np.pi)*np.cos(Q[1]*np.pi)*np.cos(Q[2]*np.pi),2.0))\n",
"\n",
"def SpinWave(H,K,L,E):\n",
" #ani = 1.2\n",
" #amp = 0.5\n",
" sigmaE = 0.25\n",
" omega = MnF2(np.array([H,K,L]), J1=0.0354,J2=0.1499,D=0.131 )\n",
" I = np.exp(-np.power(omega-E,2.0)/(2*sigmaE**2))\n",
" \n",
" return I"
]
},
{
"cell_type": "markdown",
"id": "040d416e-5e5a-409e-8756-236c46dbd93e",
"metadata": {},
"source": [
"## Generate CAMEA Data files\n",
"\n",
"For this tutorial we will generate 12 data files with the following settings\n",
"\n",
"- $E_i$ = 5, 5.13, 7, 7.13, 9, and 9.13 meV\n",
"- $2\\theta$ = -40 and -44 deg\n",
"- $A_3$ range are [ -45 , 45 ] deg at 5 and 5.13 meV\n",
"- $A_3$ range are [ -37 , 37 ] deg at 7 and 7.13 meV\n",
"- $A_3$ range are [ -29 , 29 ] deg at 9 and 9.13 meV\n",
"\n",
"The lattice parameters of MnF$_2$, needed to generate the correct scattering vectors are \n",
"\n",
"- $a$ = $b$ = 4.873 Å\n",
"- $\\alpha$ = $\\beta$ = $\\gamma$ = 3.3107 deg\n",
"\n",
"For the alignment of the sample, two peaks in the scattering plane (which is $(H,0,L)$) are needed. These are\n",
"\n",
"- r1: [1,0,+1] at $A_3$ = 35.74 deg, $A_4$ = -95.21 deg, and incoming and outoging energy equal at $E_i$ = $E_f$ = 5.0 meV\n",
"- r2: [1,0,-1] at $A_3$ =-32.35 deg, $A_4$ = -95.21 deg, and incoming and outoging energy equal at $E_i$ = $E_f$ = 5.0 meV\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "16297260-ace0-4bb7-bbf8-9e070ace8814",
"metadata": {},
"outputs": [],
"source": [
"dfs = [] # Container for generated DataFiles\n",
"\n",
"for i,ei in enumerate([5,7,9]):\n",
" df = DataFile.DataFile()\n",
"\n",
" # Define sample and initialize sample - All of this is MJOLNIR specific\n",
" s = Sample.Sample(a=4.873,b=4.873,c=3.3107,alpha=90,beta=90,gamma=90)\n",
"\n",
" r1 = np.array([1.0,0.0,1.0,35.74,-95.21,0.0,0,0.0,5.0,5.0])\n",
" r2 = np.array([-1.0,0,1.0,-32.35,-94.64,0.0,0,0.0,5.0,5.0])\n",
" s.plane_vector1 = r1\n",
" s.plane_vector2 = r2\n",
"\n",
" # Vectors defining the main axes\n",
" s.projectionVector1 = np.array([1.0,0.0,0.0])\n",
" s.projectionVector2 = np.array([0.0,0.0,1.0])\n",
" s.planeNormal = np.asarray([0.0,1.0,0.0])\n",
"\n",
" s.plane_vector1 = np.delete(s.plane_vector1,3)\n",
" s.plane_vector1[5:7] = 0.0\n",
" s.plane_vector2 = np.delete(s.plane_vector2,3)\n",
" s.plane_vector2[5:7] = 0.0\n",
" s.orientationMatrix = TasUBlibDEG.calcTasUBFromTwoReflections(s.cell, s.plane_vector1, s.plane_vector2)\n",
"\n",
" s.initialize()\n",
" s.calculateProjections()\n",
"\n",
" s.UB = s.orientationMatrix\n",
"\n",
" # Start to populate the parameters for the data file\n",
" df.A3 = np.linspace(-45-8*i,45-8*i,91)\n",
" df.A4 = np.asarray([-40])\n",
" df.Ei = np.asarray([ei])\n",
" df.Monitor = np.asarray([125000]*len(df.A3))\n",
" df.fileLocation = None\n",
" df.name = 'Test'\n",
"\n",
" \n",
" df.I = np.zeros([len(df.A3),104,1024])\n",
" df.sample = s\n",
"\n",
" # For simplicity, df2 is a deep copy of df1 with only the A4 value changed\n",
" df2 = copy.deepcopy(df)\n",
" df2.A4 = np.asarray([-44])\n",
"\n",
" df3 = copy.deepcopy(df)\n",
" df3.Ei = np.asarray([ei+0.13])\n",
"\n",
" df4 = copy.deepcopy(df2)\n",
" df4.Ei = np.asarray([ei+0.13])\n",
"\n",
" dfs.append(df)\n",
" dfs.append(df2)\n",
" \n",
" dfs.append(df3)\n",
" dfs.append(df4)\n",
"\n",
"# Collect all of the 12 data files into a DataSet\n",
"ds = DataSet.DataSet(dfs)\n",
"\n",
"# Convert utilizing the standard binning 8\n",
"ds.convertDataFile(binning=8)\n",
"\n",
"# To allow a comparison between treated and ground truth data, a compy of the initial DataSet is made\n",
"ds_calculated = copy.deepcopy(ds)\n"
]
},
{
"cell_type": "markdown",
"id": "50a47452-5217-4aac-b071-2c57c7b83a5d",
"metadata": {},
"source": [
"### Addition of noise and background\n",
"As described in the documentation, AMBER expects the background signal to be smoothly varying in all 3 directions as well as to be independent of rotations around the origin, i.e. $(0,0,0)$. In the following, such a background, mimicing real world background, is generated and added to the intensity in the DataFiles. In addition, due to the Poisson nature of counting statistics, which neutron scattering falls under, the final neutron count will be found from the calcualted intensity subject to Poisson noice"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "be9bb08d-c82c-4718-92ed-6a5dc0260ff9",
"metadata": {},
"outputs": [],
"source": [
"\n",
"def A4BG(a4,A):\n",
" gamma = 10\n",
" return 2*A*((gamma/(a4**2+gamma**2))+0.02*np.exp(-np.power(a4+120,2.0)/(2*20**2)))\n",
"\n",
"# Containers to retain the different contributions\n",
"trueForeground = []\n",
"trueRandomBackground = []\n",
"trueA3IndependentBackground = []\n",
"\n",
"for d,d_calcualted in zip(ds,ds_calculated):\n",
" trueForeground.append(np.round(SpinWave(d.h,d.k,d.l,d.energy)*(d.Monitor*d.Norm)))\n",
" trueRandomBackground.append(np.ones(d.I.shape)*0.01)\n",
" trueA3IndependentBackground.append(A4BG(d.instrumentCalibrationA4+d.A4,A=50*10).reshape(1,104,64))\n",
" d.I =np.random.poisson(trueForeground[-1])\n",
" d.I+=np.random.poisson(trueRandomBackground[-1]) # constant Background\n",
" d.I+=np.random.poisson(trueA3IndependentBackground[-1])\n",
"\n",
" d_calcualted.I =np.random.poisson(trueForeground[-1])"
]
},
{
"cell_type": "markdown",
"id": "012f2897-84af-45c1-af64-35755d735933",
"metadata": {},
"source": [
"## Utilizing some MJOLNIR features to showcase the data\n",
"Following are a couple of plots of the data using MJOLNIR functions"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "73f245e4-a0e1-4db7-bb0a-ec28730c3e57",
"metadata": {},
"outputs": [
{
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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 700x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"\n",
"# Generate 2D cut in momentum transfer and energy\n",
"q1 = np.array([-1.5, 0.0, 0]) # r.l.u.\n",
"q2 = np.array([0, 0.0, 0.0]) # r.l.u.\n",
"EMin = 0.0 # meV\n",
"EMax = 6.0 # meV\n",
"dE = 0.05 # meV\n",
"width = 0.03 # 1/Å orthogonal to cutting direction\n",
"minPixel = 0.03 # 1/Å bin size along cutting direction\n",
"\n",
"ax, *d = ds.plotCutQE(q1=q1, q2=q2, EMin=EMin, EMax=EMax, dE = dE, \n",
" width=width, minPixel=minPixel, vmin=0.0, vmax=5,\n",
" colorbar = True)\n",
"\n",
"# Generate a constant energy cut\n",
"EMin = 4.5 # meV\n",
"EMax = 4.55 # meV\n",
"dqx = 0.03 # 1/Å bin size\n",
"dqy = 0.03 # 1/Å bin size\n",
"\n",
"\n",
"ax, *d = ds.plotQPlane(EMin=EMin,EMax=EMax, xBinTolerance=dqx, yBinTolerance=dqy, \n",
" vmin=0.0, vmax=5,colorbar = True)"
]
},
{
"cell_type": "markdown",
"id": "6bd0bbba-3255-45ac-861a-236085bc28b3",
"metadata": {},
"source": [
"## Initialize AMBER background"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f7ea4236-8f1e-4edd-90d0-8b90ad7f1469",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Anaconda\\envs\\python311\\Lib\\site-packages\\MJOLNIR\\Data\\BackgroundModel.py:309: RuntimeWarning: invalid value encountered in divide\n",
" self.I = np.divide(self.data[0] * self.data[-1], self.data[1] * self.data[2])\n"
]
}
],
"source": [
"AB = BackgroundModel.AMBERBackground(ds,dQx = 0.03, dQy = 0.03, dE = 0.05, beta=100)\n",
"AB.set_radial_bins()"
]
},
{
"cell_type": "markdown",
"id": "bf3bb3ac-b1c3-4e9f-9926-87d43d6ac4a4",
"metadata": {},
"source": [
"## Minimize RMSQ for beta\n",
"\n",
"> **_NOTE:_** Running the cross-normalization will take quite some time. > 5-10 minutes!\n",
"\n",
"To perform a cross validation of the $\\beta$ value, on needs to set the qantile level where only background is left. That is, byt masking out higher intensity regions one can assume that the original minimization problem only contain the data and the background, i.e.\n",
"\n",
"$\n",
"\\min_{X,b} \\frac{1}{2}\\lVert Y-X-\\mathcal{R}b\\rVert_{2}^2+\\lambda\\vert| X |\\vert_{1} +\\frac{\\beta}{2} \\mathrm{Tr} \\left( b^T L_{b} b \\right) +\\frac{\\mu}{2} \\boldsymbol{1}_{n_x}^TX^T L_{\\omega} X\\boldsymbol{1}_{n_y}\n",
"$\n",
"\n",
"becomes\n",
"\n",
"$\n",
"\\min_{b} \\frac{1}{2}\\lVert Y-\\mathcal{R}b\\rVert_{2}^2+\\frac{\\beta}{2} \\mathrm{Tr} \\left( b^T L_{b} b \\right) \n",
"$\n",
"\n",
"For the above data set, a value of 0.75 (the default setting) is suitable. \n",
"\n",
"### Minimization methods\n",
"\n",
"One can do two things to find the optimal $\\beta$ value\n",
"\n",
"1. Calculate the RMSE across multiple decades and interpolate\n",
"2. Perform a minimization\n",
"\n",
"\n",
"It is adviced to first perform a coarse calculation for then to perform the minimization as the latter can be quite time-consuming."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "af82019c-84fd-47ff-844c-81c2becb4a7f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"q=0.75, beta=array([ 1, 3, 7, 10, 30, 70, 100, 300, 700, 1000]), l=0.2665642114325497, mu=0.2427590851339083, n_epochs=20, verbose=False\n",
"Test - ( 1 )\n",
"RMSE - ( 0.2665642114325497 1 0.2427590851339083 ) : 0.10329160145964443\n",
"Test - ( 3 )\n",
"RMSE - ( 0.2665642114325497 3 0.2427590851339083 ) : 0.1028468402733826\n",
"Test - ( 7 )\n",
"RMSE - ( 0.2665642114325497 7 0.2427590851339083 ) : 0.10225770010882033\n",
"Test - ( 10 )\n",
"RMSE - ( 0.2665642114325497 10 0.2427590851339083 ) : 0.1019720100920882\n",
"Test - ( 30 )\n",
"RMSE - ( 0.2665642114325497 30 0.2427590851339083 ) : 0.10156595368428951\n",
"Test - ( 70 )\n",
"RMSE - ( 0.2665642114325497 70 0.2427590851339083 ) : 0.10227250242411776\n",
"Test - ( 100 )\n",
"RMSE - ( 0.2665642114325497 100 0.2427590851339083 ) : 0.10292055384172495\n",
"Test - ( 300 )\n",
"RMSE - ( 0.2665642114325497 300 0.2427590851339083 ) : 0.10781518872596527\n",
"Test - ( 700 )\n",
"RMSE - ( 0.2665642114325497 700 0.2427590851339083 ) : 0.11480259052941344\n",
"Test - ( 1000 )\n",
"RMSE - ( 0.2665642114325497 1000 0.2427590851339083 ) : 0.11836036118710512\n"
]
}
],
"source": [
"# We define a list of reasonable beta values distributed over 3 orders of magnitude\n",
"\n",
"beta = [1,3,7,10,30,70,100,300,700,1000]\n",
"RMSE = AB.cross_validation(q=0.75, beta = beta,verbose=False,n_epochs=20)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "ef25cca1-bc0b-4842-a7a3-3dbfd173d052",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x211ecd07490>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# As a guide to the eye, a Cubic Spline will be added\n",
"\n",
"interpolation = CubicSpline(np.asarray(beta),RMSE)\n",
"x = np.linspace(np.min(beta),np.max(beta),201)\n",
"y = interpolation(x)\n",
"\n",
"fig,ax = plt.subplots()\n",
"\n",
"ax.scatter(beta,RMSE,label='Calculated')\n",
"ax.plot(x,y,'--',label='Interpolation')\n",
"\n",
"ax.set_xlabel('Beta')\n",
"ax.set_ylabel('RMSE')\n",
"\n",
"\n",
"x2 = np.linspace(0,100,501)\n",
"y2 = interpolation(x2)\n",
"\n",
"xmin,ymin = x2[np.argmin(y2)],y2[np.argmin(y2)]\n",
"\n",
"fig,ax = plt.subplots()\n",
"ax.scatter(beta,RMSE,label='Calculated')\n",
"ax.plot(x2,y2,'--',label='Interpolation')\n",
"ax.scatter(xmin,ymin,label='minimum',color='r')\n",
"\n",
"ax.set_xlabel('Beta')\n",
"ax.set_ylabel('RMSE')\n",
"ax.set_xlim(0,100)\n",
"ax.set_ylim(0.1010,0.1040)\n",
"ax.legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "de8fef6b-5e63-43b7-bbf7-928d2993adda",
"metadata": {},
"outputs": [],
"source": [
"# If the above has been run, utilize that value otherwise set ymin to 23.4\n",
"\n",
"xmin = 23.4\n",
"\n",
"func = lambda beta: AB.cross_validation(q=0.75, beta = beta,verbose=False,n_epochs=20)\n",
"\n",
"result = minimize(func,x0 = [xmin])\n"
]
},
{
"cell_type": "markdown",
"id": "4425261a-3419-499d-ab84-1ac281750b8c",
"metadata": {},
"source": [
"## Generation of AMBER background"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "804af4a9-47e5-49cf-bb7b-7d5aa51022d8",
"metadata": {},
"outputs": [],
"source": [
"AB.beta = xmin"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "9bd8bd87-6230-4d1d-a980-3c83c5fc1573",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Iteration 1\n",
" Loss function: 89216.17289327279\n",
" Iteration 2\n",
" Loss function: 68093.90388265462\n",
" Iteration 3\n",
" Loss function: 57929.508628268115\n",
" Iteration 4\n",
" Loss function: 51147.228477046934\n",
" Iteration 5\n",
" Loss function: 46560.03500671341\n",
" Iteration 6\n",
" Loss function: 43283.23323431091\n",
" Iteration 7\n",
" Loss function: 40937.53702364261\n",
" Iteration 8\n",
" Loss function: 39308.08183709762\n",
" Iteration 9\n",
" Loss function: 38236.35126931614\n",
" Iteration 10\n",
" Loss function: 37568.299703508696\n",
" Iteration 11\n",
" Loss function: 37178.28929735461\n",
" Iteration 12\n",
" Loss function: 36963.03718997033\n",
" Iteration 13\n",
" Loss function: 36850.84062922201\n",
" Iteration 14\n",
" Loss function: 36796.66347072205\n",
" Iteration 15\n",
" Loss function: 36772.34667854443\n",
" Iteration 16\n",
" Loss function: 36761.725670802814\n",
" Iteration 17\n",
" Loss function: 36757.366819518116\n",
" Iteration 18\n",
" Loss function: 36755.782935800766\n",
" Iteration 19\n",
" Loss function: 36755.3751834626\n",
" Iteration 20\n",
" Loss function: 36755.43029325381\n",
" Iteration 21\n",
" Loss function: 36755.63232500783\n",
" Iteration 22\n",
" Loss function: 36755.84605170578\n",
" Iteration 23\n",
" Loss function: 36756.02667786971\n"
]
}
],
"source": [
"AB.generateAMBER(n_epochs=25)\n",
"AB.applyAMBER()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "7f104c8d-50a2-4ae7-80ef-75f31a0083c2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 700x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 700x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"\n",
"# Generate 2D cut in momentum transfer and energy\n",
"q1 = np.array([-1.5, 0.0, 0]) # r.l.u.\n",
"q2 = np.array([0, 0.0, 0.0]) # r.l.u.\n",
"EMin = 0.0 # meV\n",
"EMax = 6.0 # meV\n",
"dE = 0.05 # meV\n",
"width = 0.03 # 1/Å orthogonal to cutting direction\n",
"minPixel = 0.03 # 1/Å bin size along cutting direction\n",
"\n",
"ax, *d = ds.plotCutQE(q1=q1, q2=q2, EMin=EMin, EMax=EMax, dE = dE, \n",
" width=width, minPixel=minPixel, vmin=0.0, vmax=3,\n",
" colorbar = True, backgroundSubtraction=False)\n",
"\n",
"ax, *d = ds.plotCutQE(q1=q1, q2=q2, EMin=EMin, EMax=EMax, dE = dE, \n",
" width=width, minPixel=minPixel, vmin=0.0, vmax=3,\n",
" colorbar = True, backgroundSubtraction=True)\n",
"\n",
"# Generate a constant energy cut\n",
"EMin = 4.5 # meV\n",
"EMax = 4.55 # meV\n",
"dqx = 0.03 # 1/Å bin size\n",
"dqy = 0.03 # 1/Å bin size\n",
"\n",
"\n",
"ax, *d = ds.plotQPlane(EMin=EMin,EMax=EMax, xBinTolerance=dqx, yBinTolerance=dqy, \n",
" vmin=0.0, vmax=3,colorbar = True, backgroundSubtraction=False)\n",
"ax, *d = ds.plotQPlane(EMin=EMin,EMax=EMax, xBinTolerance=dqx, yBinTolerance=dqy, \n",
" vmin=0.0, vmax=3,colorbar = True, backgroundSubtraction=True)"
]
},
{
"cell_type": "markdown",
"id": "2e14f805-37bf-434c-ad98-90a701e1b2fd",
"metadata": {},
"source": [
"### Create 1D cuts with overplotting"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "40c4ef59-1e92-46c9-b27b-bdd8f50cc972",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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REZF7mNgRERERKQQTOyIiIiKFYGJHREREpBBM7IiIiIgUgokdERERkUIwsSMiIiJSCCZ2RERERArBxI6IiIhIIZjYERERESkEEzsiIiIihWBiR0RERKQQTOyIiIiIFIKJHREREZFCMLEjIiIiUggmdkREREQKwcSOiIiISCGY2BEREREpBBM7IiIiIoVgYkdERESkEEzsiIiIiBSCiR0RERGRQjCxIyIiIlIIJnZERERECsHEjoiIiEghmNgRERERKQQTOyIiIiKFYGJHREREpBBM7IiIiIgUgokdERERkUIwsSMiIiJSCCZ2RERERArBxI6IiIhIIZjYERERESkEEzsiIiIihWBiR0RERKQQTOyIiIiIFIKJHREREZFC+EViV1NTg969eyM3N9dpma+++grXX389tFotUlNTcejQId8FSERERBQAZE/sqqurcfvttyMvL89pmYqKCtx0000YPHgwDh06hIEDB2Ls2LGoqKjwYaRERERE/k3WxO748eNIS0tDfn5+k+VWr14NjUaDF154AVdeeSWWLl2KNm3aYO3atT6KlIiIiMj/yZrY7dixA8OHD8fevXubLLdv3z6kp6dDkiQAgCRJGDRoULOPIyIiIgomIXI++YwZM1wqV1JSgl69etnsi4+Px7Fjx5w+pqamBjU1NZbt8vLylgVJREREFCBk72PnisrKSoSHh9vsCw8Pt0ncGsvKyoJOp7PcOnXq5O0wiYiIiGQVEIldRESEXRJXU1MDrVbr9DHz58+H0Wi03E6fPu3tMImIiIhkJWtTrKsSExNhMBhs9hkMBuj1eqePCQ8Pt6vlIyIiIlKygKixS0tLw549eyCEAAAIIbB7926kpaXJHBkRERGR//DbxM5gMKCqqgoAMHHiRPzyyy+YPXs2jh8/jtmzZ6OiogK33nqrzFESERER+Q+/Tez0ej1Wr14NAIiOjsYnn3yCL774Atdeey327duHzZs3IzIyUuYoiYiIiPyH3/Sxa2hmdbbdv39/HD582JchEREREQUUv62xIyIiIiL3MLEjIiIiUggmdkREREQKwcSOiIiISCGY2BEREREpBBM7IiIiIoVgYkdERESkEEzsiIiIiBSCiR0RERGRQjCxIyIiIlIIJnZERERECsHEjoiIiEghmNgRBYDK2jokzctB0rwcVNbWyR0OERH5KSZ2RERERArBxI6IiIhIIZjYEQUYg7Fa7hCIiMhPMbEjCgDrDp2x/DxqyQ6sPnBKxmiIiMhfMbEj8nMlxio8uTHPsm0SwIL1x1BirJIxKiIi8kdM7Ij8XGFpBUzCdl+9ECgqrZQnICIi8ltM7Ij8XNfYSKgk231qSUJSrFaegIiIyG8xsSPyc3qdBgtv7mXZVknAcxm9oddpZIyKiIj8ERM7ogAw4dqOlp+3zRmKSamdZYyGiIj8FRM7ogCToIuQOwQiIvJTIXIHQETN04aFoGjRWLnDICIiP8caOyIiIiKFYGJH5AOVtXVImpeDpHk5qKytkzscIiJSKCZ2RERERArBxI7Ix7jWKxEReQsTOyIf4FqvRETkC0zsiLzM2Vqv587kA4U7AWOxjNEREZGScLoTIi9ztNbrBNV2tH/zdkACIKmAccuAflNkiY+IiJSDiR2RlzWs9dqQ3CWgDFkhyyE1rP8qTMCm2UD7XsDFCqBtMqBLlCtcIiIKYGyKJfKyxmu9dlMZoJYaVeGJemD5COCdccDS3sDhlT6OkoiIlICJHZEPWK/1mnXPH8zNr8401OCx7x0REbmJTbFEPmC3JNiY54HNj/y2oQJgsn2AqAfOF7BJloiI3MLEjkgO/e8BrrjJnLyFaoG3Rplr6hpIaqBtN/niIyKigORSYvfnP//Z7QNLkoS33nrL7ccRBQ1d4qUaOesaPEkNjFvK2joiInKbS33sVqxYgcrKSgghXLpVVlZixYoVzR63uroa06ZNQ0xMDPR6PRYvXuy07IYNG3DllVciKioK6enpOHz4sMsnSSS72grgKZ35VvqD/f397wEeOg5kfgLM/oZTnxARUYu43BT78ssvo3379i6VNRgMWLNmTbPlHn30URw8eBDbt2/HyZMnkZmZiS5dumDixIk25fLy8jB58mS88cYbGDRoEF566SWMHTsW+fn50Gq1rp4CkXyOvH/p53/1dzxvnXUNHhERUQu4VGNXUlJiSepWrlyJmpoauzIVFRV4+eWXAQDx8fEoKSlp8pgVFRVYvnw5li1bhn79+mH8+PGYO3cuXnnlFbuy//nPf9CrVy9MmTIFycnJyMrKgsFgwPHjx10Jn0hexmJgy9xL2xz1SkREXuJSYqdWq3Hq1CmcOnUKf/rTn5CXl2fZbrh99tln+Otf/wrA3L8uPj6+yWMePXoUFy9exMCBAy370tPT8eWXX8Jksh0h2K5dO+Tl5WH37t0wmUzIzs5GdHQ0kpOT3T1fIt87n287MAIARD1u+8f7SJqXg8raOnniIiIixXGpKTY3Nxe33norpN+myk9NTbW5XwjzZKt33nmny09cUlKC2NhYhIWFWfbFx8ejuroaZWVliIuLs+yfNGkSNm7ciPT0dKjVaqhUKuTk5OCyyy5z+fmIZNM22TxvnVVyJyQ1ikzmP34Mxmp0i4uSKzoiIlIQlxK7iRMnoqioCCaTCd26dcP+/fttEi9JkhAZGYl27dq5/MSVlZUIDw+32dew3bipt6ysDAaDAa+88grS0tLw2muv4U9/+hMOHz7stN9fTU2NzXHKy8tdjo3Io3SJdqNe96U8BsMh8+/LqCU7kJVxFSaldrZ9nLHYXNvHJcaIiMhFLg+e6NzZ/KXTuJm0pSIiIuwSuIbtxgMi/vrXv+Kqq67CAw88AAD497//jSuvvBLZ2dmW5t/GsrKysHDhQo/EStRqVvPWnQvtgDv+dcJyl0kAC9Yfw5AecdDrNOad+9+0SgRVjgdbEBERNeJSYjdixAisX78eMTExGDFiRJNlt2/f7tITJyYmorS0FHV1dQgJMYdhMBig0WgQExNjU/bQoUOYOXOmZVulUuHqq6/GyZMnnR5//vz5mDNnjmW7vLwcnTp1cik2Io9oXOP22y0/vxSmRkvF1guBotJKc2LnbLBF8kjW3BERUZNcSuyGDh1q6Qs3dOhQjzxx3759ERoain379iE9PR0AsGvXLqSmpkKlsh3T0aFDB7sRsN99951dXz9r4eHhdk29RD7TRI1b19hIqCTYJHdqSUJS7G811U4GW3CJMSIiao4kGkY+yGD69OnYtWsXsrOzUVxcjMzMTGRnZyMjIwMGgwE6nQ4ajQarV6/G1KlT8e9//xsDBgzA8uXL8frrr+P77793eW698vJy6HQ6GI1GREdHe/nMKKgZi4Glve2XCJv9jSUxe3dvER7/OA8AoJJg28fOhccTEZG8KmvrkPLEVgDA8advgDbMe6u0upPDuB3FxYsXsXLlShw4cAAXL15E47zw7bffdvlYS5YswYwZMzB8+HDodDosXLgQGRkZAAC9Xo/s7GxMnToVkyZNwoULF/Dcc8/hzJkz6Nu3L7Zv3+5yUkfkUy7UuN01IAmjUuJRVFqJpFjtpb51gLnMuGXm5ldRzyXGiIj8nD/NbuB2jd2UKVOwbt063HjjjQ6zxuzsbI8F50mssSOf8VSNm7HYnAy27cakjojIzzTZ8uJh7uQwbid2UVFR2LBhA0aPHt2qIH2NiR351OGV9jVurRnVWlsBPNfB/PODB4HYyz0RJRERtUCJsQqDFm236yu9a95w2xYYD/FqU2xMTAwSE1l7QNSkflPMo1g9VePmylqzRETkE4WlFU3PbiAjl5YUs/bYY49h1qxZOHHiBOrquBQSkVO6RKDr4NYndVxrlojIrzTMbmDNZnYDGbmd2P3jH//Azp070atXL4SHh0OtVtvciMjDmhqMQUREPqfXabDw5l6WbZUEPJfRW/baOqAFTbErVqzwQhhE5JSDtWYhqc1NvEREJIsJ13a0DJ7YNmeo34yKdTux89QExUSK4s11XR2sNcvpT4iI/EeCLkLuECzcHhXbtWtXSJLk9P6CAv9sHuKoWPIaD6zraj3R5faHnfzlx+lPiIiCkldHxT711FM223V1dcjPz8eKFSvwzDPPuHs4osDmoXVd1x06Y/l51JIdjudDalhvloiIyAm3E7vMzEyH+9PS0vDiiy9i2rRprQ6KKGB4YF3XEmMVntyYZ9k2CWDB+mMY0iPOLzriEhFR4HB7VKwzKSkpOHDggKcORxQYGgY2WHNzYENT8yERERG5w+0au507d9rt+/XXX/HPf/4TvXv39khQRAHDAwMbGuZDajyDuT/Mh0RERIHF7cRu2LBhdvvCwsKQmpqKN9980xMxEQWW/vcAV9zU4oENDfMhWa856C/zIRERUWBxO7EzmUzNFyIKNq0c2OCv8yEREVFgcTuxIyLP04aFoGjRWLnDICKiAOexwRNEREREJC8mdkREREQKwcSOiIiISCGY2BEREREphMcSu3PnzkGtVnvqcEQBrbK2DknzcpA0LwcFP1+QOxwiIgoSHkvsdDod3n77bU8djiigNV77dfWBUzJGQ0REwcJjiV1ERITTdWSJlKS52jhna7+WGKt8GSYREQWhFs1jV1BQgOXLl+Pbb79FWFgYevbsienTp0Ov13s6PiK/07g2LivjKkxK7WzZ19Tar1xNgoiIvMntGru1a9fiiiuuwL59+5CcnIzExER89tln6N69O7Zv3+6NGIn8hiu1cQ1rv1rj2q9EROQLbtfYLViwAIsWLcLDDz9ss/+ZZ57BX/7yF+Tl5Tl5JFHgc6U2Tq/TICvjKixYfwz1QkAtSVz7lYiIfMLtxO7s2bMYN26c3f4//vGPyMrK8khQRP6qoTbOOrlzVBs3KbUzhvSIQ1FpJZJitUzqiIjIJ9xuip08eTIWL16M+vp6m/2vvfYaMjIyPBYYkT/S6zRYeHMvy7ZKgtPaOL1OgwHJ7ZjUERGRz7hUYzd8+HBIkrnTUG1tLfbs2YPNmzejb9++UKvVOHbsGIqKijB2LBcxJ+WbcG1HPP6xucvBtjlD0S0uyuPPUVlbh5QntgIAtj/snecgIiLlcSmxGzZsmM326NGjbbavueYajwVE5O+0YSEoWuTdP2KaG3lLRETkiCSEEM0Xu2TmzJmYNWsWkpOTvRWTV5SXl0On08FoNCI6OlrucIicKjFWYdCi7Xb9+HbNG27frGssBs7nA22TAV2ibwMlIiKfcCeHcbuP3f/93/9x6TAiL2pq5K2N/W8CL6UA74wDlvYGDq/0XZBEROSX3B4VO2fOHNx///146KGH0KVLF0RERNjc37kzm4soCHixpsylkbfGYogtc2GZLk+YgE2zgeSRrLkjIgpibid2TzzxBADg008/BQDLoAohBCRJshstS6Q4+98ENj9i/llSAeOWAf2meOzwDSNvGwZoOBx5ez4fkjDZPlDUA+cLmNgREQUxtxO7wsJCb8RBFBiMxcCWuZe2vVRTdteAJIxKiXc6D9650ETECglq6VK1Xp1QoSy0A+I9FgUREQUatxO7Ll26ONxfW1uLr776yun9RIpwPt+czFkT9bjtH+9jnynFo1OT6HUap3Pg5dfosLjubjwX8hZCJBPqhAoL6qZhfE0MEzsioiDmdmK3Z88e3H///cjLy4PJZPsFFxISgpqaGo8FR+R32iabm1+tkjsTVCgymdMpX01N0jU2Eh+ahmNnTR8kqc6hyBSPn6VYPMT1aImIgprbo2L/8pe/ICkpCZ988gkiIyOxbt06/POf/0S7du2wciVH5ZHC6RKBMc9bNoWkxoKL02BAOwDmAQ8L1h9DibHKq2E09MMzoB32mVLwk9TO3A8P54HCneYmYyIiCjpu19jl5eXhvffeQ8+ePXHttdciPDwc999/P9q3b49//OMfmDRpkjfiJPIf/e8BrrgJOF+AQ7/G4IP3T9nc3TA1ibeXErPrh/fd/wEveW9QBxER+T+3a+y0Wq1lHruePXvi6NGjAID+/fvju+++c+tY1dXVmDZtGmJiYqDX67F48WKnZb/55hukp6dDo9Hgqquuwueff+5u6ESeo0sEug5GYpfuUEm2d9lNTeJFlvVocd7xoA7W3BERBRW3E7sRI0Zg3rx5OHv2LAYOHIjVq1fj/Pnz2LhxI2JiYtw61qOPPoqDBw9i+/btePXVV7Fw4UJ8+OGHduWMRiNGjx6NlJQUfPPNN8jIyMD48ePx008/uRs+kUc1NIk2cDg1iS84GdSB8wW+jYOIiGTldlPsyy+/jDvvvBPr1q3D9OnTsXz5csTGxkKtVuO1115z+TgVFRVYvnw5tmzZgn79+qFfv37Iy8vDK6+8gokTJ9qUfeeddxAVFYXXXnsNarUaCxcuxObNm3Hw4EHcdNNN7p4CkUc1NzWJTzgY1AFJDbTt5vtYiIhINm6vFduYEALHjx9HTEwMEhNdn8drz549GDJkCCorKxEWFgYAyM3NxZgxY1BRUQGV6lJlYkZGBrp27dpkU21zuFYsKd7hlebmV1FvTurGLWUfOyIiBfD4WrFarRalpaUO75MkCb169bJJ6n766SdotU33MSopKUFsbKwlqQOA+Ph4VFdXo6yszKZsQUEB4uLicO+99yIhIQFpaWnYvXu3K6ETBY9+U4DZ3wCZn5j/Z1JHRBR0XGqKra6uxvPPP4+oKNcmXr1w4UKz89lVVlYiPDzcZl/DduPHXrhwAYsWLcKsWbOwZcsWfPDBB/jd736HEydOoFOnTg6PX1NTY3Oc8vJyl2InCmi6RC4pRkQUxFxK7IYMGYIDBw64deAhQ4Y0eX9ERIRdAtew3bi2LyQkBNdccw0WLlwIALjmmmvwn//8B++++y4WLFjg8PhZWVmW8kRERETBwKXELjc31+NPnJiYiNLSUtTV1SEkxByGwWCARqOxG12r1+vRs2dPm309evTA6dOnnR5//vz5mDNnjmW7vLzcae0eERERkRK4Pd2Jp/Tt2xehoaHYt2+fZd+uXbuQmppqM3ACANLS0izz5TU4ceIEkpKSnB4/PDwc0dHRNjeilqisrUPSvBwkzctBwc8X5A6HiIjIKdkSO61Wi8zMTEyfPh0HDhzARx99hBdffBGzZs0CYK69q6oyL8s0ffp0fP3113jqqafw448/4oknnkBBQQHuvPNOucKnILLuy3x0wM8YoMrDnUvWY/WBU80/iIiISAayJXYAsGTJElx77bUYPnw4HnjgASxcuBAZGRkAzM2vq1evBgB06dIFW7duxaZNm9C7d29s2rQJOTk5bk2vQtQSJcYq5H36Jr4In41VYc/ii7CZ+Oqjf3p9LVgiIqKWcHseu1OnTqFTp06QJNt1lOrr63H06FH069fPowF6Cuexo5Y4+PU3uGbdYKilS78mdUKFoxO+wLV9essYGRERBQuPz2NnrWvXrg7ntCssLER6erq7hyPya11VBpukDgBCJBOSVAaZIiIiInLOpVGxy5cvx3PPPQfAvNLEddddB7VabVPmf//7H1JSUjwfIZGM2nVKgQkqqHBpqS6TpEK7TlfKGBUREZFjLiV2mZmZCAsLg8lkwp///Gc8/PDD0Ol0lvslSUJkZCRGjBjhtUCJZKFLxMWbXoI65yGESCYISQ3VuKWcBJiIiPyS233sduzYgUGDBlnmngsU7GNHrWIsBs4XAG27MakjIiKfcieHcTs7Gzp0KD777DMcOHAAFy9eROO88IknnnD3kET+j0t1ERFRAHA7sXv44YexbNkyXH311XZZoyRJTOyIiIiIZOJ2Yvf222/jnXfewR133OGNeIiIiIiohdye7iQkJAT9+/f3RixERERE1ApuJ3YPPPAAnnzySVRUVHgjHiIiIiJqIbebYnfs2IE9e/Zg7dq1iI+PR1hYmM39BQUFHguOiIiIiFzndmI3depUTJ061QuhEBEREVFruJ3YZWZmeiMOIiIiImollxK7p59+2uUDcroTIj9iLAbO5wNtkzkPHxFREHApsfv8889dOhjnsSPyI/vfBDY/Yv5ZUgHjlgH9psgbExEReZXbS4oFKi4pRkHFWAws7Q0I06V9khqY/Q1r7oiIAow7OYzb050QUQA4n2+b1AGAqDevd0tERIrFxI5Iidomm5tfrUlqoG03eeIhIiKfYGJH5IixGCjcaf4/EOkSzX3qJLV5W1ID45ayGZaISOHcnu6ESOlq9r6BsE/nQpIAIakgBcigg8raOqQ8sRUAsP3hoejWbwqQPNLc/Nq2G5M6IqIgwBo7ImvGYoRunQdJMm9KwgTTplkBUXO37tAZy8+jluzA6gOnzMlc18FM6oiIggQTOyIrZaePQwXbQQcqYULZ6W9lisg1JcYqPLkxz7JtEsCC9cdQYqySMSoiIvI1JnZEVgpNCagXks2+OqFCkSlBpohcU1haAVOjiYvqhUBRaaU8ARERkSyY2BFZSezSHX+ruxt1wvyrUSdUeKzubnTokixzZE3rGhsJlW0+CrUkISlWK09AREQkCw6eILKi12nQ6/cPIv3jPkhSncMpEY9ZGcOg12nkDq1Jep0GC2/uhcc/NjfHqiTguYzefh83ERF5FleeIHKgxFiFotJKJMVqAyo5CtS4iYjIOXdyGNbYETmg12kCMjFqKm7r6VCOP30DtGH89SciUhr2sSMKQgZjtdwhEBGRFzCxIwoSDue5IyIiRWFiRxQEOM8dEVFwYGJHFAQ4zx0RUXBgYkcUBDjPHRFRcGBiRxQEGua5a8B57oiIlImJHVGQmHBtR8vP2+YMxaTUzjJGQ0RE3sCJrIiChDYsBEWLxsodBhEReRFr7IiIiIgUgokdERERkUIwsSMKJsZioHCn+X8iIlIc9rEjChb73wQ2P2L+WVIB45YB/abIGxMREXmUrDV21dXVmDZtGmJiYqDX67F48eJmH1NUVISoqCjk5uZ6P0AipTAWA1vmXtoWJmDTbNbcEREpjKw1do8++igOHjyI7du34+TJk8jMzESXLl0wceJEp4+ZMWMGKioqfBglkQKczzcnc9ZEPXC+ANAlyhMTERF5nGyJXUVFBZYvX44tW7agX79+6NevH/Ly8vDKK684Tezee+89/Prrrz6OlEgB2iabm1+tkztJDbTtJl9MRETkcbI1xR49ehQXL17EwIEDLfvS09Px5ZdfwmQy2ZUvKyvD3Llz8cYbb/gyTCJl0CUCY56/tC2pgXFLWVtHRKQwstXYlZSUIDY2FmFhYZZ98fHxqK6uRllZGeLi4mzKz5kzB5mZmejVq1fjQzlUU1ODmpoay3Z5eblnAicKVP3vAa64ydz82rYbkzoiIgWSLbGrrKxEeHi4zb6GbeuEDAC2bduGXbt24dixYy4fPysrCwsXLmx9oBQcjMXmfmhtk5Wd8OgSlX1+RERBTram2IiICLsErmFbq9Va9lVVVeG+++7Dq6++Co3G9QXL58+fD6PRaLmdPn3aM4GT8ux/E3gpBXhnHLC0N3B4pdwReURlbR2S5uUgaV4OCn6+IHc4RETkA7IldomJiSgtLUVdXZ1ln8FggEajQUxMjGXf/v37UVBQgAkTJiAqKgpRUVEAgDFjxmD69OlOjx8eHo7o6GibG5EdBU8Dsu7QGcvPo5bswOoDp2SMhoiIfEG2pti+ffsiNDQU+/btQ3p6OgBg165dSE1NhUp1Kd/s378/fvjhB5vHXn755Vi+fDlGjx7t05hJgRQ6DUiJsQpPbsyzbJsEsGD9MQzpEQe9zvWabyIiCiyyJXZarRaZmZmYPn06srOzUVxcjBdffBHZ2dkAzLV3Op0OGo0G3bt3t3t8YmIi2rdv7+uwSWkUOg1IYWkFTMJ2X70QKCqtZGJHRKRgsq48sWTJElx77bUYPnw4HnjgASxcuBAZGRkAAL1ej9WrV8sZHgUDXaJ5aS1Jbd5WyDQgXWMjoZJs96klCUmxWscPICIiRZCEEKL5YoGvvLwcOp0ORqOR/e3InrFYcdOAvLu3CI9/bG6OVUlAVsZVmJTaWeaoiIjIXe7kMLIuKUbkNxQ4DchdA5IwKiUeRaWVSIrVsgmWiCgIMLEjUjC9TtN8Qhcsc/gREQUBJnZEwWz/m8DmR8w/Sypzf8N+U+SNiYiIWkzWwRNEJCMFz+FHRBSsmNgRBaum5vAjIqKAxMSOKFg1zOFnTQFz+BERBTMmdkTBSqFz+BERtZb1WtuVtXXNP8CPcPCEh1TW1iHlia0AgONP3wBtGC8tBYB+U4DkkYqbw4+IKFgx+yCCeW3VwtIKdI2NDL753hQ4hx8RUbBiYkdBjys0EBGRUrCPHQW1EmMVntyYZ9k2CWDB+mMoMVbJGBUREfkLg7Fa7hDcwsSOglphaQVMjVZLrhcCRaWV8gRERESyW3fojOXnUUt2YPWBUzJG4x4mdhTUusZGQiXZ7lNLEpJitfIEREREsgr0lhwmdhTU9DoNFt7cy7KtkoDnMnoH3wAKIiICEPgtORw8QUHvrgFJGJUSj6LSSiTFapnUEREFsYaWHOvkLpBaclhjR8HHWAwU7rRZE1Wv02BAcjsmdUREQS7QW3KY2FFw2f8m8FIK8M44YGlv4PBKuSMiIiI/M+Hajpaft80ZGlBTYDGxo+BhLAa2zL20LUzAptk2NXdERETWEnQRcofgFiZ2FDzO55uTOWui3rycFhERkQJw8IQXGIzV6BYXJXcY1FjbZEBS2SZ3ktq8RioREdFvtGEhKFo0Vu4wWoQ1dh4SyJMZBg1dIjBumTmZA8z/j1vKdVKJiEgxWGPnAc4mMxzSIy5gRtEEjX5TgOSR5ubXtt2Y1BERkaIwsfOApiYzZGLnh3SJTOiaYiw290dsm8zrREQUYJjYeUCgT2ZI1KBm/wqE5MyGWhIQkgrSuGXmWk4iIgoI7GPnAYE+mSERAMBYjNDND0Etmf9CkYQJpk2zOB0MEVEAYWLnIYE8mWEwqaytQ9K8HCTNy0HBzxfkDsevlJ0+DhVsp4NRCRPKTn8rU0REROQuJnZeEGiTGQYTjl52rtCUgHoh2eyrEyoUmRJkioiIiNzFxI6ChrPRyyXGKhmj8h+JXbrjb3V3o06YPxbqhAqP1d2NDl2SZY6MiIhcxcETFDQ4erlpep0GvX7/INI/7oMk1TmcEvGYlTGM14aIKIAwsaOgwdHLzbtrQBJGpcSjqLQSSbFaJnVERAGGTbEUNPQ6DbIyroJaMvcjU0sSRy87oNdpMCC5Ha8LEVEAYo0dBZVJqZ0xpEcca6SIiEiRmNiRolXW1mHEE++jq8qARff8AV269oBep2FCR0REisSmWFK0oxuWYHf4TKwKexYdV/TH/nVL5Q6JiIjIa5jYkWKdO5OP/sefs6ykoJYE+n29EOfO5MscGRERkXcwsSPF+vnkcUtS1yBEMqH05AmZIiIiIvIu9rHzEG1YCIoWjZU7DLIS1yUF9UKySe7qhAqxXXrKGJX/KTFWobC0Al1jIx33PTQWA+fzgbbJgC7R9wESEZHLZK2xq66uxrRp0xATEwO9Xo/Fixc7LZuTk4O+ffsiKioKffr0wcaNG30YKQWi+I7J2N/7CZuVFA73eRLxHbmSQoN39xZhQNZ2TH7zSwxatN1+ibXDK4GlvYF3xpn/P7xSnkCJiMglstbYPfroozh48CC2b9+OkydPIjMzE126dMHEiRNtyn399dfIyMjACy+8gJtuuglbt27FxIkTceDAAVx99dUyRU+BYMAf5+DcgFtQevIEYrv0RH8mdRbOllgb0iPOXHNnLAY2zQKEyVxAmIBNs4Hkkay5IyLyU7IldhUVFVi+fDm2bNmCfv36oV+/fsjLy8Mrr7xil9i9//77GDFiBGbOnAkA6N69OzZu3Ig1a9YwsaNmxXdMZi2dA80usXY+/1JS10DUA+cLmNgREfkp2RK7o0eP4uLFixg4cKBlX3p6Op599lmYTCaoVJdaiTMzM1FbW2t3DKPR6JNYKcCwT5hLml1irW0yIKlskztJDbTt5ttAiYjIZbL1sSspKUFsbCzCwsIs++Lj41FdXY2ysjKbsldeeaVNzVxeXh4+++wzjBw50unxa2pqUF5ebnOjIMA+YS5rdok1XSIwbpk5mQPM/49bymSZiMiPyVZjV1lZifDwcJt9Dds1NTVOH1daWooJEyZg0KBBuOWWW5yWy8rKwsKFCz0TLAUG9glzW7NLrPWbYr5+5wvMNXW8jkREfk22GruIiAi7BK5hW6vVOnzMuXPnMGLECJhMJnz44Yc2zbWNzZ8/H0aj0XI7ffq054In/9RUnzBySq/TYEByO+fLrOkSga6DmdQREQUA2WrsEhMTUVpairq6OoSEmMMwGAzQaDSIiYmxK19cXIwRI0YAAHJzcxEXF9fk8cPDw+1qBEnh2CeMiIiCnGw1dn379kVoaCj27dtn2bdr1y6kpqba1cRVVFTgxhtvhEqlwo4dO9ChQwdfh0uBgH3CiIgoyMlWY6fVapGZmYnp06cjOzsbxcXFePHFF5GdnQ3AXHun0+mg0Wjw3HPPIT8/H7m5uZb7AECj0UCn08l1CuSP2CeMiIiCmCSEEM0X847KykrMmDED69atg06nw6OPPorZs2ebA5MkZGdnY+rUqejZsye+++47u8dnZmZixYoVLj1XeXk5dDodjEYjoqOjPXgWRERERN7jTg4ja2LnS0zsiNxXWVuHlCe2AgC2PzwU3eKiZI6IiCj4uJPDyLpWLBH5t3WHzlh+HrVkh/1askRE5FeY2BGRQ87Wki0xVskYFRERNYWJHRE55Gwt2bMn84HCneYJoYmIyK/INiqWyFtKjFUoLK1A19hI55PuUrMcrSV7mzoX/TYsN88VKKnM08v0myJbjEREZIs1dqQo7+4twoCs7Zj85pcYtGg7+4S1QuO1ZBOl88gKXQ6p8ZJtrLkjIvIbrLEjxXDWJ2xIjzjW3LWQ9VqyPaoOQ/rQyZJtnC+QiMgvMLEjxXDWJ6yotJKJXSvodRrz9TOmwAQVVLiU3JkkFVRcso2IyG+wKZYUo6FPmDW1JCEpVitPQApTgrZYcHEa6oT5Y6NOqLCg9m6UoK3MkRERUQPW2FFgMxYD5/OBtsnQ6xKRlXEVFqw/hnohoJYkPJfRm7V1HlJYWoEP6ocjt74PklTnUGSKhwHtcAtrRImI/AYTOwpch1cCm2bZjNCclDrF0icsKVbLhMODGmpEDaIdDKZ2AKxqRK0SbPa3IyKSD5tiKTAZiy8ldYDNCE29ToMBye2Y1HlY41GylhrR/LXA0t7AO+PM/x9eKXOkRETBizV2FJjO519K6hpwhKbXWY+STYrVQo/zwFIHCXbySL4OREQyYGJHgaltsrn51Tq5k9QAR2h6nWWULAAUMsEmIvInbIqlwKRLNK96IKnN25IaGLeUyYSvNSTY1phgExHJhjV2FLj6TTE3+Z0vMCcSTOp8ryHB3jTbXFPHBJuISFZM7Ciw6RKZRMiNCTYRkd9gYkdErccEm4jIL7CPHREREZFCMLGjgFFZW4ekeTlImpeDgp8vyB0O/YavCxGR/2BiRwFj3aEzlp9HLdmB1QdOyRgNNeDrQkTkP5jYUUAoMVbhyY15SEAZBqjy0F6UYcH6YygxVskdWlBreF0amAT4uhARyYiDJyggFJZWYKLqc2SFLIdaEqgXEubX3Y2i0uu5dJiMCksrYBK2++qFwNmT+dC3Oc+1Y4mIfIw1dhQQksONlqQOANSSwHMhb6Fb+C/yBhbkusZGQiXZ7rtNnYt+GwZz7VgiIhkwsaOAEH+x2JLUNQiRTIi/eFamiAgwLy+28OZelu0OUhmyQpdDarx2rLFYngCJiIIMm2IpMDhZG/ZcaAfk55eia2wkm2RlcteAJIxKiUdRaSV6VB2G9CHXjiUikgsTOwoMDpau2pvyGG5/5QQAQCUBWRlXYVJqZ3njDFJ6ncacWBtTHCbgXDuWiMg32BRL/s1YDBTuNP/fbwow+xsg8xOcm3YAdxy+wlKMozH9REMCLqnN21w7lojIp1hjR/7r8Epg0yxz7Y+kMicM/aYAukTk55c6HI1ZVFrJJlm5ce1YIiLZsMaO/JOx+FJSB9h1wnc0GlMtSUiK1fo2TnJMlwh0HXwpqbOueSUiIq9hYheASoxV2JNfquxmx/P5tv20gEud8GHu05WVcRXUkjm7U0sSnsvozdo6f3R4pXnaE05/Qg5YL0lXWVsndzhEAY9NsQHm3b1FePxj80z/ih4w4GQUrHUn/EmpnTGkRxyKSiuRFKtlUuePnNW8Jo9kEy3ZMRir0S0uSu4wiAIaa+wCSFAs39TQZAe41Alfr9NgQHI7JnX+qpmaVyKuNUzkWayxCyDOlm9SzIABR4MlZn/DTviBzIWaVwpezv5YHdIjThmfaUQyYI1dAFH0gAFnTXaAbSd8Ciyc/kTRWts/rqk/VomoZZjYBRBFDxhgk51yWc0/iNnfmLcBjpRtgnXCVPDzBbnDcYnBWO32YxT9xyqRTNgUG2AUN2DAWAycz8fPtSFoKySb9WDrhAploR0QL2N45CG6RNtaOmdzFBIA+35n/jpIqrVxNqw1bD0gTDF/rBLJhDV2AUgxAwYOr4T4bRqM2FVjsb4+HXXC/JasEyosqJuGgpoYeWMkz3PW7H7mEGvwEDiDpDwV54RrO1p+3jZnqF8msESBRNbErrq6GtOmTUNMTAz0ej0WL17stOxXX32F66+/HlqtFqmpqTh06JAPIyWPsG56MxbDtHEWpN++3CWYMF69G+NrnsJttY8hvWYZ1plGsElGiZw1u7810nauuyBtqg2UfmeeilMbFoKiRWNRtGgspzoh8gBZm2IfffRRHDx4ENu3b8fJkyeRmZmJLl26YOLEiTblKioqcNNNN+GOO+7AihUr8Prrr2Ps2LHIz89HZGSkTNEHr8raOqQ8sRUAsP3hoa59GB9eCbHJnMgJSYWKfvchCrZf7iGSCZGqWuwzpfw2Rx+bZBTJ0UhZABC/ZQnCBGycCUiSbVNt8khzUtg2WdGDLxr6nVknTc31O2vR72QrtSROIvI+SQghmi/meRUVFYiNjcWWLVswbNgwAMDf//53bNu2Dbm5uTZl3377bfz9739Hfn4+JEmCEAI9evTA3/72N0ydOtWl5ysvL4dOp4PRaER0dLRnT8bLSoxVKCytQNfYSL9IdJxOkvxbfznLF2/DdmgkTMtHQWWVyJkgQQjY9anLHfMZIuO6KKP/IDl3eKW5+VXUw9xwYGrmAZJ9oqfgPnmrD5zCgvXHUC+EZZBUU02Uck1c7s8TpsuR7BJ5izs5jGw1dkePHsXFixcxcOBAy7709HQ8++yzMJlMUKkutRLv27cP6enpkH4bDSpJEgYNGoS9e/e6nNj5ROPExtG+5rYBnDuTj59PHkdclxT857Qa//p4J7qqDDgpEjArYxgm9VC7fUy343CyfS40EU9uPIEElKGryoBCUwIWrD+GG2r/i5htj1z64u1zG/D1B4AwQUCCCrZ/P6gg8Eb9WExTb0GIZEKdUOGxursx68orLQkdP5iVq7L3ZIxYAySpziH73iHQvHOjfQ2eDWFbo7dpNtC+F3CxwrPvcz85xqTUzhimv4jSk98itktPxHd0/oeTs9/JIT3ioMd5r57LhGs7Wj6fFt3zB3Tp2sQfeO48hweu4bpDZyzX5M4lZS377PTiZ6nHz99P3rsBe0xPvS5+QLbErqSkBLGxsQgLC7Psi4+PR3V1NcrKyhAXF2dTtlevXjaPj4+Px7Fjx3wWb7McjfIDbPdZJTsOt8ctw978UvQ/9jTiJYF6IUFTn47d4bug/m17w8eDIUJ3mfumSSpc7H0rVF+vhloSEJIKkoNj1tSZEJIz23kZN7bbQ4V/qAchQ30ppkV1t0H339Ww1LoIE3D0fculkSAghLnCpUGdUKH22vswdP8YdJIMOC0SMDNjqE0tXaCMDKSWMaAdDKZ2KInshW7jljWqwRO/3Zxo6JMnRMt/3xz8rvjTMeI3zUJ8C38n59fdjcq9RcCXf/PquWj73IZ9mt+2V2Z55jk8cA1/GfUi8jZ/i93hy51+dsry2nrr/P3lvRuox/TU6+InLQmyNcW+++67eOyxx3Dy5EnLvoKCAiQnJ+P06dPo2PHSSKmRI0ciPT0dCxcutOx74oknsGfPHmzbts3h8WtqalBTU2PZLi8vR6dOnbzTFGssNnf4tqlxUAESmqmFsCWggkkIm+bJxgmR3TbMT+NsG7/VlUlWTV32ZdzTOIb6RtOUONNQzlI7N/dpAHA4dUuJsQqDFm2367+za95wNtEqgMMmvB7qS6uM5H/mXqLXgt83JR3D/g8nCWqVZBmc5Ks4PPMcrX9eAQmmRl09Gl8j93njenjq/P3lvRuox3TlOVx4XkltnqvTCzV3AdEUGxERYZN4AbBsa7Val8o2LmctKyvLJhH0Kkej/GBq+nvIAQkmqBt98DT+ILLbtjtGYyYXyrincQxqSUBAgmR1wo2TR5OkwoSahYiQauxq5xwlaopfPi2IOV1Gat5w6Lv+9oHYb8pvgyWcJXqt/32zF7jHaPw7GSJZNV37MA7PPEfrn1eCaPaz1H3euB6eOn9/ee8G6jFdeQ4XnrdhUn2Zm2RlS+wSExNRWlqKuro6hISYwzAYDNBoNIiJibErazAYbPYZDAbo9Xqnx58/fz7mzJlj2W6osfMKh6P8ms/u7ZIfBwMKmq2ha7ZGzxt/udoSkhpZtZMwN+QDS3+5j+rTMSF0NyRRD0hqqMYtxWvJf3R5YmWOuAtczfWNdDlpt57U2DrRC9UCb43yeC2PbLVtsP8cUDUMFPFhHN45RkuewzPX0PzPcy0VrLFr2TGFhFbWHNsf02/fl36yDrZs89j17dsXoaGh2Ldvn2Xfrl27kJqaajNwAgDS0tKwZ88eNLQaCyGwe/dupKWlOT1+eHg4oqOjbW5e42g9zJuX2e+7erJlW0hqrKsbbDsh78V78MWVj9vsK+x4M4TVY6TGx6i3Pca6+iGW8pDUMI5ejL/V3d2ojO1jvoy+wWa7INH2Oa3jbnwekNTIv/7v+Hf975Fes8wyB90jddPx2Q3bcGz0ezg37QDQb4pbEysrevk0hWvcN3L1gVM297d4GSldonnd4I7Xuv375tK2DMdw9jnwy6gXA+5cPPYcHrqGxtEvOv3s9Jvr4YHz9+vX++Zl2JfyuN33i7fjvHjVbZbndOU7zGOvi5+sgy1bHzsAmD59Onbt2oXs7GwUFxcjMzMT2dnZyMjIgMFggE6ng0ajQXl5Obp3747bb78d9913H9544w2sWbMGP/74o8vz2PlkuhNj8aWmI5sRNFb7fts++GsMJr5/CgkoQ5LqHIpM8TCgHVbdk4Zu4b+g9OSJ30bDJTs9Btp2w7vHL+JfH+9EkuocTol4q5Ffl8q/u7fIUubkb88T3+h5reM4Z3W/s2Nax1CCtnb94SRcqrVuzTQIJcYq5SyfFgRc7RvZuI+d9bJSzkZA203748bvm8vbPj5GU58DA2KrvRpHpSYeI5543zwyec6t0MR28c71aEmc/nINfXE9Wnn+zh7j0uvr5fNr+G5oLy69Nj9LsdjzwBWIv3hW3ve2t14XL3Enh5E1sausrMSMGTOwbt066HQ6PProo5g9e7Y5MElCdna2ZTqT/fv3Y/r06fj222/Rp08fvP7667jmmmtcfi5/m8fOk4MDmkt+rJvGFv+xDx5e+7Vbx1dLEtbfPwAVtfVO59Kz/qJuqIwRjY7BgQ/Ktye/FJPf/NJu/6p70jAguZ1lu3Fz7e4fS5ucD82f50trDTkHCSllOiEOtHLMH15fVz8PPM0fzt3TAiax8yV/S+wA9ych9QRHH4LuaOpLtSHBLKuowYPvf2V3v7d/mUl+LfmSbe4xSv/iluNzAFBWsizXNWyOdYJx/OkboA3zXbd2f3h95frd9Ydz97SAGBVLwKTUzhjSI86nTY0NfdesPwT/cE0HfPTVWdQL0ezEEpYRjD3i7OLV6zSWL2IOfAhOep3GpllVJaHZvpHNDaZQ+ghpOT4HnI5MdvB7HQjkuIbuMhirfVZz5C+vb0s+D1rLX85dTkzsZNaQDPmSow/BR264wrK98/ufLYmfo4klmvtSleOXmfzHXQOSMCol3mMjoINhhLSvPweUmCzL8VnaHLkmWfen19fdz4PW8qdzlwsTuyDV+EPQets68dOGqTD+1T1uf6n6+peZ/Is7X7LN/SHgqJbZX/5QCNS+PMGQLMtNzpojf3t9fZl0+9u5y4GJHTlk/YvY0i9Vf/wLmvxTc38I+GtTW6Aue8dade+Ts+YomF/fYD73Bhw8QS7htCPka3bTm/jgORrXwCXoIpzWyClhUEcg/V774v3gSZ58f7SkZjhQa5M9MeAkUM+9KRw8QR7H2jfyJV+ManP0HLV1l3qUjlqyAzdf3cFm2zoOJfTlcff3Wq4vTEev1ZAecX6d6Hmy5shRzXBz568NC0HRorEtPwE/4IkBJwm6CA9FEzhYY0dEfsUXNWGOnkMFAI365jQWTNOwOCLHNBKOrrOnJkD3Nk8kwoF8/i2hxKlKPMGdHEa2JcWIiBxpqibMm89hQtNJXeM4GmpkGvhbX57K2jokzctB0rwcFPx8odXHczYYoMRY1epjN8XRa2W96as4WqKh1qxo0dgW1zwF8vm7y9F7bP76bzz6Pg4GTOyIyK+4upZsibEKe/JLW/SF5ug5VIDdvsYax3HXgCTsnT8Cq+5Jw+55I/yqZqG5NXsdaeqa+iLhdsTRa9WYL+JwpjXvQ1f40/l7+o+Fxhz+wWW17er7ONgxsSMir3L3y6BhehO1ZP42czQS+929RRiQtR2T3/wSgxZtd/vD3tFzZE24ym7fH/pe6mPnrEZOr9NgQHK7JmvqvP3l7+j53K1da+6auppwN8X6vVBZW+fSYxrXjEq4tGxhS+Noqcbv5da+D13R+L2qgu/Ov/H5tuSPBXc0l8Q6ex97O+EMNBw8QURe1ZIpQZqa3sRZ0pKa1BYjFu8A4Fp/JmfP0XjfX8f0bNXIUTn6DLk7sMOVOdc8PY2EOx3jG0+HYz2JurfmNXQ0OtP6vTzyt/daA2/OU9f4vbrt+DmfTOfh6/Nt/B6z7kvYwNH7OFCnHfIWJnZE5DWtmaTV2YhNZ0nLu/tOWrYdfbg76sju6Dmamry74ZxcHY3p7Px7JrRBRW2910Z0ujtJa3PNrA3n29qJx1vzBexsEnVPTdXSOJGzZjBWQxOmtnktHXXH9NSo6Obeq76YAL7xe9eb52ttwrUdLYndB/em4fY39zX5PuYSYvbYFEtEXuONflnO+se9s6fIsu2oycYTzUjuNr05O/9b/rXH68137gzscNbMeujkebvzdaXp2RFPD75oaRyuavx+yd5V2OzgGk81ibryXvXG+Vs3aZ4oKffZ+TpzVUdds+9jufp++jMmdkTkNZ7ol9WYo6Tl7sFdm/xw90RS0ZJjtLTPkCe4M7DD0TWde+MVWPLf7z0WayB9AX9zxmj3Wi//otDutbTe9FSTqFyjjxvThoX45HwdPW/DSGJtWAgmXNvRct+2OUPt3sfe+IwJdGyKJSKv8dbyPo2bogBgeaMaFesPd09MJtySYzRe51YF87QqrYnDHe40Ize+pp6egNnf1/C0riW77d/77JoeTQDuTe+Gt3YV2vTt83STsJwTX1tfg9vf3Iebr+6Aj46cBWA7MbQvVytpbqJlLiFmj4mdF3liaRSiQOet/kCNk5bGaxo/dXMKBmRtBwCsvjet1UlFSxMT6/5g2jAVxr+6R5bkxpVBHI2vqScTMX/+AnalP5lakvCn9CT8KT3J7r3syXOQKwF2VFO46WgJPn5gICprTV47X0/wRZ/DQMKmWCLyOm/3hwLMCdSuecOx6p407Jo33Oa+htqHBi1JKlozIXHD+V/d6TJZJjVuSfOeNyZgbq5ZTS6OasmsWZ97c+/l1k5tI9fE185qCitrTV7/3fUEX3zGBApWIfmIJ9a8I6KmNXzxulP74A5P1AzIUbvQ0uY9d2NtrpXCX9cvdVZLtv7+AW69X1oytY2jaybHe8Tfm8rJdayx8yJvT+ZIRI55s/bBEzUDvq5daE0H85bGajBWu1Xe16xHgFbV1jusJbu602Uun7snBj1YXzNvv0caT+rbkppCTgzsn5jYeYm/jGwiCkYcKWfLV817gfTHbONYrbWkmdiVUb+OVt6Q65o5el53l8gLpNc7mLAp1kvkHNlEFOz8uaO+XLzdvOfvE8VaN3muvjfNLtanNh7H3vkjWhyru02ZjiY99tU1a+61ak0Npb+83sGMNXZewhoDInn5a0d9OXmzec/f56lrPJ2Jp2N1pVbUlUmPWxqHO82innit/P31DmassfMS1hgQyUuujvqOloPyBneWNvMFf+587+p0Jq2NtalaUUc1XA2THnvimrmzXJsnXit/fr2DHWvsvIg1BkTBx1v9jqyn0XB3aTNfkGuaDle4M51JazmrFXUUgwlA5sCkVsfhbp9uT7xW/vx6BzvW2PlIgi5C7hCIyMu81e/IehqNxiuU+VPfJn+dKNZR7ZL19rY53qtZbSoGtSTh3iHdcO+Qbq26Zi3p0+0vU/f4qoY7mDCx8yI5moL4S0IkH28MmnKlGdGfBma52vm+OZ5sam68tFvDcmC+bEVprntOa86xpc2innit3D1G4++o3T+WWu5rrgmZXMPETmHc6WdBRJ7ljX5HzTUjeuI5/E1LJvptjvXSbnLVJnpzeb1A6dNt/R01crHtNDP+VPscyJjYKQiHnxPJy1nNkKdrYyRcqrnz5y/xlvDm55inahP9MQZ/bQa3Fmi1z4GKiZ0PebuZlHPnEcnP0zVDjmpjsjKukr32yVv4OdZy/pC4NiUYa5/lwMTOh7zdTMrh50T+wdNfsM5qY/z5S7yl+DkWuJpbK9hZ7bP02z5P1HBTECV2QpjfSeXl5bI8v8FYhcfXHrC8oU0A5q3aj2sSwpHgoTdxpATMG9kZf885AcD8l/1j41IQKV1EeflFjzwHEckjUgJ6xYUCUPbvc6QEPP67JDy96VtLc/Zj467k51gAqKytg6nGPEHxD2d+QtdY21YpR99RT4xLwaDusThVVoXO7TRI0Glk+572Zw3XpCGXaYokXCmlAGfOnEGnTp3kDoOIiIioRU6fPo2OHTs2WSZoEjuTyYSzZ8+iTZs2kKTGM0HJq7y8HJ06dcLp06cRHR0tdzgBjdfSc3gtPYPX0XN4LT2H19JzfHEthRD49ddf0aFDB6hUTa8tETRNsSqVqtksV27R0dH8BfMQXkvP4bX0DF5Hz+G19BxeS8/x9rXU6XQuleOSYkREREQKwcSOiIiISCGY2PmB8PBwPPnkkwgPD5c7lIDHa+k5vJaewevoObyWnsNr6Tn+di2DZvAEERERkdKxxo6IiIhIIZjYERERESkEEzsvqa6uxrRp0xATEwO9Xo/Fixc7LfvVV1/h+uuvh1arRWpqKg4dOmRz/6pVq5CcnAytVovx48ejtLTU2+H7pZqaGvTu3Ru5ublOy/BaOldcXIyJEyeibdu2SExMxJw5c1BdXe2wLK9j03788UfccMMNiIqKQufOnfHCCy84Lctr6bqxY8di6tSpTu/ftm0bevfuDa1WixEjRqCgoMDm/qVLlyIxMRFt2rTBtGnTUFlZ6eWI/cuGDRsgSZLNbeLEiQ7L8lo2raamBg888AAuu+wyxMfHY8GCBU5XffC7aynIKx588EHRp08fcejQIbF+/XrRpk0bsXbtWrtyFy5cEAkJCeLhhx8Wx48fFzNnzhTx8fHiwoULQgghvvzyS6HRaMQ777wjjh49KoYOHSrGjh3r69ORXVVVlRg/frwAID7//HOHZXgtnTOZTCItLU2MGTNGHDt2TOzcuVN0795dPPLII3ZleR2bVl9fL3r06CHuuOMO8f3334ucnBwRHR0t3nvvPbuyvJauW7VqlQAgMjMzHd5/8uRJERkZKV588UVx7Ngxceutt4qrrrpKmEwmIYQQH374odDpdGLTpk1i//79IiUlRTzwwAM+PAP5/f3vfxfjxo0TJSUlltv//vc/u3K8ls277777xOWXXy6+/PJLsW3bNhEbGytef/11u3L+eC2Z2HnBhQsXREREhE0C8swzz4ihQ4falX3rrbdE165dLW8Ck8kkunfvLrKzs4UQQtx11102H3SnTp0SkiSJgoICL56Bf8nLyxNXX3216NOnT5OJHa+lc99++60AIAwGg2Xf+++/Lzp06GBXltexaWfPnhW33nqrKC8vt+wbP368mDFjhl1ZXkvXlJWViY4dO4rU1FSnid3jjz9u8xlaUVEh2rRpY/k8GDx4sHjyySct93/xxRdCo9GIiooK7wXuZ+644w4xf/78ZsvxWjatrKxMhISEiNzcXMu+rKws8ac//cmurD9eSzbFesHRo0dx8eJFDBw40LIvPT0dX375JUwmk03Zffv2IT093bLMmSRJGDRoEPbu3Wu5f8iQIZbynTp1QufOnbFv3z4fnIl/2LFjB4YPH265Js7wWjqXkJCATz/9FPHx8Tb7jUajXVlex6bp9XqsXr0abdq0gRACu3fvxs6dOzFs2DC7sryWrnnkkUdw1113ISUlxWmZxtdKq9WiX79+2Lt3L+rr63HgwAGb+9PS0lBbW4ujR496NXZ/cvz4cfTo0aPZcryWTdu1axd0Oh2GDh1q2Tdv3jy8/fbbdmX98VoysfOCkpISxMbGIiwszLIvPj4e1dXVKCsrsyvboUMHm33x8fE4c+aMS/cHgxkzZuCll16CVqttshyvpXMxMTG44YYbLNsmkwmvvPIKRo4caVeW19F1SUlJSE9Px4ABAzBhwgS7+3ktm7d9+3bs3LkTjz/+eJPlmrpWv/zyC6qrq23uDwkJQbt27YLmWgoh8N1332Hr1q3o0aMHkpOTMW/ePNTW1tqV5bVsWkFBAZKSkrBy5Ur07NkT3bp1wzPPPGNXMQP457UMmrVifamystJuosKG7ZqaGpfKNpRr7n66hNfSdXPnzsXhw4dx4MABu/t4HV23bt06GAwGzJgxAw899BBefvllm/t5LZtWXV2N++67D//617+g0WiaLNvUtWrojB7M1/LUqVOWa7RmzRoUFhZi5syZqKqqwrJly2zK8lo27cKFC/jhhx/wxhtvIDs7GyUlJbjvvvug1Wrx8MMP25T1x2vJxM4LIiIi7F60hu3GtU7OyjaUa+5+uoTX0jV//etfsXTpUqxevRq9e/e2u5/X0XXXXXcdAHOCcscdd+DFF1+0qanntWzawoULcd1119nUJjvj7FrFxMQgIiLCst34/mC5ll26dEFZWRkuu+wySJKEvn37wmQy4c4778SSJUugVqstZXktmxYSEoLy8nK8//776NKlCwBz4vzqq6/aJXb+eC3ZFOsFiYmJKC0tRV1dnWWfwWCARqNBTEyMXVmDwWCzz2AwQK/Xu3Q/XcJr2by//OUvWLx4Mf7v//7PYdMhwOvYnHPnzuGjjz6y2ZeSkoLa2lqUl5fb7Oe1bNoHH3yAjz76CFFRUYiKisJ7772H9957D1FRUXZlm7pW7dq1Q0REhM39dXV1KCsrC5prCQBt27a19OcEgCuvvBLV1dU4f/68TTley6bp9XpERERYkjoAuOKKK3D69Gm7sv54LZnYeUHfvn0RGhpq0wF6165dSE1NhUple8nT0tKwZ88ey/w4DZ2x09LSLPfv2rXLUv706dM4ffq05X66hNeyaQsXLsTrr7+ODz74ALfddpvTcryOTSssLERGRgaKi4st+w4dOoS4uDjExsbalOW1bFpubi6++eYbHDlyBEeOHMHNN9+Mm2++GUeOHLEr2/haVVZW4quvvkJaWhpUKhVSU1Nt7t+7dy9CQ0Nx9dVX++JUZLd161a0a9fOZo60I0eOoF27doiLi7Mpy2vZtLS0NFRXV+P777+37Pv222+RlJTksKzfXUuvjbcNcvfdd5/o1auX2L9/v9iwYYOIjo4W69atE0IIUVJSIiorK4UQQhiNRhEXFydmzpwp8vLyxMyZM0VCQoJlnqs9e/aIsLAwsXz5cnH06FExbNgwMW7cONnOS25oNN0Jr6Vrjh8/LtRqtXjsscds5rgqKSkRQvA6uqOurk5cd9114ne/+53Iy8sTOTk5Ij4+XixdulQIwWvZGpmZmZbpTurq6kRJSYmoqakRQghRWFgoIiIiRFZWlmW+sD59+limklm1apWIjo4WGzZsEPv37xe9evUSf/nLX+Q6FZ8rLy8XiYmJ4vbbbxcnTpwQmzdvFh06dBD/+Mc/eC1bYOzYsWLAgAHiyJEj4tNPPxVxcXFi2bJlAXEtmdh5SUVFhZgyZYqIjIwUHTp0EC+99JLlPgCWeayEME9Ses0114iIiAjRv39/cfjwYZtjZWdni06dOonIyEgxfvx4UVpa6qOz8D+NEzteS9dkZWUJAA5vQvA6uqu4uFiMHz9eREdHC71eL5599lnLBzmvZctZJ3aFhYV2v++bN28WPXr0EBqNRowcOdJuvr+srCzRvn17odPpxJ///GdRVVXlw+jld+zYMTFq1CgRFRUl9Hq9eOqpp4TJZOK1bIFffvlF3HXXXSIqKkq0b99eLFy4MGCupSSEkzUyiIiIiCigsI8dERERkUIwsSMiIiJSCCZ2RERERArBxI6IiIhIIZjYERERESkEEzsiIiIihWBiR0RERKQQTOyIiIiIFIKJHREFjaSkJEiS5PCWm5vb5GN69uzp0VjeeustRERE4MKFC3b3VVdXIzo6GitXrrTEN3XqVI8+PxEpExM7IgoqS5cuRUlJid1t4MCBTT7GeiFvT8jIyIAQAjk5OXb3bdmyBQAwYcIElJSU4NZbb/XocxORcoXIHQARkS/pdDokJCS4/ZjY2FiPxnHZZZfhxhtvxLp16zBp0iSb+9asWYM//OEPiIyMRGRkJDQajUefm4iUizV2RERukCQJa9euxZVXXgmtVovbb78dhYWFGDFiBLRaLQYPHozi4mJL+Q0bNiAlJQVarRb9+/fHjh07LPdNnjwZW7ZsQXV1tWVfVVUVPvnkE0yePNmn50VEysDEjojITU888QRWrFiBnJwcrFu3DgMHDsSMGTOwZ88elJSU4PnnnwcAHD16FJmZmXjsscfw9ddf484778SYMWPw448/AgDGjRsHANi6davl2Js3b4ZWq8WoUaN8f2JEFPCY2BFRUJk+fTqioqJsbr169XLrGA899BCuv/56DB8+HNdccw1Gjx6NP/7xj+jbty8mTJiAEydOAABefPFF3HPPPZg8eTK6d++OmTNnYsyYMXjttdcAAFqtFrfccgvWr19vOfaaNWtw6623IiSEPWWIyH385CCioPL0008jIyPDZl9oaKhbx+jWrZvlZ41Gg6SkJJvtmpoaAMC3336LNWvW4I033rDcX1tbixtuuMGyffvtt+Ouu+7CxYsXcfHiReTk5OC///2vW/EQETVgYkdEQaV9+/bo3r17q47RuDZNpXLc+FFXV4e//vWvmDJlis1+68EQv/vd76BSqfD555/DaDSiffv2GDBgQKviI6LgxcSOiMhLrrjiChQWFtokknPnzkWPHj1w9913AzDXFk6cOBEff/wx/ve//+H222+XK1wiUgAmdkQUVIxGIwwGg93+Nm3aIDIy0qPP9dBDD2Hw4MFITU3F2LFjsWnTJixZsgTbt2+3KTd58mTcdddd+PXXX/HFF194NAYiCi4cPEFEQWX27NnQ6/V2t5deesnjz5WWloZ3330Xr776KlJSUvDvf/8bq1atwpAhQ2zKDR48GCaTCZ06dXJ7IAcRkTXW2BFR0CgqKmr1MYQQNtuNlyJ76qmnbLZvu+023HbbbU0eU5IknD59utWxERGxxo6IqBlGoxGlpaU+f16TyQSDwYCqqiqfPzcRBSYmdkREzZg9ezbS09N9/rw//fQT9Ho91qxZ4/PnJqLAJInG7QpEREREFJBYY0dERESkEEzsiIiIiBSCiR0RERGRQjCxIyIiIlIIJnZERERECsHEjoiIiEghmNgRERERKQQTOyIiIiKFYGJHREREpBD/D4urSdwzLfYoAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Q1 = np.array([-1.0, 0, 0])\n",
"\n",
"ax1D001 = DataSet.generate1DAxisE(Q1,rlu=True,showQ = False)\n",
"ax1D001SUB = DataSet.generate1DAxisE(Q1,rlu=True,showQ = False)\n",
"\n",
"titles = [\"AMBER\",\"True\"]\n",
"fgDone = False\n",
"\n",
"\n",
"\n",
"for dds,title in zip([ds,ds_calculated],titles): \n",
" \n",
" \n",
" #title = bg*'Subtracted'+(1-bg)*'Foreground'#'['+', '.join(['{:.0f}'.format(x) for x in q])+'] '+bg*'Subtracted'\n",
" if dds == ds_calculated:\n",
" ax,data,bins = dds.plotCut1DE(q=Q1, E1 = -0.2, E2 =7.0, width = 0.1, minPixel=0.05,label='Subtracted',ax=None)#,backgroundSubtraction=Fal,plotForeground=True)\n",
" else:\n",
" ax,data,bins = dds.plotCut1DE(q=Q1, E1 = -0.2, E2 =7.0, width = 0.1, minPixel=0.05,label='Subtracted',ax=None,backgroundSubtraction=True,plotForeground=True)\n",
"\n",
" plt.close(ax.get_figure())\n",
" \n",
" pos = data['BinDistance'].to_numpy()\n",
"\n",
" if dds != ds_calculated:\n",
" bgvalue = data['Int_Bg'].to_numpy()\n",
" bgerr = data['Int_Bg_err'].to_numpy()\n",
" fgvalue = data['Int_Fg'].to_numpy()\n",
" fgerr = data['Int_Fg_err'].to_numpy()\n",
" subvalue = data['Int'].to_numpy()\n",
" suberr = data['Int_err'].to_numpy()\n",
" else:\n",
" fgvalue = data['Int']\n",
" fgerr = data['Int_err']\n",
" subvalue = fgvalue\n",
" suberr = fgerr\n",
" \n",
"\n",
" #if not fgDone:\n",
" ax1D001.errorbar(pos,fgvalue,yerr=fgerr,label='Foreground',fmt='.')\n",
" # fgDone = True\n",
" \n",
" c = ax1D001SUB.errorbar(pos,subvalue,yerr=suberr,label=title,fmt='.')[0]\n",
" color = c.get_color()\n",
" \n",
" ax1D001.plot(pos,bgvalue,color='k',zorder=-10)\n",
" ax1D001.fill_between(pos,bgvalue-bgerr,bgvalue+bgerr,color=color,label=title+' Background',alpha=0.5,zorder=-11)\n",
"\n",
"for ax in [ax1D001]:\n",
" ax.set_ylim(-0.3,2)\n",
" ax.legend()\n",
" \n",
" ax.set_ylabel('Int [arb. unit]')\n",
" ax.get_figure().tight_layout()\n",
" \n",
"for ax in [ax1D001SUB]:\n",
" ax.set_ylim(-0.15,1.5)\n",
" ax.legend()\n",
" ax.set_ylabel('Int [arb. unit]')\n",
" ax.get_figure().tight_layout()"
]
}
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