-
Notifications
You must be signed in to change notification settings - Fork 0
/
MOLLER Bayesian Analysis Code
393 lines (330 loc) · 21.2 KB
/
MOLLER Bayesian Analysis Code
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
import sys
sys.path.append('/home/elhamm/projects/def-wdconinc/elhamm/my_venv/lib/python3.11/site-packages')
import math
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from numpy import random
import arviz as az
import matplotlib as mpl
# Set 'serif' as the default font family
#mpl.rcParams['font.family'] = 'serif'
#mpl.rcParams['font.serif'] = ['Times New Roman'] + mpl.rcParams['font.serif']
#mpl.rcParams['font.size'] = 10
np.random.seed(101)
pi = math.pi
ActualRunTime = 8256 #Hours
N = 1
Runtime = int(ActualRunTime) #Hours
N_L = (int(0.9 * Runtime)) #Hours
N_T = (int(0.1 * Runtime)) #Hours
Window_L = ((0.9*Runtime)/(N_L))/N
Window_T = ((0.1*Runtime)/(N_T))/N
num_PionDet = 28
num_MainDet = 84
Theta_uncertainty = 0.017453292519943295 #1degree
Phi_uncertainty = 0.017453292519943295 #1degree
print("N_L =", N_L, "N_T =", N_T, "Window_L=", Window_L, "Window_T=", Window_T)
#Rates values from simulations at
#/home/elhamm/projects/def-wdconinc/elhamm/PionDetectorOptimization/simulation/run/remoll-Updated-July2023/Moller_Asymmetry/MainDet
#/home/elhamm/projects/def-wdconinc/elhamm/PionDetectorOptimization/simulation/run/remoll-Updated-July2023/Pion_Asymmetry/PionDet
I= 65 # Current (Micro-A [GHz])
Rate_Mollers_PionDet = 4.0362586*1e9
Rate_Pions_PionDet = 0.98928794*1e9
Rates_PionDet = Rate_Pions_PionDet + Rate_Mollers_PionDet
Total_Rates_PionDet = (Rates_PionDet/(50*28*85))*65
Uncertainty_L_PionDet = ((1/np.sqrt(Total_Rates_PionDet*Window_L*3600))*1e9)*(91/82)
Uncertainty_T_PionDet = ((1/np.sqrt(Total_Rates_PionDet*Window_T*3600))*1e9)*(91/82)
Rate_Mollers_MainDet = 7.1074070e+12
Rate_Pions_MainDet =7.6445978*1e9
Rates_MainDet = Rate_Pions_MainDet + Rate_Mollers_MainDet
Total_Rates_MainDet = (Rates_MainDet/(50*84))
Uncertainty_L_MainDet = ((1/np.sqrt(Total_Rates_MainDet*Window_L*3600))*1e9)*(91/82)
Uncertainty_T_MainDet = ((1/np.sqrt(Total_Rates_MainDet*Window_T*3600))*1e9)*(91/82)
print(Total_Rates_PionDet, Total_Rates_MainDet, "Uncertainty_L_PionDet=", Uncertainty_L_PionDet, "Uncertainty_L_MainDet=", Uncertainty_L_MainDet, "Uncertainty_T_PionDet=", Uncertainty_T_PionDet, "Uncertainty_T_MainDet=", Uncertainty_T_MainDet)
Asymmetry_PionDet_L_Fitted_Mean = pd.read_csv('Asymmetry_PionDet_L_Fitted_mean.csv')
dAsymmetry_PionDet_L_Fitted_Mean = pd.read_csv('dAsymmetry_PionDet_L_Fitted_mean.csv')
Asymmetry_MainDet_L_Fitted_Mean = pd.read_csv('Asymmetry_MainDet_L_Fitted_mean.csv')
dAsymmetry_MainDet_L_Fitted_Mean = pd.read_csv('dAsymmetry_MainDet_L_Fitted_mean.csv')
Asymmetry_PionDet_T_Fitted_Mean = pd.read_csv('Asymmetry_PionDet_T_Fitted_mean.csv')
dAsymmetry_PionDet_T_Fitted_Mean = pd.read_csv('dAsymmetry_PionDet_T_Fitted_mean.csv')
Asymmetry_MainDet_T_Fitted_Mean = pd.read_csv('Asymmetry_MainDet_T_Fitted_mean.csv')
dAsymmetry_MainDet_T_Fitted_Mean = pd.read_csv('dAsymmetry_MainDet_T_Fitted_mean.csv')
Asymmetry_PionDet_L_Mock_Mean = pd.read_csv('Asymmetry_PionDet_L_Mock_mean.csv')
dAsymmetry_PionDet_L_Mock_Mean = pd.read_csv('dAsymmetry_PionDet_L_Mock_mean.csv')
Asymmetry_MainDet_L_Mock_Mean = pd.read_csv('Asymmetry_MainDet_L_Mock_mean.csv')
dAsymmetry_MainDet_L_Mock_Mean = pd.read_csv('dAsymmetry_MainDet_L_Mock_mean.csv')
Asymmetry_PionDet_T_Mock_Mean = pd.read_csv('Asymmetry_PionDet_T_Mock_mean.csv')
dAsymmetry_PionDet_T_Mock_Mean = pd.read_csv('dAsymmetry_PionDet_T_Mock_mean.csv')
Asymmetry_MainDet_T_Mock_Mean = pd.read_csv('Asymmetry_MainDet_T_Mock_mean.csv')
dAsymmetry_MainDet_T_Mock_Mean = pd.read_csv('dAsymmetry_MainDet_T_Mock_mean.csv')
Asymmetry_PionDet_L_True_Mean = pd.read_csv('Asymmetry_PionDet_L_True_mean.csv')
dAsymmetry_PionDet_L_True_Mean = pd.read_csv('dAsymmetry_PionDet_L_True_mean.csv')
Asymmetry_MainDet_L_True_Mean = pd.read_csv('Asymmetry_MainDet_L_True_mean.csv')
dAsymmetry_MainDet_L_True_Mean = pd.read_csv('dAsymmetry_MainDet_L_True_mean.csv')
Asymmetry_PionDet_T_True_Mean = pd.read_csv('Asymmetry_PionDet_T_True_mean.csv')
dAsymmetry_PionDet_T_True_Mean = pd.read_csv('dAsymmetry_PionDet_T_True_mean.csv')
Asymmetry_MainDet_T_True_Mean = pd.read_csv('Asymmetry_MainDet_T_True_mean.csv')
dAsymmetry_MainDet_T_True_Mean = pd.read_csv('dAsymmetry_MainDet_T_True_mean.csv')
Asymmetry_PionDet_L_Fitted_mean =[]
dAsymmetry_PionDet_L_Fitted_mean =[]
Asymmetry_PionDet_T_Fitted_mean =[]
dAsymmetry_PionDet_T_Fitted_mean =[]
Asymmetry_PionDet_L_Mock_mean =[]
dAsymmetry_PionDet_L_Mock_mean =[]
Asymmetry_PionDet_T_Mock_mean =[]
dAsymmetry_PionDet_T_Mock_mean =[]
Asymmetry_PionDet_L_True_mean =[]
dAsymmetry_PionDet_L_True_mean =[]
Asymmetry_PionDet_T_True_mean =[]
dAsymmetry_PionDet_T_True_mean =[]
Asymmetry_MainDet_L_Fitted_mean =[]
dAsymmetry_MainDet_L_Fitted_mean =[]
Asymmetry_MainDet_T_Fitted_mean =[]
dAsymmetry_MainDet_T_Fitted_mean =[]
Asymmetry_MainDet_L_Mock_mean =[]
dAsymmetry_MainDet_L_Mock_mean =[]
Asymmetry_MainDet_T_Mock_mean =[]
dAsymmetry_MainDet_T_Mock_mean =[]
Asymmetry_MainDet_L_True_mean =[]
dAsymmetry_MainDet_L_True_mean =[]
Asymmetry_MainDet_T_True_mean =[]
dAsymmetry_MainDet_T_True_mean =[]
for i in range(28):
Asymmetry_PionDet_L_Fitted_mean_value = (Asymmetry_PionDet_L_Fitted_Mean.at[i, 'Asymmetry_PionDet_L_Fitted_mean'])
Asymmetry_PionDet_L_Fitted_mean.append(Asymmetry_PionDet_L_Fitted_mean_value)
dAsymmetry_PionDet_L_Fitted_mean_value = (dAsymmetry_PionDet_L_Fitted_Mean.at[i, 'dAsymmetry_PionDet_L_Fitted_mean'])
dAsymmetry_PionDet_L_Fitted_mean.append(dAsymmetry_PionDet_L_Fitted_mean_value)
Asymmetry_PionDet_T_Fitted_mean_value = (Asymmetry_PionDet_T_Fitted_Mean.at[i, 'Asymmetry_PionDet_T_Fitted_mean'])
Asymmetry_PionDet_T_Fitted_mean.append(Asymmetry_PionDet_T_Fitted_mean_value)
dAsymmetry_PionDet_T_Fitted_mean_value = (dAsymmetry_PionDet_T_Fitted_Mean.at[i, 'dAsymmetry_PionDet_T_Fitted_mean'])
dAsymmetry_PionDet_T_Fitted_mean.append(dAsymmetry_PionDet_T_Fitted_mean_value)
Asymmetry_PionDet_L_Mock_mean_value = (Asymmetry_PionDet_L_Mock_Mean.at[i, 'Asymmetry_PionDet_L_Mock_mean'])
Asymmetry_PionDet_L_Mock_mean.append(Asymmetry_PionDet_L_Mock_mean_value)
dAsymmetry_PionDet_L_Mock_mean_value = (dAsymmetry_PionDet_L_Mock_Mean.at[i, 'dAsymmetry_PionDet_L_Mock_mean'])
dAsymmetry_PionDet_L_Mock_mean.append(dAsymmetry_PionDet_L_Mock_mean_value)
Asymmetry_PionDet_T_Mock_mean_value = (Asymmetry_PionDet_T_Mock_Mean.at[i, 'Asymmetry_PionDet_T_Mock_mean'])
Asymmetry_PionDet_T_Mock_mean.append(Asymmetry_PionDet_T_Mock_mean_value)
dAsymmetry_PionDet_T_Mock_mean_value = (dAsymmetry_PionDet_T_Mock_Mean.at[i, 'dAsymmetry_PionDet_T_Mock_mean'])
dAsymmetry_PionDet_T_Mock_mean.append(dAsymmetry_PionDet_T_Mock_mean_value)
Asymmetry_PionDet_L_True_mean_value = (Asymmetry_PionDet_L_True_Mean.at[i, 'Asymmetry_PionDet_L_True_mean'])
Asymmetry_PionDet_L_True_mean.append(Asymmetry_PionDet_L_True_mean_value)
dAsymmetry_PionDet_L_True_mean_value = (dAsymmetry_PionDet_L_True_Mean.at[i, 'dAsymmetry_PionDet_L_True_mean'])
dAsymmetry_PionDet_L_True_mean.append(dAsymmetry_PionDet_L_True_mean_value)
Asymmetry_PionDet_T_True_mean_value = (Asymmetry_PionDet_T_True_Mean.at[i, 'Asymmetry_PionDet_T_True_mean'])
Asymmetry_PionDet_T_True_mean.append(Asymmetry_PionDet_T_True_mean_value)
dAsymmetry_PionDet_T_True_mean_value = (dAsymmetry_PionDet_T_True_Mean.at[i, 'dAsymmetry_PionDet_T_True_mean'])
dAsymmetry_PionDet_T_True_mean.append(dAsymmetry_PionDet_T_True_mean_value)
for i in range(84):
Asymmetry_MainDet_L_Fitted_mean_value = (Asymmetry_MainDet_L_Fitted_Mean.at[i, 'Asymmetry_MainDet_L_Fitted_mean'])
Asymmetry_MainDet_L_Fitted_mean.append(Asymmetry_MainDet_L_Fitted_mean_value)
dAsymmetry_MainDet_L_Fitted_mean_value = (dAsymmetry_MainDet_L_Fitted_Mean.at[i, 'dAsymmetry_MainDet_L_Fitted_mean'])
dAsymmetry_MainDet_L_Fitted_mean.append(dAsymmetry_MainDet_L_Fitted_mean_value)
Asymmetry_MainDet_T_Fitted_mean_value = (Asymmetry_MainDet_T_Fitted_Mean.at[i, 'Asymmetry_MainDet_T_Fitted_mean'])
Asymmetry_MainDet_T_Fitted_mean.append(Asymmetry_MainDet_T_Fitted_mean_value)
dAsymmetry_MainDet_T_Fitted_mean_value = (dAsymmetry_MainDet_T_Fitted_Mean.at[i, 'dAsymmetry_MainDet_T_Fitted_mean'])
dAsymmetry_MainDet_T_Fitted_mean.append(dAsymmetry_MainDet_T_Fitted_mean_value)
Asymmetry_MainDet_L_Mock_mean_value = (Asymmetry_MainDet_L_Mock_Mean.at[i, 'Asymmetry_MainDet_L_Mock_mean'])
Asymmetry_MainDet_L_Mock_mean.append(Asymmetry_MainDet_L_Mock_mean_value)
dAsymmetry_MainDet_L_Mock_mean_value = (dAsymmetry_MainDet_L_Mock_Mean.at[i, 'dAsymmetry_MainDet_L_Mock_mean'])
dAsymmetry_MainDet_L_Mock_mean.append(dAsymmetry_MainDet_L_Mock_mean_value)
Asymmetry_MainDet_T_Mock_mean_value = (Asymmetry_MainDet_T_Mock_Mean.at[i, 'Asymmetry_MainDet_T_Mock_mean'])
Asymmetry_MainDet_T_Mock_mean.append(Asymmetry_MainDet_T_Mock_mean_value)
dAsymmetry_MainDet_T_Mock_mean_value = (dAsymmetry_MainDet_T_Mock_Mean.at[i, 'dAsymmetry_MainDet_T_Mock_mean'])
dAsymmetry_MainDet_T_Mock_mean.append(dAsymmetry_MainDet_T_Mock_mean_value)
Asymmetry_MainDet_L_True_mean_value = (Asymmetry_MainDet_L_True_Mean.at[i, 'Asymmetry_MainDet_L_True_mean'])
Asymmetry_MainDet_L_True_mean.append(Asymmetry_MainDet_L_True_mean_value)
dAsymmetry_MainDet_L_True_mean_value = (dAsymmetry_MainDet_L_True_Mean.at[i, 'dAsymmetry_MainDet_L_True_mean'])
dAsymmetry_MainDet_L_True_mean.append(dAsymmetry_MainDet_L_True_mean_value)
Asymmetry_MainDet_T_True_mean_value = (Asymmetry_MainDet_T_True_Mean.at[i, 'Asymmetry_MainDet_T_True_mean'])
Asymmetry_MainDet_T_True_mean.append(Asymmetry_MainDet_T_True_mean_value)
dAsymmetry_MainDet_T_True_mean_value = (dAsymmetry_MainDet_T_True_Mean.at[i, 'dAsymmetry_MainDet_T_True_mean'])
dAsymmetry_MainDet_T_True_mean.append(dAsymmetry_MainDet_T_True_mean_value)
Asymmetry_PionDet_L_Fitted_mean = np.array(Asymmetry_PionDet_L_Fitted_mean)
Asymmetry_PionDet_L_Mock_mean = np.array(Asymmetry_PionDet_L_Mock_mean)
Asymmetry_PionDet_L_True_mean = np.array(Asymmetry_PionDet_L_True_mean)
dAsymmetry_PionDet_L_Fitted_mean = np.array(dAsymmetry_PionDet_L_Fitted_mean)
dAsymmetry_PionDet_L_True_mean = np.array(dAsymmetry_PionDet_L_True_mean)
dAsymmetry_PionDet_L_Mock_mean = np.array(dAsymmetry_PionDet_L_Mock_mean)
DetNo = list(range(1, 29))
Asymmetry_PionDet_L_Fitted_mean = np.array(Asymmetry_PionDet_L_Fitted_mean)
Asymmetry_PionDet_L_Mock_mean = np.array(Asymmetry_PionDet_L_Mock_mean)
Asymmetry_PionDet_L_True_mean = np.array(Asymmetry_PionDet_L_True_mean)
dAsymmetry_PionDet_L_Fitted_mean = np.array(dAsymmetry_PionDet_L_Fitted_mean)
dAsymmetry_PionDet_L_True_mean = np.array(dAsymmetry_PionDet_L_True_mean)
dAsymmetry_PionDet_L_Mock_mean = np.array(dAsymmetry_PionDet_L_Mock_mean)
DetNo = list(range(1, 29))
pull_values_Measured_True = (Asymmetry_PionDet_L_True_mean - Asymmetry_PionDet_L_Mock_mean) / (dAsymmetry_PionDet_L_Mock_mean / np.sqrt(N_L))
# Create a figure and a set of subplots with adjusted grid specs
fig, axs = plt.subplots(2, 2, figsize=(12, 6), gridspec_kw={'width_ratios': [3, 1], 'height_ratios': [3, 1]})
# Adjusting DetNo values for offset
offset = 0.18 # Change this value as needed for desired separation
DetNo_green = [x + offset for x in DetNo] # Offset for green points
DetNo_blue = [x - offset for x in DetNo] # Offset for blue points
# Main plot on the first row, first column
ax1 = axs[0, 0]
ax1.plot(DetNo_green, Asymmetry_PionDet_L_True_mean, 'd', color='green', markersize=6, label='True Asymmetry')
ax1.plot(DetNo_blue, Asymmetry_PionDet_L_Mock_mean, 's', color='blue', markersize=6, label='Mock Asymmetry Average')
ax1.fill_between(DetNo, Asymmetry_PionDet_L_Mock_mean - dAsymmetry_PionDet_L_Mock_mean, Asymmetry_PionDet_L_Mock_mean + dAsymmetry_PionDet_L_Mock_mean, color='blue', alpha=0.2, label='Mock Asymmetry Uncertainty\n(Per Measurement)')
ax1.set_ylabel('Asymmetry (ppb)', fontsize=12)
ax1.set_title('True Asymmetry and Mock Asymmetry Average (Pion Detector - Longitudinal DataSet)', fontsize=12)
ax1.legend(fontsize=10, loc='upper right')
ax1.grid(False)
# Pull plot for pull_values_Measured_True
ax_pull = axs[1, 0]
ax_pull.plot(DetNo, pull_values_Measured_True, 'o', color='green', markersize=5.5)
ax_pull.axhline(0, color='black', linewidth=0.5)
ax_pull.set_xlabel('Detector Number', fontsize=12)
ax_pull.set_ylabel('Normalized Residual', fontsize=12)
ax_pull.set_title('Normalized Residual (True-Mock)', fontsize=12)
ax_pull.grid(False)
# Histogram of pull_values_Measured_True
ax_hist = axs[1, 1]
counts, bins, patches = ax_hist.hist(pull_values_Measured_True, bins=28, color='green', alpha=0.7)
mean_value = np.mean(pull_values_Measured_True)
rms_value = np.sqrt(np.mean(np.square(pull_values_Measured_True - mean_value)))
ax_hist.set_title('Histogram of Normalized Residual', fontsize=12)
ax_hist.set_xlabel('Normalized Residual', fontsize=12)
ax_hist.set_ylabel('Frequency', fontsize=12)
ax_hist.legend([f'Mean: {mean_value:.2f}\nRMS: {rms_value:.2f}'], fontsize=10, handlelength=0, loc='upper right')
ax_hist.grid(False)
# Adjust the layout
plt.tight_layout()
plt.savefig('PionDet_L_TrueVsMock.png')
# Assuming the arrays are defined
Asymmetry_PionDet_T_Fitted_mean = np.array(Asymmetry_PionDet_T_Fitted_mean)
Asymmetry_PionDet_T_Mock_mean = np.array(Asymmetry_PionDet_T_Mock_mean)
Asymmetry_PionDet_T_True_mean = np.array(Asymmetry_PionDet_T_True_mean)
dAsymmetry_PionDet_T_Fitted_mean = np.array(dAsymmetry_PionDet_T_Fitted_mean)
dAsymmetry_PionDet_T_True_mean = np.array(dAsymmetry_PionDet_T_True_mean)
dAsymmetry_PionDet_T_Mock_mean = np.array(dAsymmetry_PionDet_T_Mock_mean)
DetNo = list(range(1, 29))
# Calculate pull values
pull_values_Measured_True = (Asymmetry_PionDet_T_True_mean - Asymmetry_PionDet_T_Mock_mean) / (dAsymmetry_PionDet_T_Mock_mean / np.sqrt(N_T))
# Create a figure and a set of subplots with adjusted grid specs
fig, axs = plt.subplots(2, 2, figsize=(12, 6), gridspec_kw={'width_ratios': [3, 1], 'height_ratios': [3, 1]})
# Adjusting DetNo values for offset
offset = 0.18 # Change this value as needed for desired separation
DetNo_green = [x + offset for x in DetNo] # Offset for green points
DetNo_blue = [x - offset for x in DetNo] # Offset for blue points
# Main plot on the first row, first column
ax1 = axs[0, 0]
ax1.plot(DetNo_green, Asymmetry_PionDet_T_True_mean, 'd', color='green', markersize=6, label='True Asymmetry')
ax1.plot(DetNo_blue, Asymmetry_PionDet_T_Mock_mean, 's', color='blue', markersize=6, label='Mock Asymmetry Average')
ax1.fill_between(DetNo, Asymmetry_PionDet_T_Mock_mean - dAsymmetry_PionDet_T_Mock_mean, Asymmetry_PionDet_T_Mock_mean + dAsymmetry_PionDet_T_Mock_mean, color='blue', alpha=0.2, label='Mock Asymmetry Uncertainty\n(Per Measurement)')
ax1.set_ylabel('Asymmetry (ppb)', fontsize=12)
ax1.set_title('True Asymmetry and Mock Asymmetry Average (Pion Detector - Transverse DataSet)', fontsize=12)
ax1.legend(fontsize=8, loc='upper right')
ax1.grid(False)
# Pull plot for pull_values_Measured_True
ax_pull = axs[1, 0]
ax_pull.plot(DetNo, pull_values_Measured_True, 'o', color='green', markersize=5.5)
ax_pull.axhline(0, color='black', linewidth=0.5)
ax_pull.set_xlabel('Detector Number', fontsize=12)
ax_pull.set_ylabel('Normalized Residual', fontsize=12)
ax_pull.set_title('Normalized Residual (True-Mock)', fontsize=12)
ax_pull.grid(False)
# Histogram of pull_values_Measured_True
ax_hist = axs[1, 1]
counts, bins, patches = ax_hist.hist(pull_values_Measured_True, bins=28, color='green', alpha=0.7)
mean_value = np.mean(pull_values_Measured_True)
rms_value = np.sqrt(np.mean(np.square(pull_values_Measured_True - mean_value)))
ax_hist.set_title('Histogram of Normalized Residual', fontsize=12)
ax_hist.set_xlabel('Normalized Residual', fontsize=12)
ax_hist.set_ylabel('Frequency', fontsize=12)
ax_hist.legend([f'Mean: {mean_value:.2f}\nRMS: {rms_value:.2f}'], fontsize=10, handlelength=0, loc='upper right')
ax_hist.grid(False)
# Adjust the layout
plt.tight_layout()
plt.savefig('PionDet_T_TrueVsMock.png')
Asymmetry_MainDet_L_Fitted_mean = np.array(Asymmetry_MainDet_L_Fitted_mean)
Asymmetry_MainDet_L_Mock_mean = np.array(Asymmetry_MainDet_L_Mock_mean)
Asymmetry_MainDet_L_True_mean = np.array(Asymmetry_MainDet_L_True_mean)
dAsymmetry_MainDet_L_Fitted_mean = np.array(dAsymmetry_MainDet_L_Fitted_mean)
dAsymmetry_MainDet_L_True_mean = np.array(dAsymmetry_MainDet_L_True_mean)
dAsymmetry_MainDet_L_Mock_mean = np.array(dAsymmetry_MainDet_L_Mock_mean)
DetNo = list(range(1, 85))
pull_values_Measured_True = (Asymmetry_MainDet_L_True_mean - Asymmetry_MainDet_L_Mock_mean) / (dAsymmetry_MainDet_L_Mock_mean / np.sqrt(N_L))
# Create a figure and a set of subplots with adjusted grid specs
fig, axs = plt.subplots(2, 2, figsize=(12, 6), gridspec_kw={'width_ratios': [3, 1], 'height_ratios': [3, 1]})
# Adjusting DetNo values for offset
offset = 0.4 # Change this value as needed for desired separation
DetNo_green = [x + offset for x in DetNo] # Offset for green points
DetNo_blue = [x - offset for x in DetNo] # Offset for blue points
# Main plot on the first row, first column
ax1 = axs[0, 0]
ax1.plot(DetNo_green, Asymmetry_MainDet_L_True_mean, 'd', color='green', markersize=6, label='True Asymmetry')
ax1.plot(DetNo_blue, Asymmetry_MainDet_L_Mock_mean, 's', color='blue', markersize=6, label='Mock Asymmetry Average')
ax1.fill_between(DetNo, Asymmetry_MainDet_L_Mock_mean - dAsymmetry_MainDet_L_Mock_mean, Asymmetry_MainDet_L_Mock_mean + dAsymmetry_MainDet_L_Mock_mean, color='blue', alpha=0.2, label='Mock Asymmetry Uncertainty\n(Per Measurement)')
ax1.set_ylabel('Asymmetry (ppb)', fontsize=12)
ax1.set_title('True Asymmetry and Mock Asymmetry Average (Main Detector - Longitudinal DataSet)', fontsize=12)
ax1.legend(fontsize=10, loc='upper right')
ax1.grid(False)
# Pull plot for pull_values_Measured_True
ax_pull = axs[1, 0]
ax_pull.plot(DetNo, pull_values_Measured_True, 'o', color='green', markersize=5.5)
ax_pull.axhline(0, color='black', linewidth=0.5)
ax_pull.set_xlabel('Detector Number', fontsize=12)
ax_pull.set_ylabel('Normalized Residual', fontsize=12)
ax_pull.set_title('Normalized Residual (True-Mock)', fontsize=12)
ax_pull.grid(False)
# Histogram of pull_values_Measured_True
ax_hist = axs[1, 1]
counts, bins, patches = ax_hist.hist(pull_values_Measured_True, bins=28, color='green', alpha=0.7)
mean_value = np.mean(pull_values_Measured_True)
rms_value = np.sqrt(np.mean(np.square(pull_values_Measured_True - mean_value)))
ax_hist.set_title('Histogram of Normalized Residual', fontsize=12)
ax_hist.set_xlabel('Normalized Residual', fontsize=12)
ax_hist.set_ylabel('Frequency', fontsize=12)
ax_hist.legend([f'Mean: {mean_value:.2f}\nRMS: {rms_value:.2f}'], fontsize=10, handlelength=0, loc='upper right')
ax_hist.grid(False)
# Adjust the layout
plt.tight_layout()
plt.savefig('MainDet_L_TrueVsMock.png')
# Assuming the arrays are defined
Asymmetry_MainDet_T_Fitted_mean = np.array(Asymmetry_MainDet_T_Fitted_mean)
Asymmetry_MainDet_T_Mock_mean = np.array(Asymmetry_MainDet_T_Mock_mean)
Asymmetry_MainDet_T_True_mean = np.array(Asymmetry_MainDet_T_True_mean)
dAsymmetry_MainDet_T_Fitted_mean = np.array(dAsymmetry_MainDet_T_Fitted_mean)
dAsymmetry_MainDet_T_True_mean = np.array(dAsymmetry_MainDet_T_True_mean)
dAsymmetry_MainDet_T_Mock_mean = np.array(dAsymmetry_MainDet_T_Mock_mean)
DetNo = list(range(1, 85))
# Calculate pull values
pull_values_Measured_True = (Asymmetry_MainDet_T_True_mean - Asymmetry_MainDet_T_Mock_mean) / (dAsymmetry_MainDet_T_Mock_mean / np.sqrt(N_T))
# Create a figure and a set of subplots with adjusted grid specs
fig, axs = plt.subplots(2, 2, figsize=(12, 6), gridspec_kw={'width_ratios': [3, 1], 'height_ratios': [3, 1]})
# Adjusting DetNo values for offset
offset = 0.57 # Change this value as needed for desired separation
DetNo_green = [x + offset for x in DetNo] # Offset for green points
DetNo_blue = [x - offset for x in DetNo] # Offset for blue points
# Main plot on the first row, first column
ax1 = axs[0, 0]
ax1.plot(DetNo_green, Asymmetry_MainDet_T_True_mean, 'd', color='green', markersize=6, label='True Asymmetry')
ax1.plot(DetNo_blue, Asymmetry_MainDet_T_Mock_mean, 's', color='blue', markersize=6, label='Mock Asymmetry Average')
ax1.fill_between(DetNo, Asymmetry_MainDet_T_Mock_mean - dAsymmetry_MainDet_T_Mock_mean, Asymmetry_MainDet_T_Mock_mean + dAsymmetry_MainDet_T_Mock_mean, color='blue', alpha=0.2, label='Mock Asymmetry Uncertainty\n(Per Measurement)')
ax1.set_ylabel('Asymmetry (ppb)', fontsize=12)
ax1.set_title('True Asymmetry and Mock Asymmetry Average (Main Detector - Transverse DataSet)', fontsize=12)
ax1.legend(fontsize=10, loc='upper right')
ax1.grid(False)
# Pull plot for pull_values_Measured_True
ax_pull = axs[1, 0]
ax_pull.plot(DetNo, pull_values_Measured_True, 'o', color='green', markersize=5.5)
ax_pull.axhline(0, color='black', linewidth=0.5)
ax_pull.set_xlabel('Detector Number', fontsize=12)
ax_pull.set_ylabel('Normalized Residual', fontsize=12)
ax_pull.set_title('Normalized Residual (True-Mock)', fontsize=12)
ax_pull.grid(False)
# Histogram of pull_values_Measured_True
ax_hist = axs[1, 1]
counts, bins, patches = ax_hist.hist(pull_values_Measured_True, bins=28, color='green', alpha=0.7)
mean_value = np.mean(pull_values_Measured_True)
rms_value = np.sqrt(np.mean(np.square(pull_values_Measured_True - mean_value)))
ax_hist.set_title('Histogram of Normalized Residual', fontsize=12)
ax_hist.set_xlabel('Normalized Residual', fontsize=12)
ax_hist.set_ylabel('Frequency', fontsize=12)
ax_hist.legend([f'Mean: {mean_value:.2f}\nRMS: {rms_value:.2f}'], fontsize=10, handlelength=0, loc='upper right')
ax_hist.grid(False)
# Adjust the layout
plt.tight_layout()
plt.savefig('MainDet_T_TrueVsMock.png')